| 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 |
| 11424.j1 |
11424c3 |
11424.j |
11424c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.400715$ |
$444893916104/9639$ |
$0.90999$ |
$3.53824$ |
$[0, -1, 0, -1272, 17892]$ |
\(y^2=x^3-x^2-1272x+17892\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 11424.s1 |
11424r2 |
11424.s |
11424r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$7.454368907$ |
$1$ |
|
$1$ |
$3584$ |
$0.400715$ |
$444893916104/9639$ |
$0.90999$ |
$3.53824$ |
$[0, 1, 0, -1272, -17892]$ |
\(y^2=x^3+x^2-1272x-17892\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(4659/5, 312552/5)]$ |
| 22848.h1 |
22848b4 |
22848.h |
22848b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$3.177042330$ |
$1$ |
|
$3$ |
$14336$ |
$0.747289$ |
$444893916104/9639$ |
$0.90999$ |
$3.70825$ |
$[0, -1, 0, -5089, -138047]$ |
\(y^2=x^3-x^2-5089x-138047\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.2, 136.12.0.?, $\ldots$ |
$[(103, 648)]$ |
| 22848.bv1 |
22848bh4 |
22848.bv |
22848bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$0.885409036$ |
$1$ |
|
$7$ |
$14336$ |
$0.747289$ |
$444893916104/9639$ |
$0.90999$ |
$3.70825$ |
$[0, 1, 0, -5089, 138047]$ |
\(y^2=x^3+x^2-5089x+138047\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(43, 24)]$ |
| 34272.h1 |
34272n4 |
34272.h |
34272n |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{10} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$2.959835603$ |
$1$ |
|
$3$ |
$28672$ |
$0.950021$ |
$444893916104/9639$ |
$0.90999$ |
$3.79724$ |
$[0, 0, 0, -11451, 471634]$ |
\(y^2=x^3-11451x+471634\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 204.12.0.?, $\ldots$ |
$[(66, 58)]$ |
| 34272.k1 |
34272bm4 |
34272.k |
34272bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{10} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$5.415669016$ |
$1$ |
|
$1$ |
$28672$ |
$0.950021$ |
$444893916104/9639$ |
$0.90999$ |
$3.79724$ |
$[0, 0, 0, -11451, -471634]$ |
\(y^2=x^3-11451x-471634\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 204.12.0.?, $\ldots$ |
$[(1777/2, 72495/2)]$ |
| 68544.dq1 |
68544bl4 |
68544.dq |
68544bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{10} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2856$ |
$48$ |
$0$ |
$4.365597619$ |
$1$ |
|
$3$ |
$114688$ |
$1.296595$ |
$444893916104/9639$ |
$0.90999$ |
$3.93436$ |
$[0, 0, 0, -45804, 3773072]$ |
\(y^2=x^3-45804x+3773072\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(224, 2180)]$ |
| 68544.eh1 |
68544cl4 |
68544.eh |
68544cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{15} \cdot 3^{10} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$114688$ |
$1.296595$ |
$444893916104/9639$ |
$0.90999$ |
$3.93436$ |
$[0, 0, 0, -45804, -3773072]$ |
\(y^2=x^3-45804x-3773072\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 79968.i1 |
79968bw4 |
79968.i |
79968bw |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.373671$ |
$444893916104/9639$ |
$0.90999$ |
$3.96256$ |
$[0, -1, 0, -62344, 6012280]$ |
\(y^2=x^3-x^2-62344x+6012280\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 79968.bu1 |
79968bd4 |
79968.bu |
79968bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.373671$ |
$444893916104/9639$ |
$0.90999$ |
$3.96256$ |
$[0, 1, 0, -62344, -6012280]$ |
\(y^2=x^3+x^2-62344x-6012280\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 159936.dz1 |
159936jz4 |
159936.dz |
159936jz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$2.176932336$ |
$4$ |
$2$ |
$7$ |
$688128$ |
$1.720243$ |
$444893916104/9639$ |
$0.90999$ |
$4.08042$ |
$[0, -1, 0, -249377, -47848863]$ |
\(y^2=x^3-x^2-249377x-47848863\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 408.24.0.?, 952.24.0.?, $\ldots$ |
$[(-287, 8)]$ |
| 159936.jn1 |
159936hf3 |
159936.jn |
159936hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{4} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$688128$ |
$1.720243$ |
$444893916104/9639$ |
$0.90999$ |
$4.08042$ |
$[0, 1, 0, -249377, 47848863]$ |
\(y^2=x^3+x^2-249377x+47848863\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 408.24.0.?, 952.24.0.?, $\ldots$ |
$[]$ |
| 194208.i1 |
194208u4 |
194208.i |
194208u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$8.901556350$ |
$1$ |
|
$1$ |
$1032192$ |
$1.817322$ |
$444893916104/9639$ |
$0.90999$ |
$4.11103$ |
$[0, -1, 0, -367704, -85697352]$ |
\(y^2=x^3-x^2-367704x-85697352\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 408.24.0.?, 952.24.0.?, $\ldots$ |
$[(-50519/12, 35405/12)]$ |
| 194208.bn1 |
194208bl2 |
194208.bn |
194208bl |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1032192$ |
$1.817322$ |
$444893916104/9639$ |
$0.90999$ |
$4.11103$ |
$[0, 1, 0, -367704, 85697352]$ |
\(y^2=x^3+x^2-367704x+85697352\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 408.24.0.?, 952.24.0.?, $\ldots$ |
$[]$ |
| 239904.de1 |
239904de2 |
239904.de |
239904de |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{10} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$1.922976$ |
$444893916104/9639$ |
$0.90999$ |
$4.14325$ |
$[0, 0, 0, -561099, 161770462]$ |
\(y^2=x^3-561099x+161770462\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 56.12.0-4.c.1.5, 136.12.0.?, $\ldots$ |
$[]$ |
| 239904.df1 |
239904df4 |
239904.df |
239904df |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{9} \cdot 3^{10} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$15.16074343$ |
$1$ |
|
$1$ |
$1376256$ |
$1.922976$ |
$444893916104/9639$ |
$0.90999$ |
$4.14325$ |
$[0, 0, 0, -561099, -161770462]$ |
\(y^2=x^3-561099x-161770462\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 56.12.0-4.c.1.5, 136.12.0.?, $\ldots$ |
$[(-26293006/247, 148894810/247)]$ |
| 285600.cr1 |
285600cr4 |
285600.cr |
285600cr |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$4.681007243$ |
$4$ |
$2$ |
$3$ |
$458752$ |
$1.205435$ |
$444893916104/9639$ |
$0.90999$ |
$3.40032$ |
$[0, -1, 0, -31808, -2172888]$ |
\(y^2=x^3-x^2-31808x-2172888\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[(221, 1242)]$ |
| 285600.ec1 |
285600ec2 |
285600.ec |
285600ec |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{6} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$458752$ |
$1.205435$ |
$444893916104/9639$ |
$0.90999$ |
$3.40032$ |
$[0, 1, 0, -31808, 2172888]$ |
\(y^2=x^3+x^2-31808x+2172888\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 168.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 388416.df1 |
388416df3 |
388416.df |
388416df |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$2.414711140$ |
$1$ |
|
$5$ |
$4128768$ |
$2.163895$ |
$444893916104/9639$ |
$0.90999$ |
$4.21277$ |
$[0, -1, 0, -1470817, 687049633]$ |
\(y^2=x^3-x^2-1470817x+687049633\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 408.24.0.?, $\ldots$ |
$[(721, 936)]$ |
| 388416.hr1 |
388416hr4 |
388416.hr |
388416hr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$6.920874209$ |
$1$ |
|
$1$ |
$4128768$ |
$2.163895$ |
$444893916104/9639$ |
$0.90999$ |
$4.21277$ |
$[0, 1, 0, -1470817, -687049633]$ |
\(y^2=x^3+x^2-1470817x-687049633\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 408.24.0.?, $\ldots$ |
$[(294479/11, 134121432/11)]$ |
| 479808.dt1 |
479808dt4 |
479808.dt |
479808dt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{10} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$4.142364198$ |
$1$ |
|
$5$ |
$5505024$ |
$2.269550$ |
$444893916104/9639$ |
$0.90999$ |
$4.24164$ |
$[0, 0, 0, -2244396, -1294163696]$ |
\(y^2=x^3-2244396x-1294163696\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.4, 136.12.0.?, $\ldots$ |
$[(-864, 148)]$ |
| 479808.dw1 |
479808dw3 |
479808.dw |
479808dw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{10} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$5.248714679$ |
$1$ |
|
$3$ |
$5505024$ |
$2.269550$ |
$444893916104/9639$ |
$0.90999$ |
$4.24164$ |
$[0, 0, 0, -2244396, 1294163696]$ |
\(y^2=x^3-2244396x+1294163696\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 136.12.0.?, $\ldots$ |
$[(3784, 216756)]$ |
