| 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 |
| 3762.a2 |
3762b2 |
3762.a |
3762b |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{9} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$5016$ |
$16$ |
$0$ |
$0.333299788$ |
$1$ |
|
$4$ |
$4320$ |
$0.616070$ |
$165469149/603592$ |
$0.87816$ |
$3.70232$ |
$[1, -1, 0, 309, 4733]$ |
\(y^2+xy=x^3-x^2+309x+4733\) |
3.8.0-3.a.1.1, 5016.16.0.? |
$[(37, 238)]$ |
| 3762.q2 |
3762l1 |
3762.q |
3762l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{3} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$5016$ |
$16$ |
$0$ |
$2.407125185$ |
$1$ |
|
$4$ |
$1440$ |
$0.066763$ |
$165469149/603592$ |
$0.87816$ |
$2.90165$ |
$[1, -1, 1, 34, -187]$ |
\(y^2+xy+y=x^3-x^2+34x-187\) |
3.8.0-3.a.1.2, 5016.16.0.? |
$[(27, 127)]$ |
| 30096.f2 |
30096l2 |
30096.f |
30096l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{15} \cdot 3^{9} \cdot 11 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.309217$ |
$165469149/603592$ |
$0.87816$ |
$3.76235$ |
$[0, 0, 0, 4941, -307854]$ |
\(y^2=x^3+4941x-307854\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 5016.16.0.? |
$[]$ |
| 30096.bj2 |
30096p1 |
30096.bj |
30096p |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1.263548474$ |
$1$ |
|
$2$ |
$34560$ |
$0.759911$ |
$165469149/603592$ |
$0.87816$ |
$3.12314$ |
$[0, 0, 0, 549, 11402]$ |
\(y^2=x^3+549x+11402\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 5016.16.0.? |
$[(13, 144)]$ |
| 41382.bg2 |
41382c1 |
41382.bg |
41382c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{7} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.265711$ |
$165469149/603592$ |
$0.87816$ |
$3.60053$ |
$[1, -1, 0, 4152, 236088]$ |
\(y^2+xy=x^3-x^2+4152x+236088\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 456.8.0.?, 5016.16.0.? |
$[]$ |
| 41382.bn2 |
41382bl2 |
41382.bn |
41382bl |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{7} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$3.826636574$ |
$1$ |
|
$2$ |
$518400$ |
$1.815018$ |
$165469149/603592$ |
$0.87816$ |
$4.22060$ |
$[1, -1, 1, 37366, -6411743]$ |
\(y^2+xy+y=x^3-x^2+37366x-6411743\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 456.8.0.?, 5016.16.0.? |
$[(4051, 256067)]$ |
| 71478.ba2 |
71478d1 |
71478.ba |
71478d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.538982$ |
$165469149/603592$ |
$0.87816$ |
$3.71786$ |
$[1, -1, 0, 12387, 1218877]$ |
\(y^2+xy=x^3-x^2+12387x+1218877\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 264.8.0.?, 5016.16.0.? |
$[]$ |
| 71478.bj2 |
71478bo2 |
71478.bj |
71478bo |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1555200$ |
$2.088287$ |
$165469149/603592$ |
$0.87816$ |
$4.30761$ |
$[1, -1, 1, 111481, -33021161]$ |
\(y^2+xy+y=x^3-x^2+111481x-33021161\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 264.8.0.?, 5016.16.0.? |
$[]$ |
| 94050.cd2 |
94050c1 |
94050.cd |
94050c |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25080$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$0.871482$ |
$165469149/603592$ |
$0.87816$ |
$2.92930$ |
$[1, -1, 0, 858, -22484]$ |
\(y^2+xy=x^3-x^2+858x-22484\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 5016.8.0.?, 25080.16.0.? |
$[]$ |
| 94050.eh2 |
94050cm2 |
94050.eh |
94050cm |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 11 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$25080$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$466560$ |
$1.420788$ |
$165469149/603592$ |
$0.87816$ |
$3.50491$ |
$[1, -1, 1, 7720, 599347]$ |
\(y^2+xy+y=x^3-x^2+7720x+599347\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 5016.8.0.?, 25080.16.0.? |
$[]$ |
| 120384.d2 |
120384g1 |
120384.d |
120384g |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 3^{3} \cdot 11 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.106483$ |
$165469149/603592$ |
$0.87816$ |
$3.10854$ |
$[0, 0, 0, 2196, -91216]$ |
\(y^2=x^3+2196x-91216\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 1254.8.0.?, 5016.16.0.? |
$[]$ |
| 120384.j2 |
120384ce1 |
120384.j |
120384ce |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 3^{3} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1.046010225$ |
$1$ |
|
$2$ |
$276480$ |
$1.106483$ |
$165469149/603592$ |
$0.87816$ |
$3.10854$ |
$[0, 0, 0, 2196, 91216]$ |
\(y^2=x^3+2196x+91216\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 2508.8.0.?, 5016.16.0.? |
$[(-16, 228)]$ |
| 120384.dm2 |
120384b2 |
120384.dm |
120384b |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 3^{9} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$3.296494883$ |
$1$ |
|
$2$ |
$829440$ |
$1.655790$ |
$165469149/603592$ |
$0.87816$ |
$3.67201$ |
$[0, 0, 0, 19764, 2462832]$ |
\(y^2=x^3+19764x+2462832\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 1254.8.0.?, 5016.16.0.? |
$[(238, 4544)]$ |
| 120384.dx2 |
120384cl2 |
120384.dx |
120384cl |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 19 \) |
\( - 2^{21} \cdot 3^{9} \cdot 11 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.655790$ |
$165469149/603592$ |
$0.87816$ |
$3.67201$ |
$[0, 0, 0, 19764, -2462832]$ |
\(y^2=x^3+19764x-2462832\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 2508.8.0.?, 5016.16.0.? |
$[]$ |
| 184338.cp2 |
184338ew2 |
184338.cp |
184338ew |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{6} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$35112$ |
$16$ |
$0$ |
$8.053752109$ |
$1$ |
|
$0$ |
$1244160$ |
$1.589025$ |
$165469149/603592$ |
$0.87816$ |
$3.47689$ |
$[1, -1, 0, 15132, -1653688]$ |
\(y^2+xy=x^3-x^2+15132x-1653688\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 5016.8.0.?, 35112.16.0.? |
$[(68203/22, 18480895/22)]$ |
| 184338.de2 |
184338bs1 |
184338.de |
184338bs |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{6} \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$35112$ |
$16$ |
$0$ |
$1.154368419$ |
$1$ |
|
$4$ |
$414720$ |
$1.039719$ |
$165469149/603592$ |
$0.87816$ |
$2.93322$ |
$[1, -1, 1, 1681, 60687]$ |
\(y^2+xy+y=x^3-x^2+1681x+60687\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 5016.8.0.?, 35112.16.0.? |
$[(-19, 156)]$ |
| 331056.k2 |
331056k2 |
331056.k |
331056k |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{9} \cdot 11^{7} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$0.758256867$ |
$1$ |
|
$16$ |
$12441600$ |
$2.508163$ |
$165469149/603592$ |
$0.87816$ |
$4.18451$ |
$[0, 0, 0, 597861, 409753674]$ |
\(y^2=x^3+597861x+409753674\) |
3.4.0.a.1, 132.8.0.?, 456.8.0.?, 5016.16.0.? |
$[(781, 36784), (-435, 8208)]$ |
| 331056.ew2 |
331056ew1 |
331056.ew |
331056ew |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{3} \cdot 11^{7} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5016$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4147200$ |
$1.958858$ |
$165469149/603592$ |
$0.87816$ |
$3.66589$ |
$[0, 0, 0, 66429, -15176062]$ |
\(y^2=x^3+66429x-15176062\) |
3.4.0.a.1, 132.8.0.?, 456.8.0.?, 5016.16.0.? |
$[]$ |
