| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 294438.a1 |
294438a1 |
294438.a |
294438a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{40} \cdot 3^{3} \cdot 31^{2} \cdot 1583 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$9498$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12552960$ |
$2.460880$ |
$78096331684561190978809/45161451649945829376$ |
$0.99624$ |
$4.18589$ |
$1$ |
$[1, 1, 0, -890503, 8393461]$ |
\(y^2+xy=x^3+x^2-890503x+8393461\) |
9498.2.0.? |
$[ ]$ |
$1$ |
| 294438.b1 |
294438b1 |
294438.b |
294438b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{2} \cdot 3^{3} \cdot 31^{5} \cdot 1583 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$588876$ |
$2$ |
$0$ |
$1.372359698$ |
$1$ |
|
$8$ |
$549120$ |
$1.124920$ |
$8655658478291161/4894554171564$ |
$0.88888$ |
$2.91412$ |
$1$ |
$[1, 1, 0, -4277, -18063]$ |
\(y^2+xy=x^3+x^2-4277x-18063\) |
588876.2.0.? |
$[(112, 905), (-17/2, 79/2)]$ |
$1$ |
| 294438.c1 |
294438c1 |
294438.c |
294438c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{8} \cdot 3^{5} \cdot 31^{2} \cdot 1583 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$9498$ |
$2$ |
$0$ |
$0.836490953$ |
$1$ |
|
$38$ |
$536320$ |
$0.797660$ |
$179186747254633/94634728704$ |
$0.84753$ |
$2.60620$ |
$1$ |
$[1, 0, 1, -1175, -4678]$ |
\(y^2+xy+y=x^3-1175x-4678\) |
9498.2.0.? |
$[(87, 700), (-9, 76), (39, 76)]$ |
$1$ |
| 294438.d1 |
294438d2 |
294438.d |
294438d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{18} \cdot 3 \cdot 31 \cdot 1583^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$588876$ |
$16$ |
$0$ |
$11.87542502$ |
$1$ |
|
$0$ |
$4250880$ |
$1.952517$ |
$197525495291289679513/96708715529109504$ |
$0.92355$ |
$3.71103$ |
$1$ |
$[1, 0, 1, -121330, 6372740]$ |
\(y^2+xy+y=x^3-121330x+6372740\) |
3.8.0-3.a.1.1, 588876.16.0.? |
$[(2573685/77, 2622582845/77)]$ |
$1$ |
| 294438.d2 |
294438d1 |
294438.d |
294438d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{6} \cdot 3^{3} \cdot 31^{3} \cdot 1583 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$588876$ |
$16$ |
$0$ |
$3.958475007$ |
$1$ |
|
$4$ |
$1416960$ |
$1.403210$ |
$108857731469231835433/81491016384$ |
$0.90393$ |
$3.66372$ |
$1$ |
$[1, 0, 1, -99475, 12067502]$ |
\(y^2+xy+y=x^3-99475x+12067502\) |
3.8.0-3.a.1.2, 588876.16.0.? |
$[(415, 6296)]$ |
$1$ |
| 294438.e1 |
294438e1 |
294438.e |
294438e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{6} \cdot 3^{9} \cdot 31 \cdot 1583 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$588876$ |
$2$ |
$0$ |
$0.505291932$ |
$1$ |
|
$16$ |
$613440$ |
$0.774558$ |
$195202842094729/61817846976$ |
$0.83057$ |
$2.61300$ |
$1$ |
$[1, 0, 1, -1209, 10780]$ |
\(y^2+xy+y=x^3-1209x+10780\) |
588876.2.0.? |
$[(35, 90), (8, 36)]$ |
$1$ |
| 294438.f1 |
294438f1 |
294438.f |
294438f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{2} \cdot 3 \cdot 31 \cdot 1583 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$588876$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$-0.137063$ |
$10779215329/588876$ |
$0.82669$ |
$1.83445$ |
$1$ |
$[1, 1, 1, -46, 95]$ |
\(y^2+xy+y=x^3+x^2-46x+95\) |
588876.2.0.? |
$[ ]$ |
$1$ |
| 294438.g1 |
294438g1 |
294438.g |
294438g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{4} \cdot 3 \cdot 31^{2} \cdot 1583 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$9498$ |
$2$ |
$0$ |
$4.677254924$ |
$1$ |
|
$0$ |
$649856$ |
$1.032318$ |
$3192737813858507473/73020624$ |
$0.93573$ |
$3.38347$ |
$1$ |
$[1, 0, 0, -30677, -2070639]$ |
\(y^2+xy=x^3-30677x-2070639\) |
9498.2.0.? |
$[(-8198/9, 37027/9)]$ |
$1$ |
| 294438.h1 |
294438h2 |
294438.h |
294438h |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{2} \cdot 3^{3} \cdot 31 \cdot 1583^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$4122132$ |
$96$ |
$2$ |
$57.83038000$ |
$1$ |
|
$0$ |
$1005884544$ |
$5.039574$ |
$13939357289517572926833783386157182185009/83397273661420954726097196$ |
$1.03139$ |
$7.34033$ |
$1$ |
$[1, 0, 0, -501386934491, -136649411373708603]$ |
\(y^2+xy=x^3-501386934491x-136649411373708603\) |
7.48.0-7.a.2.2, 588876.2.0.?, 4122132.96.2.? |
$[(-8129933117543578808486137961/141020001430, 575246009935759373260700877696564028003/141020001430)]$ |
$1$ |
| 294438.h2 |
294438h1 |
294438.h |
294438h |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 31 \cdot 1583 \) |
\( 2^{14} \cdot 3^{21} \cdot 31^{7} \cdot 1583 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$4122132$ |
$96$ |
$2$ |
$8.261482858$ |
$1$ |
|
$6$ |
$143697792$ |
$4.066620$ |
$40363823168204992312149665459569/7464127685965932538179403776$ |
$0.99629$ |
$5.77912$ |
$1$ |
$[1, 0, 0, -714643631, 6065661961017]$ |
\(y^2+xy=x^3-714643631x+6065661961017\) |
7.48.0-7.a.1.2, 588876.2.0.?, 4122132.96.2.? |
$[(-41009/2, 28114961/2)]$ |
$1$ |
