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 |
416955.a1 |
416955a1 |
416955.a |
416955a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5 \cdot 7^{3} \cdot 11^{2} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$83980800$ |
$3.226109$ |
$2703837237489299456/10113670303876755$ |
$0.95469$ |
$4.77608$ |
$[0, -1, 1, 10477544, 30508833066]$ |
\(y^2+y=x^3-x^2+10477544x+30508833066\) |
3990.2.0.? |
$[]$ |
416955.b1 |
416955b1 |
416955.b |
416955b |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{5} \cdot 7^{11} \cdot 11 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8434800$ |
$1.916311$ |
$5052049155362816/203911820371875$ |
$1.08705$ |
$3.57614$ |
$[0, -1, 1, 25454, 12951276]$ |
\(y^2+y=x^3-x^2+25454x+12951276\) |
2310.2.0.? |
$[]$ |
416955.c1 |
416955c1 |
416955.c |
416955c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{13} \cdot 5 \cdot 7^{7} \cdot 11 \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$4.565591550$ |
$1$ |
|
$2$ |
$29484000$ |
$2.817825$ |
$63090423356788736/72214645051395$ |
$1.00252$ |
$4.35447$ |
$[0, 1, 1, 2994014, -1970867390]$ |
\(y^2+y=x^3+x^2+2994014x-1970867390\) |
2310.2.0.? |
$[(596, 5062)]$ |
416955.d1 |
416955d1 |
416955.d |
416955d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{7} \cdot 7^{7} \cdot 11^{3} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1581821136$ |
$4.634636$ |
$608489639962423709696/1685565596299921875$ |
$1.01898$ |
$6.07642$ |
$[0, 1, 1, 3231135434, 137567139112390]$ |
\(y^2+y=x^3+x^2+3231135434x+137567139112390\) |
2310.2.0.? |
$[]$ |
416955.e1 |
416955e1 |
416955.e |
416955e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 11^{3} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14630$ |
$2$ |
$0$ |
$0.434798167$ |
$1$ |
|
$4$ |
$4147200$ |
$1.846096$ |
$-98867482624/645248835$ |
$0.93336$ |
$3.51537$ |
$[0, 1, 1, -34776, -8758024]$ |
\(y^2+y=x^3+x^2-34776x-8758024\) |
14630.2.0.? |
$[(1431, 53608)]$ |
416955.f1 |
416955f1 |
416955.f |
416955f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3772944$ |
$1.740013$ |
$-1478656/1155$ |
$0.67545$ |
$3.43917$ |
$[0, 1, 1, -43440, 5327474]$ |
\(y^2+y=x^3+x^2-43440x+5327474\) |
2310.2.0.? |
$[]$ |
416955.g1 |
416955g1 |
416955.g |
416955g |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{3} \cdot 7^{5} \cdot 11 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9316080$ |
$2.179684$ |
$-209005613056/69328875$ |
$0.83420$ |
$3.86951$ |
$[0, 1, 1, -317800, -86596844]$ |
\(y^2+y=x^3+x^2-317800x-86596844\) |
2310.2.0.? |
$[]$ |
416955.h1 |
416955h1 |
416955.h |
416955h |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{4} \cdot 5^{5} \cdot 7 \cdot 11 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14630$ |
$2$ |
$0$ |
$0.167294713$ |
$1$ |
|
$8$ |
$678400$ |
$0.815671$ |
$1466003456/19490625$ |
$0.85458$ |
$2.55233$ |
$[0, 1, 1, 450, 17354]$ |
\(y^2+y=x^3+x^2+450x+17354\) |
14630.2.0.? |
$[(6, 142)]$ |
416955.i1 |
416955i1 |
416955.i |
416955i |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5 \cdot 7 \cdot 11^{5} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$766080$ |
$1.105907$ |
$1118413511/12327648795$ |
$0.95912$ |
$2.82663$ |
$[1, 1, 1, 154, 101558]$ |
\(y^2+xy+y=x^3+x^2+154x+101558\) |
2310.2.0.? |
$[]$ |
416955.j1 |
416955j2 |
416955.j |
416955j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 7^{8} \cdot 11 \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$7.198637840$ |
$1$ |
|
$2$ |
$232243200$ |
$4.026558$ |
$4140675420282251633163529/21121112042230921875$ |
$0.97863$ |
$5.74539$ |
$[1, 1, 1, -1207692476, 16082241265298]$ |
\(y^2+xy+y=x^3+x^2-1207692476x+16082241265298\) |
2.3.0.a.1, 44.6.0.a.1, 380.6.0.?, 4180.12.0.? |
$[(234246, 112072939)]$ |
416955.j2 |
416955j1 |
416955.j |
416955j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{20} \cdot 5^{3} \cdot 7^{4} \cdot 11^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4180$ |
$12$ |
$0$ |
$14.39727568$ |
$1$ |
|
$1$ |
$116121600$ |
$3.679985$ |
$-103178140959069508249/2405837216036937375$ |
$0.97746$ |
$5.21379$ |
$[1, 1, 1, -35274581, 518159225594]$ |
\(y^2+xy+y=x^3+x^2-35274581x+518159225594\) |
2.3.0.a.1, 44.6.0.b.1, 190.6.0.?, 4180.12.0.? |
$[(-47758624/89, 506412248870/89)]$ |
416955.k1 |
416955k3 |
416955.k |
416955k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 7 \cdot 11 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$0.715372017$ |
$4$ |
$2$ |
$8$ |
$2654208$ |
$1.835812$ |
$957681397954009/31185$ |
$0.94531$ |
$4.03085$ |
$[1, 1, 1, -741321, 245364198]$ |
\(y^2+xy+y=x^3+x^2-741321x+245364198\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, $\ldots$ |
$[(492, -66)]$ |
416955.k2 |
416955k4 |
416955.k |
416955k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 5 \cdot 7^{4} \cdot 11^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$2.861488069$ |
$1$ |
|
$4$ |
$2654208$ |
$1.835812$ |
$932288503609/527295615$ |
$0.95635$ |
$3.49498$ |
$[1, 1, 1, -73471, -1184362]$ |
\(y^2+xy+y=x^3+x^2-73471x-1184362\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0.h.1, 228.12.0.?, 380.12.0.?, $\ldots$ |
$[(-173, 2613)]$ |
416955.k3 |
416955k2 |
416955.k |
416955k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$87780$ |
$48$ |
$0$ |
$1.430744034$ |
$1$ |
|
$12$ |
$1327104$ |
$1.489239$ |
$234770924809/1334025$ |
$0.88577$ |
$3.38841$ |
$[1, 1, 1, -46396, 3808268]$ |
\(y^2+xy+y=x^3+x^2-46396x+3808268\) |
2.6.0.a.1, 60.12.0.a.1, 228.12.0.?, 380.12.0.?, 924.12.0.?, $\ldots$ |
$[(136, 124)]$ |
416955.k4 |
416955k1 |
416955.k |
416955k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 11 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$2.861488069$ |
$1$ |
|
$5$ |
$663552$ |
$1.142664$ |
$-4826809/144375$ |
$0.96833$ |
$2.86079$ |
$[1, 1, 1, -1271, 126068]$ |
\(y^2+xy+y=x^3+x^2-1271x+126068\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 228.12.0.?, 462.6.0.?, $\ldots$ |
$[(-34, 379)]$ |
416955.l1 |
416955l4 |
416955.l |
416955l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7 \cdot 11^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$11.43598791$ |
$1$ |
|
$0$ |
$25067520$ |
$2.865017$ |
$949772224956959209/57732205625325$ |
$0.91724$ |
$4.56401$ |
$[1, 1, 1, -7392746, -7322208046]$ |
\(y^2+xy+y=x^3+x^2-7392746x-7322208046\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 266.6.0.?, 456.24.0.?, $\ldots$ |
$[(9805219/30, 29496658043/30)]$ |
416955.l2 |
416955l2 |
416955.l |
416955l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 11^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$5.717993957$ |
$1$ |
|
$2$ |
$12533760$ |
$2.518440$ |
$6328442608325209/1456788650625$ |
$0.89273$ |
$4.17677$ |
$[1, 1, 1, -1391121, 489507054]$ |
\(y^2+xy+y=x^3+x^2-1391121x+489507054\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 228.24.0.?, 532.24.0.?, $\ldots$ |
$[(43091/2, 8850405/2)]$ |
416955.l3 |
416955l1 |
416955.l |
416955l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 5^{2} \cdot 7^{4} \cdot 11^{2} \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3192$ |
$48$ |
$0$ |
$2.858996978$ |
$1$ |
|
$5$ |
$6266880$ |
$2.171867$ |
$5196505162568329/413992425$ |
$0.88595$ |
$4.16154$ |
$[1, 1, 1, -1302676, 571690148]$ |
\(y^2+xy+y=x^3+x^2-1302676x+571690148\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 114.6.0.?, 168.24.0.?, 228.24.0.?, $\ldots$ |
$[(10771, 1106494)]$ |
416955.l4 |
416955l3 |
416955.l |
416955l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{8} \cdot 7 \cdot 11^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3192$ |
$48$ |
$0$ |
$11.43598791$ |
$1$ |
|
$0$ |
$25067520$ |
$2.865017$ |
$76695744340128311/129353773828125$ |
$0.92019$ |
$4.41974$ |
$[1, 1, 1, 3195384, 3043273038]$ |
\(y^2+xy+y=x^3+x^2+3195384x+3043273038\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(2094131/14, 3061802211/14)]$ |
416955.m1 |
416955m1 |
416955.m |
416955m |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{5} \cdot 5 \cdot 7^{2} \cdot 11 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$660$ |
$2$ |
$0$ |
$1.626489341$ |
$1$ |
|
$2$ |
$158400$ |
$0.296164$ |
$1118413511/654885$ |
$0.83885$ |
$2.06511$ |
$[1, 1, 1, 154, -16]$ |
\(y^2+xy+y=x^3+x^2+154x-16\) |
660.2.0.? |
$[(2, 16)]$ |
416955.n1 |
416955n1 |
416955.n |
416955n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{8} \cdot 5 \cdot 7^{3} \cdot 11^{10} \cdot 19^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$29260$ |
$12$ |
$0$ |
$170.2350963$ |
$1$ |
|
$1$ |
$466944000$ |
$4.255035$ |
$652910053497312755899/291850884414281115$ |
$0.98990$ |
$5.75145$ |
$[1, 1, 1, -1239664080, -8014985913888]$ |
\(y^2+xy+y=x^3+x^2-1239664080x-8014985913888\) |
2.3.0.a.1, 836.6.0.?, 1330.6.0.?, 1540.6.0.?, 29260.12.0.? |
$[(-443435/4, 144781799/4), (499815875925334/4093, 11173134325032611634713/4093)]$ |
416955.n2 |
416955n2 |
416955.n |
416955n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{16} \cdot 5^{2} \cdot 7^{6} \cdot 11^{5} \cdot 19^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$29260$ |
$12$ |
$0$ |
$170.2350963$ |
$1$ |
|
$0$ |
$933888000$ |
$4.601608$ |
$26937788542312416605621/20390681922379859475$ |
$1.00480$ |
$6.03890$ |
$[1, 1, 1, 4283579965, -59887084686910]$ |
\(y^2+xy+y=x^3+x^2+4283579965x-59887084686910\) |
2.3.0.a.1, 836.6.0.?, 1540.6.0.?, 2660.6.0.?, 29260.12.0.? |
$[(19500741/28, 172646431105/28), (268008768/41, 4707305432078/41)]$ |
416955.o1 |
416955o1 |
416955.o |
416955o |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5^{5} \cdot 7^{5} \cdot 11 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3369600$ |
$1.874098$ |
$-4619527569308354761/11371668721875$ |
$0.94414$ |
$3.77644$ |
$[1, 1, 1, -247055, -47468248]$ |
\(y^2+xy+y=x^3+x^2-247055x-47468248\) |
2310.2.0.? |
$[]$ |
416955.p1 |
416955p1 |
416955.p |
416955p |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{5} \cdot 7^{9} \cdot 11^{2} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7620480$ |
$2.349987$ |
$49606369547627398679/33370793623715625$ |
$0.97660$ |
$3.95955$ |
$[1, 1, 1, 545055, -62198568]$ |
\(y^2+xy+y=x^3+x^2+545055x-62198568\) |
420.2.0.? |
$[]$ |
416955.q1 |
416955q4 |
416955.q |
416955q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 11^{3} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$58520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53084160$ |
$3.215508$ |
$21026497979043461623321/161783881875$ |
$1.01625$ |
$5.33716$ |
$[1, 1, 1, -207581325, -1151232814608]$ |
\(y^2+xy+y=x^3+x^2-207581325x-1151232814608\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 76.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
416955.q2 |
416955q2 |
416955.q |
416955q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$29260$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$26542080$ |
$2.868935$ |
$5143681768032498601/14238434358225$ |
$0.98713$ |
$4.69455$ |
$[1, 1, 1, -12982470, -17966922630]$ |
\(y^2+xy+y=x^3+x^2-12982470x-17966922630\) |
2.6.0.a.1, 44.12.0.a.1, 76.12.0.?, 140.12.0.?, 836.24.0.?, $\ldots$ |
$[]$ |
416955.q3 |
416955q3 |
416955.q |
416955q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7 \cdot 11^{12} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$58520$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$53084160$ |
$3.215508$ |
$-1143792273008057401/8897444448004035$ |
$1.01190$ |
$4.78471$ |
$[1, 1, 1, -7865295, -32268403320]$ |
\(y^2+xy+y=x^3+x^2-7865295x-32268403320\) |
2.3.0.a.1, 4.6.0.c.1, 70.6.0.a.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
416955.q4 |
416955q1 |
416955.q |
416955q |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{16} \cdot 5 \cdot 7 \cdot 11^{3} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$58520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13271040$ |
$2.522362$ |
$3481467828171481/2005331497785$ |
$1.02588$ |
$4.13059$ |
$[1, 1, 1, -1139865, -32481618]$ |
\(y^2+xy+y=x^3+x^2-1139865x-32481618\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 152.12.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
416955.r1 |
416955r1 |
416955.r |
416955r |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{7} \cdot 7 \cdot 11^{3} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$87780$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18144000$ |
$2.680283$ |
$425920990876919/14977805390625$ |
$0.92615$ |
$4.28433$ |
$[1, 1, 1, 565860, -1266365178]$ |
\(y^2+xy+y=x^3+x^2+565860x-1266365178\) |
87780.2.0.? |
$[]$ |
416955.s1 |
416955s1 |
416955.s |
416955s |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{11} \cdot 5^{3} \cdot 7^{5} \cdot 11^{5} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$87780$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$256608000$ |
$4.111351$ |
$-67624934036455723146409/411110191962385232625$ |
$0.98732$ |
$5.61619$ |
$[1, 0, 0, -306409046, -7002368446035]$ |
\(y^2+xy=x^3-306409046x-7002368446035\) |
87780.2.0.? |
$[]$ |
416955.t1 |
416955t3 |
416955.t |
416955t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 5^{3} \cdot 7^{4} \cdot 11^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7962624$ |
$2.223816$ |
$1058993490188089/13182390375$ |
$0.94617$ |
$4.03862$ |
$[1, 0, 0, -766591, 255483746]$ |
\(y^2+xy=x^3-766591x+255483746\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0.h.1, 228.12.0.?, 380.12.0.?, $\ldots$ |
$[]$ |
416955.t2 |
416955t2 |
416955.t |
416955t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$87780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3981312$ |
$1.877243$ |
$1697509118089/833765625$ |
$0.93038$ |
$3.54128$ |
$[1, 0, 0, -89716, -4030129]$ |
\(y^2+xy=x^3-89716x-4030129\) |
2.6.0.a.1, 60.12.0.a.1, 228.12.0.?, 380.12.0.?, 924.12.0.?, $\ldots$ |
$[]$ |
416955.t3 |
416955t1 |
416955.t |
416955t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{3} \cdot 7 \cdot 11 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1990656$ |
$1.530668$ |
$932288503609/779625$ |
$0.89741$ |
$3.49498$ |
$[1, 0, 0, -73471, -7665760]$ |
\(y^2+xy=x^3-73471x-7665760\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 380.12.0.?, 456.12.0.?, $\ldots$ |
$[]$ |
416955.t4 |
416955t4 |
416955.t |
416955t |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{12} \cdot 7 \cdot 11 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7962624$ |
$2.223816$ |
$82375335041831/56396484375$ |
$0.95870$ |
$3.84128$ |
$[1, 0, 0, 327239, -30798640]$ |
\(y^2+xy=x^3+327239x-30798640\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 228.12.0.?, 462.6.0.?, $\ldots$ |
$[]$ |
416955.u1 |
416955u1 |
416955.u |
416955u |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{3} \cdot 5^{9} \cdot 7^{3} \cdot 11 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$87780$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30533760$ |
$3.057125$ |
$-8755827359131/198966796875$ |
$0.93307$ |
$4.63623$ |
$[1, 0, 0, -2945226, 12345019605]$ |
\(y^2+xy=x^3-2945226x+12345019605\) |
87780.2.0.? |
$[]$ |
416955.v1 |
416955v3 |
416955.v |
416955v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{12} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$8.240828434$ |
$1$ |
|
$0$ |
$36495360$ |
$3.056370$ |
$2333378707371983881/1171595755128645$ |
$0.94147$ |
$4.63347$ |
$[1, 0, 0, -9975340, -4412762845]$ |
\(y^2+xy=x^3-9975340x-4412762845\) |
2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 168.12.0.?, 220.12.0.?, $\ldots$ |
$[(-23477/7, 5577853/7)]$ |
416955.v2 |
416955v2 |
416955.v |
416955v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$87780$ |
$48$ |
$0$ |
$16.48165686$ |
$1$ |
|
$2$ |
$18247680$ |
$2.709797$ |
$1244242807026783481/1156280843025$ |
$0.91754$ |
$4.58488$ |
$[1, 0, 0, -8089115, -8848786800]$ |
\(y^2+xy=x^3-8089115x-8848786800\) |
2.6.0.a.1, 76.12.0.?, 84.12.0.?, 220.12.0.?, 1596.24.0.?, $\ldots$ |
$[(1988442085/153, 88466169446585/153)]$ |
416955.v3 |
416955v1 |
416955.v |
416955v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3 \cdot 5 \cdot 7^{3} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$32.96331373$ |
$4$ |
$2$ |
$1$ |
$9123840$ |
$2.363224$ |
$1243410074215301161/1075305$ |
$0.91752$ |
$4.58483$ |
$[1, 0, 0, -8087310, -8852935773]$ |
\(y^2+xy=x^3-8087310x-8852935773\) |
2.3.0.a.1, 4.6.0.c.1, 152.12.0.?, 168.12.0.?, 220.12.0.?, $\ldots$ |
$[(3650081785138879/413865, 217694741533319491828928/413865)]$ |
416955.v4 |
416955v4 |
416955.v |
416955v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7^{3} \cdot 11^{4} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$175560$ |
$48$ |
$0$ |
$8.240828434$ |
$1$ |
|
$0$ |
$36495360$ |
$3.056370$ |
$-568900557392365801/1227101640043125$ |
$0.93194$ |
$4.64444$ |
$[1, 0, 0, -6231770, -13019269263]$ |
\(y^2+xy=x^3-6231770x-13019269263\) |
2.3.0.a.1, 4.6.0.c.1, 76.12.0.?, 84.12.0.?, 440.12.0.?, $\ldots$ |
$[(948201/17, 203604519/17)]$ |
416955.w1 |
416955w4 |
416955.w |
416955w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{16} \cdot 5 \cdot 7^{3} \cdot 11 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$58520$ |
$48$ |
$0$ |
$7.387737589$ |
$1$ |
|
$2$ |
$79626240$ |
$3.445690$ |
$372930984513976414681/105830607438174465$ |
$0.95067$ |
$5.02557$ |
$[1, 0, 0, -54134665, -109447388968]$ |
\(y^2+xy=x^3-54134665x-109447388968\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 770.6.0.?, 836.12.0.?, $\ldots$ |
$[(126872, 45050000)]$ |
416955.w2 |
416955w2 |
416955.w |
416955w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$29260$ |
$48$ |
$0$ |
$3.693868794$ |
$1$ |
|
$8$ |
$39813120$ |
$3.099117$ |
$19041884642618255881/842928734565225$ |
$0.93177$ |
$4.79569$ |
$[1, 0, 0, -20083340, 33288955167]$ |
\(y^2+xy=x^3-20083340x+33288955167\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 836.24.0.?, 1540.24.0.?, 2660.24.0.?, $\ldots$ |
$[(3049, 18523)]$ |
416955.w3 |
416955w1 |
416955.w |
416955w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{3} \cdot 11^{4} \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$58520$ |
$48$ |
$0$ |
$7.387737589$ |
$1$ |
|
$5$ |
$19906560$ |
$2.752544$ |
$18427378347829919161/38643235785$ |
$0.93084$ |
$4.79316$ |
$[1, 0, 0, -19864935, 34076654640]$ |
\(y^2+xy=x^3-19864935x+34076654640\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 1330.6.0.?, 1672.24.0.?, 2660.24.0.?, $\ldots$ |
$[(31817, 5606486)]$ |
416955.w4 |
416955w3 |
416955.w |
416955w |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{4} \cdot 5^{4} \cdot 7^{12} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$58520$ |
$48$ |
$0$ |
$7.387737589$ |
$1$ |
|
$2$ |
$79626240$ |
$3.445690$ |
$2700711768775897799/146449469391080625$ |
$0.97225$ |
$4.99478$ |
$[1, 0, 0, 10473505, 125613406650]$ |
\(y^2+xy=x^3+10473505x+125613406650\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 836.24.0.?, 3080.24.0.?, 5320.24.0.?, $\ldots$ |
$[(-3810, 176280)]$ |
416955.x1 |
416955x1 |
416955.x |
416955x |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5 \cdot 7^{3} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$87780$ |
$2$ |
$0$ |
$1.063963250$ |
$1$ |
|
$2$ |
$3628800$ |
$1.868132$ |
$1301812981559/783897345$ |
$0.86398$ |
$3.52078$ |
$[1, 0, 0, 82120, 1830345]$ |
\(y^2+xy=x^3+82120x+1830345\) |
87780.2.0.? |
$[(-8, 1087)]$ |
416955.y1 |
416955y1 |
416955.y |
416955y |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{7} \cdot 5 \cdot 7^{3} \cdot 11^{4} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$10.55282950$ |
$1$ |
|
$0$ |
$62052480$ |
$3.377598$ |
$-15853671701587801/54914071905$ |
$0.93705$ |
$5.15833$ |
$[1, 0, 0, -95788650, -361930033395]$ |
\(y^2+xy=x^3-95788650x-361930033395\) |
420.2.0.? |
$[(1379211/5, 1588831194/5)]$ |
416955.z1 |
416955z4 |
416955.z |
416955z |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 5 \cdot 7 \cdot 11^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$58520$ |
$48$ |
$0$ |
$11.26597783$ |
$4$ |
$2$ |
$0$ |
$11796480$ |
$2.515774$ |
$3597619672158944041/87626385$ |
$0.92292$ |
$4.66693$ |
$[1, 0, 0, -11524030, -15058522885]$ |
\(y^2+xy=x^3-11524030x-15058522885\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 1330.6.0.?, 1672.24.0.?, 2660.24.0.?, $\ldots$ |
$[(60478/3, 12310139/3)]$ |
416955.z2 |
416955z2 |
416955.z |
416955z |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$29260$ |
$48$ |
$0$ |
$5.632988919$ |
$1$ |
|
$4$ |
$5898240$ |
$2.169201$ |
$881449964682841/4334247225$ |
$0.87425$ |
$4.02444$ |
$[1, 0, 0, -721105, -234749200]$ |
\(y^2+xy=x^3-721105x-234749200\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 836.24.0.?, 1540.24.0.?, 2660.24.0.?, $\ldots$ |
$[(1385, 37040)]$ |
416955.z3 |
416955z3 |
416955.z |
416955z |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( - 3^{8} \cdot 5^{4} \cdot 7^{4} \cdot 11 \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$58520$ |
$48$ |
$0$ |
$2.816494459$ |
$1$ |
|
$8$ |
$11796480$ |
$2.515774$ |
$-95575628340361/2057730530625$ |
$0.91095$ |
$4.13427$ |
$[1, 0, 0, -343860, -479732103]$ |
\(y^2+xy=x^3-343860x-479732103\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 836.24.0.?, 3080.24.0.?, 5320.24.0.?, $\ldots$ |
$[(1479, 46668)]$ |
416955.z4 |
416955z1 |
416955.z |
416955z |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$58520$ |
$48$ |
$0$ |
$11.26597783$ |
$1$ |
|
$1$ |
$2949120$ |
$1.822626$ |
$789145184521/451562265$ |
$0.87599$ |
$3.48209$ |
$[1, 0, 0, -69500, 740847]$ |
\(y^2+xy=x^3-69500x+740847\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 770.6.0.?, 836.12.0.?, $\ldots$ |
$[(60243/13, 9746595/13)]$ |
416955.ba1 |
416955ba4 |
416955.ba |
416955ba |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{4} \cdot 11 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$58520$ |
$48$ |
$0$ |
$0.331987396$ |
$1$ |
|
$10$ |
$31850496$ |
$2.987698$ |
$981281029968144361/522287841796875$ |
$1.01026$ |
$4.56653$ |
$[1, 0, 0, -7473610, 2227406897]$ |
\(y^2+xy=x^3-7473610x+2227406897\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0.h.1, 76.12.0.?, 280.12.0.?, $\ldots$ |
$[(-2041, 95783)]$ |