| 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 |
| 18354.p6 |
18354t1 |
18354.p |
18354t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7 \cdot 19^{4} \cdot 23^{8} \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$2576$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$4042752$ |
$3.387875$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.51514$ |
$[1, 1, 1, -10025014, -89725079245]$ |
\(y^2+xy+y=x^3+x^2-10025014x-89725079245\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[]$ |
| 55062.o6 |
55062k1 |
55062.o |
55062k |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{16} \cdot 3^{12} \cdot 7 \cdot 19^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$18.66324430$ |
$1$ |
|
$1$ |
$32342016$ |
$3.937183$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.46330$ |
$[1, -1, 0, -90225126, 2422486914484]$ |
\(y^2+xy=x^3-x^2-90225126x+2422486914484\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[(15597556732/597, 1925493829200938/597)]$ |
| 128478.cu6 |
128478cq1 |
128478.cu |
128478cq |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7^{7} \cdot 19^{4} \cdot 23^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.165 |
2B |
$2576$ |
$192$ |
$1$ |
$1.687837157$ |
$1$ |
|
$9$ |
$194052096$ |
$4.360832$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.42993$ |
$[1, 0, 0, -491225687, 30774228503913]$ |
\(y^2+xy=x^3-491225687x+30774228503913\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.8, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[(37078, 7952341)]$ |
| 146832.ba6 |
146832d1 |
146832.ba |
146832d |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{28} \cdot 3^{6} \cdot 7 \cdot 19^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.176 |
2B |
$2576$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$97026048$ |
$4.081024$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.07553$ |
$[0, 1, 0, -160400224, 5742084271220]$ |
\(y^2=x^3+x^2-160400224x+5742084271220\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$ |
$[]$ |
| 348726.o6 |
348726o1 |
348726.o |
348726o |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 7 \cdot 19^{10} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$48944$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1455390720$ |
$4.860092$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.39629$ |
$[1, 0, 1, -3619030062, 615395366299744]$ |
\(y^2+xy+y=x^3-3619030062x+615395366299744\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 385434.bb6 |
385434bb1 |
385434.bb |
385434bb |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \cdot 23 \) |
\( - 2^{16} \cdot 3^{12} \cdot 7^{7} \cdot 19^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$32.51578751$ |
$1$ |
|
$1$ |
$1552416768$ |
$4.910133$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.39321$ |
$[1, -1, 0, -4421031183, -830904169605651]$ |
\(y^2+xy=x^3-x^2-4421031183x-830904169605651\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[(4407859813084029/42131, 292439610310691581644411/42131)]$ |
| 422142.cw6 |
422142cw1 |
422142.cw |
422142cw |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 19 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 7 \cdot 19^{4} \cdot 23^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.100 |
2B |
$2576$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2134573056$ |
$4.955620$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.39044$ |
$[1, 1, 1, -5303232417, 1091632006847583]$ |
\(y^2+xy+y=x^3+x^2-5303232417x+1091632006847583\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0-8.bb.1.6, $\ldots$ |
$[]$ |
| 440496.db6 |
440496db1 |
440496.db |
440496db |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{28} \cdot 3^{12} \cdot 7 \cdot 19^{4} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$29.49505675$ |
$1$ |
|
$1$ |
$776208384$ |
$4.630325$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$6.06915$ |
$[0, 0, 0, -1443602019, -155037718924958]$ |
\(y^2=x^3-1443602019x-155037718924958\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
$[(7080776559029279/334159, 108209163131571983424210/334159)]$ |
| 458850.cj6 |
458850cj1 |
458850.cj |
458850cj |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19 \cdot 23 \) |
\( - 2^{16} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 19^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$12880$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$517472256$ |
$4.192596$ |
$-111423982835049208609221217/3413049530977153233911808$ |
$1.03515$ |
$5.64721$ |
$[1, 0, 1, -250625351, -11215133654902]$ |
\(y^2+xy+y=x^3-250625351x-11215133654902\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
