| 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 |
| 4554.h1 |
4554a2 |
4554.h |
4554a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.550122$ |
$-170953875/244904$ |
$0.84958$ |
$3.57206$ |
$[1, -1, 0, -312, -3880]$ |
\(y^2+xy=x^3-x^2-312x-3880\) |
3.8.0-3.a.1.1, 6072.16.0.? |
$[]$ |
| 4554.z1 |
4554u1 |
4554.z |
4554u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6072$ |
$16$ |
$0$ |
$1.243616354$ |
$1$ |
|
$6$ |
$864$ |
$0.000816$ |
$-170953875/244904$ |
$0.84958$ |
$2.78955$ |
$[1, -1, 1, -35, 155]$ |
\(y^2+xy+y=x^3-x^2-35x+155\) |
3.8.0-3.a.1.2, 6072.16.0.? |
$[(-3, 16)]$ |
| 36432.bd1 |
36432s1 |
36432.bd |
36432s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1.511048504$ |
$1$ |
|
$2$ |
$20736$ |
$0.693963$ |
$-170953875/244904$ |
$0.84958$ |
$3.02919$ |
$[0, 0, 0, -555, -9382]$ |
\(y^2=x^3-555x-9382\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 6072.16.0.? |
$[(37, 144)]$ |
| 36432.be1 |
36432y2 |
36432.be |
36432y |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{15} \cdot 3^{9} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$0.867649221$ |
$1$ |
|
$4$ |
$62208$ |
$1.243269$ |
$-170953875/244904$ |
$0.84958$ |
$3.65678$ |
$[0, 0, 0, -4995, 253314]$ |
\(y^2=x^3-4995x+253314\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 6072.16.0.? |
$[(-57, 594)]$ |
| 50094.q1 |
50094a1 |
50094.q |
50094a |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.199764$ |
$-170953875/244904$ |
$0.84958$ |
$3.50093$ |
$[1, -1, 0, -4197, -194067]$ |
\(y^2+xy=x^3-x^2-4197x-194067\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 552.8.0.?, 6072.16.0.? |
$[]$ |
| 50094.by1 |
50094bm2 |
50094.by |
50094bm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$1.749069$ |
$-170953875/244904$ |
$0.84958$ |
$4.11005$ |
$[1, -1, 1, -37775, 5277583]$ |
\(y^2+xy+y=x^3-x^2-37775x+5277583\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 552.8.0.?, 6072.16.0.? |
$[]$ |
| 104742.q1 |
104742e2 |
104742.q |
104742e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$0.775416346$ |
$1$ |
|
$4$ |
$1368576$ |
$2.117870$ |
$-170953875/244904$ |
$0.84958$ |
$4.23065$ |
$[1, -1, 0, -165147, 48198653]$ |
\(y^2+xy=x^3-x^2-165147x+48198653\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 264.8.0.?, 6072.16.0.? |
$[(-17, 7150)]$ |
| 104742.ca1 |
104742be1 |
104742.ca |
104742be |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$5.118536463$ |
$1$ |
|
$0$ |
$456192$ |
$1.568563$ |
$-170953875/244904$ |
$0.84958$ |
$3.66040$ |
$[1, -1, 1, -18350, -1779019]$ |
\(y^2+xy+y=x^3-x^2-18350x-1779019\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 264.8.0.?, 6072.16.0.? |
$[(6303/2, 492011/2)]$ |
| 113850.cc1 |
113850l1 |
113850.cc |
113850l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30360$ |
$16$ |
$0$ |
$0.502330698$ |
$1$ |
|
$4$ |
$124416$ |
$0.805535$ |
$-170953875/244904$ |
$0.84958$ |
$2.84773$ |
$[1, -1, 0, -867, 18541]$ |
\(y^2+xy=x^3-x^2-867x+18541\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 6072.8.0.?, 30360.16.0.? |
$[(59, 383)]$ |
| 113850.es1 |
113850dd2 |
113850.es |
113850dd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 11^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$1.354841$ |
$-170953875/244904$ |
$0.84958$ |
$3.41390$ |
$[1, -1, 1, -7805, -492803]$ |
\(y^2+xy+y=x^3-x^2-7805x-492803\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 6072.8.0.?, 30360.16.0.? |
$[]$ |
| 145728.dx1 |
145728gr1 |
145728.dx |
145728gr |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$0.929867120$ |
$1$ |
|
$4$ |
$165888$ |
$1.040537$ |
$-170953875/244904$ |
$0.84958$ |
$3.02579$ |
$[0, 0, 0, -2220, 75056]$ |
\(y^2=x^3-2220x+75056\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1518.8.0.?, 6072.16.0.? |
$[(22, 192)]$ |
| 145728.dy1 |
145728gq2 |
145728.dy |
145728gq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{21} \cdot 3^{9} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$3.573469204$ |
$1$ |
|
$2$ |
$497664$ |
$1.589844$ |
$-170953875/244904$ |
$0.84958$ |
$3.58020$ |
$[0, 0, 0, -19980, -2026512]$ |
\(y^2=x^3-19980x-2026512\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1518.8.0.?, 6072.16.0.? |
$[(276, 3672)]$ |
| 145728.eb1 |
145728dl2 |
145728.eb |
145728dl |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{21} \cdot 3^{9} \cdot 11^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.589844$ |
$-170953875/244904$ |
$0.84958$ |
$3.58020$ |
$[0, 0, 0, -19980, 2026512]$ |
\(y^2=x^3-19980x+2026512\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 3036.8.0.?, 6072.16.0.? |
$[]$ |
| 145728.ec1 |
145728dk1 |
145728.ec |
145728dk |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 23 \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1.685284047$ |
$1$ |
|
$10$ |
$165888$ |
$1.040537$ |
$-170953875/244904$ |
$0.84958$ |
$3.02579$ |
$[0, 0, 0, -2220, -75056]$ |
\(y^2=x^3-2220x-75056\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 3036.8.0.?, 6072.16.0.? |
$[(170, 2112), (368, 6996)]$ |
| 223146.ba1 |
223146em2 |
223146.ba |
223146em |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{6} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$4.817630092$ |
$1$ |
|
$0$ |
$979776$ |
$1.523077$ |
$-170953875/244904$ |
$0.84958$ |
$3.39128$ |
$[1, -1, 0, -15297, 1361429]$ |
\(y^2+xy=x^3-x^2-15297x+1361429\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 6072.8.0.?, 42504.16.0.? |
$[(115/2, 7661/2)]$ |
| 223146.dw1 |
223146cb1 |
223146.dw |
223146cb |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 23 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{6} \cdot 11^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42504$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$326592$ |
$0.973771$ |
$-170953875/244904$ |
$0.84958$ |
$2.85605$ |
$[1, -1, 1, -1700, -49857]$ |
\(y^2+xy+y=x^3-x^2-1700x-49857\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 6072.8.0.?, 42504.16.0.? |
$[]$ |
| 400752.da1 |
400752da2 |
400752.da |
400752da |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{9} \cdot 11^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$2.189235595$ |
$1$ |
|
$2$ |
$7464960$ |
$2.442219$ |
$-170953875/244904$ |
$0.84958$ |
$4.09231$ |
$[0, 0, 0, -604395, -337160934]$ |
\(y^2=x^3-604395x-337160934\) |
3.4.0.a.1, 132.8.0.?, 552.8.0.?, 6072.16.0.? |
$[(20229, 2874960)]$ |
| 400752.db1 |
400752db1 |
400752.db |
400752db |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{9} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.892912$ |
$-170953875/244904$ |
$0.84958$ |
$3.58137$ |
$[0, 0, 0, -67155, 12487442]$ |
\(y^2=x^3-67155x+12487442\) |
3.4.0.a.1, 132.8.0.?, 552.8.0.?, 6072.16.0.? |
$[]$ |
