| 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 |
| 5610.a2 |
5610c1 |
5610.a |
5610c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49920$ |
$1.817032$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.22669$ |
$[1, 1, 0, -22788, -7267632]$ |
\(y^2+xy=x^3+x^2-22788x-7267632\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 16830.cf2 |
16830cv1 |
16830.cf |
16830cv |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$0.157189567$ |
$1$ |
|
$17$ |
$399360$ |
$2.366337$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.31400$ |
$[1, -1, 1, -205097, 196020969]$ |
\(y^2+xy+y=x^3-x^2-205097x+196020969\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(-153, 15036)]$ |
| 28050.dj2 |
28050cz1 |
28050.dj |
28050cz |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 5^{11} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1.399060576$ |
$1$ |
|
$5$ |
$1198080$ |
$2.621750$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.34821$ |
$[1, 0, 0, -569713, -907314583]$ |
\(y^2+xy=x^3-569713x-907314583\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(50122, 11194939)]$ |
| 44880.cf2 |
44880cq1 |
44880.cf |
44880cq |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{38} \cdot 3 \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$12.59934713$ |
$1$ |
|
$1$ |
$1198080$ |
$2.510178$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$4.98856$ |
$[0, 1, 0, -364616, 464399220]$ |
\(y^2=x^3+x^2-364616x+464399220\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(-106599/28, 496464837/28)]$ |
| 61710.bt2 |
61710bp1 |
61710.bt |
61710bp |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 5^{5} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$3.419217077$ |
$1$ |
|
$5$ |
$5990400$ |
$3.015980$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.39480$ |
$[1, 1, 1, -2757411, 9659431233]$ |
\(y^2+xy+y=x^3+x^2-2757411x+9659431233\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(-621, 105822)]$ |
| 84150.cu2 |
84150cr1 |
84150.cu |
84150cr |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{11} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9584640$ |
$3.171055$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.41136$ |
$[1, -1, 0, -5127417, 24497493741]$ |
\(y^2+xy=x^3-x^2-5127417x+24497493741\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 95370.bq2 |
95370bs1 |
95370.bq |
95370bs |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{26} \cdot 3 \cdot 5^{5} \cdot 11^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14376960$ |
$3.233639$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.41778$ |
$[1, 0, 1, -6585883, -35659775194]$ |
\(y^2+xy+y=x^3-6585883x-35659775194\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 134640.fa2 |
134640bj1 |
134640.fa |
134640bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{38} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9584640$ |
$3.059483$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.08264$ |
$[0, 0, 0, -3281547, -12542060486]$ |
\(y^2=x^3-3281547x-12542060486\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 179520.dt2 |
179520dc1 |
179520.dt |
179520dc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{44} \cdot 3 \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9584640$ |
$2.856750$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$4.76069$ |
$[0, -1, 0, -1458465, 3716652225]$ |
\(y^2=x^3-x^2-1458465x+3716652225\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 179520.gs2 |
179520em1 |
179520.gs |
179520em |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{44} \cdot 3 \cdot 5^{5} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$8.838789616$ |
$1$ |
|
$1$ |
$9584640$ |
$2.856750$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$4.76069$ |
$[0, 1, 0, -1458465, -3716652225]$ |
\(y^2=x^3+x^2-1458465x-3716652225\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(78725/2, 22042185/2)]$ |
| 185130.cr2 |
185130do1 |
185130.cr |
185130do |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{5} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$12.25902820$ |
$1$ |
|
$1$ |
$47923200$ |
$3.565285$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.44962$ |
$[1, -1, 0, -24816699, -260829459995]$ |
\(y^2+xy=x^3-x^2-24816699x-260829459995\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(43840391/31, 287457091802/31)]$ |
| 224400.bo2 |
224400er1 |
224400.bo |
224400er |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{38} \cdot 3 \cdot 5^{11} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$5.160638779$ |
$1$ |
|
$5$ |
$28753920$ |
$3.314896$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.12068$ |
$[0, -1, 0, -9115408, 58068133312]$ |
\(y^2=x^3-x^2-9115408x+58068133312\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(-3798, 194650)]$ |
| 274890.cn2 |
274890cn1 |
274890.cn |
274890cn |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 5^{5} \cdot 7^{6} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17971200$ |
$2.789986$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$4.53476$ |
$[1, 0, 1, -1116638, 2489447888]$ |
\(y^2+xy+y=x^3-1116638x+2489447888\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 286110.ex2 |
286110ex1 |
286110.ex |
286110ex |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{26} \cdot 3^{7} \cdot 5^{5} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1.191883849$ |
$1$ |
|
$9$ |
$115015680$ |
$3.782944$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.46869$ |
$[1, -1, 1, -59272943, 962813930231]$ |
\(y^2+xy+y=x^3-x^2-59272943x+962813930231\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(-8589, 919846)]$ |
| 308550.dp2 |
308550dp1 |
308550.dp |
308550dp |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{26} \cdot 3 \cdot 5^{11} \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$143769600$ |
$3.820698$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.47187$ |
$[1, 0, 1, -68935276, 1207566774698]$ |
\(y^2+xy+y=x^3-68935276x+1207566774698\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
| 476850.gq2 |
476850gq1 |
476850.gq |
476850gq |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{26} \cdot 3 \cdot 5^{11} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$4.404884363$ |
$1$ |
|
$5$ |
$345047040$ |
$4.038353$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.48945$ |
$[1, 1, 1, -164647063, -4457471899219]$ |
\(y^2+xy+y=x^3+x^2-164647063x-4457471899219\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[(21355, 1318122)]$ |
| 493680.ef2 |
493680ef1 |
493680.ef |
493680ef |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{38} \cdot 3 \cdot 5^{5} \cdot 11^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2040$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$143769600$ |
$3.709126$ |
$-1308796492121439049/22000592486400000$ |
$1.00048$ |
$5.17356$ |
$[0, 1, 0, -44118576, -618291836076]$ |
\(y^2=x^3+x^2-44118576x-618291836076\) |
2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.? |
$[]$ |
