| 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 |
| 3146.f2 |
3146b1 |
3146.f |
3146b |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7392$ |
$1.254395$ |
$1890625/832$ |
$0.97154$ |
$4.77178$ |
$[1, 0, 1, -7626, -126084]$ |
\(y^2+xy+y=x^3-7626x-126084\) |
3.4.0.a.1, 26.2.0.a.1, 33.8.0-3.a.1.2, 78.8.0.?, 858.16.0.? |
$[ ]$ |
| 3146.p2 |
3146o1 |
3146.p |
3146o |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$78$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$672$ |
$0.055446$ |
$1890625/832$ |
$0.97154$ |
$2.98539$ |
$[1, 0, 0, -63, 89]$ |
\(y^2+xy=x^3-63x+89\) |
3.8.0-3.a.1.2, 26.2.0.a.1, 78.16.0.? |
$[ ]$ |
| 25168.l2 |
25168bm1 |
25168.l |
25168bm |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 11^{4} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1.839421418$ |
$1$ |
|
$10$ |
$16128$ |
$0.748593$ |
$1890625/832$ |
$0.97154$ |
$3.19360$ |
$[0, -1, 0, -1008, -5696]$ |
\(y^2=x^3-x^2-1008x-5696\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[(-24, 64), (40, 128)]$ |
| 25168.o2 |
25168y1 |
25168.o |
25168y |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 11^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$3.635938590$ |
$1$ |
|
$2$ |
$177408$ |
$1.947540$ |
$1890625/832$ |
$0.97154$ |
$4.61340$ |
$[0, -1, 0, -122008, 8069360]$ |
\(y^2=x^3-x^2-122008x+8069360\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(-116, 4544)]$ |
| 28314.q2 |
28314y1 |
28314.q |
28314y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$78$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$0.604753$ |
$1890625/832$ |
$0.97154$ |
$2.98852$ |
$[1, -1, 0, -567, -2403]$ |
\(y^2+xy=x^3-x^2-567x-2403\) |
3.8.0-3.a.1.1, 26.2.0.a.1, 78.16.0.? |
$[ ]$ |
| 28314.bp2 |
28314bq1 |
28314.bp |
28314bq |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221760$ |
$1.803699$ |
$1890625/832$ |
$0.97154$ |
$4.39202$ |
$[1, -1, 1, -68630, 3404261]$ |
\(y^2+xy+y=x^3-x^2-68630x+3404261\) |
3.4.0.a.1, 26.2.0.a.1, 33.8.0-3.a.1.1, 78.8.0.?, 858.16.0.? |
$[ ]$ |
| 40898.r2 |
40898h1 |
40898.r |
40898h |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 11^{4} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$78$ |
$16$ |
$0$ |
$1.679080545$ |
$1$ |
|
$10$ |
$112896$ |
$1.337921$ |
$1890625/832$ |
$0.97154$ |
$3.71356$ |
$[1, 0, 1, -10651, 206182]$ |
\(y^2+xy+y=x^3-10651x+206182\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 26.2.0.a.1, 39.8.0-3.a.1.1, 78.16.0.? |
$[(-25, 688), (407/2, 2969/2)]$ |
| 40898.bu2 |
40898bh1 |
40898.bu |
40898bh |
$2$ |
$3$ |
\( 2 \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 11^{10} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$6.473512391$ |
$1$ |
|
$2$ |
$1241856$ |
$2.536869$ |
$1890625/832$ |
$0.97154$ |
$5.06845$ |
$[1, 0, 0, -1288713, -275717287]$ |
\(y^2+xy=x^3-1288713x-275717287\) |
3.4.0.a.1, 26.2.0.a.1, 66.8.0-3.a.1.1, 78.8.0.?, 429.8.0.?, $\ldots$ |
$[(-476, 15401)]$ |
| 78650.j2 |
78650h1 |
78650.j |
78650h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 5^{6} \cdot 11^{4} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$0.575590405$ |
$1$ |
|
$16$ |
$96768$ |
$0.860166$ |
$1890625/832$ |
$0.97154$ |
$2.98956$ |
$[1, 1, 0, -1575, 11125]$ |
\(y^2+xy=x^3+x^2-1575x+11125\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 390.16.0.? |
$[(-5, 140), (6, 41)]$ |
| 78650.cf2 |
78650ck1 |
78650.cf |
78650ck |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 5^{6} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4290$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1064448$ |
$2.059113$ |
$1890625/832$ |
$0.97154$ |
$4.26586$ |
$[1, 1, 1, -190638, -15760469]$ |
\(y^2+xy+y=x^3+x^2-190638x-15760469\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 165.8.0.?, 4290.16.0.? |
$[ ]$ |
| 100672.bh2 |
100672bn1 |
100672.bh |
100672bn |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$11.46331340$ |
$1$ |
|
$0$ |
$1419264$ |
$2.294113$ |
$1890625/832$ |
$0.97154$ |
$4.41924$ |
$[0, -1, 0, -488033, -64066847]$ |
\(y^2=x^3-x^2-488033x-64066847\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 264.8.0.?, 3432.16.0.? |
$[(-40621/17, 6467660/17)]$ |
| 100672.bi2 |
100672o1 |
100672.bi |
100672o |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.095167$ |
$1890625/832$ |
$0.97154$ |
$3.17030$ |
$[0, -1, 0, -4033, 49601]$ |
\(y^2=x^3-x^2-4033x+49601\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 312.16.0.? |
$[ ]$ |
| 100672.db2 |
100672cm1 |
100672.db |
100672cm |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$312$ |
$16$ |
$0$ |
$1.811089547$ |
$1$ |
|
$2$ |
$129024$ |
$1.095167$ |
$1890625/832$ |
$0.97154$ |
$3.17030$ |
$[0, 1, 0, -4033, -49601]$ |
\(y^2=x^3+x^2-4033x-49601\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 26.2.0.a.1, 78.8.0.?, 312.16.0.? |
$[(-15, 88)]$ |
| 100672.de2 |
100672dl1 |
100672.de |
100672dl |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 13 \) |
\( 2^{24} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1419264$ |
$2.294113$ |
$1890625/832$ |
$0.97154$ |
$4.41924$ |
$[0, 1, 0, -488033, 64066847]$ |
\(y^2=x^3+x^2-488033x+64066847\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 264.8.0.?, 3432.16.0.? |
$[ ]$ |
| 154154.l2 |
154154bt1 |
154154.l |
154154bt |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 7^{6} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6006$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2661120$ |
$2.227348$ |
$1890625/832$ |
$0.97154$ |
$4.19455$ |
$[1, 1, 0, -373650, 42873076]$ |
\(y^2+xy=x^3+x^2-373650x+42873076\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 231.8.0.?, 6006.16.0.? |
$[ ]$ |
| 154154.bs2 |
154154i1 |
154154.bs |
154154i |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{6} \cdot 7^{6} \cdot 11^{4} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$546$ |
$16$ |
$0$ |
$0.638102226$ |
$1$ |
|
$14$ |
$241920$ |
$1.028402$ |
$1890625/832$ |
$0.97154$ |
$2.99015$ |
$[1, 1, 1, -3088, -33615]$ |
\(y^2+xy+y=x^3+x^2-3088x-33615\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 26.2.0.a.1, 78.8.0.?, 546.16.0.? |
$[(83, 497), (-15, -91)]$ |
| 226512.cu2 |
226512bf1 |
226512.cu |
226512bf |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 11^{4} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$0.832346734$ |
$1$ |
|
$4$ |
$483840$ |
$1.297899$ |
$1890625/832$ |
$0.97154$ |
$3.15910$ |
$[0, 0, 0, -9075, 162866]$ |
\(y^2=x^3-9075x+162866\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[(-55, 704)]$ |
| 226512.dr2 |
226512bv1 |
226512.dr |
226512bv |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 11^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$5322240$ |
$2.496849$ |
$1890625/832$ |
$0.97154$ |
$4.32591$ |
$[0, 0, 0, -1098075, -216774646]$ |
\(y^2=x^3-1098075x-216774646\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[ ]$ |
| 327184.bl2 |
327184bl1 |
327184.bl |
327184bl |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 11^{10} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1716$ |
$16$ |
$0$ |
$5.030324456$ |
$1$ |
|
$2$ |
$29804544$ |
$3.230015$ |
$1890625/832$ |
$0.97154$ |
$4.89349$ |
$[0, -1, 0, -20619408, 17645906368]$ |
\(y^2=x^3-x^2-20619408x+17645906368\) |
3.4.0.a.1, 26.2.0.a.1, 78.8.0.?, 132.8.0.?, 1716.16.0.? |
$[(20952, 2963584)]$ |
| 327184.bo2 |
327184bo1 |
327184.bo |
327184bo |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{18} \cdot 11^{4} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$0.591563106$ |
$1$ |
|
$4$ |
$2709504$ |
$2.031067$ |
$1890625/832$ |
$0.97154$ |
$3.76047$ |
$[0, -1, 0, -170408, -13195664]$ |
\(y^2=x^3-x^2-170408x-13195664\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 26.2.0.a.1, 78.8.0.?, 156.16.0.? |
$[(-238, 3718)]$ |
| 368082.cg2 |
368082cg1 |
368082.cg |
368082cg |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{10} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$16.72445986$ |
$1$ |
|
$0$ |
$37255680$ |
$3.086174$ |
$1890625/832$ |
$0.97154$ |
$4.71383$ |
$[1, -1, 0, -11598417, 7444366749]$ |
\(y^2+xy=x^3-x^2-11598417x+7444366749\) |
3.4.0.a.1, 26.2.0.a.1, 66.8.0-3.a.1.2, 78.8.0.?, 429.8.0.?, $\ldots$ |
$[(10434394/127, 29120269193/127)]$ |
| 368082.fv2 |
368082fv1 |
368082.fv |
368082fv |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 11^{4} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$78$ |
$16$ |
$0$ |
$1.069023747$ |
$1$ |
|
$12$ |
$3386880$ |
$1.887228$ |
$1890625/832$ |
$0.97154$ |
$3.59123$ |
$[1, -1, 1, -95855, -5566921]$ |
\(y^2+xy+y=x^3-x^2-95855x-5566921\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 26.2.0.a.1, 39.8.0-3.a.1.2, 78.16.0.? |
$[(-107, 1912), (751, 18214)]$ |
