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 |
51.a2 |
51a1 |
51.a |
51a |
$2$ |
$3$ |
\( 3 \cdot 17 \) |
\( - 3^{3} \cdot 17 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2$ |
$-0.808530$ |
$32768/459$ |
$1.01165$ |
$3.44409$ |
$[0, 1, 1, 1, -1]$ |
\(y^2+y=x^3+x^2+x-1\) |
3.8.0-3.a.1.2, 102.16.0.? |
$[]$ |
153.b2 |
153b1 |
153.b |
153b |
$2$ |
$3$ |
\( 3^{2} \cdot 17 \) |
\( - 3^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$102$ |
$16$ |
$0$ |
$0.112889738$ |
$1$ |
|
$8$ |
$16$ |
$-0.259223$ |
$32768/459$ |
$1.01165$ |
$4.00229$ |
$[0, 0, 1, 6, 27]$ |
\(y^2+y=x^3+6x+27\) |
3.8.0-3.a.1.1, 102.16.0.? |
$[(5, 13)]$ |
816.g2 |
816f1 |
816.g |
816f |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$144$ |
$-0.115383$ |
$32768/459$ |
$1.01165$ |
$3.26044$ |
$[0, -1, 0, 11, 61]$ |
\(y^2=x^3-x^2+11x+61\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 102.8.0.?, 204.16.0.? |
$[]$ |
867.c2 |
867a1 |
867.c |
867a |
$2$ |
$3$ |
\( 3 \cdot 17^{2} \) |
\( - 3^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$102$ |
$16$ |
$0$ |
$0.678637823$ |
$1$ |
|
$2$ |
$576$ |
$0.608077$ |
$32768/459$ |
$1.01165$ |
$4.51451$ |
$[0, -1, 1, 193, -5023]$ |
\(y^2+y=x^3-x^2+193x-5023\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 51.8.0-3.a.1.2, 102.16.0.? |
$[(57, 433)]$ |
1275.d2 |
1275a1 |
1275.d |
1275a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 17 \) |
\( - 3^{3} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$216$ |
$-0.003811$ |
$32768/459$ |
$1.01165$ |
$3.24419$ |
$[0, -1, 1, 17, -132]$ |
\(y^2+y=x^3-x^2+17x-132\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 102.8.0.?, 510.16.0.? |
$[]$ |
2448.c2 |
2448s1 |
2448.c |
2448s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.433924$ |
$32768/459$ |
$1.01165$ |
$3.64615$ |
$[0, 0, 0, 96, -1744]$ |
\(y^2=x^3+96x-1744\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 102.8.0.?, 204.16.0.? |
$[]$ |
2499.d2 |
2499d1 |
2499.d |
2499d |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$0.601674454$ |
$1$ |
|
$4$ |
$576$ |
$0.164425$ |
$32768/459$ |
$1.01165$ |
$3.22318$ |
$[0, -1, 1, 33, 335]$ |
\(y^2+y=x^3-x^2+33x+335\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 102.8.0.?, 714.16.0.? |
$[(5, 24)]$ |
2601.f2 |
2601g1 |
2601.f |
2601g |
$2$ |
$3$ |
\( 3^{2} \cdot 17^{2} \) |
\( - 3^{9} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$102$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$1.157383$ |
$32768/459$ |
$1.01165$ |
$4.72205$ |
$[0, 0, 1, 1734, 133879]$ |
\(y^2+y=x^3+1734x+133879\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 51.8.0-3.a.1.1, 102.16.0.? |
$[]$ |
3264.a2 |
3264e1 |
3264.a |
3264e |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 17 \) |
\( - 2^{6} \cdot 3^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.180919587$ |
$1$ |
|
$2$ |
$288$ |
$-0.461956$ |
$32768/459$ |
$1.01165$ |
$2.18775$ |
$[0, -1, 0, 3, -9]$ |
\(y^2=x^3-x^2+3x-9\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 102.8.0.?, 408.16.0.? |
$[(2, 1)]$ |
3264.r2 |
3264z1 |
3264.r |
3264z |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 17 \) |
\( - 2^{6} \cdot 3^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$0.450514168$ |
$1$ |
|
$4$ |
$288$ |
$-0.461956$ |
$32768/459$ |
$1.01165$ |
$2.18775$ |
$[0, 1, 0, 3, 9]$ |
\(y^2=x^3+x^2+3x+9\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 102.8.0.?, 408.16.0.? |
$[(0, 3)]$ |
3825.i2 |
3825e1 |
3825.i |
3825e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 3^{9} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.545495$ |
$32768/459$ |
$1.01165$ |
$3.61119$ |
$[0, 0, 1, 150, 3406]$ |
\(y^2+y=x^3+150x+3406\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 102.8.0.?, 510.16.0.? |
$[]$ |
6171.e2 |
6171g1 |
6171.e |
6171g |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 17 \) |
\( - 3^{3} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2700$ |
$0.390418$ |
$32768/459$ |
$1.01165$ |
$3.20007$ |
$[0, 1, 1, 81, 1370]$ |
\(y^2+y=x^3+x^2+81x+1370\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 102.8.0.?, 1122.16.0.? |
$[]$ |
7497.j2 |
7497f1 |
7497.j |
7497f |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 3^{9} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$1.941535043$ |
$1$ |
|
$2$ |
$4608$ |
$0.713732$ |
$32768/459$ |
$1.01165$ |
$3.56510$ |
$[0, 0, 1, 294, -9347]$ |
\(y^2+y=x^3+294x-9347\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 102.8.0.?, 714.16.0.? |
$[(133, 1543)]$ |
8619.g2 |
8619i1 |
8619.g |
8619i |
$2$ |
$3$ |
\( 3 \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1326$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4680$ |
$0.473945$ |
$32768/459$ |
$1.01165$ |
$3.19269$ |
$[0, 1, 1, 113, -2180]$ |
\(y^2+y=x^3+x^2+113x-2180\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 102.8.0.?, 1326.16.0.? |
$[]$ |
9792.by2 |
9792y1 |
9792.by |
9792y |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.457902089$ |
$1$ |
|
$2$ |
$2304$ |
$0.087350$ |
$32768/459$ |
$1.01165$ |
$2.64352$ |
$[0, 0, 0, 24, 218]$ |
\(y^2=x^3+24x+218\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 102.8.0.?, 408.16.0.? |
$[(7, 27)]$ |
9792.cd2 |
9792cc1 |
9792.cd |
9792cc |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{9} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.087350$ |
$32768/459$ |
$1.01165$ |
$2.64352$ |
$[0, 0, 0, 24, -218]$ |
\(y^2=x^3+24x-218\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 102.8.0.?, 408.16.0.? |
$[]$ |
13872.w2 |
13872bn1 |
13872.w |
13872bn |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$0.625354968$ |
$1$ |
|
$2$ |
$41472$ |
$1.301224$ |
$32768/459$ |
$1.01165$ |
$4.07424$ |
$[0, 1, 0, 3083, 318371]$ |
\(y^2=x^3+x^2+3083x+318371\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 102.8.0.?, 204.16.0.? |
$[(62, 867)]$ |
18411.g2 |
18411c1 |
18411.g |
18411c |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 19^{2} \) |
\( - 3^{3} \cdot 17 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1938$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14364$ |
$0.663690$ |
$32768/459$ |
$1.01165$ |
$3.17780$ |
$[0, -1, 1, 241, 6842]$ |
\(y^2+y=x^3-x^2+241x+6842\) |
3.4.0.a.1, 57.8.0-3.a.1.1, 102.8.0.?, 1938.16.0.? |
$[]$ |
18513.j2 |
18513n1 |
18513.j |
18513n |
$2$ |
$3$ |
\( 3^{2} \cdot 11^{2} \cdot 17 \) |
\( - 3^{9} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$2.037054073$ |
$1$ |
|
$4$ |
$21600$ |
$0.939724$ |
$32768/459$ |
$1.01165$ |
$3.51311$ |
$[0, 0, 1, 726, -36270]$ |
\(y^2+y=x^3+726x-36270\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 102.8.0.?, 1122.16.0.? |
$[(26, 13)]$ |
20400.ce2 |
20400dm1 |
20400.ce |
20400dm |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15552$ |
$0.689337$ |
$32768/459$ |
$1.01165$ |
$3.17596$ |
$[0, 1, 0, 267, 8163]$ |
\(y^2=x^3+x^2+267x+8163\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 102.8.0.?, 1020.16.0.? |
$[]$ |
21675.m2 |
21675p1 |
21675.m |
21675p |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62208$ |
$1.412796$ |
$32768/459$ |
$1.01165$ |
$4.02622$ |
$[0, 1, 1, 4817, -618206]$ |
\(y^2+y=x^3+x^2+4817x-618206\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 102.8.0.?, 255.8.0.?, 510.16.0.? |
$[]$ |
25857.k2 |
25857q1 |
25857.k |
25857q |
$2$ |
$3$ |
\( 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{9} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1326$ |
$16$ |
$0$ |
$2.439976997$ |
$1$ |
|
$2$ |
$37440$ |
$1.023251$ |
$32768/459$ |
$1.01165$ |
$3.49624$ |
$[0, 0, 1, 1014, 59868]$ |
\(y^2+y=x^3+1014x+59868\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 102.8.0.?, 1326.16.0.? |
$[(38, 391)]$ |
26979.i2 |
26979p1 |
26979.i |
26979p |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 23^{2} \) |
\( - 3^{3} \cdot 17 \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21780$ |
$0.759217$ |
$32768/459$ |
$1.01165$ |
$3.17114$ |
$[0, 1, 1, 353, 12397]$ |
\(y^2+y=x^3+x^2+353x+12397\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 102.8.0.?, 2346.16.0.? |
$[]$ |
39984.cc2 |
39984dv1 |
39984.cc |
39984dv |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$2.002219448$ |
$1$ |
|
$2$ |
$41472$ |
$0.857573$ |
$32768/459$ |
$1.01165$ |
$3.16479$ |
$[0, 1, 0, 523, -21981]$ |
\(y^2=x^3+x^2+523x-21981\) |
3.4.0.a.1, 84.8.0.?, 102.8.0.?, 1428.16.0.? |
$[(30, 147)]$ |
41616.cn2 |
41616cn1 |
41616.cn |
41616cn |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$4.535985388$ |
$1$ |
|
$2$ |
$331776$ |
$1.850531$ |
$32768/459$ |
$1.01165$ |
$4.27315$ |
$[0, 0, 0, 27744, -8568272]$ |
\(y^2=x^3+27744x-8568272\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 102.8.0.?, 204.16.0.? |
$[(497, 11313)]$ |
42483.s2 |
42483q1 |
42483.s |
42483q |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$1.825241202$ |
$1$ |
|
$0$ |
$165888$ |
$1.581032$ |
$32768/459$ |
$1.01165$ |
$3.96142$ |
$[0, 1, 1, 9441, 1703909]$ |
\(y^2+y=x^3+x^2+9441x+1703909\) |
3.4.0.a.1, 42.8.0-3.a.1.1, 102.8.0.?, 357.8.0.?, 714.16.0.? |
$[(1149/2, 42479/2)]$ |
42891.f2 |
42891e1 |
42891.f |
42891e |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 29^{2} \) |
\( - 3^{3} \cdot 17 \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2958$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.875118$ |
$32768/459$ |
$1.01165$ |
$3.16370$ |
$[0, -1, 1, 561, -24802]$ |
\(y^2+y=x^3-x^2+561x-24802\) |
3.4.0.a.1, 87.8.0.?, 102.8.0.?, 2958.16.0.? |
$[]$ |
49011.b2 |
49011a1 |
49011.b |
49011a |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 31^{2} \) |
\( - 3^{3} \cdot 17 \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3162$ |
$16$ |
$0$ |
$2.962070360$ |
$1$ |
|
$2$ |
$61200$ |
$0.908463$ |
$32768/459$ |
$1.01165$ |
$3.16168$ |
$[0, -1, 1, 641, 29853]$ |
\(y^2+y=x^3-x^2+641x+29853\) |
3.4.0.a.1, 93.8.0.?, 102.8.0.?, 3162.16.0.? |
$[(579, 13934)]$ |
55233.h2 |
55233p1 |
55233.h |
55233p |
$2$ |
$3$ |
\( 3^{2} \cdot 17 \cdot 19^{2} \) |
\( - 3^{9} \cdot 17 \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1938$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$114912$ |
$1.212996$ |
$32768/459$ |
$1.01165$ |
$3.46174$ |
$[0, 0, 1, 2166, -186908]$ |
\(y^2+y=x^3+2166x-186908\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 102.8.0.?, 1938.16.0.? |
$[]$ |
55488.ca2 |
55488cv1 |
55488.ca |
55488cv |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$0.954651$ |
$32768/459$ |
$1.01165$ |
$3.17649$ |
$[0, -1, 0, 771, 39411]$ |
\(y^2=x^3-x^2+771x+39411\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 102.8.0.?, 408.16.0.? |
$[]$ |
55488.eh2 |
55488bp1 |
55488.eh |
55488bp |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$0.954651$ |
$32768/459$ |
$1.01165$ |
$3.17649$ |
$[0, 1, 0, 771, -39411]$ |
\(y^2=x^3+x^2+771x-39411\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 102.8.0.?, 408.16.0.? |
$[]$ |
61200.h2 |
61200fc1 |
61200.h |
61200fc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$2.969048590$ |
$1$ |
|
$2$ |
$124416$ |
$1.238642$ |
$32768/459$ |
$1.01165$ |
$3.45745$ |
$[0, 0, 0, 2400, -218000]$ |
\(y^2=x^3+2400x-218000\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 102.8.0.?, 1020.16.0.? |
$[(89, 837)]$ |
62475.bt2 |
62475br1 |
62475.bt |
62475br |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1.336428240$ |
$1$ |
|
$4$ |
$62208$ |
$0.969144$ |
$32768/459$ |
$1.01165$ |
$3.15813$ |
$[0, 1, 1, 817, 43544]$ |
\(y^2+y=x^3+x^2+817x+43544\) |
3.4.0.a.1, 102.8.0.?, 105.8.0.?, 3570.16.0.? |
$[(-26, 73)]$ |
65025.z2 |
65025bi1 |
65025.z |
65025bi |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$1.889293109$ |
$1$ |
|
$8$ |
$497664$ |
$1.962103$ |
$32768/459$ |
$1.01165$ |
$4.22189$ |
$[0, 0, 1, 43350, 16734906]$ |
\(y^2+y=x^3+43350x+16734906\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 102.8.0.?, 255.8.0.?, 510.16.0.? |
$[(-34, 3901), (884, 27310)]$ |
69819.b2 |
69819e1 |
69819.b |
69819e |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 37^{2} \) |
\( - 3^{3} \cdot 17 \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3774$ |
$16$ |
$0$ |
$0.874432574$ |
$1$ |
|
$4$ |
$102816$ |
$0.996929$ |
$32768/459$ |
$1.01165$ |
$3.15655$ |
$[0, 1, 1, 913, -50818]$ |
\(y^2+y=x^3+x^2+913x-50818\) |
3.4.0.a.1, 102.8.0.?, 111.8.0.?, 3774.16.0.? |
$[(160, 2053)]$ |
80937.o2 |
80937i1 |
80937.o |
80937i |
$2$ |
$3$ |
\( 3^{2} \cdot 17 \cdot 23^{2} \) |
\( - 3^{9} \cdot 17 \cdot 23^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$6.237038236$ |
$1$ |
|
$0$ |
$174240$ |
$1.308523$ |
$32768/459$ |
$1.01165$ |
$3.44613$ |
$[0, 0, 1, 3174, -331551]$ |
\(y^2+y=x^3+3174x-331551\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 102.8.0.?, 2346.16.0.? |
$[(2201/5, 99176/5)]$ |
81600.g2 |
81600gt1 |
81600.g |
81600gt |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$2.756634358$ |
$1$ |
|
$2$ |
$31104$ |
$0.342763$ |
$32768/459$ |
$1.01165$ |
$2.41893$ |
$[0, -1, 0, 67, 987]$ |
\(y^2=x^3-x^2+67x+987\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 2040.16.0.? |
$[(-2, 29)]$ |
81600.ju2 |
81600ec1 |
81600.ju |
81600ec |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$4.138915273$ |
$1$ |
|
$2$ |
$31104$ |
$0.342763$ |
$32768/459$ |
$1.01165$ |
$2.41893$ |
$[0, 1, 0, 67, -987]$ |
\(y^2=x^3+x^2+67x-987\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 2040.16.0.? |
$[(124, 1389)]$ |
85731.a2 |
85731b1 |
85731.a |
85731b |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 41^{2} \) |
\( - 3^{3} \cdot 17 \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4182$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$140400$ |
$1.048256$ |
$32768/459$ |
$1.01165$ |
$3.15372$ |
$[0, -1, 1, 1121, -69933]$ |
\(y^2+y=x^3-x^2+1121x-69933\) |
3.4.0.a.1, 102.8.0.?, 123.8.0.?, 4182.16.0.? |
$[]$ |
94299.f2 |
94299a1 |
94299.f |
94299a |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 43^{2} \) |
\( - 3^{3} \cdot 17 \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4386$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$158508$ |
$1.072071$ |
$32768/459$ |
$1.01165$ |
$3.15244$ |
$[0, -1, 1, 1233, 79832]$ |
\(y^2+y=x^3-x^2+1233x+79832\) |
3.4.0.a.1, 102.8.0.?, 129.8.0.?, 4386.16.0.? |
$[]$ |
98736.cc2 |
98736cs1 |
98736.cc |
98736cs |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$194400$ |
$1.083565$ |
$32768/459$ |
$1.01165$ |
$3.15183$ |
$[0, -1, 0, 1291, -86403]$ |
\(y^2=x^3-x^2+1291x-86403\) |
3.4.0.a.1, 102.8.0.?, 132.8.0.?, 2244.16.0.? |
$[]$ |
104907.m2 |
104907j1 |
104907.m |
104907j |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 11^{6} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1122$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$777600$ |
$1.807024$ |
$32768/459$ |
$1.01165$ |
$3.88625$ |
$[0, -1, 1, 23313, 6591980]$ |
\(y^2+y=x^3-x^2+23313x+6591980\) |
3.4.0.a.1, 66.8.0-3.a.1.2, 102.8.0.?, 561.8.0.?, 1122.16.0.? |
$[]$ |
112659.g2 |
112659h1 |
112659.g |
112659h |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 47^{2} \) |
\( - 3^{3} \cdot 17 \cdot 47^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4794$ |
$16$ |
$0$ |
$0.953358339$ |
$1$ |
|
$4$ |
$208656$ |
$1.116545$ |
$32768/459$ |
$1.01165$ |
$3.15011$ |
$[0, 1, 1, 1473, 105275]$ |
\(y^2+y=x^3+x^2+1473x+105275\) |
3.4.0.a.1, 102.8.0.?, 141.8.0.?, 4794.16.0.? |
$[(219, 3313)]$ |
119952.ge2 |
119952fm1 |
119952.ge |
119952fm |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.406879$ |
$32768/459$ |
$1.01165$ |
$3.43112$ |
$[0, 0, 0, 4704, 598192]$ |
\(y^2=x^3+4704x+598192\) |
3.4.0.a.1, 84.8.0.?, 102.8.0.?, 1428.16.0.? |
$[]$ |
127449.o2 |
127449bc1 |
127449.o |
127449bc |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{9} \cdot 7^{6} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$0.939302907$ |
$1$ |
|
$4$ |
$1327104$ |
$2.130337$ |
$32768/459$ |
$1.01165$ |
$4.15194$ |
$[0, 0, 1, 84966, -45920583]$ |
\(y^2+y=x^3+84966x-45920583\) |
3.4.0.a.1, 42.8.0-3.a.1.2, 102.8.0.?, 357.8.0.?, 714.16.0.? |
$[(323, 3901)]$ |
128673.j2 |
128673e1 |
128673.j |
128673e |
$2$ |
$3$ |
\( 3^{2} \cdot 17 \cdot 29^{2} \) |
\( - 3^{9} \cdot 17 \cdot 29^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2958$ |
$16$ |
$0$ |
$1.739785096$ |
$1$ |
|
$8$ |
$387072$ |
$1.424425$ |
$32768/459$ |
$1.01165$ |
$3.42855$ |
$[0, 0, 1, 5046, 664600]$ |
\(y^2+y=x^3+5046x+664600\) |
3.4.0.a.1, 87.8.0.?, 102.8.0.?, 2958.16.0.? |
$[(232, 3784), (-58, 420)]$ |
137904.c2 |
137904z1 |
137904.c |
137904z |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 3^{3} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2652$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$336960$ |
$1.167091$ |
$32768/459$ |
$1.01165$ |
$3.14755$ |
$[0, -1, 0, 1803, 141309]$ |
\(y^2=x^3-x^2+1803x+141309\) |
3.4.0.a.1, 102.8.0.?, 156.8.0.?, 2652.16.0.? |
$[]$ |
143259.d2 |
143259d1 |
143259.d |
143259d |
$2$ |
$3$ |
\( 3 \cdot 17 \cdot 53^{2} \) |
\( - 3^{3} \cdot 17 \cdot 53^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5406$ |
$16$ |
$0$ |
$1.108117786$ |
$1$ |
|
$4$ |
$299520$ |
$1.176617$ |
$32768/459$ |
$1.01165$ |
$3.14707$ |
$[0, -1, 1, 1873, -150880]$ |
\(y^2+y=x^3-x^2+1873x-150880\) |
3.4.0.a.1, 102.8.0.?, 159.8.0.?, 5406.16.0.? |
$[(124, 1404)]$ |
146523.q2 |
146523q1 |
146523.q |
146523q |
$2$ |
$3$ |
\( 3 \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 13^{6} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1326$ |
$16$ |
$0$ |
$4.557635365$ |
$1$ |
|
$0$ |
$1347840$ |
$1.890553$ |
$32768/459$ |
$1.01165$ |
$3.86135$ |
$[0, -1, 1, 32561, -10904658]$ |
\(y^2+y=x^3-x^2+32561x-10904658\) |
3.4.0.a.1, 78.8.0.?, 102.8.0.?, 663.8.0.?, 1326.16.0.? |
$[(1720/3, 40591/3)]$ |
147033.i2 |
147033i1 |
147033.i |
147033i |
$2$ |
$3$ |
\( 3^{2} \cdot 17 \cdot 31^{2} \) |
\( - 3^{9} \cdot 17 \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3162$ |
$16$ |
$0$ |
$2.561059166$ |
$1$ |
|
$2$ |
$489600$ |
$1.457769$ |
$32768/459$ |
$1.01165$ |
$3.42375$ |
$[0, 0, 1, 5766, -811805]$ |
\(y^2+y=x^3+5766x-811805\) |
3.4.0.a.1, 93.8.0.?, 102.8.0.?, 3162.16.0.? |
$[(1147, 38920)]$ |