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 |
510.c1 |
510d3 |
510.c |
510d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.102 |
2B |
$136$ |
$48$ |
$0$ |
$1.369591077$ |
$1$ |
|
$6$ |
$768$ |
$0.800533$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.09058$ |
$[1, 1, 1, -6541, -206341]$ |
\(y^2+xy+y=x^3+x^2-6541x-206341\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 68.12.0-4.c.1.1, 136.48.0.? |
$[(-47, 24)]$ |
1530.d1 |
1530f3 |
1530.d |
1530f |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$0.296951896$ |
$1$ |
|
$10$ |
$6144$ |
$1.349838$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.07701$ |
$[1, -1, 0, -58869, 5512333]$ |
\(y^2+xy=x^3-x^2-58869x+5512333\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 136.24.0.?, $\ldots$ |
$[(137, -1)]$ |
2550.n1 |
2550k3 |
2550.n |
2550k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$18432$ |
$1.605251$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.07199$ |
$[1, 0, 1, -163526, -25465552]$ |
\(y^2+xy+y=x^3-163526x-25465552\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.2, 136.24.0.?, $\ldots$ |
$[]$ |
4080.x1 |
4080bb3 |
4080.x |
4080bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.493681$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.56769$ |
$[0, 1, 0, -104656, 12996500]$ |
\(y^2=x^3+x^2-104656x+12996500\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 68.12.0-4.c.1.2, 136.48.0.? |
$[]$ |
7650.cn1 |
7650cf3 |
7650.cn |
7650cf |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.154556$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.06315$ |
$[1, -1, 1, -1471730, 687569897]$ |
\(y^2+xy+y=x^3-x^2-1471730x+687569897\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
8670.bb1 |
8670bb3 |
8670.bb |
8670bb |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.217140$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.06227$ |
$[1, 0, 0, -1890355, -1000519975]$ |
\(y^2+xy=x^3-1890355x-1000519975\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 136.48.0.? |
$[]$ |
12240.ce1 |
12240cc3 |
12240.ce |
12240cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$2.042988$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.61814$ |
$[0, 0, 0, -941907, -351847406]$ |
\(y^2=x^3-941907x-351847406\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 136.24.0.?, $\ldots$ |
$[]$ |
16320.bm1 |
16320ch3 |
16320.bm |
16320ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{21} \cdot 3^{2} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.840254$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.20073$ |
$[0, -1, 0, -418625, 104390625]$ |
\(y^2=x^3-x^2-418625x+104390625\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 136.48.0.? |
$[]$ |
16320.cl1 |
16320bn3 |
16320.cl |
16320bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{21} \cdot 3^{2} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.840254$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.20073$ |
$[0, 1, 0, -418625, -104390625]$ |
\(y^2=x^3+x^2-418625x-104390625\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 136.48.0.? |
$[]$ |
20400.g1 |
20400ca3 |
20400.g |
20400ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$2.298401$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.63780$ |
$[0, -1, 0, -2616408, 1629795312]$ |
\(y^2=x^3-x^2-2616408x+1629795312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 136.24.0.?, $\ldots$ |
$[]$ |
24990.cc1 |
24990cd4 |
24990.cc |
24990cd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$952$ |
$48$ |
$0$ |
$0.757764461$ |
$1$ |
|
$6$ |
$221184$ |
$1.773487$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.90277$ |
$[1, 0, 0, -320510, 69813372]$ |
\(y^2+xy=x^3-320510x+69813372\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.1, 136.24.0.?, $\ldots$ |
$[(334, 58)]$ |
26010.n1 |
26010o4 |
26010.n |
26010o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1769472$ |
$2.766445$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.05555$ |
$[1, -1, 0, -17013195, 27014039325]$ |
\(y^2+xy=x^3-x^2-17013195x+27014039325\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$ |
$[]$ |
43350.e1 |
43350n4 |
43350.e |
43350n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$680$ |
$48$ |
$0$ |
$12.16409530$ |
$1$ |
|
$0$ |
$5308416$ |
$3.021858$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.05289$ |
$[1, 1, 0, -47258875, -125064996875]$ |
\(y^2+xy=x^3+x^2-47258875x-125064996875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.6, $\ldots$ |
$[(-1437099/19, 11464117/19)]$ |
48960.b1 |
48960bt4 |
48960.b |
48960bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.389561$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.28204$ |
$[0, 0, 0, -3767628, 2814779248]$ |
\(y^2=x^3-3767628x+2814779248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[]$ |
48960.de1 |
48960el4 |
48960.de |
48960el |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 5^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$16.65392198$ |
$1$ |
|
$1$ |
$1179648$ |
$2.389561$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.28204$ |
$[0, 0, 0, -3767628, -2814779248]$ |
\(y^2=x^3-3767628x-2814779248\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$ |
$[(46531021/65, 312096581181/65)]$ |
61200.g1 |
61200gd4 |
61200.g |
61200gd |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.847706$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.67390$ |
$[0, 0, 0, -23547675, -43980925750]$ |
\(y^2=x^3-23547675x-43980925750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 120.24.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
61710.i1 |
61710c4 |
61710.i |
61710c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1496$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$983040$ |
$1.999481$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.74683$ |
$[1, 1, 0, -791463, 270682317]$ |
\(y^2+xy=x^3+x^2-791463x+270682317\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
69360.be1 |
69360cy4 |
69360.be |
69360cy |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$136$ |
$48$ |
$0$ |
$1.245840894$ |
$1$ |
|
$11$ |
$5308416$ |
$2.910286$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.67757$ |
$[0, -1, 0, -30245680, 64033278400]$ |
\(y^2=x^3-x^2-30245680x+64033278400\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 136.48.0.? |
$[(3160, 1200)]$ |
74970.y1 |
74970bd4 |
74970.y |
74970bd |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1769472$ |
$2.322796$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.01016$ |
$[1, -1, 0, -2884590, -1884961044]$ |
\(y^2+xy=x^3-x^2-2884590x-1884961044\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
81600.ew1 |
81600o4 |
81600.ew |
81600o |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{2} \cdot 5^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$680$ |
$48$ |
$0$ |
$21.81424256$ |
$1$ |
|
$1$ |
$3538944$ |
$2.644974$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.31447$ |
$[0, -1, 0, -10465633, -13027896863]$ |
\(y^2=x^3-x^2-10465633x-13027896863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[(-22298695992/3451, 7974984605489/3451)]$ |
81600.ff1 |
81600ii4 |
81600.ff |
81600ii |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{2} \cdot 5^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$680$ |
$48$ |
$0$ |
$4.991611919$ |
$1$ |
|
$5$ |
$3538944$ |
$2.644974$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.31447$ |
$[0, 1, 0, -10465633, 13027896863]$ |
\(y^2=x^3+x^2-10465633x+13027896863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.1, $\ldots$ |
$[(1874, 261)]$ |
86190.t1 |
86190r4 |
86190.t |
86190r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1768$ |
$48$ |
$0$ |
$5.069599848$ |
$1$ |
|
$2$ |
$1769472$ |
$2.083008$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.69548$ |
$[1, 1, 0, -1105432, -447803624]$ |
\(y^2+xy=x^3+x^2-1105432x-447803624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 104.24.0.?, 136.24.0.?, $\ldots$ |
$[(1461, 31802)]$ |
124950.h1 |
124950bd4 |
124950.h |
124950bd |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4760$ |
$48$ |
$0$ |
$3.649720518$ |
$1$ |
|
$4$ |
$5308416$ |
$2.578205$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.05325$ |
$[1, 1, 0, -8012750, 8726671500]$ |
\(y^2+xy=x^3+x^2-8012750x+8726671500\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 280.24.0.?, $\ldots$ |
$[(1651, 326)]$ |
130050.dw1 |
130050y3 |
130050.dw |
130050y |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{14} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$1.737051922$ |
$1$ |
|
$6$ |
$42467328$ |
$3.571163$ |
$30949975477232209/478125000$ |
$1.00249$ |
$6.04795$ |
$[1, -1, 1, -425329880, 3376329585747]$ |
\(y^2+xy+y=x^3-x^2-425329880x+3376329585747\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(9599, 417075)]$ |
184110.p1 |
184110be3 |
184110.p |
184110be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 17 \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2584$ |
$48$ |
$0$ |
$13.64434141$ |
$1$ |
|
$4$ |
$5308416$ |
$2.272751$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.58933$ |
$[1, 0, 1, -2361309, 1396401232]$ |
\(y^2+xy+y=x^3-2361309x+1396401232\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 152.24.0.?, $\ldots$ |
$[(980, 4383), (12430/3, 730597/3)]$ |
185130.fr1 |
185130w4 |
185130.fr |
185130w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7864320$ |
$2.548786$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.86034$ |
$[1, -1, 1, -7123172, -7315545729]$ |
\(y^2+xy+y=x^3-x^2-7123172x-7315545729\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
199920.dt1 |
199920cw4 |
199920.dt |
199920cw |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5308416$ |
$2.466637$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.74897$ |
$[0, -1, 0, -5128160, -4468055808]$ |
\(y^2=x^3-x^2-5128160x-4468055808\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 56.24.0-8.m.1.2, 136.24.0.?, $\ldots$ |
$[]$ |
208080.m1 |
208080br4 |
208080.m |
208080br |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{8} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$23.26866998$ |
$1$ |
|
$1$ |
$42467328$ |
$3.459595$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.70649$ |
$[0, 0, 0, -272211123, -1728626305678]$ |
\(y^2=x^3-272211123x-1728626305678\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$ |
$[(1154483172943/3913, 1207828215610104726/3913)]$ |
244800.bu1 |
244800bu4 |
244800.bu |
244800bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 5^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$28311552$ |
$3.194279$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.37516$ |
$[0, 0, 0, -94190700, -351847406000]$ |
\(y^2=x^3-94190700x-351847406000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
244800.rl1 |
244800rl3 |
244800.rl |
244800rl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{21} \cdot 3^{8} \cdot 5^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$2040$ |
$48$ |
$0$ |
$3.897415426$ |
$1$ |
|
$3$ |
$28311552$ |
$3.194279$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.37516$ |
$[0, 0, 0, -94190700, 351847406000]$ |
\(y^2=x^3-94190700x+351847406000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(4660, 118800)]$ |
258570.ec1 |
258570ec3 |
258570.ec |
258570ec |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{8} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$5304$ |
$48$ |
$0$ |
$4.723392033$ |
$1$ |
|
$2$ |
$14155776$ |
$2.632313$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.81047$ |
$[1, -1, 1, -9948893, 12080748957]$ |
\(y^2+xy+y=x^3-x^2-9948893x+12080748957\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 312.24.0.?, $\ldots$ |
$[(1937, 7662)]$ |
269790.bs1 |
269790bs3 |
269790.bs |
269790bs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 17 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$3128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9461760$ |
$2.368279$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.54077$ |
$[1, 1, 1, -3460200, 2475946785]$ |
\(y^2+xy+y=x^3+x^2-3460200x+2475946785\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
277440.cd1 |
277440cd4 |
277440.cd |
277440cd |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{21} \cdot 3^{2} \cdot 5^{8} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.110 |
2B |
$136$ |
$48$ |
$0$ |
$2.653967541$ |
$4$ |
$2$ |
$5$ |
$42467328$ |
$3.256859$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.38140$ |
$[0, -1, 0, -120982721, -512145244479]$ |
\(y^2=x^3-x^2-120982721x-512145244479\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 68.12.0-4.c.1.1, 136.48.0.? |
$[(-6352, 2601)]$ |
277440.fc1 |
277440fc3 |
277440.fc |
277440fc |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{21} \cdot 3^{2} \cdot 5^{8} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.114 |
2B |
$136$ |
$48$ |
$0$ |
$3.478083608$ |
$1$ |
|
$3$ |
$42467328$ |
$3.256859$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.38140$ |
$[0, 1, 0, -120982721, 512145244479]$ |
\(y^2=x^3+x^2-120982721x+512145244479\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 68.12.0-4.c.1.2, 136.48.0.? |
$[(1167, 610368)]$ |
308550.hy1 |
308550hy3 |
308550.hy |
308550hy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$7480$ |
$48$ |
$0$ |
$2.721472159$ |
$1$ |
|
$4$ |
$23592960$ |
$2.804199$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.90640$ |
$[1, 0, 0, -19786588, 33874862792]$ |
\(y^2+xy=x^3-19786588x+33874862792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 440.24.0.?, $\ldots$ |
$[(2606, 1964)]$ |
346800.lh1 |
346800lh3 |
346800.lh |
346800lh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{14} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$680$ |
$48$ |
$0$ |
$19.32280466$ |
$1$ |
|
$1$ |
$127401984$ |
$3.715004$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.71825$ |
$[0, 1, 0, -756142008, 8002647515988]$ |
\(y^2=x^3+x^2-756142008x+8002647515988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 40.24.0-8.m.1.8, $\ldots$ |
$[(15169547292/329, 1834810272940338/329)]$ |
374850.on1 |
374850on4 |
374850.on |
374850on |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{8} \cdot 5^{14} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$42467328$ |
$3.127514$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.13429$ |
$[1, -1, 1, -72114755, -235692245253]$ |
\(y^2+xy+y=x^3-x^2-72114755x-235692245253\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 840.24.0.?, $\ldots$ |
$[]$ |
424830.ff1 |
424830ff3 |
424830.ff |
424830ff |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$952$ |
$48$ |
$0$ |
$7.611867693$ |
$1$ |
|
$0$ |
$63700992$ |
$3.190094$ |
$30949975477232209/478125000$ |
$1.00249$ |
$5.14265$ |
$[1, 1, 1, -92627396, 343085724029]$ |
\(y^2+xy+y=x^3+x^2-92627396x+343085724029\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 28.12.0-4.c.1.1, 56.24.0-8.m.1.5, $\ldots$ |
$[(248867/2, 122498677/2)]$ |
428910.w1 |
428910w4 |
428910.w |
428910w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 17 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$3944$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$19267584$ |
$2.484180$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.48569$ |
$[1, 0, 1, -5500999, -4966434334]$ |
\(y^2+xy+y=x^3-5500999x-4966434334\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 232.24.0.?, $\ldots$ |
$[]$ |
430950.gv1 |
430950gv4 |
430950.gv |
430950gv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{14} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$8840$ |
$48$ |
$0$ |
$5.176888190$ |
$4$ |
$2$ |
$2$ |
$42467328$ |
$2.887726$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.85731$ |
$[1, 0, 0, -27635813, -55920181383]$ |
\(y^2+xy=x^3-27635813x-55920181383\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 520.24.0.?, $\ldots$ |
$[(32112, 5655819)]$ |
490110.ck1 |
490110ck3 |
490110.ck |
490110ck |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5^{8} \cdot 17 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4216$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$23224320$ |
$2.517525$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.47057$ |
$[1, 0, 0, -6285921, 6065382465]$ |
\(y^2+xy=x^3-6285921x+6065382465\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
493680.dx1 |
493680dx4 |
493680.dx |
493680dx |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{8} \cdot 11^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1496$ |
$48$ |
$0$ |
$25.82338219$ |
$1$ |
|
$5$ |
$23592960$ |
$2.692627$ |
$30949975477232209/478125000$ |
$1.00249$ |
$4.62837$ |
$[0, 1, 0, -12663416, -17348995116]$ |
\(y^2=x^3+x^2-12663416x-17348995116\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 88.24.0.?, 136.24.0.?, $\ldots$ |
$[(13564, 1518750), (7740, 590238)]$ |