| 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 |
| 180336.a1 |
180336cn2 |
180336.a |
180336cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 13 \cdot 17^{3} \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$2.284265229$ |
$1$ |
|
$41$ |
$507904$ |
$0.951779$ |
$9365216434/1053$ |
$0.91524$ |
$3.22944$ |
$[0, -1, 0, -9480, 358416]$ |
\(y^2=x^3-x^2-9480x+358416\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(40, 204), (56, 4), (58, 18)]$ |
| 180336.a2 |
180336cn1 |
180336.a |
180336cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 13^{2} \cdot 17^{3} \) |
$3$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1.142132614$ |
$1$ |
|
$55$ |
$253952$ |
$0.605206$ |
$5771588/1521$ |
$0.82035$ |
$2.56140$ |
$[0, -1, 0, -640, 4816]$ |
\(y^2=x^3-x^2-640x+4816\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(-2, 78), (6, 34), (76, 624)]$ |
| 180336.b1 |
180336co1 |
180336.b |
180336co |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$6.188086064$ |
$1$ |
|
$3$ |
$2457600$ |
$1.952991$ |
$1909913257984/129730653$ |
$1.03790$ |
$3.97022$ |
$[0, -1, 0, -188235, -29468934]$ |
\(y^2=x^3-x^2-188235x-29468934\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(8030, 718454)]$ |
| 180336.b2 |
180336co2 |
180336.b |
180336co |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 13^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$12.37617212$ |
$1$ |
|
$1$ |
$4915200$ |
$2.299564$ |
$77366117936/1172914587$ |
$1.04122$ |
$4.20101$ |
$[0, -1, 0, 162900, -127084464]$ |
\(y^2=x^3-x^2+162900x-127084464\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(3882389/22, 7658033843/22)]$ |
| 180336.c1 |
180336y1 |
180336.c |
180336y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$3.890217073$ |
$1$ |
|
$2$ |
$456192$ |
$1.332874$ |
$181262952217/36846576$ |
$0.93816$ |
$3.29743$ |
$[0, -1, 0, -12472, -427664]$ |
\(y^2=x^3-x^2-12472x-427664\) |
156.2.0.? |
$[(-78, 254)]$ |
| 180336.d1 |
180336z2 |
180336.d |
180336z |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 13^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1321920$ |
$1.837070$ |
$-24960195328/6591$ |
$0.88835$ |
$4.08006$ |
$[0, -1, 0, -293142, 61201059]$ |
\(y^2=x^3-x^2-293142x+61201059\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 78.8.0.?, 156.16.0.? |
$[]$ |
| 180336.d2 |
180336z1 |
180336.d |
180336z |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$440640$ |
$1.287764$ |
$4352/351$ |
$0.77832$ |
$3.20152$ |
$[0, -1, 0, 1638, 299511]$ |
\(y^2=x^3-x^2+1638x+299511\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 78.8.0.?, 156.16.0.? |
$[]$ |
| 180336.e1 |
180336cp1 |
180336.e |
180336cp |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 13^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2467584$ |
$2.202209$ |
$36004308772/6591$ |
$0.90431$ |
$4.45393$ |
$[0, -1, 0, -1324872, 587309664]$ |
\(y^2=x^3-x^2-1324872x+587309664\) |
156.2.0.? |
$[]$ |
| 180336.f1 |
180336cq1 |
180336.f |
180336cq |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{13} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$7.918983249$ |
$1$ |
|
$0$ |
$209664$ |
$0.796405$ |
$34296366848/20726199$ |
$0.96035$ |
$2.70168$ |
$[0, -1, 0, 1128, 2691]$ |
\(y^2=x^3-x^2+1128x+2691\) |
78.2.0.? |
$[(-185/9, 7201/9)]$ |
| 180336.g1 |
180336cr3 |
180336.g |
180336cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 13^{4} \cdot 17^{7} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$4.082187511$ |
$1$ |
|
$23$ |
$5898240$ |
$2.590965$ |
$2753580869496292/39328497$ |
$0.95806$ |
$4.91486$ |
$[0, -1, 0, -8505944, 9551146368]$ |
\(y^2=x^3-x^2-8505944x+9551146368\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 34.6.0.a.1, 68.24.0-68.g.1.2, 104.24.0.?, $\ldots$ |
$[(1676, 468), (1702, 1222)]$ |
| 180336.g2 |
180336cr2 |
180336.g |
180336cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{2} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$884$ |
$48$ |
$0$ |
$16.32875004$ |
$1$ |
|
$11$ |
$2949120$ |
$2.244389$ |
$2927363579728/320445801$ |
$0.90371$ |
$4.23460$ |
$[0, -1, 0, -546884, 140353824]$ |
\(y^2=x^3-x^2-546884x+140353824\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 68.24.0-68.b.1.1, 884.48.0.? |
$[(244, 4624), (1365, 43992)]$ |
| 180336.g3 |
180336cr1 |
180336.g |
180336cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 13 \cdot 17^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$16.32875004$ |
$1$ |
|
$5$ |
$1474560$ |
$1.897816$ |
$618724784128/87947613$ |
$0.91771$ |
$3.87709$ |
$[0, -1, 0, -129279, -15496362]$ |
\(y^2=x^3-x^2-129279x-15496362\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(822, 20808), (-202, 1528)]$ |
| 180336.g4 |
180336cr4 |
180336.g |
180336cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{16} \cdot 13 \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$16.32875004$ |
$1$ |
|
$5$ |
$5898240$ |
$2.590965$ |
$1744147297148/9513325341$ |
$0.94948$ |
$4.48246$ |
$[0, -1, 0, 730496, 697291504]$ |
\(y^2=x^3-x^2+730496x+697291504\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, 884.24.0.?, $\ldots$ |
$[(-555, 10982), (381/2, 221663/2)]$ |
| 180336.h1 |
180336ba2 |
180336.h |
180336ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1990656$ |
$1.965302$ |
$6371214852688/77571$ |
$0.95945$ |
$4.29886$ |
$[0, -1, 0, -708724, -229410116]$ |
\(y^2=x^3-x^2-708724x-229410116\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
| 180336.h2 |
180336ba1 |
180336.h |
180336ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$995328$ |
$1.618727$ |
$26919436288/2738853$ |
$0.94113$ |
$3.61807$ |
$[0, -1, 0, -45469, -3372812]$ |
\(y^2=x^3-x^2-45469x-3372812\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
| 180336.i1 |
180336bb3 |
180336.i |
180336bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1.044932533$ |
$1$ |
|
$7$ |
$1310720$ |
$1.791388$ |
$37159393753/1053$ |
$1.11616$ |
$4.10289$ |
$[0, -1, 0, -321464, 70258608]$ |
\(y^2=x^3-x^2-321464x+70258608\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(346, 578)]$ |
| 180336.i2 |
180336bb4 |
180336.i |
180336bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$4.179730135$ |
$1$ |
|
$3$ |
$1310720$ |
$1.791388$ |
$822656953/85683$ |
$0.96086$ |
$3.78804$ |
$[0, -1, 0, -90264, -9422160]$ |
\(y^2=x^3-x^2-90264x-9422160\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(941, 27166)]$ |
| 180336.i3 |
180336bb2 |
180336.i |
180336bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$2.089865067$ |
$1$ |
|
$9$ |
$655360$ |
$1.444815$ |
$10218313/1521$ |
$0.91403$ |
$3.42545$ |
$[0, -1, 0, -20904, 1009584]$ |
\(y^2=x^3-x^2-20904x+1009584\) |
2.6.0.a.1, 12.12.0.a.1, 52.12.0.b.1, 68.12.0-2.a.1.1, 156.24.0.?, $\ldots$ |
$[(44, 416)]$ |
| 180336.i4 |
180336bb1 |
180336.i |
180336bb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3 \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$4.179730135$ |
$1$ |
|
$3$ |
$327680$ |
$1.098240$ |
$12167/39$ |
$0.85844$ |
$2.99409$ |
$[0, -1, 0, 2216, 84784]$ |
\(y^2=x^3-x^2+2216x+84784\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 78.6.0.?, 104.12.0.?, $\ldots$ |
$[(228, 3520)]$ |
| 180336.j1 |
180336cs2 |
180336.j |
180336cs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.438540$ |
$61918288/33813$ |
$0.82472$ |
$3.34522$ |
$[0, -1, 0, -15124, -164912]$ |
\(y^2=x^3-x^2-15124x-164912\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
| 180336.j2 |
180336cs1 |
180336.j |
180336cs |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$1.091967$ |
$14047232/8619$ |
$0.83052$ |
$2.99356$ |
$[0, -1, 0, 3661, -22146]$ |
\(y^2=x^3-x^2+3661x-22146\) |
2.3.0.a.1, 52.6.0.c.1, 102.6.0.?, 2652.12.0.? |
$[]$ |
| 180336.k1 |
180336bc4 |
180336.k |
180336bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 13^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$29.33710950$ |
$1$ |
|
$1$ |
$19660800$ |
$3.077831$ |
$986551739719628473/111045168$ |
$1.06555$ |
$5.51536$ |
$[0, -1, 0, -95899544, -361438555920]$ |
\(y^2=x^3-x^2-95899544x-361438555920\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[(67484108040301/67999, 364981738460466513806/67999)]$ |
| 180336.k2 |
180336bc3 |
180336.k |
180336bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{20} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$7.334277377$ |
$1$ |
|
$3$ |
$19660800$ |
$3.077831$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$4.97446$ |
$[0, -1, 0, -10817944, 4648481008]$ |
\(y^2=x^3-x^2-10817944x+4648481008\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(50802, 11426482)]$ |
| 180336.k3 |
180336bc2 |
180336.k |
180336bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$14.66855475$ |
$1$ |
|
$3$ |
$9830400$ |
$2.731258$ |
$242702053576633/2554695936$ |
$1.10395$ |
$4.82872$ |
$[0, -1, 0, -6008984, -5615763216]$ |
\(y^2=x^3-x^2-6008984x-5615763216\) |
2.6.0.a.1, 12.12.0.a.1, 52.12.0.b.1, 68.12.0-2.a.1.1, 156.24.0.?, $\ldots$ |
$[(35927365/53, 211051218826/53)]$ |
| 180336.k4 |
180336bc1 |
180336.k |
180336bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{28} \cdot 3^{5} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$29.33710950$ |
$1$ |
|
$1$ |
$4915200$ |
$2.384686$ |
$-822656953/207028224$ |
$1.08584$ |
$4.29020$ |
$[0, -1, 0, -90264, -217890576]$ |
\(y^2=x^3-x^2-90264x-217890576\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 78.6.0.?, 104.12.0.?, $\ldots$ |
$[(83245991368481/161756, 753430438074880157705/161756)]$ |
| 180336.l1 |
180336bd1 |
180336.l |
180336bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{11} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$3.058701346$ |
$1$ |
|
$2$ |
$304128$ |
$1.344765$ |
$62452050119/59875686$ |
$1.02251$ |
$3.20939$ |
$[0, -1, 0, 8744, -257936]$ |
\(y^2=x^3-x^2+8744x-257936\) |
24.2.0.b.1 |
$[(90, 1118)]$ |
| 180336.m1 |
180336be1 |
180336.m |
180336be |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1.545682790$ |
$1$ |
|
$4$ |
$36864$ |
$0.165068$ |
$83521/39$ |
$0.94173$ |
$2.09187$ |
$[0, -1, 0, -96, 192]$ |
\(y^2=x^3-x^2-96x+192\) |
156.2.0.? |
$[(2, 2)]$ |
| 180336.n1 |
180336bf1 |
180336.n |
180336bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{22} \cdot 3^{3} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$0.951664$ |
$2086979041/359424$ |
$0.89594$ |
$2.92856$ |
$[0, -1, 0, -2816, 49152]$ |
\(y^2=x^3-x^2-2816x+49152\) |
156.2.0.? |
$[]$ |
| 180336.o1 |
180336ct1 |
180336.o |
180336ct |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.597804963$ |
$1$ |
|
$3$ |
$147456$ |
$0.739432$ |
$256000/117$ |
$0.88864$ |
$2.66264$ |
$[0, -1, 0, -963, 5598]$ |
\(y^2=x^3-x^2-963x+5598\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(74, 578)]$ |
| 180336.o2 |
180336ct2 |
180336.o |
180336ct |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.195609927$ |
$1$ |
|
$3$ |
$294912$ |
$1.086006$ |
$686000/507$ |
$0.86569$ |
$2.97318$ |
$[0, -1, 0, 3372, 38544]$ |
\(y^2=x^3-x^2+3372x+38544\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(41, 494)]$ |
| 180336.p1 |
180336bg1 |
180336.p |
180336bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{29} \cdot 3^{19} \cdot 13^{5} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1091171520$ |
$5.175392$ |
$-3772118414306118217515625/56562751486929272832$ |
$1.09281$ |
$7.23802$ |
$[0, -1, 0, -99145036008, -12170496618713232]$ |
\(y^2=x^3-x^2-99145036008x-12170496618713232\) |
312.2.0.? |
$[]$ |
| 180336.q1 |
180336bh2 |
180336.q |
180336bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14155776$ |
$3.148724$ |
$621403856941038625/6310317312$ |
$0.99125$ |
$5.47716$ |
$[0, -1, 0, -82205568, -286849880064]$ |
\(y^2=x^3-x^2-82205568x-286849880064\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
| 180336.q2 |
180336bh1 |
180336.q |
180336bh |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{28} \cdot 3^{4} \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.802151$ |
$162995025390625/15251079168$ |
$1.05044$ |
$4.79582$ |
$[0, -1, 0, -5262208, -4252307456]$ |
\(y^2=x^3-x^2-5262208x-4252307456\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 180336.r1 |
180336bi1 |
180336.r |
180336bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.868613951$ |
$1$ |
|
$3$ |
$331776$ |
$1.244665$ |
$256000000/33813$ |
$0.93430$ |
$3.23341$ |
$[0, -1, 0, -9633, 322920]$ |
\(y^2=x^3-x^2-9633x+322920\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.b.1, 884.12.0.? |
$[(24, 324)]$ |
| 180336.r2 |
180336bi2 |
180336.r |
180336bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$7.737227902$ |
$1$ |
|
$1$ |
$663552$ |
$1.591240$ |
$59582000/232713$ |
$0.82425$ |
$3.48656$ |
$[0, -1, 0, 14932, 1678908]$ |
\(y^2=x^3-x^2+14932x+1678908\) |
2.3.0.a.1, 52.6.0.c.1, 68.6.0.a.1, 884.12.0.? |
$[(5297/4, 418689/4)]$ |
| 180336.s1 |
180336cu2 |
180336.s |
180336cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.451325570$ |
$1$ |
|
$3$ |
$1179648$ |
$1.789867$ |
$3822686500/304317$ |
$0.84928$ |
$3.80043$ |
$[0, -1, 0, -94888, -10416320]$ |
\(y^2=x^3-x^2-94888x-10416320\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(-147, 578)]$ |
| 180336.s2 |
180336cu1 |
180336.s |
180336cu |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.225662785$ |
$1$ |
|
$5$ |
$589824$ |
$1.443293$ |
$137842000/25857$ |
$0.78659$ |
$3.41135$ |
$[0, -1, 0, -19748, 884736]$ |
\(y^2=x^3-x^2-19748x+884736\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(380, 6936)]$ |
| 180336.t1 |
180336bj1 |
180336.t |
180336bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{22} \cdot 3^{10} \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$22118400$ |
$3.462139$ |
$771864882375147625/29358565696512$ |
$0.99298$ |
$5.49508$ |
$[0, -1, 0, -88367048, 309073775088]$ |
\(y^2=x^3-x^2-88367048x+309073775088\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 180336.t2 |
180336bj2 |
180336.t |
180336bj |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{20} \cdot 13^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$44236800$ |
$3.808712$ |
$55138849409108375/5449537181735712$ |
$1.04317$ |
$5.70128$ |
$[0, -1, 0, 36665912, 1113485826544]$ |
\(y^2=x^3-x^2+36665912x+1113485826544\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 180336.u1 |
180336cv2 |
180336.u |
180336cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$7.787951071$ |
$1$ |
|
$1$ |
$14155776$ |
$3.183907$ |
$253674278705546500/2058765672717$ |
$0.98136$ |
$5.28859$ |
$[0, -1, 0, -38416288, 91015525264]$ |
\(y^2=x^3-x^2-38416288x+91015525264\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(-25731/2, 2145247/2)]$ |
| 180336.u2 |
180336cv1 |
180336.u |
180336cv |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.893975535$ |
$1$ |
|
$3$ |
$7077888$ |
$2.837334$ |
$1008754689437602000/67254057$ |
$0.98116$ |
$5.28811$ |
$[0, -1, 0, -38341148, 91391646048]$ |
\(y^2=x^3-x^2-38341148x+91391646048\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(152972, 59781384)]$ |
| 180336.v1 |
180336cw1 |
180336.v |
180336cw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 13^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$8.835750831$ |
$1$ |
|
$3$ |
$4423680$ |
$2.597210$ |
$315042014258500/1262881737$ |
$0.94524$ |
$4.73573$ |
$[0, -1, 0, -4129328, -3217155696]$ |
\(y^2=x^3-x^2-4129328x-3217155696\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(22646, 3393606)]$ |
| 180336.v2 |
180336cw2 |
180336.v |
180336cw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{4} \cdot 13^{2} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$17.67150166$ |
$1$ |
|
$1$ |
$8847360$ |
$2.943783$ |
$-23040414103250/330419182041$ |
$0.98369$ |
$4.84540$ |
$[0, -1, 0, -2175688, -6271085744]$ |
\(y^2=x^3-x^2-2175688x-6271085744\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(268861762/109, 4397859415962/109)]$ |
| 180336.w1 |
180336cx1 |
180336.w |
180336cx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3 \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1.070864235$ |
$1$ |
|
$2$ |
$1674432$ |
$1.943296$ |
$5656750/6591$ |
$0.83488$ |
$3.78861$ |
$[0, -1, 0, 90072, -10504176]$ |
\(y^2=x^3-x^2+90072x-10504176\) |
312.2.0.? |
$[(2216, 105196)]$ |
| 180336.x1 |
180336bk1 |
180336.x |
180336bk |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{46} \cdot 3^{17} \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$194.8037543$ |
$1$ |
|
$0$ |
$2139395328$ |
$5.542717$ |
$298779371619116129414560801/4874288601508740071424$ |
$1.06889$ |
$7.59716$ |
$[0, -1, 0, -425787334560, 105421296634562304]$ |
\(y^2=x^3-x^2-425787334560x+105421296634562304\) |
156.2.0.? |
$[(7758973069587697672271879624267379479202657831109402512152601236171063293376476453034/5003380754824328550612281040947287165957, 7114618740912810805979237961013955279532841092696932133035684563582946536225327090787282541795779042874078283532135492540093846/5003380754824328550612281040947287165957)]$ |
| 180336.y1 |
180336bl1 |
180336.y |
180336bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$4.974410554$ |
$1$ |
|
$0$ |
$1028160$ |
$1.819162$ |
$-5331387136/28431$ |
$0.86948$ |
$3.95324$ |
$[0, -1, 0, -175230, 28421523]$ |
\(y^2=x^3-x^2-175230x+28421523\) |
78.2.0.? |
$[(-4043/3, 108953/3)]$ |
| 180336.z1 |
180336cy1 |
180336.z |
180336cy |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1.088744595$ |
$1$ |
|
$2$ |
$39168$ |
$0.319127$ |
$98116996/39$ |
$0.83308$ |
$2.56140$ |
$[0, -1, 0, -640, 6448]$ |
\(y^2=x^3-x^2-640x+6448\) |
156.2.0.? |
$[(14, 6)]$ |
| 180336.ba1 |
180336bm1 |
180336.ba |
180336bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 13^{5} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47589120$ |
$3.752441$ |
$51875959429369/29232640476$ |
$1.05981$ |
$5.63762$ |
$[0, -1, 0, -157047320, -122689450512]$ |
\(y^2=x^3-x^2-157047320x-122689450512\) |
156.2.0.? |
$[]$ |
| 180336.bb1 |
180336cz1 |
180336.bb |
180336cz |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 13 \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$744192$ |
$1.601564$ |
$-73984/39$ |
$0.69749$ |
$3.54998$ |
$[0, -1, 0, -27840, 2480883]$ |
\(y^2=x^3-x^2-27840x+2480883\) |
78.2.0.? |
$[]$ |
| 180336.bc1 |
180336bn1 |
180336.bc |
180336bn |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3 \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$4.926279972$ |
$1$ |
|
$2$ |
$3290112$ |
$2.332127$ |
$-2086979041/171366$ |
$0.89243$ |
$4.34413$ |
$[0, -1, 0, -813920, -301746816]$ |
\(y^2=x^3-x^2-813920x-301746816\) |
24.2.0.b.1 |
$[(372136, 227012968)]$ |
