| 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 |
| 37830.bd1 |
37830z2 |
37830.bd |
37830z |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 97 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{7} \cdot 97^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$176540$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$7990528$ |
$3.311733$ |
$-3049367333151487003072932241/912595054886227747515780$ |
$1.07845$ |
$6.04330$ |
$[1, 0, 0, -30210785, -78726061395]$ |
\(y^2+xy=x^3-30210785x-78726061395\) |
7.48.0-7.a.2.2, 25220.2.0.?, 176540.96.2.? |
$[]$ |
| 113490.i1 |
113490b2 |
113490.i |
113490b |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 97 \) |
\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 13^{7} \cdot 97^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$529620$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$63924224$ |
$3.861042$ |
$-3049367333151487003072932241/912595054886227747515780$ |
$1.07845$ |
$6.03921$ |
$[1, -1, 0, -271897065, 2125603657665]$ |
\(y^2+xy=x^3-x^2-271897065x+2125603657665\) |
7.24.0.a.2, 21.48.0-7.a.2.2, 25220.2.0.?, 176540.48.2.?, 529620.96.2.? |
$[]$ |
| 189150.f1 |
189150cs2 |
189150.f |
189150cs |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 97 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{7} \cdot 13^{7} \cdot 97^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$176540$ |
$96$ |
$2$ |
$0.388198056$ |
$1$ |
|
$2$ |
$191772672$ |
$4.116455$ |
$-3049367333151487003072932241/912595054886227747515780$ |
$1.07845$ |
$6.03756$ |
$[1, 1, 0, -755269625, -9840757674375]$ |
\(y^2+xy=x^3+x^2-755269625x-9840757674375\) |
7.24.0.a.2, 35.48.0-7.a.2.1, 25220.2.0.?, 35308.48.0.?, 176540.96.2.? |
$[(62705, 13729310)]$ |
| 302640.y1 |
302640y2 |
302640.y |
302640y |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 97 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5 \cdot 13^{7} \cdot 97^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$176540$ |
$96$ |
$2$ |
$39.91312725$ |
$1$ |
|
$0$ |
$191772672$ |
$4.004883$ |
$-3049367333151487003072932241/912595054886227747515780$ |
$1.07845$ |
$5.70663$ |
$[0, -1, 0, -483372560, 5038467929280]$ |
\(y^2=x^3-x^2-483372560x+5038467929280\) |
7.24.0.a.2, 28.48.0-7.a.2.1, 25220.2.0.?, 88270.48.0.?, 176540.96.2.? |
$[(331727734753640981/3066226, 162840309034612796659563075/3066226)]$ |
| 491790.w1 |
491790w2 |
491790.w |
491790w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 97 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 13^{13} \cdot 97^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$176540$ |
$96$ |
$2$ |
$9.502223040$ |
$1$ |
|
$2$ |
$1342408704$ |
$4.594208$ |
$-3049367333151487003072932241/912595054886227747515780$ |
$1.07845$ |
$6.03483$ |
$[1, 0, 1, -5105622669, -172956051262148]$ |
\(y^2+xy+y=x^3-5105622669x-172956051262148\) |
7.24.0.a.2, 91.48.0.?, 13580.48.0.?, 25220.2.0.?, 176540.96.2.? |
$[(203113, 84570992)]$ |
