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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
10002.a1 |
10002c1 |
10002.a |
10002c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 1667 \) |
\( 2^{6} \cdot 3 \cdot 1667 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$-0.070807$ |
$115714886617/320064$ |
$[1, 1, 0, -101, -435]$ |
\(y^2+xy=x^3+x^2-101x-435\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[]$ |
30006.e1 |
30006d1 |
30006.e |
30006d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 1667 \) |
\( 2^{6} \cdot 3^{7} \cdot 1667 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$0.839545947$ |
$1$ |
|
$7$ |
$12288$ |
$0.478499$ |
$115714886617/320064$ |
$[1, -1, 1, -914, 10833]$ |
\(y^2+xy+y=x^3-x^2-914x+10833\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[(11, 39)]$ |
80016.d1 |
80016c1 |
80016.d |
80016c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 1667 \) |
\( 2^{18} \cdot 3 \cdot 1667 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$4.710029438$ |
$1$ |
|
$1$ |
$36864$ |
$0.622340$ |
$115714886617/320064$ |
$[0, 1, 0, -1624, 24596]$ |
\(y^2=x^3+x^2-1624x+24596\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[(100/3, 2422/3)]$ |
240048.g1 |
240048g1 |
240048.g |
240048g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 1667 \) |
\( 2^{18} \cdot 3^{7} \cdot 1667 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.171646$ |
$115714886617/320064$ |
$[0, 0, 0, -14619, -678710]$ |
\(y^2=x^3-14619x-678710\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[]$ |
250050.bt1 |
250050bt1 |
250050.bt |
250050bt |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 1667 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 1667 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$4.511401692$ |
$1$ |
|
$3$ |
$196608$ |
$0.733912$ |
$115714886617/320064$ |
$[1, 0, 0, -2538, -49308]$ |
\(y^2+xy=x^3-2538x-49308\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[(782, 21434)]$ |
320064.e1 |
320064e1 |
320064.e |
320064e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 1667 \) |
\( 2^{24} \cdot 3 \cdot 1667 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$9.531271525$ |
$1$ |
|
$1$ |
$294912$ |
$0.968914$ |
$115714886617/320064$ |
$[0, -1, 0, -6497, 203265]$ |
\(y^2=x^3-x^2-6497x+203265\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[(-9045/17, 3008460/17)]$ |
320064.m1 |
320064m1 |
320064.m |
320064m |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 1667 \) |
\( 2^{24} \cdot 3 \cdot 1667 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$294912$ |
$0.968914$ |
$115714886617/320064$ |
$[0, 1, 0, -6497, -203265]$ |
\(y^2=x^3+x^2-6497x-203265\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[]$ |
490098.o1 |
490098o1 |
490098.o |
490098o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 1667 \) |
\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 1667 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$40008$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$0.902148$ |
$115714886617/320064$ |
$[1, 0, 1, -4975, 134306]$ |
\(y^2+xy+y=x^3-4975x+134306\) |
2.3.0.a.1, 8.6.0.d.1, 10002.6.0.?, 40008.12.0.? |
$[]$ |