| 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 |
| 11774.a1 |
11774d2 |
11774.a |
11774d |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{10} \cdot 7^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$580$ |
$48$ |
$1$ |
$0.448987773$ |
$1$ |
|
$4$ |
$123200$ |
$2.078255$ |
$-414183515883649725221/50176$ |
$1.05537$ |
$6.14219$ |
$[1, 1, 0, -4503543, 3676698901]$ |
\(y^2+xy=x^3+x^2-4503543x+3676698901\) |
5.6.0.a.1, 20.12.0.p.2, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[(1278, 2609)]$ |
| 11774.a2 |
11774d1 |
11774.a |
11774d |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{2} \cdot 7^{10} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$580$ |
$48$ |
$1$ |
$0.089797554$ |
$1$ |
|
$8$ |
$24640$ |
$1.273537$ |
$-1018411856981/1129900996$ |
$0.99042$ |
$4.14159$ |
$[1, 1, 0, -6078, 309016]$ |
\(y^2+xy=x^3+x^2-6078x+309016\) |
5.6.0.a.1, 20.12.0.p.1, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[(466, 9714)]$ |
| 11774.b1 |
11774e1 |
11774.b |
11774e |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{7} \cdot 7^{2} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.341205206$ |
$1$ |
|
$0$ |
$48720$ |
$1.665504$ |
$-4317433/6272$ |
$0.85481$ |
$4.63771$ |
$[1, 1, 0, -26929, 3175637]$ |
\(y^2+xy=x^3+x^2-26929x+3175637\) |
8.2.0.a.1 |
$[(559/2, 11215/2)]$ |
| 11774.c1 |
11774b1 |
11774.c |
11774b |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.322496218$ |
$1$ |
|
$6$ |
$53760$ |
$1.618694$ |
$-117433042273/363776$ |
$0.89932$ |
$4.87518$ |
$[1, 0, 1, -85800, 9692022]$ |
\(y^2+xy+y=x^3-85800x+9692022\) |
116.2.0.? |
$[(12, 2937)]$ |
| 11774.d1 |
11774c1 |
11774.d |
11774c |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{3} \cdot 7 \cdot 29^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$13.70905308$ |
$1$ |
|
$2$ |
$31320$ |
$1.389143$ |
$-4317433/56$ |
$0.81709$ |
$4.50611$ |
$[1, 0, 1, -26930, 1717660]$ |
\(y^2+xy+y=x^3-26930x+1717660\) |
3.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(-118022/73, 594513808/73)]$ |
| 11774.d2 |
11774c2 |
11774.d |
11774c |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{9} \cdot 7^{3} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$4.569684363$ |
$1$ |
|
$2$ |
$93960$ |
$1.938450$ |
$189636887/175616$ |
$0.90374$ |
$4.90727$ |
$[1, 0, 1, 95015, 8741692]$ |
\(y^2+xy+y=x^3+95015x+8741692\) |
3.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(-40, 2228)]$ |
| 11774.e1 |
11774a1 |
11774.e |
11774a |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{37} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$28.01861997$ |
$1$ |
|
$0$ |
$84360$ |
$1.624697$ |
$-21195308337309457/962072674304$ |
$1.16918$ |
$4.73697$ |
$[1, 0, 1, -54422, -5079128]$ |
\(y^2+xy+y=x^3-54422x-5079128\) |
56.2.0.b.1 |
$[(1086468266290/53371, 799297842835596163/53371)]$ |
| 11774.f1 |
11774l2 |
11774.f |
11774l |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( 2^{8} \cdot 7^{10} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$2.157171256$ |
$1$ |
|
$4$ |
$1075200$ |
$3.023708$ |
$6684374974140996553/2097096248576$ |
$1.00277$ |
$6.77965$ |
$[1, 0, 0, -33004642, -72964106940]$ |
\(y^2+xy=x^3-33004642x-72964106940\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[(-3358, -36)]$ |
| 11774.f2 |
11774l1 |
11774.f |
11774l |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{16} \cdot 7^{5} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1.078585628$ |
$1$ |
|
$7$ |
$537600$ |
$2.677135$ |
$-1060490285861833/926330847232$ |
$0.97586$ |
$5.94446$ |
$[1, 0, 0, -1786722, -1456339388]$ |
\(y^2+xy=x^3-1786722x-1456339388\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[(3318, 169064)]$ |
| 11774.g1 |
11774i1 |
11774.g |
11774i |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{3} \cdot 7 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$0.420390123$ |
$1$ |
|
$4$ |
$1080$ |
$-0.294504$ |
$-4317433/56$ |
$0.81709$ |
$2.35073$ |
$[1, 1, 1, -32, 57]$ |
\(y^2+xy+y=x^3+x^2-32x+57\) |
3.4.0.a.1, 56.2.0.b.1, 87.8.0.?, 168.8.0.?, 4872.16.0.? |
$[(3, -1)]$ |
| 11774.g2 |
11774i2 |
11774.g |
11774i |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{9} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$0.140130041$ |
$1$ |
|
$8$ |
$3240$ |
$0.254802$ |
$189636887/175616$ |
$0.90374$ |
$2.75189$ |
$[1, 1, 1, 113, 405]$ |
\(y^2+xy+y=x^3+x^2+113x+405\) |
3.4.0.a.1, 56.2.0.b.1, 87.8.0.?, 168.8.0.?, 4872.16.0.? |
$[(11, 50)]$ |
| 11774.h1 |
11774j1 |
11774.h |
11774j |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{4} \cdot 7^{2} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$0.443147251$ |
$1$ |
|
$4$ |
$80640$ |
$1.760712$ |
$-338608873/19120976$ |
$0.94038$ |
$4.74042$ |
$[1, 1, 1, -12212, 5152197]$ |
\(y^2+xy+y=x^3+x^2-12212x+5152197\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 87.8.0.?, 116.2.0.?, 348.16.0.? |
$[(843, 23967)]$ |
| 11774.h2 |
11774j2 |
11774.h |
11774j |
$2$ |
$3$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{12} \cdot 7^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$0.147715750$ |
$1$ |
|
$8$ |
$241920$ |
$2.310017$ |
$245667233447/13974818816$ |
$0.98609$ |
$5.44172$ |
$[1, 1, 1, 109733, -137962455]$ |
\(y^2+xy+y=x^3+x^2+109733x-137962455\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 87.8.0.?, 116.2.0.?, 348.16.0.? |
$[(7571, 655558)]$ |
| 11774.i1 |
11774g1 |
11774.i |
11774g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{37} \cdot 7 \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$6.045436670$ |
$1$ |
|
$2$ |
$2446440$ |
$3.308346$ |
$-21195308337309457/962072674304$ |
$1.16918$ |
$6.89235$ |
$[1, 1, 1, -45768499, -123783309711]$ |
\(y^2+xy+y=x^3+x^2-45768499x-123783309711\) |
56.2.0.b.1 |
$[(9827, 607918)]$ |
| 11774.j1 |
11774f2 |
11774.j |
11774f |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( 2^{5} \cdot 7^{6} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$2.396732$ |
$13350003080765625/109178272$ |
$1.22373$ |
$6.11652$ |
$[1, -1, 1, -4156380, 3262542719]$ |
\(y^2+xy+y=x^3-x^2-4156380x+3262542719\) |
2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 11774.j2 |
11774f1 |
11774.j |
11774f |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{10} \cdot 7^{3} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1624$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$100800$ |
$2.050159$ |
$-3051779837625/295386112$ |
$1.14571$ |
$5.23864$ |
$[1, -1, 1, -254140, 53340543]$ |
\(y^2+xy+y=x^3-x^2-254140x+53340543\) |
2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.? |
$[]$ |
| 11774.k1 |
11774m2 |
11774.k |
11774m |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{10} \cdot 7^{2} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3572800$ |
$3.761902$ |
$-414183515883649725221/50176$ |
$1.05537$ |
$8.29757$ |
$[1, 0, 0, -3787480101, 89716459255937]$ |
\(y^2+xy=x^3-3787480101x+89716459255937\) |
5.6.0.a.1, 20.12.0.p.2, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[]$ |
| 11774.k2 |
11774m1 |
11774.k |
11774m |
$2$ |
$5$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{2} \cdot 7^{10} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$580$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$714560$ |
$2.957184$ |
$-1018411856981/1129900996$ |
$0.99042$ |
$6.29697$ |
$[1, 0, 0, -5112036, 7597933892]$ |
\(y^2+xy=x^3-5112036x+7597933892\) |
5.6.0.a.1, 20.12.0.p.1, 116.2.0.?, 145.24.0.?, 580.48.1.? |
$[]$ |
| 11774.l1 |
11774h1 |
11774.l |
11774h |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{7} \cdot 7^{2} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.290707112$ |
$1$ |
|
$4$ |
$1680$ |
$-0.018144$ |
$-4317433/6272$ |
$0.85481$ |
$2.48233$ |
$[1, 0, 0, -32, 128]$ |
\(y^2+xy=x^3-32x+128\) |
8.2.0.a.1 |
$[(-4, 16)]$ |
| 11774.m1 |
11774k6 |
11774.m |
11774k |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( 2^{9} \cdot 7^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$14616$ |
$864$ |
$21$ |
$8.535317637$ |
$1$ |
|
$0$ |
$145152$ |
$2.096748$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.92663$ |
$[1, 1, 1, -2296368, -1340356975]$ |
\(y^2+xy+y=x^3+x^2-2296368x-1340356975\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(393661/15, 1146571/15)]$ |
| 11774.m2 |
11774k5 |
11774.m |
11774k |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{18} \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$14616$ |
$864$ |
$21$ |
$4.267658818$ |
$1$ |
|
$1$ |
$72576$ |
$1.750175$ |
$-548347731625/1835008$ |
$1.02933$ |
$5.03963$ |
$[1, 1, 1, -143408, -21023087]$ |
\(y^2+xy+y=x^3+x^2-143408x-21023087\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(9733/3, 876847/3)]$ |
| 11774.m3 |
11774k4 |
11774.m |
11774k |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( 2^{3} \cdot 7^{6} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$14616$ |
$864$ |
$21$ |
$2.845105879$ |
$1$ |
|
$2$ |
$48384$ |
$1.547443$ |
$4956477625/941192$ |
$1.00821$ |
$4.53695$ |
$[1, 1, 1, -29873, -1641401]$ |
\(y^2+xy+y=x^3+x^2-29873x-1641401\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[(-79, 522)]$ |
| 11774.m4 |
11774k2 |
11774.m |
11774k |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( 2 \cdot 7^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$14616$ |
$864$ |
$21$ |
$8.535317637$ |
$1$ |
|
$0$ |
$16128$ |
$0.998137$ |
$128787625/98$ |
$0.96763$ |
$4.14753$ |
$[1, 1, 1, -8848, 316447]$ |
\(y^2+xy+y=x^3+x^2-8848x+316447\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(23263/22, 500957/22)]$ |
| 11774.m5 |
11774k1 |
11774.m |
11774k |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{2} \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$14616$ |
$864$ |
$21$ |
$4.267658818$ |
$1$ |
|
$1$ |
$8064$ |
$0.651563$ |
$-15625/28$ |
$1.01712$ |
$3.33601$ |
$[1, 1, 1, -438, 6959]$ |
\(y^2+xy+y=x^3+x^2-438x+6959\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(1917/4, 79393/4)]$ |
| 11774.m6 |
11774k3 |
11774.m |
11774k |
$6$ |
$18$ |
\( 2 \cdot 7 \cdot 29^{2} \) |
\( - 2^{6} \cdot 7^{3} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$14616$ |
$864$ |
$21$ |
$1.422552939$ |
$1$ |
|
$3$ |
$24192$ |
$1.200869$ |
$9938375/21952$ |
$0.98695$ |
$3.98471$ |
$[1, 1, 1, 3767, -147785]$ |
\(y^2+xy+y=x^3+x^2+3767x-147785\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[(1075, 34784)]$ |
