| 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 |
| 304.a1 |
304f1 |
304.a |
304f |
$1$ |
$1$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.147598025$ |
$1$ |
|
$6$ |
$24$ |
$-0.440931$ |
$-4194304/19$ |
$1.07903$ |
$3.63864$ |
$[0, 1, 0, -21, 31]$ |
\(y^2=x^3+x^2-21x+31\) |
38.2.0.a.1 |
$[(3, 2)]$ |
| 304.b1 |
304c1 |
304.b |
304c |
$1$ |
$1$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{11} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.103366441$ |
$1$ |
|
$8$ |
$16$ |
$-0.417178$ |
$-31250/19$ |
$0.89957$ |
$3.26963$ |
$[0, -1, 0, -8, 16]$ |
\(y^2=x^3-x^2-8x+16\) |
152.2.0.? |
$[(0, 4)]$ |
| 304.c1 |
304b3 |
304.c |
304b |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{39} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$432$ |
$1.178316$ |
$-69173457625/2550136832$ |
$1.05462$ |
$6.55016$ |
$[0, -1, 0, -1368, 157168]$ |
\(y^2=x^3-x^2-1368x+157168\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 27.36.0.a.1, 36.24.0-9.a.1.1, $\ldots$ |
$[]$ |
| 304.c2 |
304b1 |
304.c |
304b |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{15} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.079705$ |
$-413493625/152$ |
$0.93281$ |
$4.92538$ |
$[0, -1, 0, -248, -1424]$ |
\(y^2=x^3-x^2-248x-1424\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 27.36.0.a.1, 36.24.0-9.a.1.2, $\ldots$ |
$[]$ |
| 304.c3 |
304b2 |
304.c |
304b |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{21} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$0.629010$ |
$94196375/3511808$ |
$1.01875$ |
$5.39240$ |
$[0, -1, 0, 152, -5776]$ |
\(y^2=x^3-x^2+152x-5776\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.1, 36.72.0-9.b.1.1, 152.2.0.?, $\ldots$ |
$[]$ |
| 304.d1 |
304a2 |
304.d |
304a |
$2$ |
$5$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{13} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$760$ |
$48$ |
$1$ |
$0.065585187$ |
$1$ |
|
$8$ |
$240$ |
$0.710932$ |
$-37966934881/4952198$ |
$0.97714$ |
$5.75142$ |
$[0, 1, 0, -1120, 15604]$ |
\(y^2=x^3+x^2-1120x+15604\) |
5.12.0.a.2, 20.24.0-5.a.2.2, 152.2.0.?, 760.48.1.? |
$[(-30, 152)]$ |
| 304.d2 |
304a1 |
304.d |
304a |
$2$ |
$5$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{17} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$0.327925939$ |
$1$ |
|
$6$ |
$48$ |
$-0.093787$ |
$-1/608$ |
$1.37833$ |
$3.88010$ |
$[0, 1, 0, 0, -76]$ |
\(y^2=x^3+x^2-76\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 152.2.0.?, 760.48.1.? |
$[(10, 32)]$ |
| 304.e1 |
304d1 |
304.e |
304d |
$1$ |
$1$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$-0.611479$ |
$-1024/19$ |
$0.79665$ |
$2.79429$ |
$[0, -1, 0, -1, -3]$ |
\(y^2=x^3-x^2-x-3\) |
38.2.0.a.1 |
$[]$ |
| 304.f1 |
304e3 |
304.f |
304e |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{12} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$2052$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$216$ |
$0.726586$ |
$-50357871050752/19$ |
$1.10495$ |
$6.97354$ |
$[0, -1, 0, -12309, 529757]$ |
\(y^2=x^3-x^2-12309x+529757\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 27.36.0.a.1, 36.24.0-9.a.1.1, $\ldots$ |
$[]$ |
| 304.f2 |
304e2 |
304.f |
304e |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{12} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$2052$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$72$ |
$0.177280$ |
$-89915392/6859$ |
$1.03310$ |
$4.68005$ |
$[0, -1, 0, -149, 797]$ |
\(y^2=x^3-x^2-149x+797\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.1, 36.72.0-9.b.1.1, 38.2.0.a.1, $\ldots$ |
$[]$ |
| 304.f3 |
304e1 |
304.f |
304e |
$3$ |
$9$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{12} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$2052$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.372026$ |
$32768/19$ |
$1.31757$ |
$3.27355$ |
$[0, -1, 0, 11, -3]$ |
\(y^2=x^3-x^2+11x-3\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 27.36.0.a.1, 36.24.0-9.a.1.2, $\ldots$ |
$[]$ |
