| 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 |
| 1586.c2 |
1586d1 |
1586.c |
1586d |
$2$ |
$5$ |
\( 2 \cdot 13 \cdot 61 \) |
\( - 2^{25} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$9400$ |
$1.877352$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$6.21854$ |
$[1, 1, 1, 16005, 10336393]$ |
\(y^2+xy+y=x^3+x^2+16005x+10336393\) |
5.24.0-5.a.1.2, 104.2.0.?, 520.48.1.? |
$[]$ |
| 12688.f2 |
12688g1 |
12688.f |
12688g |
$2$ |
$5$ |
\( 2^{4} \cdot 13 \cdot 61 \) |
\( - 2^{37} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$225600$ |
$2.570499$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.73027$ |
$[0, 1, 0, 256080, -661017004]$ |
\(y^2=x^3+x^2+256080x-661017004\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 104.2.0.?, 520.48.1.? |
$[]$ |
| 14274.e2 |
14274k1 |
14274.e |
14274k |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 61 \) |
\( - 2^{25} \cdot 3^{6} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$282000$ |
$2.426659$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.47928$ |
$[1, -1, 0, 144045, -278938571]$ |
\(y^2+xy=x^3-x^2+144045x-278938571\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 104.2.0.?, 520.24.1.?, 1560.48.1.? |
$[]$ |
| 20618.b2 |
20618e1 |
20618.b |
20618e |
$2$ |
$5$ |
\( 2 \cdot 13^{2} \cdot 61 \) |
\( - 2^{25} \cdot 13^{11} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1579200$ |
$3.159828$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$6.16211$ |
$[1, 1, 0, 2704842, 22695531604]$ |
\(y^2+xy=x^3+x^2+2704842x+22695531604\) |
5.12.0.a.1, 40.24.0-5.a.1.5, 65.24.0-5.a.1.1, 104.2.0.?, 520.48.1.? |
$[]$ |
| 39650.e2 |
39650a1 |
39650.e |
39650a |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 13 \cdot 61 \) |
\( - 2^{25} \cdot 5^{6} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1316000$ |
$2.682072$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.24005$ |
$[1, 0, 1, 400124, 1291248898]$ |
\(y^2+xy+y=x^3+400124x+1291248898\) |
5.24.0-5.a.1.1, 104.2.0.?, 520.48.1.? |
$[]$ |
| 50752.c2 |
50752h1 |
50752.c |
50752h |
$2$ |
$5$ |
\( 2^{6} \cdot 13 \cdot 61 \) |
\( - 2^{43} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1804800$ |
$2.917072$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.38094$ |
$[0, -1, 0, 1024319, -5289160351]$ |
\(y^2=x^3-x^2+1024319x-5289160351\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 104.2.0.?, 130.24.0.?, 520.48.1.? |
$[]$ |
| 50752.m2 |
50752a1 |
50752.m |
50752a |
$2$ |
$5$ |
\( 2^{6} \cdot 13 \cdot 61 \) |
\( - 2^{43} \cdot 13^{5} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$17.85101794$ |
$1$ |
|
$0$ |
$1804800$ |
$2.917072$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.38094$ |
$[0, 1, 0, 1024319, 5289160351]$ |
\(y^2=x^3+x^2+1024319x+5289160351\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 104.2.0.?, 260.24.0.?, 520.48.1.? |
$[(44686050/397, 4683392895127/397)]$ |
| 77714.m2 |
77714j1 |
77714.m |
77714j |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 13 \cdot 61 \) |
\( - 2^{25} \cdot 7^{6} \cdot 13^{5} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3640$ |
$48$ |
$1$ |
$3.366519843$ |
$1$ |
|
$2$ |
$3102000$ |
$2.850307$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.10618$ |
$[1, 0, 0, 784244, -3543030128]$ |
\(y^2+xy=x^3+784244x-3543030128\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 104.2.0.?, 520.24.1.?, 3640.48.1.? |
$[(8856, 831028)]$ |
| 96746.c2 |
96746e1 |
96746.c |
96746e |
$2$ |
$5$ |
\( 2 \cdot 13 \cdot 61^{2} \) |
\( - 2^{25} \cdot 13^{5} \cdot 61^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$31720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$34968000$ |
$3.932789$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$6.14028$ |
$[1, 1, 0, 59554528, 2344675996672]$ |
\(y^2+xy=x^3+x^2+59554528x+2344675996672\) |
5.12.0.a.1, 104.2.0.?, 305.24.0.?, 520.24.1.?, 31720.48.1.? |
$[]$ |
| 114192.v2 |
114192ca1 |
114192.v |
114192ca |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 61 \) |
\( - 2^{37} \cdot 3^{6} \cdot 13^{5} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1560$ |
$48$ |
$1$ |
$1.719463507$ |
$1$ |
|
$0$ |
$6768000$ |
$3.119804$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.21514$ |
$[0, 0, 0, 2304717, 17849763826]$ |
\(y^2=x^3+2304717x+17849763826\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 104.2.0.?, 520.24.1.?, 1560.48.1.? |
$[(86449/3, 25985024/3)]$ |
| 164944.v2 |
164944p1 |
164944.v |
164944p |
$2$ |
$5$ |
\( 2^{4} \cdot 13^{2} \cdot 61 \) |
\( - 2^{37} \cdot 13^{11} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$23.55993755$ |
$1$ |
|
$0$ |
$37900800$ |
$3.852974$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.78786$ |
$[0, 1, 0, 43277464, -1452427467724]$ |
\(y^2=x^3+x^2+43277464x-1452427467724\) |
5.12.0.a.1, 40.24.0-5.a.1.7, 104.2.0.?, 260.24.0.?, 520.48.1.? |
$[(491129395546750/71517, 10900793773540273061888/71517)]$ |
| 185562.bj2 |
185562m1 |
185562.bj |
185562m |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 61 \) |
\( - 2^{25} \cdot 3^{6} \cdot 13^{11} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$47376000$ |
$3.709133$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.58938$ |
$[1, -1, 1, 24343573, -612755009733]$ |
\(y^2+xy+y=x^3-x^2+24343573x-612755009733\) |
5.12.0.a.1, 104.2.0.?, 120.24.0.?, 195.24.0.?, 520.24.1.?, $\ldots$ |
$[]$ |
| 191906.a2 |
191906e1 |
191906.a |
191906e |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 13 \cdot 61 \) |
\( - 2^{25} \cdot 11^{6} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5720$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13160000$ |
$3.076298$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$4.94967$ |
$[1, 1, 0, 1936603, -13748056307]$ |
\(y^2+xy=x^3+x^2+1936603x-13748056307\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 104.2.0.?, 520.24.1.?, 5720.48.1.? |
$[]$ |
| 317200.j2 |
317200j1 |
317200.j |
317200j |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 13 \cdot 61 \) |
\( - 2^{37} \cdot 5^{6} \cdot 13^{5} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$520$ |
$48$ |
$1$ |
$21.34678825$ |
$1$ |
|
$0$ |
$31584000$ |
$3.375217$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$5.03649$ |
$[0, -1, 0, 6401992, -82639929488]$ |
\(y^2=x^3-x^2+6401992x-82639929488\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 104.2.0.?, 520.48.1.? |
$[(2916352329404/22025, 4445175280743841792/22025)]$ |
| 356850.bs2 |
356850bs1 |
356850.bs |
356850bs |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 61 \) |
\( - 2^{25} \cdot 3^{6} \cdot 5^{6} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$39480000$ |
$3.231377$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$4.85508$ |
$[1, -1, 1, 3601120, -34863720253]$ |
\(y^2+xy+y=x^3-x^2+3601120x-34863720253\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 104.2.0.?, 520.24.1.?, 1560.48.1.? |
$[]$ |
| 456768.da2 |
456768da1 |
456768.da |
456768da |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 61 \) |
\( - 2^{43} \cdot 3^{6} \cdot 13^{5} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1560$ |
$48$ |
$1$ |
$29.71373406$ |
$1$ |
|
$0$ |
$54144000$ |
$3.466377$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$4.97950$ |
$[0, 0, 0, 9218868, 142798110608]$ |
\(y^2=x^3+9218868x+142798110608\) |
5.12.0.a.1, 104.2.0.?, 120.24.0.?, 390.24.0.?, 520.24.1.?, $\ldots$ |
$[(117394873345628/47999, 1274901911851989663808/47999)]$ |
| 456768.dl2 |
456768dl1 |
456768.dl |
456768dl |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 61 \) |
\( - 2^{43} \cdot 3^{6} \cdot 13^{5} \cdot 61^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1560$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$54144000$ |
$3.466377$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$4.97950$ |
$[0, 0, 0, 9218868, -142798110608]$ |
\(y^2=x^3+9218868x-142798110608\) |
5.12.0.a.1, 104.2.0.?, 120.24.0.?, 520.24.1.?, 780.24.0.?, $\ldots$ |
$[]$ |
| 458354.bd2 |
458354bd1 |
458354.bd |
458354bd |
$2$ |
$5$ |
\( 2 \cdot 13 \cdot 17^{2} \cdot 61 \) |
\( - 2^{25} \cdot 13^{5} \cdot 17^{6} \cdot 61^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8840$ |
$48$ |
$1$ |
$0.578426161$ |
$1$ |
|
$4$ |
$47376000$ |
$3.293957$ |
$453407867428435919/46358174206263296$ |
$1.01999$ |
$4.81945$ |
$[1, 0, 0, 4625439, 50750321609]$ |
\(y^2+xy=x^3+4625439x+50750321609\) |
5.12.0.a.1, 85.24.0.?, 104.2.0.?, 520.24.1.?, 8840.48.1.? |
$[(-1430, 203723)]$ |
