| 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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
| 45.a1 |
45a7 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{10} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.51 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.840176$ |
$1114544804970241/405$ |
$[1, -1, 0, -19440, 1048135]$ |
\(y^2+xy=x^3-x^2-19440x+1048135\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 12.12.0-4.c.1.1, $\ldots$ |
| 45.a2 |
45a5 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{14} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.56 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$16$ |
$0.493602$ |
$272223782641/164025$ |
$[1, -1, 0, -1215, 16600]$ |
\(y^2+xy=x^3-x^2-1215x+16600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 12.24.0-4.b.1.1, 16.96.0-8.k.1.2, $\ldots$ |
| 45.a3 |
45a8 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{22} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.67 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.840176$ |
$-147281603041/215233605$ |
$[1, -1, 0, -990, 22765]$ |
\(y^2+xy=x^3-x^2-990x+22765\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0.u.2, $\ldots$ |
| 45.a4 |
45a3 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{7} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.77 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$8$ |
$0.147029$ |
$56667352321/15$ |
$[1, -1, 0, -720, -7259]$ |
\(y^2+xy=x^3-x^2-720x-7259\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.2, 16.48.0-16.g.1.12, $\ldots$ |
| 45.a5 |
45a4 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{10} \cdot 5^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.87 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$0.147029$ |
$111284641/50625$ |
$[1, -1, 0, -90, 175]$ |
\(y^2+xy=x^3-x^2-90x+175\) |
2.6.0.a.1, 4.24.0.b.1, 8.96.0-8.b.2.6, 12.48.0-4.b.1.1, 24.192.1-24.n.1.8, $\ldots$ |
| 45.a6 |
45a2 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( 3^{8} \cdot 5^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.33 |
2Cs |
$240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.199545$ |
$13997521/225$ |
$[1, -1, 0, -45, -104]$ |
\(y^2+xy=x^3-x^2-45x-104\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.6, 12.24.0-4.b.1.3, 16.96.0-16.d.2.4, $\ldots$ |
| 45.a7 |
45a1 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{7} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.31 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$2$ |
$-0.546119$ |
$-1/15$ |
$[1, -1, 0, 0, -5]$ |
\(y^2+xy=x^3-x^2-5\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 16.48.0-16.g.1.16, $\ldots$ |
| 45.a8 |
45a6 |
45.a |
45a |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \) |
\( - 3^{8} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.172 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.493602$ |
$4733169839/3515625$ |
$[1, -1, 0, 315, 1066]$ |
\(y^2+xy=x^3-x^2+315x+1066\) |
2.3.0.a.1, 4.12.0.d.1, 8.96.0-8.n.2.4, 12.24.0-4.d.1.1, 24.192.1-24.cv.2.1, $\ldots$ |
