| 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 |
| 2652.f4 |
2652f4 |
2652.f |
2652f |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8640$ |
$1.508451$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.23467$ |
$[0, 1, 0, 19612, -137676]$ |
\(y^2=x^3+x^2+19612x-137676\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 52.6.0.c.1, 68.6.0.a.1, $\ldots$ |
$[]$ |
| 7956.b4 |
7956g4 |
7956.b |
7956g |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2652$ |
$96$ |
$1$ |
$3.364972482$ |
$1$ |
|
$9$ |
$69120$ |
$2.057758$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.32828$ |
$[0, 0, 0, 176505, 3893758]$ |
\(y^2=x^3+176505x+3893758\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 52.6.0.c.1, 68.6.0.a.1, $\ldots$ |
$[(303, 9230)]$ |
| 10608.j4 |
10608r4 |
10608.j |
10608r |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$4.660509673$ |
$1$ |
|
$3$ |
$34560$ |
$1.508451$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.45179$ |
$[0, -1, 0, 19612, 137676]$ |
\(y^2=x^3-x^2+19612x+137676\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 52.6.0.c.1, $\ldots$ |
$[(825, 24024)]$ |
| 31824.z4 |
31824bm4 |
31824.z |
31824bm |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$2.082386151$ |
$1$ |
|
$3$ |
$276480$ |
$2.057758$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.61584$ |
$[0, 0, 0, 176505, -3893758]$ |
\(y^2=x^3+176505x-3893758\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 52.6.0.c.1, $\ldots$ |
$[(74, 3094)]$ |
| 34476.p4 |
34476k4 |
34476.p |
34476k |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{12} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$7.983871397$ |
$1$ |
|
$1$ |
$1451520$ |
$2.790928$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.42255$ |
$[0, 1, 0, 3314372, -315731740]$ |
\(y^2=x^3+x^2+3314372x-315731740\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 39.8.0-3.a.1.2, $\ldots$ |
$[(28363/3, 5496218/3)]$ |
| 42432.g4 |
42432a4 |
42432.g |
42432a |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$7.494890819$ |
$1$ |
|
$1$ |
$276480$ |
$1.855026$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.26291$ |
$[0, -1, 0, 78447, -1179855]$ |
\(y^2=x^3-x^2+78447x-1179855\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 52.6.0.c.1, $\ldots$ |
$[(4821/2, 343413/2)]$ |
| 42432.cb4 |
42432cd4 |
42432.cb |
42432cd |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$4.681564288$ |
$1$ |
|
$3$ |
$276480$ |
$1.855026$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.26291$ |
$[0, 1, 0, 78447, 1179855]$ |
\(y^2=x^3+x^2+78447x+1179855\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 52.6.0.c.1, $\ldots$ |
$[(227, 5544)]$ |
| 45084.f4 |
45084h4 |
45084.f |
45084h |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$13.23879639$ |
$1$ |
|
$1$ |
$2488320$ |
$2.925060$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.43701$ |
$[0, -1, 0, 5667772, -710409000]$ |
\(y^2=x^3-x^2+5667772x-710409000\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 51.8.0-3.a.1.1, $\ldots$ |
$[(1338449/16, 1697804199/16)]$ |
| 66300.t4 |
66300f4 |
66300.t |
66300f |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$13260$ |
$96$ |
$1$ |
$2.703571858$ |
$1$ |
|
$3$ |
$1244160$ |
$2.313171$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.58675$ |
$[0, -1, 0, 490292, -18190088]$ |
\(y^2=x^3-x^2+490292x-18190088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[(118, 6426)]$ |
| 103428.s4 |
103428r4 |
103428.s |
103428r |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 13^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$11612160$ |
$3.340233$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.47749$ |
$[0, 0, 0, 29829345, 8554586326]$ |
\(y^2=x^3+29829345x+8554586326\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 127296.bp4 |
127296n4 |
127296.bp |
127296n |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$3.082267030$ |
$1$ |
|
$3$ |
$2211840$ |
$2.404331$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.42527$ |
$[0, 0, 0, 706020, 31150064]$ |
\(y^2=x^3+706020x+31150064\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 52.6.0.c.1, $\ldots$ |
$[(685, 28917)]$ |
| 127296.cp4 |
127296cm4 |
127296.cp |
127296cm |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( - 2^{14} \cdot 3^{10} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.404331$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.42527$ |
$[0, 0, 0, 706020, -31150064]$ |
\(y^2=x^3+706020x-31150064\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 52.6.0.c.1, $\ldots$ |
$[]$ |
| 129948.l4 |
129948h4 |
129948.l |
129948h |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{6} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18564$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2488320$ |
$2.481407$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.49607$ |
$[0, -1, 0, 960972, 49144824]$ |
\(y^2=x^3-x^2+960972x+49144824\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 135252.o4 |
135252l4 |
135252.o |
135252l |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19906560$ |
$3.474365$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.48936$ |
$[0, 0, 0, 51009945, 19130033054]$ |
\(y^2=x^3+51009945x+19130033054\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 137904.o4 |
137904bh4 |
137904.o |
137904bh |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5806080$ |
$2.790928$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.78734$ |
$[0, -1, 0, 3314372, 315731740]$ |
\(y^2=x^3-x^2+3314372x+315731740\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 52.6.0.c.1, $\ldots$ |
$[]$ |
| 180336.cj4 |
180336k4 |
180336.cj |
180336k |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9953280$ |
$2.925060$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.81422$ |
$[0, 1, 0, 5667772, 710409000]$ |
\(y^2=x^3+x^2+5667772x+710409000\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 52.6.0.c.1, 68.6.0.a.1, $\ldots$ |
$[]$ |
| 198900.cn4 |
198900cc4 |
198900.cn |
198900cc |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$13260$ |
$96$ |
$1$ |
$27.77654135$ |
$1$ |
|
$1$ |
$9953280$ |
$2.862476$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.71401$ |
$[0, 0, 0, 4412625, 486719750]$ |
\(y^2=x^3+4412625x+486719750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[(9562572040921/28106, 30016648170976079781/28106)]$ |
| 265200.eb4 |
265200eb4 |
265200.eb |
265200eb |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$13260$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4976640$ |
$2.313171$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.07759$ |
$[0, 1, 0, 490292, 18190088]$ |
\(y^2=x^3+x^2+490292x+18190088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 52.6.0.c.1, 60.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 320892.x4 |
320892x4 |
320892.x |
320892x |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{6} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$1.831142970$ |
$1$ |
|
$3$ |
$12441600$ |
$2.707401$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.38940$ |
$[0, 1, 0, 2373012, 192738852]$ |
\(y^2=x^3+x^2+2373012x+192738852\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 33.8.0-3.a.1.1, 52.6.0.c.1, $\ldots$ |
$[(1536, 86394)]$ |
| 389844.bt4 |
389844bt4 |
389844.bt |
389844bt |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{6} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$18564$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19906560$ |
$3.030712$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.62441$ |
$[0, 0, 0, 8648745, -1335558994]$ |
\(y^2=x^3+8648745x-1335558994\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.1, 42.24.0-6.a.1.3, $\ldots$ |
$[]$ |
| 413712.ci4 |
413712ci4 |
413712.ci |
413712ci |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 13^{12} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2652$ |
$96$ |
$1$ |
$24.11907319$ |
$1$ |
|
$3$ |
$46448640$ |
$3.340233$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$4.89036$ |
$[0, 0, 0, 29829345, -8554586326]$ |
\(y^2=x^3+29829345x-8554586326\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 52.6.0.c.1, $\ldots$ |
$[(4498, 465426), (3200782/3, 5727107152/3)]$ |
