| 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 |
| 312050.a1 |
312050a1 |
312050.a |
312050a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 79^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$5.411791482$ |
$1$ |
|
$4$ |
$21565440$ |
$2.522865$ |
$72511713/20224$ |
$0.89606$ |
$4.26630$ |
$[1, -1, 0, -1355467, -436848059]$ |
\(y^2+xy=x^3-x^2-1355467x-436848059\) |
316.2.0.? |
$[(2390, 98661), (-8901/5, 112747/5)]$ |
| 312050.b1 |
312050b2 |
312050.b |
312050b |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{4} \cdot 5^{7} \cdot 79^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$12.72730143$ |
$1$ |
|
$10$ |
$38338560$ |
$3.145161$ |
$8490912541201/499280$ |
$0.91378$ |
$5.18882$ |
$[1, 0, 1, -66313876, -207847215102]$ |
\(y^2+xy+y=x^3-66313876x-207847215102\) |
2.3.0.a.1, 10.6.0.a.1, 316.6.0.?, 1580.12.0.? |
$[(-4694, -774), (-1362807/17, -2148797/17)]$ |
| 312050.b2 |
312050b1 |
312050.b |
312050b |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{8} \cdot 5^{8} \cdot 79^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1580$ |
$12$ |
$0$ |
$12.72730143$ |
$1$ |
|
$9$ |
$19169280$ |
$2.798584$ |
$-1732323601/505600$ |
$0.84355$ |
$4.54942$ |
$[1, 0, 1, -3903876, -3641695102]$ |
\(y^2+xy+y=x^3-3903876x-3641695102\) |
2.3.0.a.1, 20.6.0.c.1, 158.6.0.?, 1580.12.0.? |
$[(2732, 76646), (212237/4, 96184369/4)]$ |
| 312050.c1 |
312050c2 |
312050.c |
312050c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2 \cdot 5^{12} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$9480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1033344$ |
$1.265211$ |
$10541193649/31250$ |
$0.90349$ |
$3.27835$ |
$[1, 0, 1, -21026, 1168698]$ |
\(y^2+xy+y=x^3-21026x+1168698\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 1185.8.0.?, 9480.16.0.? |
$[]$ |
| 312050.c2 |
312050c1 |
312050.c |
312050c |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{3} \cdot 5^{8} \cdot 79^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$9480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344448$ |
$0.715904$ |
$2353489/200$ |
$0.79473$ |
$2.61380$ |
$[1, 0, 1, -1276, -16302]$ |
\(y^2+xy+y=x^3-1276x-16302\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 1185.8.0.?, 9480.16.0.? |
$[]$ |
| 312050.d1 |
312050d2 |
312050.d |
312050d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{3} \cdot 5^{4} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$9480$ |
$384$ |
$9$ |
$3.252099300$ |
$1$ |
|
$0$ |
$2948400$ |
$2.007931$ |
$-349938025/8$ |
$1.05078$ |
$4.13628$ |
$[1, 1, 0, -783375, 266550925]$ |
\(y^2+xy=x^3+x^2-783375x+266550925\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(3211/2, 96645/2)]$ |
| 312050.d2 |
312050d3 |
312050.d |
312050d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$9480$ |
$384$ |
$9$ |
$5.420165501$ |
$1$ |
|
$0$ |
$4914000$ |
$2.263344$ |
$-121945/32$ |
$0.94334$ |
$4.04535$ |
$[1, 1, 0, -471325, -150347875]$ |
\(y^2+xy=x^3+x^2-471325x-150347875\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(102485/11, 9655970/11)]$ |
| 312050.d3 |
312050d1 |
312050.d |
312050d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2 \cdot 5^{4} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$9480$ |
$384$ |
$9$ |
$1.084033100$ |
$1$ |
|
$4$ |
$982800$ |
$1.458624$ |
$-25/2$ |
$1.09044$ |
$3.22581$ |
$[1, 1, 0, -3250, 840350]$ |
\(y^2+xy=x^3+x^2-3250x+840350\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(625, 15290)]$ |
| 312050.d4 |
312050d4 |
312050.d |
312050d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$9480$ |
$384$ |
$9$ |
$16.26049650$ |
$1$ |
|
$0$ |
$14742000$ |
$2.812649$ |
$46969655/32768$ |
$1.06296$ |
$4.48641$ |
$[1, 1, 0, 3429300, 1109554000]$ |
\(y^2+xy=x^3+x^2+3429300x+1109554000\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(-104559069/682, 5775016143665/682)]$ |
| 312050.e1 |
312050e2 |
312050.e |
312050e |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 79^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1580$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$209664000$ |
$4.131554$ |
$1413378216646643521/49232902384$ |
$1.01962$ |
$6.13915$ |
$[1, 1, 0, -3647867750, 84798053990500]$ |
\(y^2+xy=x^3+x^2-3647867750x+84798053990500\) |
5.12.0.a.2, 20.24.0-5.a.2.3, 316.2.0.?, 395.24.0.?, 1580.48.1.? |
$[]$ |
| 312050.e2 |
312050e1 |
312050.e |
312050e |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{20} \cdot 5^{6} \cdot 79^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1580$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$41932800$ |
$3.326832$ |
$8194759433281/82837504$ |
$0.96131$ |
$5.18601$ |
$[1, 1, 0, -65533750, -202431299500]$ |
\(y^2+xy=x^3+x^2-65533750x-202431299500\) |
5.12.0.a.1, 20.24.0-5.a.1.3, 316.2.0.?, 395.24.0.?, 1580.48.1.? |
$[]$ |
| 312050.f1 |
312050f2 |
312050.f |
312050f |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 79^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$3160$ |
$48$ |
$1$ |
$103.5043253$ |
$1$ |
|
$4$ |
$232980480$ |
$4.074371$ |
$16775249996799/100$ |
$1.06622$ |
$6.27880$ |
$[1, -1, 0, -6573596542, -205139456451384]$ |
\(y^2+xy=x^3-x^2-6573596542x-205139456451384\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 20.12.0.o.1, 40.24.0.dh.1, $\ldots$ |
$[(237604, 107802448), (570954, 426523398)]$ |
| 312050.f2 |
312050f1 |
312050.f |
312050f |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 79^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$3160$ |
$48$ |
$1$ |
$103.5043253$ |
$1$ |
|
$5$ |
$116490240$ |
$3.727798$ |
$-4088324799/10000$ |
$1.01629$ |
$5.62151$ |
$[1, -1, 0, -410609042, -3209171013884]$ |
\(y^2+xy=x^3-x^2-410609042x-3209171013884\) |
2.3.0.a.1, 4.12.0.f.1, 40.24.0.dp.1, 158.6.0.?, 316.24.0.?, $\ldots$ |
$[(87249, 24959038), (1763904, 2341639298)]$ |
| 312050.g1 |
312050g2 |
312050.g |
312050g |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{7} \cdot 5^{6} \cdot 79^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.2, 7.8.0.1 |
7B |
$22120$ |
$96$ |
$2$ |
$4.501737358$ |
$1$ |
|
$6$ |
$786240$ |
$1.393827$ |
$1916782322625/128$ |
$1.04638$ |
$3.68963$ |
$[1, -1, 0, -119117, 15853541]$ |
\(y^2+xy=x^3-x^2-119117x+15853541\) |
7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 2765.48.0.?, $\ldots$ |
$[(199, -87), (9767/7, -32656/7)]$ |
| 312050.g2 |
312050g1 |
312050.g |
312050g |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2 \cdot 5^{6} \cdot 79^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.2, 7.8.0.1 |
7B |
$22120$ |
$96$ |
$2$ |
$4.501737358$ |
$1$ |
|
$6$ |
$112320$ |
$0.420871$ |
$266625/2$ |
$0.85839$ |
$2.44165$ |
$[1, -1, 0, -617, -5709]$ |
\(y^2+xy=x^3-x^2-617x-5709\) |
7.8.0.a.1, 8.2.0.b.1, 56.16.0.b.1, 553.24.0.?, 2765.48.0.?, $\ldots$ |
$[(29, -2), (-15, 6)]$ |
| 312050.h1 |
312050h2 |
312050.h |
312050h |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{7} \cdot 5^{6} \cdot 79^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.2, 7.8.0.1 |
7B |
$22120$ |
$96$ |
$2$ |
$37.21208854$ |
$1$ |
|
$0$ |
$62112960$ |
$3.578552$ |
$1916782322625/128$ |
$1.04638$ |
$5.76194$ |
$[1, -1, 0, -743410367, -7801545801459]$ |
\(y^2+xy=x^3-x^2-743410367x-7801545801459\) |
7.8.0.a.1, 8.2.0.b.1, 35.16.0-7.a.1.2, 56.16.0.b.1, 280.32.0.?, $\ldots$ |
$[(16513918357528635119/22601659, 15932030277897414891975566077/22601659)]$ |
| 312050.h2 |
312050h1 |
312050.h |
312050h |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2 \cdot 5^{6} \cdot 79^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.2, 7.8.0.1 |
7B |
$22120$ |
$96$ |
$2$ |
$5.316012649$ |
$1$ |
|
$0$ |
$8873280$ |
$2.605595$ |
$266625/2$ |
$0.85839$ |
$4.51397$ |
$[1, -1, 0, -3851867, 2891789291]$ |
\(y^2+xy=x^3-x^2-3851867x+2891789291\) |
7.8.0.a.1, 8.2.0.b.1, 35.16.0-7.a.1.1, 56.16.0.b.1, 280.32.0.?, $\ldots$ |
$[(491569/19, 84810432/19)]$ |
| 312050.i1 |
312050i2 |
312050.i |
312050i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{2} \cdot 5^{8} \cdot 79^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$3160$ |
$48$ |
$1$ |
$4.772898918$ |
$1$ |
|
$8$ |
$2949120$ |
$1.889647$ |
$16775249996799/100$ |
$1.06622$ |
$4.20648$ |
$[1, -1, 0, -1053292, 416338116]$ |
\(y^2+xy=x^3-x^2-1053292x+416338116\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 20.12.0.o.1, 40.24.0.dh.1, $\ldots$ |
$[(599, -37), (654, 2298)]$ |
| 312050.i2 |
312050i1 |
312050.i |
312050i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{4} \cdot 5^{10} \cdot 79^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$3160$ |
$48$ |
$1$ |
$4.772898918$ |
$1$ |
|
$9$ |
$1474560$ |
$1.543074$ |
$-4088324799/10000$ |
$1.01629$ |
$3.54920$ |
$[1, -1, 0, -65792, 6525616]$ |
\(y^2+xy=x^3-x^2-65792x+6525616\) |
2.3.0.a.1, 4.12.0.f.1, 40.24.0.dp.1, 158.6.0.?, 316.24.0.?, $\ldots$ |
$[(99, 938), (1207/3, 6761/3)]$ |
| 312050.j1 |
312050j1 |
312050.j |
312050j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{3} \cdot 5^{10} \cdot 79^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9480$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$21715200$ |
$2.816151$ |
$-9725425/632$ |
$0.80343$ |
$4.62478$ |
$[1, 0, 1, -5932201, -5865675452]$ |
\(y^2+xy+y=x^3-5932201x-5865675452\) |
3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1185.8.0.?, 1896.8.0.?, $\ldots$ |
$[]$ |
| 312050.j2 |
312050j2 |
312050.j |
312050j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2 \cdot 5^{10} \cdot 79^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9480$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$65145600$ |
$3.365456$ |
$1685478575/986078$ |
$0.95986$ |
$5.02386$ |
$[1, 0, 1, 33074049, -7659962952]$ |
\(y^2+xy+y=x^3+33074049x-7659962952\) |
3.4.0.a.1, 120.8.0.?, 632.2.0.?, 1185.8.0.?, 1896.8.0.?, $\ldots$ |
$[]$ |
| 312050.k1 |
312050k1 |
312050.k |
312050k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{19} \cdot 5^{10} \cdot 79^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$270316800$ |
$4.276497$ |
$-3665123505412225/3272081408$ |
$0.98020$ |
$6.17744$ |
$[1, 0, 1, -4284917826, 108042632614548]$ |
\(y^2+xy+y=x^3-4284917826x+108042632614548\) |
8.2.0.a.1 |
$[]$ |
| 312050.l1 |
312050l2 |
312050.l |
312050l |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2 \cdot 5^{6} \cdot 79^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$632$ |
$12$ |
$0$ |
$53.92259304$ |
$1$ |
|
$2$ |
$9584640$ |
$2.498978$ |
$81182737/12482$ |
$0.85973$ |
$4.27523$ |
$[1, 1, 0, -1407475, -551332125]$ |
\(y^2+xy=x^3+x^2-1407475x-551332125\) |
2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.? |
$[(-639, 9681), (2381167903459/25641, 3419172348744910535/25641)]$ |
| 312050.l2 |
312050l1 |
312050.l |
312050l |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{2} \cdot 5^{6} \cdot 79^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$632$ |
$12$ |
$0$ |
$13.48064826$ |
$1$ |
|
$5$ |
$4792320$ |
$2.152405$ |
$103823/316$ |
$0.80009$ |
$3.86319$ |
$[1, 1, 0, 152775, -47371375]$ |
\(y^2+xy=x^3+x^2+152775x-47371375\) |
2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.? |
$[(3785, 232145), (13999141/63, 52239161395/63)]$ |
| 312050.m1 |
312050m2 |
312050.m |
312050m |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2 \cdot 5^{12} \cdot 79^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$41.03174516$ |
$1$ |
|
$0$ |
$81634176$ |
$3.449936$ |
$10541193649/31250$ |
$0.90349$ |
$5.35066$ |
$[1, 1, 0, -131220275, -577132358125]$ |
\(y^2+xy=x^3+x^2-131220275x-577132358125\) |
3.4.0.a.1, 8.2.0.b.1, 15.8.0-3.a.1.1, 24.8.0.b.1, 120.16.0.? |
$[(-1365211152507803459/14118375, 64139677108507264720958786/14118375)]$ |
| 312050.m2 |
312050m1 |
312050.m |
312050m |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{3} \cdot 5^{8} \cdot 79^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$13.67724838$ |
$1$ |
|
$0$ |
$27211392$ |
$2.900627$ |
$2353489/200$ |
$0.79473$ |
$4.68611$ |
$[1, 1, 0, -7960525, 7981675125]$ |
\(y^2+xy=x^3+x^2-7960525x+7981675125\) |
3.4.0.a.1, 8.2.0.b.1, 15.8.0-3.a.1.2, 24.8.0.b.1, 120.16.0.? |
$[(130657591/375, 1940551490014/375)]$ |
| 312050.n1 |
312050n1 |
312050.n |
312050n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 79^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$12.79523823$ |
$1$ |
|
$0$ |
$6988800$ |
$2.218876$ |
$4826809/316$ |
$0.94063$ |
$4.05212$ |
$[1, 1, 1, -549338, -147812469]$ |
\(y^2+xy+y=x^3+x^2-549338x-147812469\) |
316.2.0.? |
$[(-31319519/299, 40465194147/299)]$ |
| 312050.o1 |
312050o1 |
312050.o |
312050o |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{19} \cdot 5^{4} \cdot 79^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$54063360$ |
$3.471779$ |
$-3665123505412225/3272081408$ |
$0.98020$ |
$5.41412$ |
$[1, 1, 1, -171396713, 864272502231]$ |
\(y^2+xy+y=x^3+x^2-171396713x+864272502231\) |
8.2.0.a.1 |
$[]$ |
| 312050.p1 |
312050p1 |
312050.p |
312050p |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{3} \cdot 5^{4} \cdot 79^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1896$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4343040$ |
$2.011433$ |
$-9725425/632$ |
$0.80343$ |
$3.86147$ |
$[1, 1, 1, -237288, -47020319]$ |
\(y^2+xy+y=x^3+x^2-237288x-47020319\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 237.8.0.?, 632.2.0.?, 1896.16.0.? |
$[]$ |
| 312050.p2 |
312050p2 |
312050.p |
312050p |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2 \cdot 5^{4} \cdot 79^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1896$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$13029120$ |
$2.560738$ |
$1685478575/986078$ |
$0.95986$ |
$4.26054$ |
$[1, 1, 1, 1322962, -60750519]$ |
\(y^2+xy+y=x^3+x^2+1322962x-60750519\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 237.8.0.?, 632.2.0.?, 1896.16.0.? |
$[]$ |
| 312050.q1 |
312050q1 |
312050.q |
312050q |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{19} \cdot 5^{6} \cdot 79^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$3.230255234$ |
$1$ |
|
$8$ |
$56197440$ |
$3.506275$ |
$973784889/524288$ |
$1.07245$ |
$5.16238$ |
$[1, -1, 1, -59318755, -46390540253]$ |
\(y^2+xy+y=x^3-x^2-59318755x-46390540253\) |
8.2.0.b.1 |
$[(117019, 39883890), (-45245/3, 9604102/3)]$ |
| 312050.r1 |
312050r1 |
312050.r |
312050r |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{19} \cdot 5^{6} \cdot 79^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.581565630$ |
$1$ |
|
$6$ |
$711360$ |
$1.321552$ |
$973784889/524288$ |
$1.07245$ |
$3.09007$ |
$[1, -1, 1, -9505, 96497]$ |
\(y^2+xy+y=x^3-x^2-9505x+96497\) |
8.2.0.b.1 |
$[(119, 740)]$ |
| 312050.s1 |
312050s3 |
312050.s |
312050s |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 79^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$14220$ |
$144$ |
$3$ |
$1.971133533$ |
$1$ |
|
$2$ |
$80870400$ |
$3.669300$ |
$15698803397448457/20709376$ |
$1.00146$ |
$5.78343$ |
$[1, 0, 0, -813907663, 8937314253817]$ |
\(y^2+xy=x^3-813907663x+8937314253817\) |
3.4.0.a.1, 9.12.0.a.1, 60.8.0-3.a.1.3, 180.24.0.?, 316.2.0.?, $\ldots$ |
$[(678, 2895485)]$ |
| 312050.s2 |
312050s2 |
312050.s |
312050s |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 79^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$14220$ |
$144$ |
$3$ |
$5.913400601$ |
$1$ |
|
$0$ |
$26956800$ |
$3.119995$ |
$59914169497/31554496$ |
$0.96798$ |
$4.79724$ |
$[1, 0, 0, -12719288, 5234840192]$ |
\(y^2+xy=x^3-12719288x+5234840192\) |
3.12.0.a.1, 60.24.0-3.a.1.2, 316.2.0.?, 711.36.0.?, 948.24.1.?, $\ldots$ |
$[(-79774/19, 615577486/19)]$ |
| 312050.s3 |
312050s1 |
312050.s |
312050s |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 79^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$14220$ |
$144$ |
$3$ |
$17.74020180$ |
$1$ |
|
$0$ |
$8985600$ |
$2.570690$ |
$11134383337/316$ |
$0.90937$ |
$4.66422$ |
$[1, 0, 0, -7258413, -7527224683]$ |
\(y^2+xy=x^3-7258413x-7527224683\) |
3.4.0.a.1, 9.12.0.a.1, 60.8.0-3.a.1.4, 180.24.0.?, 316.2.0.?, $\ldots$ |
$[(-108651664862/8341, 502411025006997/8341)]$ |
| 312050.t1 |
312050t4 |
312050.t |
312050t |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{3} \cdot 5^{10} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$9480$ |
$384$ |
$9$ |
$13.59652376$ |
$1$ |
|
$0$ |
$14742000$ |
$2.812649$ |
$-349938025/8$ |
$1.05078$ |
$4.89959$ |
$[1, 0, 0, -19584388, 33358034392]$ |
\(y^2+xy=x^3-19584388x+33358034392\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(110074734/95, 1082280697258/95)]$ |
| 312050.t2 |
312050t3 |
312050.t |
312050t |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2 \cdot 5^{10} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$9480$ |
$384$ |
$9$ |
$40.78957128$ |
$1$ |
|
$0$ |
$4914000$ |
$2.263344$ |
$-25/2$ |
$1.09044$ |
$3.98913$ |
$[1, 0, 0, -81263, 105206267]$ |
\(y^2+xy=x^3-81263x+105206267\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(33247001541533609411/158364430, 188984639983906021868944955401/158364430)]$ |
| 312050.t3 |
312050t1 |
312050.t |
312050t |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{5} \cdot 5^{2} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$9480$ |
$384$ |
$9$ |
$8.157914256$ |
$1$ |
|
$0$ |
$982800$ |
$1.458624$ |
$-121945/32$ |
$0.94334$ |
$3.28204$ |
$[1, 0, 0, -18853, -1202783]$ |
\(y^2+xy=x^3-18853x-1202783\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(259683/14, 129779945/14)]$ |
| 312050.t4 |
312050t2 |
312050.t |
312050t |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 79^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 79^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$9480$ |
$384$ |
$9$ |
$2.719304752$ |
$1$ |
|
$2$ |
$2948400$ |
$2.007931$ |
$46969655/32768$ |
$1.06296$ |
$3.72310$ |
$[1, 0, 0, 137172, 8876432]$ |
\(y^2+xy=x^3+137172x+8876432\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(11896, 1292180)]$ |
