| 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 |
| 35301.a1 |
35301g1 |
35301.a |
35301g |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{5} \cdot 7^{2} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.944616915$ |
$1$ |
|
$4$ |
$964320$ |
$2.197109$ |
$18069154321/11907$ |
$0.91208$ |
$5.09241$ |
$[1, 1, 1, -1092685, 438927656]$ |
\(y^2+xy+y=x^3+x^2-1092685x+438927656\) |
12.2.0.a.1 |
$[(700, 3852)]$ |
| 35301.b1 |
35301b1 |
35301.b |
35301b |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3^{5} \cdot 7 \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3444$ |
$2$ |
$0$ |
$1.610972885$ |
$1$ |
|
$4$ |
$134400$ |
$1.476267$ |
$-38272753/69741$ |
$0.83138$ |
$3.93104$ |
$[1, 1, 1, -11802, 1000260]$ |
\(y^2+xy+y=x^3+x^2-11802x+1000260\) |
3444.2.0.? |
$[(-120, 900)]$ |
| 35301.c1 |
35301e6 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3 \cdot 7^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$281600$ |
$1.930992$ |
$53297461115137/147$ |
$1.05087$ |
$5.14611$ |
$[1, 1, 1, -1317939, -582908538]$ |
\(y^2+xy+y=x^3+x^2-1317939x-582908538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[]$ |
| 35301.c2 |
35301e4 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{2} \cdot 7^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$6888$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$140800$ |
$1.584417$ |
$13027640977/21609$ |
$1.08149$ |
$4.35191$ |
$[1, 1, 1, -82404, -9126084]$ |
\(y^2+xy+y=x^3+x^2-82404x-9126084\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[]$ |
| 35301.c3 |
35301e3 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{8} \cdot 7 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$140800$ |
$1.584417$ |
$6570725617/45927$ |
$1.00160$ |
$4.28655$ |
$[1, 1, 1, -65594, 6399632]$ |
\(y^2+xy+y=x^3+x^2-65594x+6399632\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 35301.c4 |
35301e5 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3 \cdot 7^{8} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$281600$ |
$1.930992$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.44419$ |
$[1, 1, 1, -57189, -14784330]$ |
\(y^2+xy+y=x^3+x^2-57189x-14784330\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 35301.c5 |
35301e2 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{4} \cdot 7^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$6888$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$70400$ |
$1.237844$ |
$7189057/3969$ |
$1.14862$ |
$3.63548$ |
$[1, 1, 1, -6759, -48684]$ |
\(y^2+xy+y=x^3+x^2-6759x-48684\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 35301.c6 |
35301e1 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3^{2} \cdot 7 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$35200$ |
$0.891271$ |
$103823/63$ |
$0.97868$ |
$3.23080$ |
$[1, 1, 1, 1646, -4978]$ |
\(y^2+xy+y=x^3+x^2+1646x-4978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[]$ |
| 35301.d1 |
35301a1 |
35301.d |
35301a |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{11} \cdot 7^{4} \cdot 41^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$30.00561532$ |
$1$ |
|
$0$ |
$6667584$ |
$3.485489$ |
$4090106028625/425329947$ |
$0.99874$ |
$6.31946$ |
$[1, 1, 1, -79180178, -245651221996]$ |
\(y^2+xy+y=x^3+x^2-79180178x-245651221996\) |
12.2.0.a.1 |
$[(7458445917884/25567, 9599833903967347561/25567)]$ |
| 35301.e1 |
35301d1 |
35301.e |
35301d |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3 \cdot 7^{4} \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.551174646$ |
$1$ |
|
$10$ |
$6720$ |
$0.138526$ |
$259596625/7203$ |
$0.86748$ |
$2.55946$ |
$[1, 1, 1, -158, 680]$ |
\(y^2+xy+y=x^3+x^2-158x+680\) |
12.2.0.a.1 |
$[(5, 4), (-2, 32)]$ |
| 35301.f1 |
35301f1 |
35301.f |
35301f |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3^{7} \cdot 7 \cdot 41^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3444$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3763200$ |
$2.896152$ |
$2813193182704463/1773642581109$ |
$0.99360$ |
$5.52486$ |
$[1, 1, 1, 4943786, 1267512728]$ |
\(y^2+xy+y=x^3+x^2+4943786x+1267512728\) |
3444.2.0.? |
$[]$ |
| 35301.g1 |
35301i1 |
35301.g |
35301i |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{5} \cdot 7^{2} \cdot 41^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.244177632$ |
$1$ |
|
$18$ |
$23520$ |
$0.340323$ |
$18069154321/11907$ |
$0.91208$ |
$2.96463$ |
$[1, 0, 0, -650, 6321]$ |
\(y^2+xy=x^3-650x+6321\) |
12.2.0.a.1 |
$[(13, 4), (-8, 109)]$ |
| 35301.h1 |
35301j1 |
35301.h |
35301j |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3 \cdot 7^{4} \cdot 41^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$6.725281716$ |
$1$ |
|
$2$ |
$275520$ |
$1.995312$ |
$259596625/7203$ |
$0.86748$ |
$4.68724$ |
$[1, 0, 0, -265633, 51394286]$ |
\(y^2+xy=x^3-265633x+51394286\) |
12.2.0.a.1 |
$[(835, 19879)]$ |
| 35301.i1 |
35301k1 |
35301.i |
35301k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{11} \cdot 7^{4} \cdot 41^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.157088958$ |
$1$ |
|
$24$ |
$162624$ |
$1.628702$ |
$4090106028625/425329947$ |
$0.99874$ |
$4.19168$ |
$[1, 0, 0, -47103, -3567690]$ |
\(y^2+xy=x^3-47103x-3567690\) |
12.2.0.a.1 |
$[(-147, 504), (273, 1848)]$ |
| 35301.j1 |
35301h4 |
35301.j |
35301h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3 \cdot 7^{4} \cdot 41^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$6888$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$376320$ |
$2.069206$ |
$31366144171153/295323$ |
$0.93188$ |
$5.09548$ |
$[1, 0, 0, -1104452, -446842347]$ |
\(y^2+xy=x^3-1104452x-446842347\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 492.24.0.?, 2296.24.0.?, $\ldots$ |
$[]$ |
| 35301.j2 |
35301h3 |
35301.j |
35301h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3 \cdot 7 \cdot 41^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$6888$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$376320$ |
$2.069206$ |
$351447414193/59340981$ |
$0.90324$ |
$4.66657$ |
$[1, 0, 0, -247142, 39776895]$ |
\(y^2+xy=x^3-247142x+39776895\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 35301.j3 |
35301h2 |
35301.j |
35301h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{2} \cdot 7^{2} \cdot 41^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$3444$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$188160$ |
$1.722633$ |
$8205738913/741321$ |
$0.86504$ |
$4.30777$ |
$[1, 0, 0, -70637, -6643920]$ |
\(y^2+xy=x^3-70637x-6643920\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 492.24.0.?, 1148.24.0.?, $\ldots$ |
$[]$ |
| 35301.j4 |
35301h1 |
35301.j |
35301h |
$4$ |
$4$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3^{4} \cdot 7 \cdot 41^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$6888$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$94080$ |
$1.376060$ |
$2924207/23247$ |
$0.82859$ |
$3.79257$ |
$[1, 0, 0, 5008, -486417]$ |
\(y^2+xy=x^3+5008x-486417\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 574.6.0.?, 984.24.0.?, $\ldots$ |
$[]$ |
| 35301.k1 |
35301c1 |
35301.k |
35301c |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3^{17} \cdot 7^{3} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3444$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2741760$ |
$2.888859$ |
$38996155237031/1816098112269$ |
$0.99901$ |
$5.53411$ |
$[1, 1, 0, 1187592, -4440334959]$ |
\(y^2+xy=x^3+x^2+1187592x-4440334959\) |
3444.2.0.? |
$[]$ |
