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 |
4719.b1 |
4719k1 |
4719.b |
4719k |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( - 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.063544874$ |
$1$ |
|
$12$ |
$3360$ |
$0.456522$ |
$-1518309117952/369603$ |
$0.97601$ |
$3.88266$ |
$[0, 1, 1, -1184, 15296]$ |
\(y^2+y=x^3+x^2-1184x+15296\) |
6.2.0.a.1 |
$[(22, 19)]$ |
4719.m1 |
4719m1 |
4719.m |
4719m |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( - 3^{7} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36960$ |
$1.655470$ |
$-1518309117952/369603$ |
$0.97601$ |
$5.58343$ |
$[0, 1, 1, -143304, -20932477]$ |
\(y^2+y=x^3+x^2-143304x-20932477\) |
6.2.0.a.1 |
$[]$ |
14157.b1 |
14157v1 |
14157.b |
14157v |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{13} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$2.204777$ |
$-1518309117952/369603$ |
$0.97601$ |
$5.63131$ |
$[0, 0, 1, -1289739, 563887134]$ |
\(y^2+y=x^3-1289739x+563887134\) |
6.2.0.a.1 |
$[]$ |
14157.v1 |
14157o1 |
14157.v |
14157o |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{13} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$10.27515243$ |
$1$ |
|
$0$ |
$26880$ |
$1.005829$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.12604$ |
$[0, 0, 1, -10659, -423657]$ |
\(y^2+y=x^3-10659x-423657\) |
6.2.0.a.1 |
$[(312761/4, 174909235/4)]$ |
61347.e1 |
61347bd1 |
61347.e |
61347bd |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.116883321$ |
$1$ |
|
$2$ |
$6209280$ |
$2.937943$ |
$-1518309117952/369603$ |
$0.97601$ |
$5.68035$ |
$[0, 1, 1, -24218432, -45891777772]$ |
\(y^2+y=x^3+x^2-24218432x-45891777772\) |
6.2.0.a.1 |
$[(16072, 1927867)]$ |
61347.bd1 |
61347bc1 |
61347.bd |
61347bc |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.290358833$ |
$1$ |
|
$0$ |
$564480$ |
$1.738997$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.37529$ |
$[0, 1, 1, -200152, 34406389]$ |
\(y^2+y=x^3+x^2-200152x+34406389\) |
6.2.0.a.1 |
$[(653/2, 19769/2)]$ |
75504.g1 |
75504bx1 |
75504.g |
75504bx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1478400$ |
$2.348618$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.94571$ |
$[0, -1, 0, -2292869, 1337385645]$ |
\(y^2=x^3-x^2-2292869x+1337385645\) |
6.2.0.a.1 |
$[]$ |
75504.m1 |
75504bm1 |
75504.m |
75504bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$10.86562824$ |
$1$ |
|
$0$ |
$134400$ |
$1.149670$ |
$-1518309117952/369603$ |
$0.97601$ |
$3.66478$ |
$[0, -1, 0, -18949, -997907]$ |
\(y^2=x^3-x^2-18949x-997907\) |
6.2.0.a.1 |
$[(150429/22, 51109721/22)]$ |
117975.b1 |
117975k1 |
117975.b |
117975k |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{7} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4730880$ |
$2.460190$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.87136$ |
$[0, -1, 1, -3582608, -2609394382]$ |
\(y^2+y=x^3-x^2-3582608x-2609394382\) |
6.2.0.a.1 |
$[]$ |
117975.ch1 |
117975s1 |
117975.ch |
117975s |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{7} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.777445392$ |
$1$ |
|
$0$ |
$430080$ |
$1.261242$ |
$-1518309117952/369603$ |
$0.97601$ |
$3.63938$ |
$[0, -1, 1, -29608, 1971243]$ |
\(y^2+y=x^3-x^2-29608x+1971243\) |
6.2.0.a.1 |
$[(-267/2, 15271/2)]$ |
184041.a1 |
184041a1 |
184041.a |
184041a |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.355358747$ |
$1$ |
|
$0$ |
$4515840$ |
$2.288303$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.52253$ |
$[0, 0, 1, -1801371, -930773880]$ |
\(y^2+y=x^3-1801371x-930773880\) |
6.2.0.a.1 |
$[(6825/2, 248257/2)]$ |
184041.bv1 |
184041bv1 |
184041.bv |
184041bv |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.388330074$ |
$1$ |
|
$0$ |
$49674240$ |
$3.487251$ |
$-1518309117952/369603$ |
$0.97601$ |
$5.70932$ |
$[0, 0, 1, -217965891, 1238860033947]$ |
\(y^2+y=x^3-217965891x+1238860033947\) |
6.2.0.a.1 |
$[(-67639/2, 2392529/2)]$ |
226512.et1 |
226512cl1 |
226512.et |
226512cl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$9.119953098$ |
$1$ |
|
$0$ |
$11827200$ |
$2.897923$ |
$-1518309117952/369603$ |
$0.97601$ |
$5.03965$ |
$[0, 0, 0, -20635824, -36088776592]$ |
\(y^2=x^3-20635824x-36088776592\) |
6.2.0.a.1 |
$[(15144481/23, 58143521007/23)]$ |
226512.fn1 |
226512cv1 |
226512.fn |
226512cv |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{13} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1075200$ |
$1.698975$ |
$-1518309117952/369603$ |
$0.97601$ |
$3.87284$ |
$[0, 0, 0, -170544, 27114032]$ |
\(y^2=x^3-170544x+27114032\) |
6.2.0.a.1 |
$[]$ |
231231.d1 |
231231d1 |
231231.d |
231231d |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{7} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1108800$ |
$1.429478$ |
$-1518309117952/369603$ |
$0.97601$ |
$3.60454$ |
$[0, -1, 1, -58032, -5362666]$ |
\(y^2+y=x^3-x^2-58032x-5362666\) |
6.2.0.a.1 |
$[]$ |
231231.ci1 |
231231ci1 |
231231.ci |
231231ci |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{7} \cdot 7^{6} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$11.54905878$ |
$1$ |
|
$0$ |
$12196800$ |
$2.628426$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.76940$ |
$[0, -1, 1, -7021912, 7165795713]$ |
\(y^2+y=x^3-x^2-7021912x+7165795713\) |
6.2.0.a.1 |
$[(12357537/68, 27194035095/68)]$ |
302016.cw1 |
302016cw1 |
302016.cw |
302016cw |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.668393625$ |
$1$ |
|
$2$ |
$268800$ |
$0.803096$ |
$-1518309117952/369603$ |
$0.97601$ |
$2.93256$ |
$[0, -1, 0, -4737, 127107]$ |
\(y^2=x^3-x^2-4737x+127107\) |
6.2.0.a.1 |
$[(38, 23)]$ |
302016.dl1 |
302016dl1 |
302016.dl |
302016dl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2956800$ |
$2.002045$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.07276$ |
$[0, -1, 0, -573217, -166886597]$ |
\(y^2=x^3-x^2-573217x-166886597\) |
6.2.0.a.1 |
$[]$ |
302016.gx1 |
302016gx1 |
302016.gx |
302016gx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{8} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.070467543$ |
$1$ |
|
$6$ |
$2956800$ |
$2.002045$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.07276$ |
$[0, 1, 0, -573217, 166886597]$ |
\(y^2=x^3+x^2-573217x+166886597\) |
6.2.0.a.1 |
$[(524, 3267), (452, 585)]$ |
302016.ho1 |
302016ho1 |
302016.ho |
302016ho |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.578473136$ |
$1$ |
|
$2$ |
$268800$ |
$0.803096$ |
$-1518309117952/369603$ |
$0.97601$ |
$2.93256$ |
$[0, 1, 0, -4737, -127107]$ |
\(y^2=x^3+x^2-4737x-127107\) |
6.2.0.a.1 |
$[(132, 1251)]$ |
353925.p1 |
353925p1 |
353925.p |
353925p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{13} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3440640$ |
$1.810547$ |
$-1518309117952/369603$ |
$0.97601$ |
$3.84235$ |
$[0, 0, 1, -266475, -52957094]$ |
\(y^2+y=x^3-266475x-52957094\) |
6.2.0.a.1 |
$[]$ |
353925.dq1 |
353925dq1 |
353925.dq |
353925dq |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{13} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.038559537$ |
$1$ |
|
$0$ |
$37847040$ |
$3.009495$ |
$-1518309117952/369603$ |
$0.97601$ |
$4.96840$ |
$[0, 0, 1, -32243475, 70485891781]$ |
\(y^2+y=x^3-32243475x+70485891781\) |
6.2.0.a.1 |
$[(208345/8, 2290019/8)]$ |