| 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 |
| 22386.v2 |
22386bb1 |
22386.v |
22386bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{39} \cdot 3^{9} \cdot 7^{3} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2184$ |
$16$ |
$0$ |
$1.162078648$ |
$1$ |
|
$12$ |
$3133728$ |
$3.189022$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$6.35182$ |
$[1, 0, 0, -33420517, -75619489279]$ |
\(y^2+xy=x^3-33420517x-75619489279\) |
3.8.0-3.a.1.2, 2184.16.0.? |
$[(7010, 182471)]$ |
| 67158.y2 |
67158y1 |
67158.y |
67158y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{39} \cdot 3^{15} \cdot 7^{3} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2184$ |
$16$ |
$0$ |
$4.071776749$ |
$1$ |
|
$2$ |
$25069824$ |
$3.738327$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$6.31704$ |
$[1, -1, 0, -300784653, 2041726210533]$ |
\(y^2+xy=x^3-x^2-300784653x+2041726210533\) |
3.8.0-3.a.1.1, 2184.16.0.? |
$[(48711, 10122960)]$ |
| 156702.cf2 |
156702br1 |
156702.cf |
156702br |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{39} \cdot 3^{9} \cdot 7^{9} \cdot 13 \cdot 41^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$150418944$ |
$4.161980$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$6.29459$ |
$[1, 1, 1, -1637605334, 25935847217363]$ |
\(y^2+xy+y=x^3+x^2-1637605334x+25935847217363\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 312.8.0.?, 2184.16.0.? |
$[]$ |
| 179088.b2 |
179088z1 |
179088.b |
179088z |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{51} \cdot 3^{9} \cdot 7^{3} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$11.33955222$ |
$1$ |
|
$0$ |
$75209472$ |
$3.882168$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$5.94750$ |
$[0, -1, 0, -534728272, 4839647313856]$ |
\(y^2=x^3-x^2-534728272x+4839647313856\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 2184.16.0.? |
$[(-13662/7, 766105418/7)]$ |
| 291018.bo2 |
291018bo1 |
291018.bo |
291018bo |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( - 2^{39} \cdot 3^{9} \cdot 7^{3} \cdot 13^{7} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$13.98108143$ |
$1$ |
|
$0$ |
$526466304$ |
$4.471497$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$6.28009$ |
$[1, 0, 1, -5648067377, -166130369878588]$ |
\(y^2+xy+y=x^3-5648067377x-166130369878588\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 168.8.0.?, 2184.16.0.? |
$[(246456870/19, 3842241367177/19)]$ |
| 470106.c2 |
470106c1 |
470106.c |
470106c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( - 2^{39} \cdot 3^{15} \cdot 7^{9} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2184$ |
$16$ |
$0$ |
$57.39856077$ |
$1$ |
|
$0$ |
$1203351552$ |
$4.711281$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$1.00950$ |
$6.26981$ |
$[1, -1, 0, -14738448006, -700282613316812]$ |
\(y^2+xy=x^3-x^2-14738448006x-700282613316812\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 312.8.0.?, 2184.16.0.? |
$[(125143802698857649206136799/23108467319, 1150630736576852835618245251336809404296/23108467319)]$ |
