| 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 |
| 3312.a1 |
3312i2 |
3312.a |
3312i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$0.639850866$ |
$1$ |
|
$7$ |
$2048$ |
$0.483531$ |
$19307236/1587$ |
$1.01848$ |
$3.73818$ |
$[0, 0, 0, -507, -4070]$ |
\(y^2=x^3-507x-4070\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(-13, 18)]$ |
| 3312.a2 |
3312i1 |
3312.a |
3312i |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.279701733$ |
$1$ |
|
$7$ |
$1024$ |
$0.136958$ |
$21296/207$ |
$0.81409$ |
$3.06748$ |
$[0, 0, 0, 33, -290]$ |
\(y^2=x^3+33x-290\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(14, 54)]$ |
| 3312.b1 |
3312r2 |
3312.b |
3312r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{17} \cdot 3^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.150545$ |
$545138290809/16928$ |
$1.08081$ |
$5.17362$ |
$[0, 0, 0, -24507, -1476630]$ |
\(y^2=x^3-24507x-1476630\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[]$ |
| 3312.b2 |
3312r1 |
3312.b |
3312r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.803971$ |
$-116930169/23552$ |
$1.03422$ |
$4.16828$ |
$[0, 0, 0, -1467, -25110]$ |
\(y^2=x^3-1467x-25110\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[]$ |
| 3312.c1 |
3312j2 |
3312.c |
3312j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.498959$ |
$949104/529$ |
$1.02705$ |
$3.60208$ |
$[0, 0, 0, -351, -486]$ |
\(y^2=x^3-351x-486\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
| 3312.c2 |
3312j1 |
3312.c |
3312j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{9} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.152385$ |
$3538944/23$ |
$1.16643$ |
$3.42238$ |
$[0, 0, 0, -216, 1215]$ |
\(y^2=x^3-216x+1215\) |
2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[]$ |
| 3312.d1 |
3312p4 |
3312.d |
3312p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{14} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$0.893729284$ |
$1$ |
|
$7$ |
$6144$ |
$1.297468$ |
$1666957239793/301806$ |
$1.06466$ |
$5.31151$ |
$[0, 0, 0, -35571, 2581810]$ |
\(y^2=x^3-35571x+2581810\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 184.24.0.?, $\ldots$ |
$[(113, 72)]$ |
| 3312.d2 |
3312p3 |
3312.d |
3312p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{8} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$552$ |
$48$ |
$0$ |
$3.574917136$ |
$1$ |
|
$3$ |
$6144$ |
$1.297468$ |
$135559106353/5037138$ |
$0.97631$ |
$5.00192$ |
$[0, 0, 0, -15411, -712334]$ |
\(y^2=x^3-15411x-712334\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ |
$[(143, 90)]$ |
| 3312.d3 |
3312p2 |
3312.d |
3312p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{14} \cdot 3^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$552$ |
$48$ |
$0$ |
$1.787458568$ |
$1$ |
|
$11$ |
$3072$ |
$0.950894$ |
$545338513/171396$ |
$0.94447$ |
$4.32141$ |
$[0, 0, 0, -2451, 31570]$ |
\(y^2=x^3-2451x+31570\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 92.12.0.?, $\ldots$ |
$[(-9, 230)]$ |
| 3312.d4 |
3312p1 |
3312.d |
3312p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$552$ |
$48$ |
$0$ |
$0.893729284$ |
$1$ |
|
$7$ |
$1536$ |
$0.604321$ |
$2924207/3312$ |
$0.89878$ |
$3.67635$ |
$[0, 0, 0, 429, 3346]$ |
\(y^2=x^3+429x+3346\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$ |
$[(-1, 54)]$ |
| 3312.e1 |
3312g3 |
3312.e |
3312g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{9} \cdot 23^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$2.287238913$ |
$1$ |
|
$7$ |
$6144$ |
$1.168377$ |
$45989074372/7555707$ |
$0.96263$ |
$4.69752$ |
$[0, 0, 0, -6771, 181474]$ |
\(y^2=x^3-6771x+181474\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 184.24.0.?, 552.48.0.? |
$[(-85, 378)]$ |
| 3312.e2 |
3312g2 |
3312.e |
3312g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{12} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$276$ |
$48$ |
$0$ |
$4.574477827$ |
$1$ |
|
$5$ |
$3072$ |
$0.821804$ |
$4135597648/385641$ |
$1.11158$ |
$4.22930$ |
$[0, 0, 0, -1911, -29450]$ |
\(y^2=x^3-1911x-29450\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 92.24.0.?, 276.48.0.? |
$[(557, 13104)]$ |
| 3312.e3 |
3312g1 |
3312.e |
3312g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$9.148955655$ |
$1$ |
|
$1$ |
$1536$ |
$0.475230$ |
$61604313088/621$ |
$1.06623$ |
$4.22048$ |
$[0, 0, 0, -1866, -31025]$ |
\(y^2=x^3-1866x-31025\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 138.6.0.?, 184.24.0.?, $\ldots$ |
$[(23999/13, 3520440/13)]$ |
| 3312.e4 |
3312g4 |
3312.e |
3312g |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{18} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$2.287238913$ |
$1$ |
|
$5$ |
$6144$ |
$1.168377$ |
$1640689628/12223143$ |
$0.98661$ |
$4.59154$ |
$[0, 0, 0, 2229, -139574]$ |
\(y^2=x^3+2229x-139574\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[(41, 144)]$ |
| 3312.f1 |
3312f2 |
3312.f |
3312f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1.076530649$ |
$1$ |
|
$7$ |
$1536$ |
$0.419759$ |
$2315250/529$ |
$0.89506$ |
$3.56203$ |
$[0, 0, 0, -315, 1674]$ |
\(y^2=x^3-315x+1674\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(15, 18)]$ |
| 3312.f2 |
3312f1 |
3312.f |
3312f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$0.538265324$ |
$1$ |
|
$9$ |
$768$ |
$0.073185$ |
$13500/23$ |
$0.90383$ |
$2.92380$ |
$[0, 0, 0, 45, 162]$ |
\(y^2=x^3+45x+162\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(3, 18)]$ |
| 3312.g1 |
3312m2 |
3312.g |
3312m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$276$ |
$16$ |
$0$ |
$5.034962399$ |
$1$ |
|
$2$ |
$720$ |
$0.279343$ |
$-42592000/12167$ |
$0.87185$ |
$3.37219$ |
$[0, 0, 0, -165, -997]$ |
\(y^2=x^3-165x-997\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 276.16.0.? |
$[(146, 1757)]$ |
| 3312.g2 |
3312m1 |
3312.g |
3312m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$276$ |
$16$ |
$0$ |
$1.678320799$ |
$1$ |
|
$2$ |
$240$ |
$-0.269963$ |
$32000/23$ |
$0.71982$ |
$2.43516$ |
$[0, 0, 0, 15, 11]$ |
\(y^2=x^3+15x+11\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 276.16.0.? |
$[(2, 7)]$ |
| 3312.h1 |
3312n4 |
3312.h |
3312n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{18} \cdot 3^{7} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$276$ |
$96$ |
$1$ |
$5.635271550$ |
$1$ |
|
$3$ |
$18432$ |
$1.938463$ |
$50591419971625/28422890688$ |
$1.07125$ |
$5.73257$ |
$[0, 0, 0, -110955, 2430362]$ |
\(y^2=x^3-110955x+2430362\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.h.1.3, 92.6.0.?, $\ldots$ |
$[(1543, 59202)]$ |
| 3312.h2 |
3312n2 |
3312.h |
3312n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{14} \cdot 3^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$276$ |
$96$ |
$1$ |
$1.878423850$ |
$1$ |
|
$5$ |
$6144$ |
$1.389156$ |
$21081759765625/57132$ |
$1.12484$ |
$5.62457$ |
$[0, 0, 0, -82875, 9182954]$ |
\(y^2=x^3-82875x+9182954\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.h.1.1, 92.6.0.?, $\ldots$ |
$[(143, 506)]$ |
| 3312.h3 |
3312n1 |
3312.h |
3312n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{12} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$276$ |
$96$ |
$1$ |
$0.939211925$ |
$1$ |
|
$7$ |
$3072$ |
$1.042583$ |
$-4956477625/268272$ |
$0.95072$ |
$4.60474$ |
$[0, 0, 0, -5115, 147242]$ |
\(y^2=x^3-5115x+147242\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.2, 46.6.0.a.1, $\ldots$ |
$[(13, 288)]$ |
| 3312.h4 |
3312n3 |
3312.h |
3312n |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{24} \cdot 3^{8} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$276$ |
$96$ |
$1$ |
$2.817635775$ |
$1$ |
|
$5$ |
$9216$ |
$1.591890$ |
$752329532375/448524288$ |
$1.05431$ |
$5.21336$ |
$[0, 0, 0, 27285, 301466]$ |
\(y^2=x^3+27285x+301466\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.4, 46.6.0.a.1, $\ldots$ |
$[(7, 702)]$ |
| 3312.i1 |
3312e1 |
3312.i |
3312e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$7.094106431$ |
$1$ |
|
$2$ |
$672$ |
$0.162443$ |
$-1149984000/23$ |
$0.95837$ |
$3.72932$ |
$[0, 0, 0, -495, -4239]$ |
\(y^2=x^3-495x-4239\) |
46.2.0.a.1 |
$[(1192, 41147)]$ |
| 3312.j1 |
3312d2 |
3312.j |
3312d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{13} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.320652134$ |
$1$ |
|
$3$ |
$14336$ |
$1.718628$ |
$10963069081334500/1156923$ |
$1.02886$ |
$6.22511$ |
$[0, 0, 0, -419835, 104704666]$ |
\(y^2=x^3-419835x+104704666\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(299, 2430)]$ |
| 3312.j2 |
3312d1 |
3312.j |
3312d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{20} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.641304269$ |
$1$ |
|
$3$ |
$7168$ |
$1.372053$ |
$-10627137250000/110008287$ |
$1.04721$ |
$5.20017$ |
$[0, 0, 0, -26175, 1644478]$ |
\(y^2=x^3-26175x+1644478\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(113, 360)]$ |
| 3312.k1 |
3312l2 |
3312.k |
3312l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{12} \cdot 3^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.618302418$ |
$1$ |
|
$3$ |
$2048$ |
$0.715060$ |
$413493625/1587$ |
$0.92463$ |
$4.28726$ |
$[0, 0, 0, -2235, -40534]$ |
\(y^2=x^3-2235x-40534\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(55, 54)]$ |
| 3312.k2 |
3312l1 |
3312.k |
3312l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.309151209$ |
$1$ |
|
$7$ |
$1024$ |
$0.368486$ |
$-15625/207$ |
$0.99061$ |
$3.42240$ |
$[0, 0, 0, -75, -1222]$ |
\(y^2=x^3-75x-1222\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(31, 162)]$ |
| 3312.l1 |
3312k2 |
3312.l |
3312k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.659127593$ |
$1$ |
|
$3$ |
$384$ |
$-0.050348$ |
$949104/529$ |
$1.02705$ |
$2.78883$ |
$[0, 0, 0, -39, 18]$ |
\(y^2=x^3-39x+18\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(-6, 6)]$ |
| 3312.l2 |
3312k1 |
3312.l |
3312k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{3} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.318255187$ |
$1$ |
|
$3$ |
$192$ |
$-0.396921$ |
$3538944/23$ |
$1.16643$ |
$2.60913$ |
$[0, 0, 0, -24, -45]$ |
\(y^2=x^3-24x-45\) |
2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[(45, 300)]$ |
| 3312.m1 |
3312a2 |
3312.m |
3312a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.986779$ |
$80919167474/14283$ |
$0.96612$ |
$4.85275$ |
$[0, 0, 0, -10299, -402230]$ |
\(y^2=x^3-10299x-402230\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[]$ |
| 3312.m2 |
3312a1 |
3312.m |
3312a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{12} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.640205$ |
$-28756228/16767$ |
$0.89435$ |
$3.87332$ |
$[0, 0, 0, -579, -7598]$ |
\(y^2=x^3-579x-7598\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[]$ |
| 3312.n1 |
3312o2 |
3312.n |
3312o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1.501187941$ |
$1$ |
|
$5$ |
$3072$ |
$0.837901$ |
$3463512697/3174$ |
$0.94552$ |
$4.54949$ |
$[0, 0, 0, -4539, 117610]$ |
\(y^2=x^3-4539x+117610\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[(47, 90)]$ |
| 3312.n2 |
3312o1 |
3312.n |
3312o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$0.750593970$ |
$1$ |
|
$7$ |
$1536$ |
$0.491328$ |
$-389017/828$ |
$0.87759$ |
$3.61784$ |
$[0, 0, 0, -219, 2698]$ |
\(y^2=x^3-219x+2698\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[(-1, 54)]$ |
| 3312.o1 |
3312c1 |
3312.o |
3312c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$-0.190813$ |
$-562432/23$ |
$0.75822$ |
$2.79725$ |
$[0, 0, 0, -39, 97]$ |
\(y^2=x^3-39x+97\) |
46.2.0.a.1 |
$[]$ |
| 3312.p1 |
3312b4 |
3312.p |
3312b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{7} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$1.011965$ |
$1378334691074/69$ |
$1.07977$ |
$5.20254$ |
$[0, 0, 0, -26499, 1660322]$ |
\(y^2=x^3-26499x+1660322\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.y.1.16, 184.24.0.?, $\ldots$ |
$[]$ |
| 3312.p2 |
3312b3 |
3312.p |
3312b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{11} \cdot 3^{7} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$1.011965$ |
$1522096994/839523$ |
$1.08605$ |
$4.36253$ |
$[0, 0, 0, -2739, -11950]$ |
\(y^2=x^3-2739x-11950\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[]$ |
| 3312.p3 |
3312b2 |
3312.p |
3312b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( 2^{10} \cdot 3^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.665391$ |
$676449508/4761$ |
$0.99194$ |
$4.17696$ |
$[0, 0, 0, -1659, 25850]$ |
\(y^2=x^3-1659x+25850\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.3, 92.12.0.?, $\ldots$ |
$[]$ |
| 3312.p4 |
3312b1 |
3312.p |
3312b |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{10} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.318818$ |
$-35152/1863$ |
$0.89850$ |
$3.34748$ |
$[0, 0, 0, -39, 902]$ |
\(y^2=x^3-39x+902\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$ |
$[]$ |
| 3312.q1 |
3312q1 |
3312.q |
3312q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$336$ |
$-0.272107$ |
$-6912/23$ |
$0.66890$ |
$2.48168$ |
$[0, 0, 0, -9, 27]$ |
\(y^2=x^3-9x+27\) |
46.2.0.a.1 |
$[]$ |
| 3312.r1 |
3312h1 |
3312.r |
3312h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.534470704$ |
$1$ |
|
$2$ |
$480$ |
$-0.278755$ |
$-256/23$ |
$0.98486$ |
$2.46269$ |
$[0, 0, 0, -3, 25]$ |
\(y^2=x^3-3x+25\) |
46.2.0.a.1 |
$[(0, 5)]$ |
