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 |
98.a1 |
98a6 |
98.a |
98a |
$6$ |
$18$ |
\( 2 \cdot 7^{2} \) |
\( 2^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$288$ |
$1.386057$ |
$2251439055699625/25088$ |
$1.06489$ |
$10.25652$ |
$[1, 1, 0, -133795, 18781197]$ |
\(y^2+xy=x^3+x^2-133795x+18781197\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
98.a2 |
98a5 |
98.a |
98a |
$6$ |
$18$ |
\( 2 \cdot 7^{2} \) |
\( - 2^{18} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$144$ |
$1.039482$ |
$-548347731625/1835008$ |
$1.02933$ |
$8.44311$ |
$[1, 1, 0, -8355, 291341]$ |
\(y^2+xy=x^3+x^2-8355x+291341\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
98.a3 |
98a4 |
98.a |
98a |
$6$ |
$18$ |
\( 2 \cdot 7^{2} \) |
\( 2^{3} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.836750$ |
$4956477625/941192$ |
$1.00821$ |
$7.41541$ |
$[1, 1, 0, -1740, 22184]$ |
\(y^2+xy=x^3+x^2-1740x+22184\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 12.72.0-6.a.1.3, $\ldots$ |
$[]$ |
98.a4 |
98a2 |
98.a |
98a |
$6$ |
$18$ |
\( 2 \cdot 7^{2} \) |
\( 2 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.287444$ |
$128787625/98$ |
$0.96763$ |
$6.61927$ |
$[1, 1, 0, -515, -4717]$ |
\(y^2+xy=x^3+x^2-515x-4717\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
98.a5 |
98a1 |
98.a |
98a |
$6$ |
$18$ |
\( 2 \cdot 7^{2} \) |
\( - 2^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$16$ |
$-0.059130$ |
$-15625/28$ |
$1.01712$ |
$4.96017$ |
$[1, 1, 0, -25, -111]$ |
\(y^2+xy=x^3+x^2-25x-111\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[]$ |
98.a6 |
98a3 |
98.a |
98a |
$6$ |
$18$ |
\( 2 \cdot 7^{2} \) |
\( - 2^{6} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$504$ |
$864$ |
$21$ |
$1$ |
$1$ |
|
$1$ |
$48$ |
$0.490176$ |
$9938375/21952$ |
$0.98695$ |
$6.28641$ |
$[1, 1, 0, 220, 2192]$ |
\(y^2+xy=x^3+x^2+220x+2192\) |
2.3.0.a.1, 3.12.0.a.1, 6.72.0-6.a.1.2, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[]$ |