| 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 |
| 19602.b2 |
19602m1 |
19602.b |
19602m |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$0.391411723$ |
$1$ |
|
$16$ |
$4320$ |
$-0.025198$ |
$-297/64$ |
$1.06665$ |
$2.32752$ |
$[1, -1, 0, -6, 116]$ |
\(y^2+xy=x^3-x^2-6x+116\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 33.8.0-3.a.1.2, 132.32.0.? |
$[(4, 10), (-4, 10)]$ |
| 19602.o2 |
19602j2 |
19602.o |
19602j |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.3, 3.8.0.2 |
3B.1.2 |
$12$ |
$32$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$142560$ |
$1.723055$ |
$-297/64$ |
$1.06665$ |
$4.45017$ |
$[1, -1, 0, -6738, 4115348]$ |
\(y^2+xy=x^3-x^2-6738x+4115348\) |
3.8.0-3.a.1.1, 4.4.0-4.a.1.1, 12.32.0-12.b.2.4 |
$[ ]$ |
| 19602.r2 |
19602bb1 |
19602.r |
19602bb |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$12$ |
$32$ |
$0$ |
$3.509466287$ |
$1$ |
|
$6$ |
$47520$ |
$1.173750$ |
$-297/64$ |
$1.06665$ |
$3.78323$ |
$[1, -1, 1, -749, -152171]$ |
\(y^2+xy+y=x^3-x^2-749x-152171\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.32.0-12.b.2.3 |
$[(139, 1484)]$ |
| 19602.bd2 |
19602z2 |
19602.bd |
19602z |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$2.381408209$ |
$1$ |
|
$2$ |
$12960$ |
$0.524108$ |
$-297/64$ |
$1.06665$ |
$2.99446$ |
$[1, -1, 1, -56, -3077]$ |
\(y^2+xy+y=x^3-x^2-56x-3077\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 33.8.0-3.a.1.1, 44.4.0-4.a.1.1, $\ldots$ |
$[(17, 17)]$ |
| 156816.h2 |
156816n1 |
156816.h |
156816n |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$12$ |
$32$ |
$0$ |
$8.134632575$ |
$1$ |
|
$0$ |
$1140480$ |
$1.866898$ |
$-297/64$ |
$1.06665$ |
$3.82091$ |
$[0, 0, 0, -11979, 9750906]$ |
\(y^2=x^3-11979x+9750906\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.32.0-12.b.2.1 |
$[(-1814/3, 53846/3)]$ |
| 156816.k2 |
156816p1 |
156816.k |
156816p |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$6.195280147$ |
$1$ |
|
$2$ |
$103680$ |
$0.667949$ |
$-297/64$ |
$1.06665$ |
$2.61824$ |
$[0, 0, 0, -99, -7326]$ |
\(y^2=x^3-99x-7326\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 66.8.0-3.a.1.1, 132.32.0.? |
$[(478, 10448)]$ |
| 156816.dc2 |
156816bz2 |
156816.dc |
156816bz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{12} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.3, 3.4.0.1 |
3B |
$12$ |
$32$ |
$0$ |
$15.90980422$ |
$1$ |
|
$0$ |
$3421440$ |
$2.416203$ |
$-297/64$ |
$1.06665$ |
$4.37192$ |
$[0, 0, 0, -107811, -263274462]$ |
\(y^2=x^3-107811x-263274462\) |
3.4.0.a.1, 4.4.0-4.a.1.1, 6.8.0-3.a.1.2, 12.32.0-12.b.2.2 |
$[(179348257/214, 2388104005177/214)]$ |
| 156816.df2 |
156816cc2 |
156816.df |
156816cc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{12} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$132$ |
$32$ |
$0$ |
$9.323067487$ |
$1$ |
|
$0$ |
$311040$ |
$1.217255$ |
$-297/64$ |
$1.06665$ |
$3.16925$ |
$[0, 0, 0, -891, 197802]$ |
\(y^2=x^3-891x+197802\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 44.4.0-4.a.1.1, 66.8.0-3.a.1.2, $\ldots$ |
$[(6241/10, 620711/10)]$ |
| 490050.bd2 |
490050bd1 |
490050.bd |
490050bd |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$60$ |
$32$ |
$0$ |
$13.92875161$ |
$1$ |
|
$4$ |
$5132160$ |
$1.978468$ |
$-297/64$ |
$1.06665$ |
$3.59081$ |
$[1, -1, 0, -18717, -19040059]$ |
\(y^2+xy=x^3-x^2-18717x-19040059\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 15.8.0-3.a.1.2, 60.32.0-12.b.2.4 |
$[(938, 27603), (338, 3459)]$ |
| 490050.do2 |
490050do2 |
490050.do |
490050do |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$660$ |
$32$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1399680$ |
$1.328827$ |
$-297/64$ |
$1.06665$ |
$2.99582$ |
$[1, -1, 0, -1392, -385984]$ |
\(y^2+xy=x^3-x^2-1392x-385984\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 165.8.0.?, 220.4.0.?, $\ldots$ |
$[ ]$ |
| 490050.fu2 |
490050fu2 |
490050.fu |
490050fu |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$60$ |
$32$ |
$0$ |
$10.12172173$ |
$1$ |
|
$0$ |
$15396480$ |
$2.527775$ |
$-297/64$ |
$1.06665$ |
$4.09391$ |
$[1, -1, 1, -168455, 514250047]$ |
\(y^2+xy+y=x^3-x^2-168455x+514250047\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 15.8.0-3.a.1.1, 20.4.0-4.a.1.1, $\ldots$ |
$[(22895/2, 3436979/2)]$ |
| 490050.id2 |
490050id1 |
490050.id |
490050id |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$660$ |
$32$ |
$0$ |
$2.852838791$ |
$1$ |
|
$2$ |
$466560$ |
$0.779521$ |
$-297/64$ |
$1.06665$ |
$2.49273$ |
$[1, -1, 1, -155, 14347]$ |
\(y^2+xy+y=x^3-x^2-155x+14347\) |
3.4.0.a.1, 4.2.0.a.1, 12.16.0.b.2, 165.8.0.?, 660.32.0.? |
$[(-25, 58)]$ |
