| 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 |
| 3640.a1 |
3640j1 |
3640.a |
3640j |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 5^{5} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$520$ |
$48$ |
$0$ |
$0.135401833$ |
$1$ |
|
$15$ |
$12800$ |
$1.336990$ |
$477625344356176/234195040625$ |
$0.94513$ |
$4.79833$ |
$[0, 1, 0, -10340, -161600]$ |
\(y^2=x^3+x^2-10340x-161600\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-30, 350)]$ |
| 3640.a2 |
3640j2 |
3640.a |
3640j |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$0.270803667$ |
$1$ |
|
$11$ |
$25600$ |
$1.683565$ |
$5777565954713276/3962587890625$ |
$0.97010$ |
$5.27142$ |
$[0, 1, 0, 37680, -1198832]$ |
\(y^2=x^3+x^2+37680x-1198832\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 260.24.0.?, 520.48.0.? |
$[(96, 1820)]$ |
| 3640.b1 |
3640a1 |
3640.b |
3640a |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 5^{6} \cdot 7 \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$2.255083138$ |
$1$ |
|
$2$ |
$12480$ |
$1.427008$ |
$-693346671296498/40610171875$ |
$0.93631$ |
$5.10914$ |
$[0, -1, 0, -23416, 1455116]$ |
\(y^2=x^3-x^2-23416x+1455116\) |
728.2.0.? |
$[(61, 500)]$ |
| 3640.c1 |
3640e1 |
3640.c |
3640e |
$1$ |
$1$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 5^{2} \cdot 7^{5} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2240$ |
$0.654668$ |
$-32044133522/5462275$ |
$0.86001$ |
$3.91149$ |
$[0, -1, 0, -840, -10388]$ |
\(y^2=x^3-x^2-840x-10388\) |
728.2.0.? |
$[]$ |
| 3640.d1 |
3640h1 |
3640.d |
3640h |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 5^{5} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$2.427599423$ |
$1$ |
|
$5$ |
$4480$ |
$0.962246$ |
$267080942160036/1990625$ |
$0.94981$ |
$4.89650$ |
$[0, 0, 0, -13523, 605278]$ |
\(y^2=x^3-13523x+605278\) |
2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.? |
$[(66, 16)]$ |
| 3640.d2 |
3640h2 |
3640.d |
3640h |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 5^{10} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$4.855198847$ |
$1$ |
|
$3$ |
$8960$ |
$1.308819$ |
$-125415986034978/11552734375$ |
$0.98805$ |
$4.90686$ |
$[0, 0, 0, -13243, 631542]$ |
\(y^2=x^3-13243x+631542\) |
2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.? |
$[(122, 912)]$ |
| 3640.e1 |
3640c3 |
3640.e |
3640c |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.524632$ |
$298261205316/156065$ |
$0.89169$ |
$4.06753$ |
$[0, 0, 0, -1403, -20218]$ |
\(y^2=x^3-1403x-20218\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 3640.e2 |
3640c4 |
3640.e |
3640c |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 5 \cdot 7 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.524632$ |
$55920415716/999635$ |
$0.96596$ |
$3.86338$ |
$[0, 0, 0, -803, 8622]$ |
\(y^2=x^3-803x+8622\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 28.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 3640.e3 |
3640c2 |
3640.e |
3640c |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1820$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.178058$ |
$472058064/207025$ |
$0.93038$ |
$3.11202$ |
$[0, 0, 0, -103, -198]$ |
\(y^2=x^3-103x-198\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 140.24.0.?, $\ldots$ |
$[]$ |
| 3640.e4 |
3640c1 |
3640.e |
3640c |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.168515$ |
$73598976/56875$ |
$0.81430$ |
$2.54724$ |
$[0, 0, 0, 22, -23]$ |
\(y^2=x^3+22x-23\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3640.f1 |
3640g1 |
3640.f |
3640g |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 5 \cdot 7^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1.686595051$ |
$1$ |
|
$5$ |
$3456$ |
$1.015457$ |
$2238719766084/1292374265$ |
$1.03035$ |
$4.31336$ |
$[0, 0, 0, -2747, -2746]$ |
\(y^2=x^3-2747x-2746\) |
2.3.0.a.1, 56.6.0.c.1, 130.6.0.?, 3640.12.0.? |
$[(-50, 98)]$ |
| 3640.f2 |
3640g2 |
3640.f |
3640g |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 5^{2} \cdot 7^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$3.373190103$ |
$1$ |
|
$3$ |
$6912$ |
$1.362032$ |
$71346044015118/41389887175$ |
$1.09803$ |
$4.82005$ |
$[0, 0, 0, 10973, -21954]$ |
\(y^2=x^3+10973x-21954\) |
2.3.0.a.1, 56.6.0.b.1, 260.6.0.?, 3640.12.0.? |
$[(6, 210)]$ |
| 3640.g1 |
3640b1 |
3640.g |
3640b |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 5 \cdot 7^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3640$ |
$48$ |
$0$ |
$3.297600968$ |
$1$ |
|
$3$ |
$3840$ |
$0.792783$ |
$20093868785104/26374985$ |
$0.89502$ |
$4.41192$ |
$[0, -1, 0, -3596, 84116]$ |
\(y^2=x^3-x^2-3596x+84116\) |
2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.3, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(25, 96)]$ |
| 3640.g2 |
3640b2 |
3640.g |
3640b |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 5^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3640$ |
$48$ |
$0$ |
$1.648800484$ |
$1$ |
|
$3$ |
$7680$ |
$1.139357$ |
$-1934207124196/5912841025$ |
$0.91971$ |
$4.51965$ |
$[0, -1, 0, -2616, 129980]$ |
\(y^2=x^3-x^2-2616x+129980\) |
2.3.0.a.1, 4.6.0.a.1, 28.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(-22, 420)]$ |
| 3640.h1 |
3640d1 |
3640.h |
3640d |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{8} \cdot 5^{3} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.468787$ |
$46689225424/3901625$ |
$0.83837$ |
$3.67231$ |
$[0, -1, 0, -476, 3860]$ |
\(y^2=x^3-x^2-476x+3860\) |
2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.3, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 3640.h2 |
3640d2 |
3640.h |
3640d |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{10} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.815361$ |
$13799183324/129390625$ |
$0.89746$ |
$4.02462$ |
$[0, -1, 0, 504, 16796]$ |
\(y^2=x^3-x^2+504x+16796\) |
2.3.0.a.1, 4.6.0.a.1, 28.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
| 3640.i1 |
3640f2 |
3640.i |
3640f |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 5^{6} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.719295$ |
$32044133522/18484375$ |
$0.95425$ |
$3.88000$ |
$[0, -1, 0, -840, 812]$ |
\(y^2=x^3-x^2-840x+812\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[]$ |
| 3640.i2 |
3640f1 |
3640.i |
3640f |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 5^{3} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.372721$ |
$19000416964/79625$ |
$0.97886$ |
$3.73173$ |
$[0, -1, 0, -560, -4900]$ |
\(y^2=x^3-x^2-560x-4900\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[]$ |
| 3640.j1 |
3640i2 |
3640.j |
3640i |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$4.255777895$ |
$1$ |
|
$1$ |
$1280$ |
$0.291706$ |
$1775007362/29575$ |
$0.95241$ |
$3.52715$ |
$[0, -1, 0, -320, -2068]$ |
\(y^2=x^3-x^2-320x-2068\) |
2.3.0.a.1, 56.6.0.a.1, 260.6.0.?, 3640.12.0.? |
$[(-83/3, 100/3)]$ |
| 3640.j2 |
3640i1 |
3640.j |
3640i |
$2$ |
$2$ |
\( 2^{3} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{10} \cdot 5 \cdot 7^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3640$ |
$12$ |
$0$ |
$2.127888947$ |
$1$ |
|
$3$ |
$640$ |
$-0.054868$ |
$7086244/3185$ |
$0.85874$ |
$2.76901$ |
$[0, -1, 0, -40, 60]$ |
\(y^2=x^3-x^2-40x+60\) |
2.3.0.a.1, 56.6.0.d.1, 130.6.0.?, 3640.12.0.? |
$[(-3, 12)]$ |
