| 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 |
| 786.j1 |
786j1 |
786.j |
786j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.077005409$ |
$1$ |
|
$10$ |
$504$ |
$0.523108$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.78299$ |
$[1, 1, 1, -861, 9267]$ |
\(y^2+xy+y=x^3+x^2-861x+9267\) |
3144.2.0.? |
$[(-9, 132)]$ |
| 2358.f1 |
2358f1 |
2358.f |
2358f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4032$ |
$1.072414$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.95516$ |
$[1, -1, 0, -7749, -257963]$ |
\(y^2+xy=x^3-x^2-7749x-257963\) |
3144.2.0.? |
$[]$ |
| 6288.k1 |
6288k1 |
6288.k |
6288k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{33} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$2.734886352$ |
$1$ |
|
$0$ |
$12096$ |
$1.216255$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.59683$ |
$[0, 1, 0, -13776, -620652]$ |
\(y^2=x^3+x^2-13776x-620652\) |
3144.2.0.? |
$[(-3454/7, 24576/7)]$ |
| 18864.x1 |
18864bb1 |
18864.x |
18864bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{33} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.765560$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.75341$ |
$[0, 0, 0, -123987, 16633618]$ |
\(y^2=x^3-123987x+16633618\) |
3144.2.0.? |
$[]$ |
| 19650.q1 |
19650n1 |
19650.q |
19650n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$7.552119605$ |
$1$ |
|
$0$ |
$70560$ |
$1.327826$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.20244$ |
$[1, 0, 1, -21526, 1201448]$ |
\(y^2+xy+y=x^3-21526x+1201448\) |
3144.2.0.? |
$[(1584/5, 34088/5)]$ |
| 25152.p1 |
25152bf1 |
25152.p |
25152bf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{39} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$4.382381420$ |
$1$ |
|
$0$ |
$96768$ |
$1.562828$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.37836$ |
$[0, -1, 0, -55105, -4910111]$ |
\(y^2=x^3-x^2-55105x-4910111\) |
3144.2.0.? |
$[(23149/3, 3506176/3)]$ |
| 25152.bj1 |
25152k1 |
25152.bj |
25152k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{39} \cdot 3 \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.562828$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.37836$ |
$[0, 1, 0, -55105, 4910111]$ |
\(y^2=x^3+x^2-55105x+4910111\) |
3144.2.0.? |
$[]$ |
| 38514.bf1 |
38514bd1 |
38514.bf |
38514bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$166320$ |
$1.496063$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.12580$ |
$[1, 0, 0, -42190, -3305212]$ |
\(y^2+xy=x^3-42190x-3305212\) |
3144.2.0.? |
$[]$ |
| 58950.cf1 |
58950br1 |
58950.cf |
58950br |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.577067518$ |
$1$ |
|
$4$ |
$564480$ |
$1.877132$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.38222$ |
$[1, -1, 1, -193730, -32439103]$ |
\(y^2+xy+y=x^3-x^2-193730x-32439103\) |
3144.2.0.? |
$[(-255, 703)]$ |
| 75456.z1 |
75456bc1 |
75456.z |
75456bc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{39} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$3.590084612$ |
$1$ |
|
$2$ |
$774144$ |
$2.112133$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.53699$ |
$[0, 0, 0, -495948, -133068944]$ |
\(y^2=x^3-495948x-133068944\) |
3144.2.0.? |
$[(-412, 1152)]$ |
| 75456.bj1 |
75456cm1 |
75456.bj |
75456cm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{39} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$5.254425605$ |
$1$ |
|
$2$ |
$774144$ |
$2.112133$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.53699$ |
$[0, 0, 0, -495948, 133068944]$ |
\(y^2=x^3-495948x+133068944\) |
3144.2.0.? |
$[(85, 9567)]$ |
| 95106.e1 |
95106a1 |
95106.e |
95106a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 11^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$720720$ |
$1.722055$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.03702$ |
$[1, 1, 0, -104183, -12855531]$ |
\(y^2+xy=x^3+x^2-104183x-12855531\) |
3144.2.0.? |
$[]$ |
| 102966.b1 |
102966b1 |
102966.b |
102966b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{21} \cdot 3 \cdot 131^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8648640$ |
$2.960705$ |
$70593496254289/824180736$ |
$0.95961$ |
$5.29703$ |
$[1, 1, 0, -14775978, -21646137516]$ |
\(y^2+xy=x^3+x^2-14775978x-21646137516\) |
3144.2.0.? |
$[]$ |
| 115542.k1 |
115542v1 |
115542.k |
115542v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1330560$ |
$2.045368$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.30243$ |
$[1, -1, 0, -379710, 89240724]$ |
\(y^2+xy=x^3-x^2-379710x+89240724\) |
3144.2.0.? |
$[]$ |
| 132834.d1 |
132834bc1 |
132834.d |
132834bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$1.805582$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.00765$ |
$[1, 1, 0, -145512, 21087552]$ |
\(y^2+xy=x^3+x^2-145512x+21087552\) |
3144.2.0.? |
$[]$ |
| 157200.f1 |
157200bs1 |
157200.f |
157200bs |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{33} \cdot 3 \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1693440$ |
$2.020973$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.16726$ |
$[0, -1, 0, -344408, -76892688]$ |
\(y^2=x^3-x^2-344408x-76892688\) |
3144.2.0.? |
$[]$ |
| 227154.u1 |
227154d1 |
227154.u |
227154d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 17^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$2.264338415$ |
$1$ |
|
$2$ |
$2411136$ |
$1.939714$ |
$70593496254289/824180736$ |
$0.95961$ |
$3.96381$ |
$[1, 0, 0, -248835, 47271489]$ |
\(y^2+xy=x^3-248835x+47271489\) |
3144.2.0.? |
$[(110, 4553)]$ |
| 283746.n1 |
283746n1 |
283746.n |
283746n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 19^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3483648$ |
$1.995327$ |
$70593496254289/824180736$ |
$0.95961$ |
$3.94674$ |
$[1, 0, 1, -310829, -66050200]$ |
\(y^2+xy+y=x^3-310829x-66050200\) |
3144.2.0.? |
$[]$ |
| 285318.bf1 |
285318bf1 |
285318.bf |
285318bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.386995464$ |
$1$ |
|
$4$ |
$5765760$ |
$2.271362$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.20870$ |
$[1, -1, 1, -937652, 346161687]$ |
\(y^2+xy+y=x^3-x^2-937652x+346161687\) |
3144.2.0.? |
$[(485, 2061)]$ |
| 308112.u1 |
308112u1 |
308112.u |
308112u |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{33} \cdot 3 \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3991680$ |
$2.189209$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.10510$ |
$[0, -1, 0, -675040, 211533568]$ |
\(y^2=x^3-x^2-675040x+211533568\) |
3144.2.0.? |
$[]$ |
| 308898.bo1 |
308898bo1 |
308898.bo |
308898bo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{21} \cdot 3^{7} \cdot 131^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.624802228$ |
$1$ |
|
$8$ |
$69189120$ |
$3.510014$ |
$70593496254289/824180736$ |
$0.95961$ |
$5.35813$ |
$[1, -1, 1, -132983807, 584312729127]$ |
\(y^2+xy+y=x^3-x^2-132983807x+584312729127\) |
3144.2.0.? |
$[(46931, 9861270), (1565835/19, 2032359794/19)]$ |
| 398502.bl1 |
398502bl1 |
398502.bl |
398502bl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.341515602$ |
$1$ |
|
$4$ |
$9289728$ |
$2.354889$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.17738$ |
$[1, -1, 1, -1309613, -570673515]$ |
\(y^2+xy+y=x^3-x^2-1309613x-570673515\) |
3144.2.0.? |
$[(-705, 1704)]$ |
| 415794.bg1 |
415794bg1 |
415794.bg |
415794bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{21} \cdot 3 \cdot 23^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6286896$ |
$2.090855$ |
$70593496254289/824180736$ |
$0.95961$ |
$3.91878$ |
$[1, 1, 1, -455480, -117308551]$ |
\(y^2+xy+y=x^3+x^2-455480x-117308551\) |
3144.2.0.? |
$[]$ |
| 471600.bf1 |
471600bf1 |
471600.bf |
471600bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{33} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13547520$ |
$2.570278$ |
$70593496254289/824180736$ |
$0.95961$ |
$4.32138$ |
$[0, 0, 0, -3099675, 2079202250]$ |
\(y^2=x^3-3099675x+2079202250\) |
3144.2.0.? |
$[]$ |
