| 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 |
| 10470.d1 |
10470d1 |
10470.d |
10470d |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{7} \cdot 349 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$293160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$38808$ |
$1.406019$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.73052$ |
$1$ |
$[1, 0, 0, -45435, 3726225]$ |
\(y^2+xy=x^3-45435x+3726225\) |
7.48.0-7.a.1.2, 41880.2.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 31410.b1 |
31410b1 |
31410.b |
31410b |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{7} \cdot 3^{13} \cdot 5^{7} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$310464$ |
$1.955326$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.86521$ |
$1$ |
$[1, -1, 0, -408915, -100608075]$ |
\(y^2+xy=x^3-x^2-408915x-100608075\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 41880.2.0.?, 97720.48.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 52350.c1 |
52350a1 |
52350.c |
52350a |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 349 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{13} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$2.895359928$ |
$1$ |
|
$2$ |
$931392$ |
$2.210739$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.91856$ |
$1$ |
$[1, 1, 0, -1135875, 465778125]$ |
\(y^2+xy=x^3+x^2-1135875x+465778125\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 41880.2.0.?, 58632.48.0.?, 293160.96.2.? |
$[(-775, 30075)]$ |
$1$ |
| 83760.i1 |
83760n1 |
83760.i |
83760n |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{7} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$2.509528868$ |
$1$ |
|
$2$ |
$931392$ |
$2.099167$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.59651$ |
$1$ |
$[0, -1, 0, -726960, -238478400]$ |
\(y^2=x^3-x^2-726960x-238478400\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 41880.2.0.?, 293160.96.2.? |
$[(2120, 88000)]$ |
$1$ |
| 157050.v1 |
157050k1 |
157050.v |
157050k |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 349 \) |
\( - 2^{7} \cdot 3^{13} \cdot 5^{13} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$4.890010475$ |
$1$ |
|
$2$ |
$7451136$ |
$2.760044$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$5.01786$ |
$1$ |
$[1, -1, 1, -10222880, -12586232253]$ |
\(y^2+xy+y=x^3-x^2-10222880x-12586232253\) |
7.24.0.a.1, 105.48.0.?, 19544.48.0.?, 41880.2.0.?, 293160.96.2.? |
$[(22859, 3408795)]$ |
$1$ |
| 251280.j1 |
251280j1 |
251280.j |
251280j |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{7} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$2.949127028$ |
$1$ |
|
$2$ |
$7451136$ |
$2.648472$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.72052$ |
$1$ |
$[0, 0, 0, -6542643, 6445459442]$ |
\(y^2=x^3-6542643x+6445459442\) |
7.24.0.a.1, 84.48.0.?, 41880.2.0.?, 97720.48.0.?, 293160.96.2.? |
$[(1639, 11178)]$ |
$1$ |
| 335040.n1 |
335040n1 |
335040.n |
335040n |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{25} \cdot 3^{7} \cdot 5^{7} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$7451136$ |
$2.445740$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.42254$ |
$1$ |
$[0, -1, 0, -2907841, 1910735041]$ |
\(y^2=x^3-x^2-2907841x+1910735041\) |
7.24.0.a.1, 56.48.0-7.a.1.1, 41880.2.0.?, 73290.48.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 335040.bk1 |
335040bk1 |
335040.bk |
335040bk |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{25} \cdot 3^{7} \cdot 5^{7} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$7451136$ |
$2.445740$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.42254$ |
$1$ |
$[0, 1, 0, -2907841, -1910735041]$ |
\(y^2=x^3+x^2-2907841x-1910735041\) |
7.24.0.a.1, 56.48.0-7.a.1.2, 41880.2.0.?, 146580.48.0.?, 293160.96.2.? |
$[ ]$ |
$1$ |
| 418800.bv1 |
418800bv1 |
418800.bv |
418800bv |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 349 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{13} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$5.563786278$ |
$1$ |
|
$2$ |
$22353408$ |
$2.903885$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.77101$ |
$1$ |
$[0, 1, 0, -18174008, -29846148012]$ |
\(y^2=x^3+x^2-18174008x-29846148012\) |
7.24.0.a.1, 140.48.0.?, 41880.2.0.?, 58632.48.0.?, 293160.96.2.? |
$[(109348, 36131250)]$ |
$1$ |
