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 |
2652.a1 |
2652a1 |
2652.a |
2652a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1728$ |
$0.722626$ |
$7107347955712/1996623837$ |
$0.97060$ |
$4.10560$ |
$[0, -1, 0, -1009, 9190]$ |
\(y^2=x^3-x^2-1009x+9190\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
2652.a2 |
2652a2 |
2652.a |
2652a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3456$ |
$1.069199$ |
$7909612346288/10289870721$ |
$0.93265$ |
$4.49899$ |
$[0, -1, 0, 2636, 57304]$ |
\(y^2=x^3-x^2+2636x+57304\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 312.24.0.?, $\ldots$ |
$[]$ |
2652.b1 |
2652c1 |
2652.b |
2652c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$0.457813944$ |
$1$ |
|
$7$ |
$288$ |
$-0.171941$ |
$256000000/33813$ |
$0.93430$ |
$2.80770$ |
$[0, -1, 0, -33, -54]$ |
\(y^2=x^3-x^2-33x-54\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.? |
$[(-3, 3)]$ |
2652.b2 |
2652c2 |
2652.b |
2652c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$0.915627889$ |
$1$ |
|
$7$ |
$576$ |
$0.174633$ |
$59582000/232713$ |
$0.82425$ |
$3.19636$ |
$[0, -1, 0, 52, -360]$ |
\(y^2=x^3-x^2+52x-360\) |
2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.? |
$[(14, 54)]$ |
2652.c1 |
2652b2 |
2652.c |
2652b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$0.976019257$ |
$1$ |
|
$5$ |
$1728$ |
$0.548694$ |
$6371214852688/77571$ |
$0.95945$ |
$4.44345$ |
$[0, -1, 0, -2452, 47560]$ |
\(y^2=x^3-x^2-2452x+47560\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.? |
$[(30, 10)]$ |
2652.c2 |
2652b1 |
2652.c |
2652b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$0.488009628$ |
$1$ |
|
$9$ |
$864$ |
$0.202121$ |
$26919436288/2738853$ |
$0.94113$ |
$3.39826$ |
$[0, -1, 0, -157, 742]$ |
\(y^2=x^3-x^2-157x+742\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(3, 17)]$ |
2652.d1 |
2652e2 |
2652.d |
2652e |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3 \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1728$ |
$0.762336$ |
$437640371152/246167259$ |
$1.02337$ |
$4.10371$ |
$[0, 1, 0, -1004, 1716]$ |
\(y^2=x^3+x^2-1004x+1716\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
2652.d2 |
2652e1 |
2652.d |
2652e |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$864$ |
$0.415762$ |
$2908230909952/5714397$ |
$1.06001$ |
$3.99225$ |
$[0, 1, 0, -749, 7632]$ |
\(y^2=x^3+x^2-749x+7632\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
2652.e1 |
2652d1 |
2652.e |
2652d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$0.788599490$ |
$1$ |
|
$5$ |
$960$ |
$0.397324$ |
$13478411517952/304317$ |
$0.96321$ |
$4.18678$ |
$[0, 1, 0, -1249, 16580]$ |
\(y^2=x^3+x^2-1249x+16580\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(32, 102)]$ |
2652.e2 |
2652d2 |
2652.e |
2652d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{2} \cdot 13^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5304$ |
$48$ |
$0$ |
$1.577198981$ |
$1$ |
|
$3$ |
$1920$ |
$0.743897$ |
$-754612278352/127035441$ |
$0.89330$ |
$4.20521$ |
$[0, 1, 0, -1204, 17876]$ |
\(y^2=x^3+x^2-1204x+17876\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 312.24.0.?, $\ldots$ |
$[(11, 78)]$ |
2652.f1 |
2652f3 |
2652.f |
2652f |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4320$ |
$1.161879$ |
$840033089536000/477272151837$ |
$1.05946$ |
$4.71099$ |
$[0, 1, 0, -4953, -19764]$ |
\(y^2=x^3+x^2-4953x-19764\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 26.6.0.b.1, 68.6.0.b.1, $\ldots$ |
$[]$ |
2652.f2 |
2652f1 |
2652.f |
2652f |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$1440$ |
$0.612573$ |
$216727177216000/2738853$ |
$0.98186$ |
$4.53913$ |
$[0, 1, 0, -3153, 67104]$ |
\(y^2=x^3+x^2-3153x+67104\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 26.6.0.b.1, 68.6.0.b.1, $\ldots$ |
$[]$ |
2652.f3 |
2652f2 |
2652.f |
2652f |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{12} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$2880$ |
$0.959146$ |
$-12479332642000/1526829993$ |
$0.91595$ |
$4.55306$ |
$[0, 1, 0, -3068, 70980]$ |
\(y^2=x^3+x^2-3068x+70980\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 52.6.0.c.1, 68.6.0.a.1, $\ldots$ |
$[]$ |
2652.f4 |
2652f4 |
2652.f |
2652f |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2652$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8640$ |
$1.508451$ |
$3258571509326000/1920843121977$ |
$1.13909$ |
$5.23467$ |
$[0, 1, 0, 19612, -137676]$ |
\(y^2=x^3+x^2+19612x-137676\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 52.6.0.c.1, 68.6.0.a.1, $\ldots$ |
$[]$ |
2652.g1 |
2652g2 |
2652.g |
2652g |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3 \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.679056681$ |
$1$ |
|
$5$ |
$1920$ |
$0.673813$ |
$42830942866000/146523$ |
$0.92201$ |
$4.68516$ |
$[0, 1, 0, -4628, 119652]$ |
\(y^2=x^3+x^2-4628x+119652\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(48, 102)]$ |
2652.g2 |
2652g1 |
2652.g |
2652g |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.339528340$ |
$1$ |
|
$7$ |
$960$ |
$0.327240$ |
$174456832000/9771957$ |
$1.16543$ |
$3.63533$ |
$[0, 1, 0, -293, 1740]$ |
\(y^2=x^3+x^2-293x+1740\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(-3, 51)]$ |