| 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 |
| 5304.a1 |
5304i2 |
5304.a |
5304i |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$0.275239678$ |
$1$ |
|
$11$ |
$2048$ |
$0.338829$ |
$238481570896/25857$ |
$0.93322$ |
$3.70125$ |
$[0, -1, 0, -820, 9316]$ |
\(y^2=x^3-x^2-820x+9316\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(4, 78)]$ |
| 10608.m1 |
10608i2 |
10608.m |
10608i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.116943349$ |
$1$ |
|
$3$ |
$4096$ |
$0.338829$ |
$238481570896/25857$ |
$0.93322$ |
$3.42448$ |
$[0, 1, 0, -820, -9316]$ |
\(y^2=x^3+x^2-820x-9316\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(35, 78)]$ |
| 15912.q1 |
15912d2 |
15912.q |
15912d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16384$ |
$0.888135$ |
$238481570896/25857$ |
$0.93322$ |
$3.96228$ |
$[0, 0, 0, -7383, -244150]$ |
\(y^2=x^3-7383x-244150\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 31824.bk1 |
31824h2 |
31824.bk |
31824h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.888135$ |
$238481570896/25857$ |
$0.93322$ |
$3.69739$ |
$[0, 0, 0, -7383, 244150]$ |
\(y^2=x^3-7383x+244150\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 42432.bf1 |
42432cb2 |
42432.bf |
42432cb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.685403$ |
$238481570896/25857$ |
$0.93322$ |
$3.36925$ |
$[0, -1, 0, -3281, -71247]$ |
\(y^2=x^3-x^2-3281x-71247\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 42432.cr1 |
42432bh2 |
42432.cr |
42432bh |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.685403$ |
$238481570896/25857$ |
$0.93322$ |
$3.36925$ |
$[0, 1, 0, -3281, 71247]$ |
\(y^2=x^3+x^2-3281x+71247\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 68952.s1 |
68952k2 |
68952.s |
68952k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.621304$ |
$238481570896/25857$ |
$0.93322$ |
$4.23048$ |
$[0, -1, 0, -138636, 19912788]$ |
\(y^2=x^3-x^2-138636x+19912788\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 90168.bf1 |
90168bb2 |
90168.bf |
90168bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.282520348$ |
$1$ |
|
$3$ |
$589824$ |
$1.755436$ |
$238481570896/25857$ |
$0.93322$ |
$4.27208$ |
$[0, 1, 0, -237076, 44347232]$ |
\(y^2=x^3+x^2-237076x+44347232\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-142, 8670)]$ |
| 127296.e1 |
127296di2 |
127296.e |
127296di |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.474225874$ |
$1$ |
|
$17$ |
$262144$ |
$1.234709$ |
$238481570896/25857$ |
$0.93322$ |
$3.61514$ |
$[0, 0, 0, -29532, 1953200]$ |
\(y^2=x^3-29532x+1953200\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(74, 416), (98, 16)]$ |
| 127296.f1 |
127296bg2 |
127296.f |
127296bg |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.072555508$ |
$1$ |
|
$5$ |
$262144$ |
$1.234709$ |
$238481570896/25857$ |
$0.93322$ |
$3.61514$ |
$[0, 0, 0, -29532, -1953200]$ |
\(y^2=x^3-29532x-1953200\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-99, 13)]$ |
| 132600.bo1 |
132600bj2 |
132600.bo |
132600bj |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.806526650$ |
$1$ |
|
$5$ |
$163840$ |
$1.143549$ |
$238481570896/25857$ |
$0.93322$ |
$3.50988$ |
$[0, 1, 0, -20508, 1123488]$ |
\(y^2=x^3+x^2-20508x+1123488\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(84, 24)]$ |
| 137904.de1 |
137904ct2 |
137904.de |
137904ct |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$13.79182023$ |
$1$ |
|
$1$ |
$688128$ |
$1.621304$ |
$238481570896/25857$ |
$0.93322$ |
$3.98269$ |
$[0, 1, 0, -138636, -19912788]$ |
\(y^2=x^3+x^2-138636x-19912788\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-7817571/190, 200199117/190)]$ |
| 180336.br1 |
180336de2 |
180336.br |
180336de |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$5.569059577$ |
$1$ |
|
$1$ |
$1179648$ |
$1.755436$ |
$238481570896/25857$ |
$0.93322$ |
$4.02741$ |
$[0, -1, 0, -237076, -44347232]$ |
\(y^2=x^3-x^2-237076x-44347232\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(49501/5, 10639824/5)]$ |
| 206856.a1 |
206856a2 |
206856.a |
206856a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.151951458$ |
$1$ |
|
$5$ |
$2752512$ |
$2.170609$ |
$238481570896/25857$ |
$0.93322$ |
$4.38930$ |
$[0, 0, 0, -1247727, -536397550]$ |
\(y^2=x^3-1247727x-536397550\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-641, 144)]$ |
| 259896.cs1 |
259896cs2 |
259896.cs |
259896cs |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$5.204749844$ |
$1$ |
|
$3$ |
$737280$ |
$1.311785$ |
$238481570896/25857$ |
$0.93322$ |
$3.48236$ |
$[0, 1, 0, -40196, -3115008]$ |
\(y^2=x^3+x^2-40196x-3115008\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(15808, 1987440)]$ |
| 265200.cu1 |
265200cu2 |
265200.cu |
265200cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.143549$ |
$238481570896/25857$ |
$0.93322$ |
$3.31507$ |
$[0, -1, 0, -20508, -1123488]$ |
\(y^2=x^3-x^2-20508x-1123488\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 270504.b1 |
270504b2 |
270504.b |
270504b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$18.85728395$ |
$1$ |
|
$9$ |
$4718592$ |
$2.304741$ |
$238481570896/25857$ |
$0.93322$ |
$4.42385$ |
$[0, 0, 0, -2133687, -1199508950]$ |
\(y^2=x^3-2133687x-1199508950\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-837, 104), (1698, 8554)]$ |
| 397800.bn1 |
397800bn2 |
397800.bn |
397800bn |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$4.276696367$ |
$1$ |
|
$3$ |
$1310720$ |
$1.692854$ |
$238481570896/25857$ |
$0.93322$ |
$3.72205$ |
$[0, 0, 0, -184575, -30518750]$ |
\(y^2=x^3-184575x-30518750\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(1050, 30550)]$ |
| 413712.h1 |
413712h2 |
413712.h |
413712h |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5505024$ |
$2.170609$ |
$238481570896/25857$ |
$0.93322$ |
$4.15406$ |
$[0, 0, 0, -1247727, 536397550]$ |
\(y^2=x^3-1247727x+536397550\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
