| 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 |
| 1452.a1 |
1452b1 |
1452.a |
1452b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$264$ |
$4$ |
$0$ |
$0.158112115$ |
$1$ |
|
$8$ |
$144$ |
$-0.275437$ |
$176/9$ |
$0.90237$ |
$2.74445$ |
$[0, -1, 0, 4, 24]$ |
\(y^2=x^3-x^2+4x+24\) |
4.2.0.a.1, 264.4.0.? |
$[(2, 6)]$ |
| 1452.b1 |
1452a1 |
1452.b |
1452a |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$0.883781575$ |
$1$ |
|
$2$ |
$1584$ |
$0.923511$ |
$176/9$ |
$0.90237$ |
$4.72055$ |
$[0, -1, 0, 444, -33768]$ |
\(y^2=x^3-x^2+444x-33768\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[(81, 726)]$ |
| 1452.c1 |
1452c2 |
1452.c |
1452c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$3.493948691$ |
$1$ |
|
$3$ |
$7200$ |
$1.614311$ |
$932410994128/29403$ |
$0.99766$ |
$6.52322$ |
$[0, -1, 0, -156372, -23747832]$ |
\(y^2=x^3-x^2-156372x-23747832\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(2798, 146410)]$ |
| 1452.c2 |
1452c1 |
1452.c |
1452c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.746974345$ |
$1$ |
|
$5$ |
$3600$ |
$1.267736$ |
$-3196715008/649539$ |
$1.08791$ |
$5.40419$ |
$[0, -1, 0, -9357, -401850]$ |
\(y^2=x^3-x^2-9357x-401850\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(125, 605)]$ |
| 1452.d1 |
1452h1 |
1452.d |
1452h |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5544$ |
$1.188076$ |
$-30908416/3$ |
$1.03221$ |
$5.76525$ |
$[0, 1, 0, -24845, 1499199]$ |
\(y^2=x^3+x^2-24845x+1499199\) |
6.2.0.a.1 |
$[]$ |
| 1452.e1 |
1452g1 |
1452.e |
1452g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$504$ |
$-0.010872$ |
$-30908416/3$ |
$1.03221$ |
$3.78915$ |
$[0, 1, 0, -205, -1201]$ |
\(y^2=x^3+x^2-205x-1201\) |
6.2.0.a.1 |
$[]$ |
| 1452.f1 |
1452d2 |
1452.f |
1452d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1440$ |
$0.847654$ |
$810448/363$ |
$0.86847$ |
$4.60641$ |
$[0, 1, 0, -1492, 10052]$ |
\(y^2=x^3+x^2-1492x+10052\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
| 1452.f2 |
1452d1 |
1452.f |
1452d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$720$ |
$0.501081$ |
$131072/99$ |
$1.36072$ |
$3.97537$ |
$[0, 1, 0, 323, 1340]$ |
\(y^2=x^3+x^2+323x+1340\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
| 1452.g1 |
1452f2 |
1452.g |
1452f |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33264$ |
$2.285328$ |
$-2527934627152/9$ |
$1.07087$ |
$7.97761$ |
$[0, 1, 0, -5334204, 4740124068]$ |
\(y^2=x^3+x^2-5334204x+4740124068\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 33.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 1452.g2 |
1452f1 |
1452.g |
1452f |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$264$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11088$ |
$1.736021$ |
$-4253392/729$ |
$0.97109$ |
$6.18715$ |
$[0, 1, 0, -63444, 6981588]$ |
\(y^2=x^3+x^2-63444x+6981588\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 33.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 1452.h1 |
1452e2 |
1452.h |
1452e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.2 |
3B.1.2 |
$24$ |
$32$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3024$ |
$1.086380$ |
$-2527934627152/9$ |
$1.07087$ |
$6.00151$ |
$[0, 1, 0, -44084, -3577356]$ |
\(y^2=x^3+x^2-44084x-3577356\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 12.16.0-12.a.1.5, 24.32.0-24.b.1.6 |
$[]$ |
| 1452.h2 |
1452e1 |
1452.h |
1452e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1008$ |
$0.537074$ |
$-4253392/729$ |
$0.97109$ |
$4.21105$ |
$[0, 1, 0, -524, -5436]$ |
\(y^2=x^3+x^2-524x-5436\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 24.32.0-24.b.2.6 |
$[]$ |
