| 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 |
| 76664.a1 |
76664g1 |
76664.a |
76664g |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 7 \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$262656$ |
$1.411837$ |
$27648/259$ |
$0.75618$ |
$3.57053$ |
$[0, 0, 0, 5476, -607836]$ |
\(y^2=x^3+5476x-607836\) |
518.2.0.? |
$[]$ |
| 76664.b1 |
76664b4 |
76664.b |
76664b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{11} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2072$ |
$48$ |
$0$ |
$9.271510027$ |
$1$ |
|
$3$ |
$414720$ |
$1.803427$ |
$1443468546/7$ |
$1.04654$ |
$4.47938$ |
$[0, 0, 0, -409331, 100799470]$ |
\(y^2=x^3-409331x+100799470\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 296.24.0.?, $\ldots$ |
$[(10774, 1116390)]$ |
| 76664.b2 |
76664b3 |
76664.b |
76664b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2072$ |
$48$ |
$0$ |
$9.271510027$ |
$1$ |
|
$1$ |
$414720$ |
$1.803427$ |
$11090466/2401$ |
$1.11706$ |
$4.04650$ |
$[0, 0, 0, -80771, -6990114]$ |
\(y^2=x^3-80771x-6990114\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 148.12.0.?, $\ldots$ |
$[(-62394/17, 3047898/17)]$ |
| 76664.b3 |
76664b2 |
76664.b |
76664b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2072$ |
$48$ |
$0$ |
$4.635755013$ |
$1$ |
|
$7$ |
$207360$ |
$1.456852$ |
$740772/49$ |
$1.06534$ |
$3.74426$ |
$[0, 0, 0, -26011, 1519590]$ |
\(y^2=x^3-26011x+1519590\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 148.12.0.?, $\ldots$ |
$[(-178, 714)]$ |
| 76664.b4 |
76664b1 |
76664.b |
76664b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2072$ |
$48$ |
$0$ |
$2.317877506$ |
$1$ |
|
$1$ |
$103680$ |
$1.110279$ |
$432/7$ |
$0.89152$ |
$3.25192$ |
$[0, 0, 0, 1369, 101306]$ |
\(y^2=x^3+1369x+101306\) |
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, $\ldots$ |
$[(185/2, 4107/2)]$ |
| 76664.c1 |
76664f1 |
76664.c |
76664f |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{4} \cdot 7^{2} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$153216$ |
$1.370546$ |
$6912000/1813$ |
$0.92588$ |
$3.57306$ |
$[0, 0, 0, -13690, 455877]$ |
\(y^2=x^3-13690x+455877\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[]$ |
| 76664.c2 |
76664f2 |
76664.c |
76664f |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 7 \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$306432$ |
$1.717119$ |
$6750000/9583$ |
$0.85629$ |
$3.85070$ |
$[0, 0, 0, 34225, 2937874]$ |
\(y^2=x^3+34225x+2937874\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[]$ |
| 76664.d1 |
76664a1 |
76664.d |
76664a |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 7^{7} \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$6.886476548$ |
$1$ |
|
$2$ |
$5515776$ |
$3.178997$ |
$-15283295882302464/41714923579$ |
$1.00656$ |
$5.73307$ |
$[0, 0, 0, -44941532, 116236275668]$ |
\(y^2=x^3-44941532x+116236275668\) |
518.2.0.? |
$[(4234, 43078)]$ |
| 76664.e1 |
76664c1 |
76664.e |
76664c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{4} \cdot 7^{2} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$57.53861908$ |
$1$ |
|
$1$ |
$3348864$ |
$2.713200$ |
$33256413948450816/2481997$ |
$1.11932$ |
$5.55527$ |
$[0, 0, 0, -23111458, -42765061575]$ |
\(y^2=x^3-23111458x-42765061575\) |
2.3.0.a.1, 28.6.0.c.1, 74.6.0.?, 1036.12.0.? |
$[(24422152354859903865045400/65845391201, 21705733062678576052341581654740667235/65845391201)]$ |
| 76664.e2 |
76664c2 |
76664.e |
76664c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 7 \cdot 37^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1036$ |
$12$ |
$0$ |
$115.0772381$ |
$1$ |
|
$1$ |
$6697728$ |
$3.059772$ |
$-2065624967846736/17960084863$ |
$1.06882$ |
$5.55604$ |
$[0, 0, 0, -23063543, -42951211350]$ |
\(y^2=x^3-23063543x-42951211350\) |
2.3.0.a.1, 14.6.0.b.1, 148.6.0.?, 1036.12.0.? |
$[(127156062763397936272870903102671675870733181362431/150260867562346015551845, 257985237337747985166856070561480160031698524821868962085382352256726221296/150260867562346015551845)]$ |
| 76664.f1 |
76664e1 |
76664.f |
76664e |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$8.681957779$ |
$1$ |
|
$0$ |
$671328$ |
$1.805040$ |
$-9472/343$ |
$0.76736$ |
$3.99818$ |
$[0, -1, 0, -16884, 6738725]$ |
\(y^2=x^3-x^2-16884x+6738725\) |
14.2.0.a.1 |
$[(-3634/5, 308739/5)]$ |
| 76664.g1 |
76664h1 |
76664.g |
76664h |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{10} \cdot 7^{4} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2131200$ |
$2.609501$ |
$-7680477316/2401$ |
$0.89223$ |
$5.20853$ |
$[0, -1, 0, -6297856, -6082815588]$ |
\(y^2=x^3-x^2-6297856x-6082815588\) |
4.4.0-4.a.1.1 |
$[]$ |
| 76664.h1 |
76664d1 |
76664.h |
76664d |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{10} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$148$ |
$4$ |
$0$ |
$8.732354694$ |
$1$ |
|
$0$ |
$57600$ |
$0.804042$ |
$-7680477316/2401$ |
$0.89223$ |
$3.28222$ |
$[0, -1, 0, -4600, -118596]$ |
\(y^2=x^3-x^2-4600x-118596\) |
4.2.0.a.1, 148.4.0.? |
$[(6045/2, 469359/2)]$ |
| 76664.i1 |
76664j1 |
76664.i |
76664j |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18144$ |
$-0.000418$ |
$-9472/343$ |
$0.76736$ |
$2.07187$ |
$[0, -1, 0, -12, 137]$ |
\(y^2=x^3-x^2-12x+137\) |
14.2.0.a.1 |
$[]$ |
| 76664.j1 |
76664i2 |
76664.j |
76664i |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{11} \cdot 7^{6} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$2363904$ |
$2.496948$ |
$169556172914/4353013$ |
$0.88931$ |
$4.90314$ |
$[0, -1, 0, -2004672, -1067303380]$ |
\(y^2=x^3-x^2-2004672x-1067303380\) |
2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.? |
$[]$ |
| 76664.j2 |
76664i1 |
76664.j |
76664i |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$1181952$ |
$2.150375$ |
$415292/469567$ |
$0.92128$ |
$4.36649$ |
$[0, -1, 0, 21448, -53432932]$ |
\(y^2=x^3-x^2+21448x-53432932\) |
2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.? |
$[]$ |
| 76664.k1 |
76664k2 |
76664.k |
76664k |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$43.88407456$ |
$1$ |
|
$1$ |
$405504$ |
$1.570789$ |
$3543122/49$ |
$1.08036$ |
$3.94504$ |
$[0, -1, 0, -55216, -4915572]$ |
\(y^2=x^3-x^2-55216x-4915572\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(-38686530985124451927/555309857, 24982212630232693491262884690/555309857)]$ |
| 76664.k2 |
76664k1 |
76664.k |
76664k |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{10} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$21.94203728$ |
$1$ |
|
$1$ |
$202752$ |
$1.224216$ |
$-4/7$ |
$1.03482$ |
$3.37844$ |
$[0, -1, 0, -456, -206212]$ |
\(y^2=x^3-x^2-456x-206212\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(350634126926/9635, 207594575807593776/9635)]$ |
