| 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 |
| 43190.g2 |
43190s1 |
43190.g |
43190s |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{7} \cdot 617 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$172760$ |
$96$ |
$2$ |
$1.838466062$ |
$1$ |
|
$16$ |
$872592$ |
$1.811062$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.41706$ |
$[1, -1, 1, -137832, 20026539]$ |
\(y^2+xy+y=x^3-x^2-137832x+20026539\) |
7.48.0-7.a.1.2, 172760.96.2.? |
$[(97, 2701)]$ |
| 215950.o2 |
215950bb1 |
215950.o |
215950bb |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 5^{13} \cdot 7^{7} \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$172760$ |
$96$ |
$2$ |
$28.76525383$ |
$1$ |
|
$0$ |
$20942208$ |
$2.615780$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.62447$ |
$[1, -1, 0, -3445792, 2499871616]$ |
\(y^2+xy=x^3-x^2-3445792x+2499871616\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 34552.48.0.?, 172760.96.2.? |
$[(18788438627749/116604, 29628280549714901777/116604)]$ |
| 302330.bo2 |
302330bo1 |
302330.bo |
302330bo |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 617 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{13} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$172760$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$41884416$ |
$2.784016$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.66115$ |
$[1, -1, 1, -6753753, -6855595463]$ |
\(y^2+xy+y=x^3-x^2-6753753x-6855595463\) |
7.48.0-7.a.1.1, 172760.96.2.? |
$[]$ |
| 345520.bn2 |
345520bn1 |
345520.bn |
345520bn |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{19} \cdot 5^{7} \cdot 7^{7} \cdot 617 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$172760$ |
$96$ |
$2$ |
$1$ |
$4$ |
$2$ |
$0$ |
$20942208$ |
$2.504211$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.34905$ |
$[0, 0, 0, -2205307, -1279493206]$ |
\(y^2=x^3-2205307x-1279493206\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 172760.96.2.? |
$[]$ |
| 388710.v2 |
388710v1 |
388710.v |
388710v |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 617 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{7} \cdot 7^{7} \cdot 617 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$518280$ |
$96$ |
$2$ |
$6.857749448$ |
$1$ |
|
$2$ |
$12216288$ |
$2.360367$ |
$-289581579184798874961/5081260310000000$ |
$0.93986$ |
$4.17514$ |
$[1, -1, 0, -1240485, -539476075]$ |
\(y^2+xy=x^3-x^2-1240485x-539476075\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 172760.48.2.?, 518280.96.2.? |
$[(26087, 4196424)]$ |
