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 |
MW-generators |
9464.a1 |
9464b1 |
9464.a |
9464b |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.274970011$ |
$1$ |
|
$8$ |
$16128$ |
$1.123730$ |
$-1024/4459$ |
$[0, 1, 0, -225, 112867]$ |
\(y^2=x^3+x^2-225x+112867\) |
182.2.0.? |
$[(-9, 338)]$ |
9464.b1 |
9464e1 |
9464.b |
9464e |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{11} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.980738$ |
$-31250/91$ |
$[0, -1, 0, -1408, -49492]$ |
\(y^2=x^3-x^2-1408x-49492\) |
728.2.0.? |
$[]$ |
9464.c1 |
9464d4 |
9464.c |
9464d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.280441$ |
$1443468546/7$ |
$[0, 0, 0, -50531, 4372030]$ |
\(y^2=x^3-50531x+4372030\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 104.24.0.?, $\ldots$ |
$[]$ |
9464.c2 |
9464d3 |
9464.c |
9464d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.280441$ |
$11090466/2401$ |
$[0, 0, 0, -9971, -303186]$ |
\(y^2=x^3-9971x-303186\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.1, 56.24.0.v.1, $\ldots$ |
$[]$ |
9464.c3 |
9464d2 |
9464.c |
9464d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$0.933868$ |
$740772/49$ |
$[0, 0, 0, -3211, 65910]$ |
\(y^2=x^3-3211x+65910\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 52.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[]$ |
9464.c4 |
9464d1 |
9464.c |
9464d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.587295$ |
$432/7$ |
$[0, 0, 0, 169, 4394]$ |
\(y^2=x^3+169x+4394\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
9464.d1 |
9464c1 |
9464.d |
9464c |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.284874$ |
$-135834624/15379$ |
$[0, 0, 0, -11492, -518492]$ |
\(y^2=x^3-11492x-518492\) |
182.2.0.? |
$[]$ |
9464.e1 |
9464f1 |
9464.e |
9464f |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$112896$ |
$2.090687$ |
$530208386048/439239619$ |
$[0, -1, 0, 180943, 19400549]$ |
\(y^2=x^3-x^2+180943x+19400549\) |
182.2.0.? |
$[]$ |
9464.f1 |
9464a1 |
9464.f |
9464a |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$364$ |
$4$ |
$0$ |
$1.619662901$ |
$1$ |
|
$2$ |
$1920$ |
$0.036996$ |
$-114244/49$ |
$[0, -1, 0, -56, -196]$ |
\(y^2=x^3-x^2-56x-196\) |
4.2.0.a.1, 364.4.0.? |
$[(10, 12)]$ |
9464.g1 |
9464h1 |
9464.g |
9464h |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$28$ |
$4$ |
$0$ |
$2.363421756$ |
$1$ |
|
$0$ |
$24960$ |
$1.319471$ |
$-114244/49$ |
$[0, -1, 0, -9520, -468612]$ |
\(y^2=x^3-x^2-9520x-468612\) |
4.2.0.a.1, 28.4.0-4.a.1.1 |
$[(621/2, 10647/2)]$ |
9464.h1 |
9464g2 |
9464.h |
9464g |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$18816$ |
$1.047806$ |
$3543122/49$ |
$[0, -1, 0, -6816, -211732]$ |
\(y^2=x^3-x^2-6816x-211732\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
9464.h2 |
9464g1 |
9464.h |
9464g |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{10} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$9408$ |
$0.701232$ |
$-4/7$ |
$[0, -1, 0, -56, -8932]$ |
\(y^2=x^3-x^2-56x-8932\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |