| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 3120.a1 |
3120o3 |
3120.a |
3120o |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{17} \cdot 3 \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.890411$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$6.71623$ |
$[0, -1, 0, -1384456, -626537744]$ |
\(y^2=x^3-x^2-1384456x-626537744\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[]$ |
| 3120.a2 |
3120o4 |
3120.a |
3120o |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{17} \cdot 3^{4} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.890411$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$5.73388$ |
$[0, -1, 0, -99336, -6673680]$ |
\(y^2=x^3-x^2-99336x-6673680\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 24.24.0-24.y.1.16, $\ldots$ |
$[]$ |
| 3120.a3 |
3120o2 |
3120.a |
3120o |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{22} \cdot 3^{2} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$1.543837$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$5.68244$ |
$[0, -1, 0, -86536, -9766160]$ |
\(y^2=x^3-x^2-86536x-9766160\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 24.24.0-24.b.1.3, $\ldots$ |
$[]$ |
| 3120.a4 |
3120o1 |
3120.a |
3120o |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{32} \cdot 3 \cdot 5 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.197264$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$4.71435$ |
$[0, -1, 0, -4616, -197904]$ |
\(y^2=x^3-x^2-4616x-197904\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 3120.b1 |
3120q4 |
3120.b |
3120q |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.343106291$ |
$1$ |
|
$11$ |
$6912$ |
$1.372971$ |
$189208196468929/10860320250$ |
$0.98694$ |
$5.11978$ |
$[0, -1, 0, -19136, 973440]$ |
\(y^2=x^3-x^2-19136x+973440\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$ |
$[(104, 312)]$ |
| 3120.b2 |
3120q2 |
3120.b |
3120q |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 3^{6} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1.029318873$ |
$1$ |
|
$7$ |
$2304$ |
$0.823665$ |
$967068262369/4928040$ |
$0.95296$ |
$4.46397$ |
$[0, -1, 0, -3296, -71424]$ |
\(y^2=x^3-x^2-3296x-71424\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$ |
$[(-32, 16)]$ |
| 3120.b3 |
3120q1 |
3120.b |
3120q |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$2.058637746$ |
$1$ |
|
$5$ |
$1152$ |
$0.477091$ |
$-24137569/561600$ |
$1.08140$ |
$3.60888$ |
$[0, -1, 0, -96, -2304]$ |
\(y^2=x^3-x^2-96x-2304\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.c.1, $\ldots$ |
$[(26, 110)]$ |
| 3120.b4 |
3120q3 |
3120.b |
3120q |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3 \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$0.686212582$ |
$1$ |
|
$7$ |
$3456$ |
$1.026398$ |
$17394111071/411937500$ |
$1.08898$ |
$4.42281$ |
$[0, -1, 0, 864, 61440]$ |
\(y^2=x^3-x^2+864x+61440\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.c.1, $\ldots$ |
$[(-16, 208)]$ |
| 3120.c1 |
3120a3 |
3120.c |
3120a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1.198913471$ |
$1$ |
|
$7$ |
$6144$ |
$1.320562$ |
$52337949619538/23423590125$ |
$0.99759$ |
$4.87390$ |
$[0, -1, 0, -9896, 183696]$ |
\(y^2=x^3-x^2-9896x+183696\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ |
$[(8, 324)]$ |
| 3120.c2 |
3120a2 |
3120.c |
3120a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$2.397826943$ |
$1$ |
|
$9$ |
$3072$ |
$0.973989$ |
$12677589459076/213890625$ |
$1.04517$ |
$4.61151$ |
$[0, -1, 0, -4896, -128304]$ |
\(y^2=x^3-x^2-4896x-128304\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 52.12.0-2.a.1.1, $\ldots$ |
$[(-40, 44)]$ |
| 3120.c3 |
3120a1 |
3120.c |
3120a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$4.795653886$ |
$1$ |
|
$3$ |
$1536$ |
$0.627416$ |
$50091484483024/14625$ |
$1.04455$ |
$4.60999$ |
$[0, -1, 0, -4876, -129440]$ |
\(y^2=x^3-x^2-4876x-129440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.1, 40.24.0-40.bb.1.1, $\ldots$ |
$[(81, 22)]$ |
| 3120.c4 |
3120a4 |
3120.c |
3120a |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$4.795653886$ |
$1$ |
|
$3$ |
$6144$ |
$1.320562$ |
$-546718898/28564453125$ |
$1.10685$ |
$4.86661$ |
$[0, -1, 0, -216, -367920]$ |
\(y^2=x^3-x^2-216x-367920\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 52.12.0-4.c.1.2, $\ldots$ |
$[(194, 2618)]$ |
| 3120.d1 |
3120m1 |
3120.d |
3120m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.818000$ |
$-32278933504/27421875$ |
$0.96372$ |
$4.15369$ |
$[0, -1, 0, -1061, 21261]$ |
\(y^2=x^3-x^2-1061x+21261\) |
390.2.0.? |
$[]$ |
| 3120.e1 |
3120p2 |
3120.e |
3120p |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3 \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$0.270963723$ |
$1$ |
|
$6$ |
$864$ |
$0.323000$ |
$-4684079104/823875$ |
$0.93879$ |
$3.48986$ |
$[0, -1, 0, -221, 1521]$ |
\(y^2=x^3-x^2-221x+1521\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 390.8.0.?, 780.16.0.? |
$[(13, 26)]$ |
| 3120.e2 |
3120p1 |
3120.e |
3120p |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$0.812891171$ |
$1$ |
|
$4$ |
$288$ |
$-0.226306$ |
$2809856/1755$ |
$0.89795$ |
$2.53478$ |
$[0, -1, 0, 19, -15]$ |
\(y^2=x^3-x^2+19x-15\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 390.8.0.?, 780.16.0.? |
$[(1, 2)]$ |
| 3120.f1 |
3120b1 |
3120.f |
3120b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5 \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10560$ |
$1.359739$ |
$396555344454656/328867205355$ |
$1.02213$ |
$4.86714$ |
$[0, -1, 0, 9719, -245915]$ |
\(y^2=x^3-x^2+9719x-245915\) |
390.2.0.? |
$[]$ |
| 3120.g1 |
3120n1 |
3120.g |
3120n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.135119$ |
$3718856704/2132325$ |
$1.07236$ |
$3.08359$ |
$[0, -1, 0, -81, 0]$ |
\(y^2=x^3-x^2-81x\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 3120.g2 |
3120n2 |
3120.g |
3120n |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.481692$ |
$14647977776/8555625$ |
$0.99143$ |
$3.59859$ |
$[0, -1, 0, 324, -324]$ |
\(y^2=x^3-x^2+324x-324\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 3120.h1 |
3120c3 |
3120.h |
3120c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3 \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.645320$ |
$490757540836/2142075$ |
$0.93734$ |
$4.20736$ |
$[0, -1, 0, -1656, 26400]$ |
\(y^2=x^3-x^2-1656x+26400\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
| 3120.h2 |
3120c2 |
3120.h |
3120c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.298747$ |
$1650587344/950625$ |
$0.98820$ |
$3.32724$ |
$[0, -1, 0, -156, 0]$ |
\(y^2=x^3-x^2-156x\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.2, 156.48.0.? |
$[]$ |
| 3120.h3 |
3120c1 |
3120.h |
3120c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$-0.047827$ |
$9538484224/26325$ |
$0.91841$ |
$3.20066$ |
$[0, -1, 0, -111, -414]$ |
\(y^2=x^3-x^2-111x-414\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
| 3120.h4 |
3120c4 |
3120.h |
3120c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.645320$ |
$26198797244/15234375$ |
$1.02140$ |
$3.84316$ |
$[0, -1, 0, 624, -624]$ |
\(y^2=x^3-x^2+624x-624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
| 3120.i1 |
3120f3 |
3120.i |
3120f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.39 |
2B |
$1040$ |
$192$ |
$3$ |
$2.947029457$ |
$1$ |
|
$7$ |
$12288$ |
$1.592100$ |
$19129597231400697604/26325$ |
$1.02876$ |
$6.37980$ |
$[0, -1, 0, -561600, 162177552]$ |
\(y^2=x^3-x^2-561600x+162177552\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 16.48.0-16.i.1.1, 26.6.0.b.1, $\ldots$ |
$[(449, 580)]$ |
| 3120.i2 |
3120f2 |
3120.i |
3120f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.39 |
2Cs |
$520$ |
$192$ |
$3$ |
$1.473514728$ |
$1$ |
|
$9$ |
$6144$ |
$1.245527$ |
$18681746265374416/693005625$ |
$1.11967$ |
$5.34597$ |
$[0, -1, 0, -35100, 2542752]$ |
\(y^2=x^3-x^2-35100x+2542752\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 8.48.0-8.g.1.1, 52.48.0-52.b.1.1, 104.96.1.?, $\ldots$ |
$[(104, 80)]$ |
| 3120.i3 |
3120f4 |
3120.i |
3120f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.48.0.2 |
2B |
$1040$ |
$192$ |
$3$ |
$0.736757364$ |
$1$ |
|
$15$ |
$12288$ |
$1.592100$ |
$-4053153720264484/903687890625$ |
$0.99872$ |
$5.36886$ |
$[0, -1, 0, -33480, 2786400]$ |
\(y^2=x^3-x^2-33480x+2786400\) |
2.3.0.a.1, 4.48.0-4.c.1.1, 104.96.1.?, 1040.192.3.? |
$[(45, 1170)]$ |
| 3120.i4 |
3120f1 |
3120.i |
3120f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.55 |
2B |
$1040$ |
$192$ |
$3$ |
$2.947029457$ |
$1$ |
|
$3$ |
$3072$ |
$0.898953$ |
$83587439220736/13990184325$ |
$1.00034$ |
$4.32902$ |
$[0, -1, 0, -2295, 36450]$ |
\(y^2=x^3-x^2-2295x+36450\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 16.48.0-16.i.1.3, 26.6.0.b.1, $\ldots$ |
$[(10, 120)]$ |
| 3120.j1 |
3120s4 |
3120.j |
3120s |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{27} \cdot 3^{6} \cdot 5 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$103680$ |
$2.698532$ |
$73474353581350183614361/576510977802240$ |
$1.05636$ |
$7.57794$ |
$[0, -1, 0, -13961240, 20083149552]$ |
\(y^2=x^3-x^2-13961240x+20083149552\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.b.1, $\ldots$ |
$[]$ |
| 3120.j2 |
3120s3 |
3120.j |
3120s |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{42} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$51840$ |
$2.351959$ |
$-16818951115904497561/1592332281446400$ |
$1.03465$ |
$6.55494$ |
$[0, -1, 0, -854040, 327977712]$ |
\(y^2=x^3-x^2-854040x+327977712\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 40.6.0.c.1, $\ldots$ |
$[]$ |
| 3120.j3 |
3120s2 |
3120.j |
3120s |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{17} \cdot 3^{18} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$2.149227$ |
$453198971846635561/261896250564000$ |
$1.11183$ |
$6.08692$ |
$[0, -1, 0, -256040, -1791888]$ |
\(y^2=x^3-x^2-256040x-1791888\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.b.1, $\ldots$ |
$[]$ |
| 3120.j4 |
3120s1 |
3120.j |
3120s |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{22} \cdot 3^{9} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$17280$ |
$1.802654$ |
$7064514799444439/4094064000000$ |
$1.10261$ |
$5.56971$ |
$[0, -1, 0, 63960, -255888]$ |
\(y^2=x^3-x^2+63960x-255888\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 40.6.0.c.1, $\ldots$ |
$[]$ |
| 3120.k1 |
3120r7 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.28 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$24576$ |
$1.882565$ |
$242970740812818720001/24375$ |
$1.04119$ |
$6.86802$ |
$[0, -1, 0, -2080000, 1155324352]$ |
\(y^2=x^3-x^2-2080000x+1155324352\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.by.1.3, $\ldots$ |
$[]$ |
| 3120.k2 |
3120r5 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.28 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$12288$ |
$1.535990$ |
$59319456301170001/594140625$ |
$1.01234$ |
$5.83419$ |
$[0, -1, 0, -130000, 18084352]$ |
\(y^2=x^3-x^2-130000x+18084352\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.i.1.10, 24.96.0-24.bb.1.3, 80.96.0.?, $\ldots$ |
$[]$ |
| 3120.k3 |
3120r8 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{16} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.28 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.882565$ |
$-55150149867714721/5950927734375$ |
$1.01425$ |
$5.84638$ |
$[0, -1, 0, -126880, 18990400]$ |
\(y^2=x^3-x^2-126880x+18990400\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.g.1.2, 24.48.0-24.bz.2.3, $\ldots$ |
$[]$ |
| 3120.k4 |
3120r3 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.48.0.3 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$7$ |
$6144$ |
$1.189417$ |
$15551989015681/1445900625$ |
$0.97384$ |
$4.80922$ |
$[0, -1, 0, -8320, 270400]$ |
\(y^2=x^3-x^2-8320x+270400\) |
2.6.0.a.1, 4.48.0-4.b.1.1, 24.96.0-24.b.1.11, 40.96.0-40.b.2.2, 104.96.0.?, $\ldots$ |
$[]$ |
| 3120.k5 |
3120r2 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.35 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.842843$ |
$168288035761/27720225$ |
$1.01793$ |
$4.24664$ |
$[0, -1, 0, -1840, -25088]$ |
\(y^2=x^3-x^2-1840x-25088\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.i.1.2, 40.96.0-40.bc.2.3, 48.96.0-48.d.1.2, $\ldots$ |
$[]$ |
| 3120.k6 |
3120r1 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{4} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.44 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.496270$ |
$147281603041/5265$ |
$0.93867$ |
$4.23007$ |
$[0, -1, 0, -1760, -27840]$ |
\(y^2=x^3-x^2-1760x-27840\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 40.48.0-40.cb.2.3, $\ldots$ |
$[]$ |
| 3120.k7 |
3120r4 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.44 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6144$ |
$1.189417$ |
$1023887723039/2798036865$ |
$1.05353$ |
$4.63443$ |
$[0, -1, 0, 3360, -145728]$ |
\(y^2=x^3-x^2+3360x-145728\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.g.1.6, 40.48.0-40.ca.1.11, $\ldots$ |
$[]$ |
| 3120.k8 |
3120r6 |
3120.k |
3120r |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.60 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.535990$ |
$24487529386319/183539412225$ |
$1.01498$ |
$5.17399$ |
$[0, -1, 0, 9680, 1264000]$ |
\(y^2=x^3-x^2+9680x+1264000\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.q.1.2, 24.96.0-24.be.2.3, 40.96.0-40.bf.1.7, $\ldots$ |
$[]$ |
| 3120.l1 |
3120e2 |
3120.l |
3120e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.639413633$ |
$1$ |
|
$7$ |
$768$ |
$0.176619$ |
$434163602/7605$ |
$0.87463$ |
$3.41971$ |
$[0, -1, 0, -200, -1008]$ |
\(y^2=x^3-x^2-200x-1008\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(-8, 4)]$ |
| 3120.l2 |
3120e1 |
3120.l |
3120e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.278827266$ |
$1$ |
|
$5$ |
$384$ |
$-0.169955$ |
$-4/975$ |
$1.04093$ |
$2.64351$ |
$[0, -1, 0, 0, -48]$ |
\(y^2=x^3-x^2-48\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(8, 20)]$ |
| 3120.m1 |
3120d1 |
3120.m |
3120d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$0.234602$ |
$-504871936/394875$ |
$0.89480$ |
$3.28628$ |
$[0, -1, 0, -105, -603]$ |
\(y^2=x^3-x^2-105x-603\) |
390.2.0.? |
$[]$ |
| 3120.n1 |
3120t1 |
3120.n |
3120t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$-0.187438$ |
$-4096/195$ |
$0.83662$ |
$2.61728$ |
$[0, -1, 0, -5, 45]$ |
\(y^2=x^3-x^2-5x+45\) |
390.2.0.? |
$[]$ |
| 3120.o1 |
3120v2 |
3120.o |
3120v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{13} \cdot 3^{6} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.225607083$ |
$1$ |
|
$13$ |
$2304$ |
$0.594104$ |
$10779215329/1232010$ |
$1.08676$ |
$3.90508$ |
$[0, 1, 0, -736, 6644]$ |
\(y^2=x^3+x^2-736x+6644\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(2, 72)]$ |
| 3120.o2 |
3120v1 |
3120.o |
3120v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.451214167$ |
$1$ |
|
$9$ |
$1152$ |
$0.247530$ |
$6967871/35100$ |
$0.89079$ |
$3.24605$ |
$[0, 1, 0, 64, 564]$ |
\(y^2=x^3+x^2+64x+564\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(4, 30)]$ |
| 3120.p1 |
3120h3 |
3120.p |
3120h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.135611600$ |
$1$ |
|
$7$ |
$3072$ |
$0.867657$ |
$10625310339698/3855735$ |
$1.18546$ |
$4.67572$ |
$[0, 1, 0, -5816, -172620]$ |
\(y^2=x^3+x^2-5816x-172620\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(-44, 6)]$ |
| 3120.p2 |
3120h4 |
3120.p |
3120h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{12} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$0.283902900$ |
$1$ |
|
$11$ |
$3072$ |
$0.867657$ |
$1481943889298/34543665$ |
$0.95159$ |
$4.43087$ |
$[0, 1, 0, -3016, 61460]$ |
\(y^2=x^3+x^2-3016x+61460\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.2, 52.12.0-4.c.1.2, $\ldots$ |
$[(26, 36)]$ |
| 3120.p3 |
3120h2 |
3120.p |
3120h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$0.567805800$ |
$1$ |
|
$17$ |
$1536$ |
$0.521083$ |
$7793764996/3080025$ |
$0.92131$ |
$3.69247$ |
$[0, 1, 0, -416, -1980]$ |
\(y^2=x^3+x^2-416x-1980\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(-8, 30)]$ |
| 3120.p4 |
3120h1 |
3120.p |
3120h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.135611600$ |
$1$ |
|
$5$ |
$768$ |
$0.174510$ |
$253012016/219375$ |
$0.87387$ |
$3.09413$ |
$[0, 1, 0, 84, -180]$ |
\(y^2=x^3+x^2+84x-180\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.1, $\ldots$ |
$[(6, 24)]$ |
| 3120.q1 |
3120u3 |
3120.q |
3120u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1.510835705$ |
$1$ |
|
$5$ |
$3072$ |
$0.920179$ |
$12501706118329/2570490$ |
$0.96978$ |
$4.78208$ |
$[0, 1, 0, -7736, 259284]$ |
\(y^2=x^3+x^2-7736x+259284\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0-4.c.1.2, 40.24.0-40.v.1.2, $\ldots$ |
$[(52, 18)]$ |
| 3120.q2 |
3120u2 |
3120.q |
3120u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$0.755417852$ |
$1$ |
|
$13$ |
$1536$ |
$0.573606$ |
$4165509529/1368900$ |
$0.92273$ |
$3.78690$ |
$[0, 1, 0, -536, 2964]$ |
\(y^2=x^3+x^2-536x+2964\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.1, 40.24.0-40.a.1.2, 52.12.0-2.a.1.1, $\ldots$ |
$[(4, 30)]$ |
