| 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 |
| 3720.g1 |
3720g4 |
3720.g |
3720g |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.845612$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.62403$ |
$[0, 1, 0, -6640, 206048]$ |
\(y^2=x^3+x^2-6640x+206048\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.5, 124.12.0.?, $\ldots$ |
$[]$ |
| 7440.i1 |
7440d3 |
7440.i |
7440d |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1240$ |
$48$ |
$0$ |
$3.582634056$ |
$1$ |
|
$3$ |
$6144$ |
$0.845612$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.26449$ |
$[0, -1, 0, -6640, -206048]$ |
\(y^2=x^3-x^2-6640x-206048\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 124.12.0.?, $\ldots$ |
$[(277, 4374)]$ |
| 11160.d1 |
11160c3 |
11160.d |
11160c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$24576$ |
$1.394917$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.78622$ |
$[0, 0, 0, -59763, -5623058]$ |
\(y^2=x^3-59763x-5623058\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 18600.j1 |
18600a4 |
18600.j |
18600a |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1240$ |
$48$ |
$0$ |
$6.712191176$ |
$1$ |
|
$3$ |
$73728$ |
$1.650330$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.84929$ |
$[0, -1, 0, -166008, 26088012]$ |
\(y^2=x^3-x^2-166008x+26088012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.14, 248.24.0.?, $\ldots$ |
$[(913, 25194)]$ |
| 22320.m1 |
22320g4 |
22320.m |
22320g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$2.723062285$ |
$1$ |
|
$5$ |
$49152$ |
$1.394917$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.45491$ |
$[0, 0, 0, -59763, 5623058]$ |
\(y^2=x^3-59763x+5623058\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(143, 34)]$ |
| 29760.m1 |
29760a4 |
29760.m |
29760a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1240$ |
$48$ |
$0$ |
$4.525013200$ |
$1$ |
|
$3$ |
$49152$ |
$1.192184$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.09432$ |
$[0, -1, 0, -26561, 1674945]$ |
\(y^2=x^3-x^2-26561x+1674945\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 20.12.0-4.c.1.2, 40.24.0-40.bb.1.9, $\ldots$ |
$[(144, 903)]$ |
| 29760.bz1 |
29760cj4 |
29760.bz |
29760cj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{8} \cdot 5 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.192184$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.09432$ |
$[0, 1, 0, -26561, -1674945]$ |
\(y^2=x^3+x^2-26561x-1674945\) |
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, $\ldots$ |
$[]$ |
| 37200.cx1 |
37200u4 |
37200.cx |
37200u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1240$ |
$48$ |
$0$ |
$3.699333972$ |
$1$ |
|
$3$ |
$147456$ |
$1.650330$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.52990$ |
$[0, 1, 0, -166008, -26088012]$ |
\(y^2=x^3+x^2-166008x-26088012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.6, 248.24.0.?, $\ldots$ |
$[(492, 3402)]$ |
| 55800.bd1 |
55800bn4 |
55800.bd |
55800bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$13.04146453$ |
$1$ |
|
$1$ |
$589824$ |
$2.199635$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.96496$ |
$[0, 0, 0, -1494075, -702882250]$ |
\(y^2=x^3-1494075x-702882250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(1537210/33, 31410800/33)]$ |
| 89280.em1 |
89280by4 |
89280.em |
89280by |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{14} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$7.803492380$ |
$1$ |
|
$3$ |
$393216$ |
$1.741491$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.27797$ |
$[0, 0, 0, -239052, -44984464]$ |
\(y^2=x^3-239052x-44984464\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(4616, 311780)]$ |
| 89280.en1 |
89280fn4 |
89280.en |
89280fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 31 \) |
\( 2^{17} \cdot 3^{14} \cdot 5 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$6.663198599$ |
$1$ |
|
$1$ |
$393216$ |
$1.741491$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.27797$ |
$[0, 0, 0, -239052, 44984464]$ |
\(y^2=x^3-239052x+44984464\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(7164/5, 14288/5)]$ |
| 111600.ec1 |
111600be4 |
111600.ec |
111600be |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1.246197068$ |
$1$ |
|
$7$ |
$1179648$ |
$2.199635$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.66886$ |
$[0, 0, 0, -1494075, 702882250]$ |
\(y^2=x^3-1494075x+702882250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(695, 450)]$ |
| 115320.k1 |
115320p4 |
115320.k |
115320p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2949120$ |
$2.562607$ |
$15811147933922/1016955$ |
$0.94031$ |
$5.02942$ |
$[0, -1, 0, -6381360, -6202188468]$ |
\(y^2=x^3-x^2-6381360x-6202188468\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 248.24.0.?, 1240.48.0.? |
$[]$ |
| 148800.cq1 |
148800ew4 |
148800.cq |
148800ew |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{17} \cdot 3^{8} \cdot 5^{7} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1240$ |
$48$ |
$0$ |
$7.579382838$ |
$1$ |
|
$1$ |
$1179648$ |
$1.996904$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.35183$ |
$[0, -1, 0, -664033, -208040063]$ |
\(y^2=x^3-x^2-664033x-208040063\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 248.24.0.?, 1240.48.0.? |
$[(15343/3, 1622600/3)]$ |
| 148800.io1 |
148800hq3 |
148800.io |
148800hq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 31 \) |
\( 2^{17} \cdot 3^{8} \cdot 5^{7} \cdot 31 \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1240$ |
$48$ |
$0$ |
$4.294347637$ |
$1$ |
|
$25$ |
$1179648$ |
$1.996904$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.35183$ |
$[0, 1, 0, -664033, 208040063]$ |
\(y^2=x^3+x^2-664033x+208040063\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.2, 248.24.0.?, 1240.48.0.? |
$[(467, 48), (509, 1476)]$ |
| 182280.b1 |
182280w4 |
182280.b |
182280w |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 31 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8680$ |
$48$ |
$0$ |
$27.65672892$ |
$1$ |
|
$5$ |
$1179648$ |
$1.818567$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.10225$ |
$[0, -1, 0, -325376, -71325204]$ |
\(y^2=x^3-x^2-325376x-71325204\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 248.12.0.?, $\ldots$ |
$[(-327, 6), (7769, 682830)]$ |
| 230640.db1 |
230640db3 |
230640.db |
230640db |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 31^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5898240$ |
$2.562607$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.74711$ |
$[0, 1, 0, -6381360, 6202188468]$ |
\(y^2=x^3+x^2-6381360x+6202188468\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 248.24.0.?, 1240.48.0.? |
$[]$ |
| 345960.o1 |
345960o3 |
345960.o |
345960o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 31^{2} \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$31.96650649$ |
$1$ |
|
$1$ |
$23592960$ |
$3.111912$ |
$15811147933922/1016955$ |
$0.94031$ |
$5.11303$ |
$[0, 0, 0, -57432243, 167516520878]$ |
\(y^2=x^3-57432243x+167516520878\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(290209595388166/253275, 273816329767309112714/253275)]$ |
| 364560.ec1 |
364560ec3 |
364560.ec |
364560ec |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8680$ |
$48$ |
$0$ |
$0.537323446$ |
$1$ |
|
$9$ |
$2359296$ |
$1.818567$ |
$15811147933922/1016955$ |
$0.94031$ |
$3.88022$ |
$[0, 1, 0, -325376, 71325204]$ |
\(y^2=x^3+x^2-325376x+71325204\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, 248.12.0.?, $\ldots$ |
$[(310, 588)]$ |
| 446400.jw1 |
446400jw4 |
446400.jw |
446400jw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{17} \cdot 3^{14} \cdot 5^{7} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$9437184$ |
$2.546211$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.49102$ |
$[0, 0, 0, -5976300, -5623058000]$ |
\(y^2=x^3-5976300x-5623058000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 446400.jx1 |
446400jx3 |
446400.jx |
446400jx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{17} \cdot 3^{14} \cdot 5^{7} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9437184$ |
$2.546211$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.49102$ |
$[0, 0, 0, -5976300, 5623058000]$ |
\(y^2=x^3-5976300x+5623058000\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 450120.cz1 |
450120cz4 |
450120.cz |
450120cz |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 31 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 11^{6} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$2.044559$ |
$15811147933922/1016955$ |
$0.94031$ |
$4.02571$ |
$[0, 1, 0, -803480, -277463760]$ |
\(y^2=x^3+x^2-803480x-277463760\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.bb.1, 88.12.0.?, 248.12.0.?, $\ldots$ |
$[]$ |
