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 |
20510.c2 |
20510e1 |
20510.c |
20510e |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{7} \cdot 293 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$82040$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$395136$ |
$1.631819$ |
$97487796040631919/2412980990000000$ |
$0.96304$ |
$4.31586$ |
$[1, -1, 1, 9588, 2333199]$ |
\(y^2+xy+y=x^3-x^2+9588x+2333199\) |
7.48.0-7.a.1.2, 82040.96.2.? |
$[]$ |
102550.q2 |
102550g1 |
102550.q |
102550g |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 293 \) |
\( - 2^{7} \cdot 5^{13} \cdot 7^{7} \cdot 293 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$82040$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9483264$ |
$2.436539$ |
$97487796040631919/2412980990000000$ |
$0.96304$ |
$4.55078$ |
$[1, -1, 0, 239708, 291889616]$ |
\(y^2+xy=x^3-x^2+239708x+291889616\) |
7.24.0.a.1, 35.48.0-7.a.1.1, 16408.48.0.?, 82040.96.2.? |
$[]$ |
143570.t2 |
143570j1 |
143570.t |
143570j |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 293 \) |
\( - 2^{7} \cdot 5^{7} \cdot 7^{13} \cdot 293 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.48.0.4 |
7B.1.6 |
$82040$ |
$96$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$18966528$ |
$2.604774$ |
$97487796040631919/2412980990000000$ |
$0.96304$ |
$4.59184$ |
$[1, -1, 1, 469827, -801227003]$ |
\(y^2+xy+y=x^3-x^2+469827x-801227003\) |
7.48.0-7.a.1.1, 82040.96.2.? |
$[]$ |
164080.n2 |
164080j1 |
164080.n |
164080j |
$2$ |
$7$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 293 \) |
\( - 2^{19} \cdot 5^{7} \cdot 7^{7} \cdot 293 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$82040$ |
$96$ |
$2$ |
$5.090852715$ |
$1$ |
|
$0$ |
$9483264$ |
$2.324966$ |
$97487796040631919/2412980990000000$ |
$0.96304$ |
$4.26116$ |
$[0, 0, 0, 153413, -149478166]$ |
\(y^2=x^3+153413x-149478166\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 82040.96.2.? |
$[(5077/3, 291520/3)]$ |
184590.f2 |
184590q1 |
184590.f |
184590q |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 293 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{7} \cdot 7^{7} \cdot 293 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$246120$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$5531904$ |
$2.181126$ |
$97487796040631919/2412980990000000$ |
$0.96304$ |
$4.07742$ |
$[1, -1, 0, 86295, -63082675]$ |
\(y^2+xy=x^3-x^2+86295x-63082675\) |
7.24.0.a.1, 21.48.0-7.a.1.2, 82040.48.2.?, 246120.96.2.? |
$[]$ |