| 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 |
| 30345.a1 |
30345o1 |
30345.a |
30345o |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.255440844$ |
$1$ |
|
$8$ |
$215424$ |
$1.586624$ |
$7229403136/19845$ |
$0.87057$ |
$4.39587$ |
$[0, -1, 1, -76970, 8225408]$ |
\(y^2+y=x^3-x^2-76970x+8225408\) |
10.2.0.a.1 |
$[(482, 9103)]$ |
| 30345.b1 |
30345z1 |
30345.b |
30345z |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.156392830$ |
$1$ |
|
$8$ |
$12672$ |
$0.170018$ |
$7229403136/19845$ |
$0.87057$ |
$2.74872$ |
$[0, 1, 1, -266, 1580]$ |
\(y^2+y=x^3+x^2-266x+1580\) |
10.2.0.a.1 |
$[(7, 10)]$ |
| 30345.c1 |
30345c6 |
30345.c |
30345c |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.125 |
2B |
$5712$ |
$192$ |
$1$ |
$17.46495788$ |
$1$ |
|
$0$ |
$2359296$ |
$2.977814$ |
$40832710302042509761/91556816413125$ |
$1.06564$ |
$6.02257$ |
$[1, 1, 1, -20732866, -36274177462]$ |
\(y^2+xy+y=x^3+x^2-20732866x-36274177462\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0-8.bb.2.7, 42.6.0.a.1, $\ldots$ |
$[(-80310317/178, 2129121333/178)]$ |
| 30345.c2 |
30345c4 |
30345.c |
30345c |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.109 |
2Cs |
$2856$ |
$192$ |
$1$ |
$8.732478944$ |
$1$ |
|
$2$ |
$1179648$ |
$2.631241$ |
$25288177725059761/14387797265625$ |
$1.10504$ |
$5.30682$ |
$[1, 1, 1, -1767241, -118109962]$ |
\(y^2+xy+y=x^3+x^2-1767241x-118109962\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.10, 68.24.0-4.b.1.1, 84.24.0.?, $\ldots$ |
$[(-2477/2, 219989/2)]$ |
| 30345.c3 |
30345c2 |
30345.c |
30345c |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.11 |
2Cs |
$2856$ |
$192$ |
$1$ |
$4.366239472$ |
$1$ |
|
$4$ |
$589824$ |
$2.284668$ |
$6610905152742241/35128130625$ |
$0.94538$ |
$5.17682$ |
$[1, 1, 1, -1129996, 459743804]$ |
\(y^2+xy+y=x^3+x^2-1129996x+459743804\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.e.2.15, 68.48.0-68.c.1.4, 136.96.0.?, $\ldots$ |
$[(-509, 30310)]$ |
| 30345.c4 |
30345c1 |
30345.c |
30345c |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.33 |
2B |
$5712$ |
$192$ |
$1$ |
$2.183119736$ |
$1$ |
|
$7$ |
$294912$ |
$1.938095$ |
$6585576176607121/187425$ |
$0.94525$ |
$5.17645$ |
$[1, 1, 1, -1128551, 460985348]$ |
\(y^2+xy+y=x^3+x^2-1128551x+460985348\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.e.1.15, 34.6.0.a.1, $\ldots$ |
$[(609, -473)]$ |
| 30345.c5 |
30345c3 |
30345.c |
30345c |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{8} \cdot 5^{2} \cdot 7^{8} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.182 |
2B |
$5712$ |
$192$ |
$1$ |
$2.183119736$ |
$1$ |
|
$0$ |
$1179648$ |
$2.631241$ |
$-629004249876241/16074715228425$ |
$0.98451$ |
$5.31808$ |
$[1, 1, 1, -515871, 958167654]$ |
\(y^2+xy+y=x^3+x^2-515871x+958167654\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.6, 68.24.0-68.h.1.1, 136.96.0.?, $\ldots$ |
$[(871/2, 233215/2)]$ |
| 30345.c6 |
30345c5 |
30345.c |
30345c |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3 \cdot 5^{16} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.174 |
2B |
$5712$ |
$192$ |
$1$ |
$17.46495788$ |
$1$ |
|
$0$ |
$2359296$ |
$2.977814$ |
$1573196002879828319/926055908203125$ |
$1.02075$ |
$5.70705$ |
$[1, 1, 1, 7002464, -931938586]$ |
\(y^2+xy+y=x^3+x^2+7002464x-931938586\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 16.48.0-16.e.2.3, 68.12.0-4.c.1.1, $\ldots$ |
$[(22591363/94, 151396777483/94)]$ |
| 30345.d1 |
30345g6 |
30345.d |
30345g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3 \cdot 5 \cdot 7^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.537857$ |
$1375634265228629281/24990412335$ |
$1.04808$ |
$5.69404$ |
$[1, 1, 1, -6696136, -6672050806]$ |
\(y^2+xy+y=x^3+x^2-6696136x-6672050806\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.3, 40.24.0-8.n.1.7, $\ldots$ |
$[ ]$ |
| 30345.d2 |
30345g4 |
30345.d |
30345g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$2.191284$ |
$20751759537944401/418359375$ |
$0.95142$ |
$5.28766$ |
$[1, 1, 1, -1654531, 818440778]$ |
\(y^2+xy+y=x^3+x^2-1654531x+818440778\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.4, 28.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 30345.d3 |
30345g3 |
30345.d |
30345g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$589824$ |
$2.191284$ |
$369543396484081/45120132225$ |
$1.10652$ |
$4.89735$ |
$[1, 1, 1, -432061, -97277686]$ |
\(y^2+xy+y=x^3+x^2-432061x-97277686\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.7, 40.24.0-4.b.1.2, 56.24.0-4.b.1.5, $\ldots$ |
$[ ]$ |
| 30345.d4 |
30345g2 |
30345.d |
30345g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$294912$ |
$1.844709$ |
$5602762882081/716900625$ |
$0.98003$ |
$4.49146$ |
$[1, 1, 1, -106936, 11834264]$ |
\(y^2+xy+y=x^3+x^2-106936x+11834264\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.8, 28.24.0-4.b.1.2, 40.24.0-4.b.1.3, $\ldots$ |
$[ ]$ |
| 30345.d5 |
30345g1 |
30345.d |
30345g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{8} \cdot 5^{2} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.498137$ |
$4733169839/19518975$ |
$0.87668$ |
$3.98141$ |
$[1, 1, 1, 10109, 972488]$ |
\(y^2+xy+y=x^3+x^2+10109x+972488\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 40.24.0-8.n.1.8, $\ldots$ |
$[ ]$ |
| 30345.d6 |
30345g5 |
30345.d |
30345g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3 \cdot 5 \cdot 7^{2} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$28560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1179648$ |
$2.537857$ |
$1145725929069119/5127181719135$ |
$0.96557$ |
$5.19177$ |
$[1, 1, 1, 630014, -499166866]$ |
\(y^2+xy+y=x^3+x^2+630014x-499166866\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 30.6.0.a.1, 48.24.0-8.n.1.2, $\ldots$ |
$[ ]$ |
| 30345.e1 |
30345f2 |
30345.e |
30345f |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$940032$ |
$2.625671$ |
$24170156844497/1191196125$ |
$1.04228$ |
$5.45668$ |
$[1, 1, 1, -2959366, -1875442666]$ |
\(y^2+xy+y=x^3+x^2-2959366x-1875442666\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[ ]$ |
| 30345.e2 |
30345f1 |
30345.e |
30345f |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$470016$ |
$2.279099$ |
$1284365503/48234375$ |
$1.07064$ |
$4.90579$ |
$[1, 1, 1, 111259, -114132166]$ |
\(y^2+xy+y=x^3+x^2+111259x-114132166\) |
2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.? |
$[ ]$ |
| 30345.f1 |
30345m4 |
30345.f |
30345m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 5 \cdot 7 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.911757$ |
$530044731605089/26309115$ |
$0.93057$ |
$4.93230$ |
$[1, 1, 1, -487260, 130706322]$ |
\(y^2+xy+y=x^3+x^2-487260x+130706322\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 140.12.0.?, 280.24.0.?, $\ldots$ |
$[ ]$ |
| 30345.f2 |
30345m3 |
30345.f |
30345m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{8} \cdot 5 \cdot 7^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.911757$ |
$17032120495489/1339001685$ |
$0.90955$ |
$4.59919$ |
$[1, 1, 1, -154910, -21879898]$ |
\(y^2+xy+y=x^3+x^2-154910x-21879898\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 170.6.0.?, 280.24.0.?, 340.24.0.?, $\ldots$ |
$[ ]$ |
| 30345.f3 |
30345m2 |
30345.f |
30345m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2380$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$147456$ |
$1.565184$ |
$151334226289/28676025$ |
$1.02382$ |
$4.14151$ |
$[1, 1, 1, -32085, 1800762]$ |
\(y^2+xy+y=x^3+x^2-32085x+1800762\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 340.24.0.?, 476.24.0.?, $\ldots$ |
$[ ]$ |
| 30345.f4 |
30345m1 |
30345.f |
30345m |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{4} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.218609$ |
$302111711/669375$ |
$0.83568$ |
$3.63992$ |
$[1, 1, 1, 4040, 167912]$ |
\(y^2+xy+y=x^3+x^2+4040x+167912\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 238.6.0.?, 280.24.0.?, 476.24.0.?, $\ldots$ |
$[ ]$ |
| 30345.g1 |
30345q2 |
30345.g |
30345q |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{11} \cdot 5^{12} \cdot 7^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$4.320760517$ |
$1$ |
|
$4$ |
$34467840$ |
$4.457870$ |
$63953244990201015504593/5088175635498046875$ |
$1.04088$ |
$7.55896$ |
$[1, 1, 1, -4093169430, -93611649792600]$ |
\(y^2+xy+y=x^3+x^2-4093169430x-93611649792600\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(-34032, 2521703)]$ |
| 30345.g2 |
30345q1 |
30345.g |
30345q |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{22} \cdot 5^{6} \cdot 7^{3} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$8.641521035$ |
$1$ |
|
$3$ |
$17233920$ |
$4.111298$ |
$16098893047132187167/168182866341984375$ |
$1.04624$ |
$7.03079$ |
$[1, 1, 1, 258446625, -6603697742508]$ |
\(y^2+xy+y=x^3+x^2+258446625x-6603697742508\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(66722, 17507466)]$ |
| 30345.h1 |
30345r2 |
30345.h |
30345r |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$0.624920396$ |
$1$ |
|
$6$ |
$12288$ |
$0.356452$ |
$208527857/91875$ |
$0.87030$ |
$2.67967$ |
$[1, 1, 1, -210, -660]$ |
\(y^2+xy+y=x^3+x^2-210x-660\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(18, 33)]$ |
| 30345.h2 |
30345r1 |
30345.h |
30345r |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1.249840792$ |
$1$ |
|
$5$ |
$6144$ |
$0.009879$ |
$2048383/1575$ |
$0.80887$ |
$2.23172$ |
$[1, 1, 1, 45, -48]$ |
\(y^2+xy+y=x^3+x^2+45x-48\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(2, 6)]$ |
| 30345.i1 |
30345v4 |
30345.i |
30345v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{3} \cdot 5 \cdot 7^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.130257$ |
$115650783909361/27072079335$ |
$0.92769$ |
$4.78479$ |
$[1, 0, 0, -293341, 47165426]$ |
\(y^2+xy=x^3-293341x+47165426\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0.h.1, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 30345.i2 |
30345v2 |
30345.i |
30345v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$221184$ |
$1.783682$ |
$4347507044161/258084225$ |
$0.89881$ |
$4.46688$ |
$[1, 0, 0, -98266, -11240029]$ |
\(y^2+xy=x^3-98266x-11240029\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 68.12.0-2.a.1.1, 420.24.0.?, $\ldots$ |
$[ ]$ |
| 30345.i3 |
30345v1 |
30345.i |
30345v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{3} \cdot 5 \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$110592$ |
$1.437107$ |
$4158523459441/16065$ |
$0.89697$ |
$4.46257$ |
$[1, 0, 0, -96821, -11603880]$ |
\(y^2+xy=x^3-96821x-11603880\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 136.12.0.?, $\ldots$ |
$[ ]$ |
| 30345.i4 |
30345v3 |
30345.i |
30345v |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{4} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.130257$ |
$1833318007919/39525924375$ |
$0.95071$ |
$4.73112$ |
$[1, 0, 0, 73689, -46353240]$ |
\(y^2+xy=x^3+73689x-46353240\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 68.12.0-4.c.1.1, 120.12.0.?, $\ldots$ |
$[ ]$ |
| 30345.j1 |
30345u2 |
30345.j |
30345u |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$208896$ |
$1.773060$ |
$208527857/91875$ |
$0.87030$ |
$4.32682$ |
$[1, 0, 0, -60696, -2816835]$ |
\(y^2+xy=x^3-60696x-2816835\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
| 30345.j2 |
30345u1 |
30345.j |
30345u |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$104448$ |
$1.426485$ |
$2048383/1575$ |
$0.80887$ |
$3.87887$ |
$[1, 0, 0, 12999, -325944]$ |
\(y^2+xy=x^3+12999x-325944\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
| 30345.k1 |
30345t2 |
30345.k |
30345t |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{11} \cdot 5^{12} \cdot 7^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2027520$ |
$3.041260$ |
$63953244990201015504593/5088175635498046875$ |
$1.04088$ |
$5.91180$ |
$[1, 0, 0, -14163216, -19054700379]$ |
\(y^2+xy=x^3-14163216x-19054700379\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
| 30345.k2 |
30345t1 |
30345.k |
30345t |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{22} \cdot 5^{6} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1013760$ |
$2.694687$ |
$16098893047132187167/168182866341984375$ |
$1.04624$ |
$5.38364$ |
$[1, 0, 0, 894279, -1344074760]$ |
\(y^2+xy=x^3+894279x-1344074760\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
| 30345.l1 |
30345bf4 |
30345.l |
30345bf |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$4.705575430$ |
$1$ |
|
$2$ |
$884736$ |
$2.562988$ |
$25351269426118370449/27551475$ |
$0.98384$ |
$5.97639$ |
$[1, 0, 0, -17687095, -28632233938]$ |
\(y^2+xy=x^3-17687095x-28632233938\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 204.24.0.?, 952.24.0.?, $\ldots$ |
$[(6314, 330638)]$ |
| 30345.l2 |
30345bf3 |
30345.l |
30345bf |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{3} \cdot 5^{8} \cdot 7 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$1.176393857$ |
$1$ |
|
$6$ |
$884736$ |
$2.562988$ |
$12010404962647729/6166198828125$ |
$0.97579$ |
$5.23467$ |
$[1, 0, 0, -1378825, -209447500]$ |
\(y^2+xy=x^3-1378825x-209447500\) |
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.?, $\ldots$ |
$[(1775, 53300)]$ |
| 30345.l3 |
30345bf2 |
30345.l |
30345bf |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$2.352787715$ |
$1$ |
|
$8$ |
$442368$ |
$2.216412$ |
$6193921595708449/6452105625$ |
$0.94493$ |
$5.17051$ |
$[1, 0, 0, -1105720, -447212713]$ |
\(y^2+xy=x^3-1105720x-447212713\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 204.24.0.?, 476.24.0.?, $\ldots$ |
$[(-601, 878)]$ |
| 30345.l4 |
30345bf1 |
30345.l |
30345bf |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{12} \cdot 5^{2} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$4.705575430$ |
$1$ |
|
$7$ |
$221184$ |
$1.869841$ |
$-656008386769/1581036975$ |
$0.91083$ |
$4.44272$ |
$[1, 0, 0, -52315, -10471000]$ |
\(y^2+xy=x^3-52315x-10471000\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 238.6.0.?, 408.24.0.?, $\ldots$ |
$[(1385, 50045)]$ |
| 30345.m1 |
30345bg2 |
30345.m |
30345bg |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$0.771416807$ |
$1$ |
|
$6$ |
$55296$ |
$1.209064$ |
$24170156844497/1191196125$ |
$1.04228$ |
$3.80953$ |
$[1, 0, 0, -10240, -382333]$ |
\(y^2+xy=x^3-10240x-382333\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(-61, 158)]$ |
| 30345.m2 |
30345bg1 |
30345.m |
30345bg |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1.542833615$ |
$1$ |
|
$5$ |
$27648$ |
$0.862491$ |
$1284365503/48234375$ |
$1.07064$ |
$3.25864$ |
$[1, 0, 0, 385, -23208]$ |
\(y^2+xy=x^3+385x-23208\) |
2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.? |
$[(49, 313)]$ |
| 30345.n1 |
30345e1 |
30345.n |
30345e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{8} \cdot 5 \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470016$ |
$2.165012$ |
$11728027648/11252115$ |
$0.96073$ |
$4.71728$ |
$[0, -1, 1, 232549, 34932476]$ |
\(y^2+y=x^3-x^2+232549x+34932476\) |
1190.2.0.? |
$[ ]$ |
| 30345.o1 |
30345i2 |
30345.o |
30345i |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$456192$ |
$2.228508$ |
$-209906535145406464/6559875$ |
$1.03595$ |
$5.51188$ |
$[0, -1, 1, -3578205, -2604036922]$ |
\(y^2+y=x^3-x^2-3578205x-2604036922\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 210.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[ ]$ |
| 30345.o2 |
30345i1 |
30345.o |
30345i |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$1.679201$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.26275$ |
$[0, -1, 1, -40845, -4121539]$ |
\(y^2+y=x^3-x^2-40845x-4121539\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 210.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[ ]$ |
| 30345.p1 |
30345w1 |
30345.p |
30345w |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 5^{5} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1.267737977$ |
$1$ |
|
$2$ |
$69120$ |
$1.368938$ |
$-4878401536/3346875$ |
$0.87578$ |
$3.88447$ |
$[0, 1, 1, -10211, 583745]$ |
\(y^2+y=x^3+x^2-10211x+583745\) |
1190.2.0.? |
$[(181, 2167)]$ |
| 30345.q1 |
30345bd1 |
30345.q |
30345bd |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{8} \cdot 5 \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.452984122$ |
$1$ |
|
$4$ |
$27648$ |
$0.748407$ |
$11728027648/11252115$ |
$0.96073$ |
$3.07013$ |
$[0, 1, 1, 805, 7394]$ |
\(y^2+y=x^3+x^2+805x+7394\) |
1190.2.0.? |
$[(28, 229)]$ |
| 30345.r1 |
30345bc1 |
30345.r |
30345bc |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{3} \cdot 17^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$0.292418037$ |
$1$ |
|
$6$ |
$12096000$ |
$3.939476$ |
$-11926249134908509075308544/2246680441062421875$ |
$1.05575$ |
$7.24201$ |
$[0, 1, 1, -1375597035, 19640181457964]$ |
\(y^2+y=x^3+x^2-1375597035x+19640181457964\) |
1190.2.0.? |
$[(40896, 5637667)]$ |
| 30345.s1 |
30345d1 |
30345.s |
30345d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{15} \cdot 5 \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$3414960$ |
$3.239780$ |
$-72628961394279272329/24608375505$ |
$1.07573$ |
$6.62743$ |
$[1, 1, 0, -166083248, -823898033163]$ |
\(y^2+xy=x^3+x^2-166083248x-823898033163\) |
420.2.0.? |
$[ ]$ |
| 30345.t1 |
30345b4 |
30345.t |
30345b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$4.441051266$ |
$1$ |
|
$0$ |
$81920$ |
$1.250645$ |
$157551496201/13125$ |
$0.96087$ |
$4.14542$ |
$[1, 1, 0, -32518, -2270453]$ |
\(y^2+xy=x^3+x^2-32518x-2270453\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 42.6.0.a.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(-417/2, 511/2)]$ |
| 30345.t2 |
30345b2 |
30345.t |
30345b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$2.220525633$ |
$1$ |
|
$6$ |
$40960$ |
$0.904071$ |
$47045881/11025$ |
$1.04751$ |
$3.35897$ |
$[1, 1, 0, -2173, -30992]$ |
\(y^2+xy=x^3+x^2-2173x-30992\) |
2.6.0.a.1, 20.12.0.a.1, 68.12.0-2.a.1.1, 84.12.0.?, 340.24.0.?, $\ldots$ |
$[(-32, 100)]$ |
| 30345.t3 |
30345b1 |
30345.t |
30345b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3 \cdot 5 \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$4.441051266$ |
$1$ |
|
$3$ |
$20480$ |
$0.557497$ |
$1771561/105$ |
$0.96659$ |
$3.04123$ |
$[1, 1, 0, -728, 6867]$ |
\(y^2+xy=x^3+x^2-728x+6867\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 136.12.0.?, 168.12.0.?, $\ldots$ |
$[(82, 671)]$ |
| 30345.t4 |
30345b3 |
30345.t |
30345b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$4.441051266$ |
$1$ |
|
$0$ |
$81920$ |
$1.250645$ |
$590589719/972405$ |
$0.94478$ |
$3.66347$ |
$[1, 1, 0, 5052, -185607]$ |
\(y^2+xy=x^3+x^2+5052x-185607\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 68.12.0-4.c.1.2, 168.12.0.?, $\ldots$ |
$[(1279/2, 45539/2)]$ |
| 30345.u1 |
30345a2 |
30345.u |
30345a |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 17^{16} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$65.64660582$ |
$1$ |
|
$0$ |
$11612160$ |
$3.874809$ |
$216486375407331255135001/27004994294227023375$ |
$1.01697$ |
$6.85353$ |
$[1, 1, 0, -361520943, -2343460232862]$ |
\(y^2+xy=x^3+x^2-361520943x-2343460232862\) |
2.3.0.a.1, 60.6.0.a.1, 476.6.0.?, 7140.12.0.? |
$[(-860785434670557075456611226959/10408472073304, 191389611458395544283310321213322639159617699/10408472073304)]$ |
