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.a1 |
20510b2 |
20510.a |
20510b |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2 \cdot 5^{2} \cdot 7^{3} \cdot 293^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$82040$ |
$12$ |
$0$ |
$5.473537666$ |
$1$ |
|
$0$ |
$13824$ |
$0.743374$ |
$5552849431422441/1472310350$ |
$0.89452$ |
$3.65135$ |
$[1, -1, 0, -3689, -85305]$ |
\(y^2+xy=x^3-x^2-3689x-85305\) |
2.3.0.a.1, 56.6.0.a.1, 5860.6.0.?, 82040.12.0.? |
$[(-861/5, 2427/5)]$ |
20510.a2 |
20510b1 |
20510.a |
20510b |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{2} \cdot 5 \cdot 7^{6} \cdot 293 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$82040$ |
$12$ |
$0$ |
$2.736768833$ |
$1$ |
|
$3$ |
$6912$ |
$0.396801$ |
$1925599082121/689423140$ |
$0.87306$ |
$2.84895$ |
$[1, -1, 0, -259, -927]$ |
\(y^2+xy=x^3-x^2-259x-927\) |
2.3.0.a.1, 56.6.0.d.1, 2930.6.0.?, 82040.12.0.? |
$[(-7, 26)]$ |
20510.b1 |
20510a2 |
20510.b |
20510a |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{12} \cdot 5^{15} \cdot 7^{3} \cdot 293 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$123060$ |
$16$ |
$0$ |
$3.259049849$ |
$1$ |
|
$2$ |
$336960$ |
$2.359051$ |
$26744657491710624461689/12562375000000000000$ |
$0.97021$ |
$5.20116$ |
$[1, 0, 1, -623024, 82090366]$ |
\(y^2+xy+y=x^3-623024x+82090366\) |
3.8.0-3.a.1.1, 41020.2.0.?, 123060.16.0.? |
$[(121, 2851)]$ |
20510.b2 |
20510a1 |
20510.b |
20510a |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{4} \cdot 5^{5} \cdot 7 \cdot 293^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$123060$ |
$16$ |
$0$ |
$9.777149547$ |
$1$ |
|
$2$ |
$112320$ |
$1.809746$ |
$15461341616731869233929/8803814950000$ |
$0.95314$ |
$5.14597$ |
$[1, 0, 1, -519009, 143872932]$ |
\(y^2+xy+y=x^3-519009x+143872932\) |
3.8.0-3.a.1.2, 41020.2.0.?, 123060.16.0.? |
$[(568767/37, -9992598/37)]$ |
20510.c1 |
20510e2 |
20510.c |
20510e |
$2$ |
$7$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( - 2 \cdot 5 \cdot 7 \cdot 293^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$82040$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$2765952$ |
$2.604774$ |
$-18864891308791949569351281/12976912684820654990$ |
$0.99586$ |
$5.86187$ |
$[1, -1, 1, -5545962, -5028652761]$ |
\(y^2+xy+y=x^3-x^2-5545962x-5028652761\) |
7.48.0-7.a.2.2, 82040.96.2.? |
$[]$ |
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.? |
$[]$ |
20510.d1 |
20510c1 |
20510.d |
20510c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( - 2 \cdot 5^{3} \cdot 7 \cdot 293 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$82040$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$-0.218685$ |
$371694959/512750$ |
$0.74553$ |
$2.02025$ |
$[1, 0, 0, 15, -25]$ |
\(y^2+xy=x^3+15x-25\) |
82040.2.0.? |
$[]$ |
20510.e1 |
20510f1 |
20510.e |
20510f |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{8} \cdot 5 \cdot 7^{5} \cdot 293 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$41020$ |
$2$ |
$0$ |
$0.252662328$ |
$1$ |
|
$4$ |
$14720$ |
$0.596094$ |
$31080575499121/6303297280$ |
$0.84650$ |
$3.12908$ |
$[1, 0, 0, -655, -5255]$ |
\(y^2+xy=x^3-655x-5255\) |
41020.2.0.? |
$[(-18, 37)]$ |
20510.f1 |
20510d1 |
20510.f |
20510d |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 293 \) |
\( 2^{10} \cdot 5 \cdot 7 \cdot 293 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$41020$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15840$ |
$0.305472$ |
$23494409378721/10501120$ |
$0.85144$ |
$3.10090$ |
$[1, -1, 1, -597, -5459]$ |
\(y^2+xy+y=x^3-x^2-597x-5459\) |
41020.2.0.? |
$[]$ |