| 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 |
| 8112.a1 |
8112i2 |
8112.a |
8112i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$624$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.712502$ |
$34909201168/81$ |
$1.02428$ |
$4.16794$ |
$[0, -1, 0, -5620, -160304]$ |
\(y^2=x^3-x^2-5620x-160304\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[]$ |
| 8112.a2 |
8112i1 |
8112.a |
8112i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$624$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.365928$ |
$141150208/6561$ |
$1.03967$ |
$3.24769$ |
$[0, -1, 0, -355, -2354]$ |
\(y^2=x^3-x^2-355x-2354\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[]$ |
| 8112.b1 |
8112d1 |
8112.b |
8112d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$52$ |
$16$ |
$0$ |
$0.570319044$ |
$1$ |
|
$6$ |
$1536$ |
$0.057616$ |
$69212/81$ |
$0.89849$ |
$2.58061$ |
$[0, -1, 0, 48, -144]$ |
\(y^2=x^3-x^2+48x-144\) |
4.8.0.b.1, 52.16.0-4.b.1.1 |
$[(6, 18)]$ |
| 8112.c1 |
8112v1 |
8112.c |
8112v |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.825874$ |
$-156116857/186624$ |
$1.01025$ |
$3.71444$ |
$[0, -1, 0, -992, -20736]$ |
\(y^2=x^3-x^2-992x-20736\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.2, 78.8.0.?, $\ldots$ |
$[]$ |
| 8112.c2 |
8112v2 |
8112.c |
8112v |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{36} \cdot 3^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$312$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.375181$ |
$93603087383/150994944$ |
$1.05810$ |
$4.36511$ |
$[0, -1, 0, 8368, 391104]$ |
\(y^2=x^3-x^2+8368x+391104\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 24.16.0.b.1, 78.8.0.?, $\ldots$ |
$[]$ |
| 8112.d1 |
8112z2 |
8112.d |
8112z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$7.432226117$ |
$1$ |
|
$3$ |
$29952$ |
$1.375088$ |
$1882384/3$ |
$1.07544$ |
$4.78583$ |
$[0, -1, 0, -35884, 2624764]$ |
\(y^2=x^3-x^2-35884x+2624764\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(79205, 22290762)]$ |
| 8112.d2 |
8112z1 |
8112.d |
8112z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.716113058$ |
$1$ |
|
$3$ |
$14976$ |
$1.028513$ |
$16384/9$ |
$1.27279$ |
$3.95076$ |
$[0, -1, 0, -2929, 14728]$ |
\(y^2=x^3-x^2-2929x+14728\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(52, 18)]$ |
| 8112.e1 |
8112g2 |
8112.e |
8112g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.497730912$ |
$1$ |
|
$23$ |
$2304$ |
$0.220772$ |
$907924/9$ |
$0.92429$ |
$3.14909$ |
$[0, -1, 0, -264, 1728]$ |
\(y^2=x^3-x^2-264x+1728\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(-4, 52), (8, 8)]$ |
| 8112.e2 |
8112g1 |
8112.e |
8112g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.990923649$ |
$1$ |
|
$11$ |
$1152$ |
$-0.125801$ |
$-16/3$ |
$0.96944$ |
$2.42153$ |
$[0, -1, 0, -4, 64]$ |
\(y^2=x^3-x^2-4x+64\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(0, 8), (12, 40)]$ |
| 8112.f1 |
8112b3 |
8112.f |
8112b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3 \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$7.274024845$ |
$1$ |
|
$3$ |
$21504$ |
$1.485600$ |
$62275269892/39$ |
$1.05219$ |
$5.24114$ |
$[0, -1, 0, -140664, 20352864]$ |
\(y^2=x^3-x^2-140664x+20352864\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 104.24.0.?, 156.24.0.?, $\ldots$ |
$[(1957/2, 66165/2)]$ |
| 8112.f2 |
8112b2 |
8112.f |
8112b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$3.637012422$ |
$1$ |
|
$5$ |
$10752$ |
$1.139027$ |
$61918288/1521$ |
$0.98715$ |
$4.31905$ |
$[0, -1, 0, -8844, 316224]$ |
\(y^2=x^3-x^2-8844x+316224\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 52.24.0-52.b.1.2, 156.48.0.? |
$[(-60, 792)]$ |
| 8112.f3 |
8112b1 |
8112.f |
8112b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1.818506211$ |
$1$ |
|
$3$ |
$5376$ |
$0.792453$ |
$2725888/1053$ |
$0.92420$ |
$3.66406$ |
$[0, -1, 0, -1239, -9270]$ |
\(y^2=x^3-x^2-1239x-9270\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[(438, 9126)]$ |
| 8112.f4 |
8112b4 |
8112.f |
8112b |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1.818506211$ |
$1$ |
|
$3$ |
$21504$ |
$1.485600$ |
$48668/85683$ |
$1.07537$ |
$4.56988$ |
$[0, -1, 0, 1296, 989520]$ |
\(y^2=x^3-x^2+1296x+989520\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[(22, 1014)]$ |
| 8112.g1 |
8112y4 |
8112.g |
8112y |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$5.651892506$ |
$1$ |
|
$3$ |
$57600$ |
$1.863153$ |
$18013780041269221/9216$ |
$1.09234$ |
$5.93733$ |
$[0, -1, 0, -1135944, -465618960]$ |
\(y^2=x^3-x^2-1135944x-465618960\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[(10548, 1077504)]$ |
| 8112.g2 |
8112y3 |
8112.g |
8112y |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{32} \cdot 3 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$11.30378501$ |
$1$ |
|
$1$ |
$28800$ |
$1.516579$ |
$-4395631034341/3145728$ |
$1.06506$ |
$5.01333$ |
$[0, -1, 0, -70984, -7260176]$ |
\(y^2=x^3-x^2-70984x-7260176\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.2, $\ldots$ |
$[(211305/23, 64334504/23)]$ |
| 8112.g3 |
8112y2 |
8112.g |
8112y |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$1.130378501$ |
$1$ |
|
$7$ |
$11520$ |
$1.058434$ |
$476379541/236196$ |
$1.06546$ |
$3.99888$ |
$[0, -1, 0, -3384, 29808]$ |
\(y^2=x^3-x^2-3384x+29808\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[(-4, 208)]$ |
| 8112.g4 |
8112y1 |
8112.g |
8112y |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$2.260757002$ |
$1$ |
|
$5$ |
$5760$ |
$0.711861$ |
$5735339/3888$ |
$1.16005$ |
$3.50788$ |
$[0, -1, 0, 776, 3184]$ |
\(y^2=x^3-x^2+776x+3184\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.1, $\ldots$ |
$[(9, 104)]$ |
| 8112.h1 |
8112a2 |
8112.h |
8112a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.905525252$ |
$1$ |
|
$5$ |
$10752$ |
$1.068613$ |
$137842000/117$ |
$0.90407$ |
$4.40796$ |
$[0, -1, 0, -11548, 481168]$ |
\(y^2=x^3-x^2-11548x+481168\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(64, 12)]$ |
| 8112.h2 |
8112a1 |
8112.h |
8112a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.811050505$ |
$1$ |
|
$3$ |
$5376$ |
$0.722040$ |
$-256000/507$ |
$0.90091$ |
$3.56644$ |
$[0, -1, 0, -563, 11010]$ |
\(y^2=x^3-x^2-563x+11010\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(-26, 86)]$ |
| 8112.i1 |
8112t4 |
8112.i |
8112t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$48384$ |
$1.861933$ |
$181037698000/14480427$ |
$0.98201$ |
$5.20568$ |
$[0, -1, 0, -126468, 16112316]$ |
\(y^2=x^3-x^2-126468x+16112316\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.h.1.8, 52.6.0.c.1, $\ldots$ |
$[]$ |
| 8112.i2 |
8112t3 |
8112.i |
8112t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$24192$ |
$1.515360$ |
$2725888000000/19773$ |
$1.18802$ |
$5.19893$ |
$[0, -1, 0, -123933, 16834284]$ |
\(y^2=x^3-x^2-123933x+16834284\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.7, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 8112.i3 |
8112t2 |
8112.i |
8112t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16128$ |
$1.312628$ |
$1409938000/4563$ |
$0.93342$ |
$4.66628$ |
$[0, -1, 0, -25068, -1515060]$ |
\(y^2=x^3-x^2-25068x-1515060\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.h.1.6, 52.6.0.c.1, $\ldots$ |
$[]$ |
| 8112.i4 |
8112t1 |
8112.i |
8112t |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8064$ |
$0.966053$ |
$16384000/9477$ |
$1.48887$ |
$3.86332$ |
$[0, -1, 0, -2253, -144]$ |
\(y^2=x^3-x^2-2253x-144\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.5, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 8112.j1 |
8112w4 |
8112.j |
8112w |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$24.39896433$ |
$1$ |
|
$1$ |
$748800$ |
$3.145626$ |
$18013780041269221/9216$ |
$1.09234$ |
$7.64709$ |
$[0, -1, 0, -191974592, -1023732753408]$ |
\(y^2=x^3-x^2-191974592x-1023732753408\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.1, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[(-88011622023776/104893, 21006182189288960/104893)]$ |
| 8112.j2 |
8112w3 |
8112.j |
8112w |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{32} \cdot 3 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$48.79792866$ |
$1$ |
|
$1$ |
$374400$ |
$2.799053$ |
$-4395631034341/3145728$ |
$1.06506$ |
$6.72309$ |
$[0, -1, 0, -11996352, -15998592000]$ |
\(y^2=x^3-x^2-11996352x-15998592000\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.2, $\ldots$ |
$[(67172690302571526169925/1713592966, 17196746704553000873966452456226155/1713592966)]$ |
| 8112.j3 |
8112w2 |
8112.j |
8112w |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$4.879792866$ |
$1$ |
|
$3$ |
$149760$ |
$2.340908$ |
$476379541/236196$ |
$1.06546$ |
$5.70864$ |
$[0, -1, 0, -571952, 63200448]$ |
\(y^2=x^3-x^2-571952x+63200448\) |
2.3.0.a.1, 5.6.0.a.1, 10.36.0.b.2, 12.6.0.f.1, 26.6.0.b.1, $\ldots$ |
$[(88, 3680)]$ |
| 8112.j4 |
8112w1 |
8112.j |
8112w |
$4$ |
$10$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.6.0.1 |
2B, 5B |
$780$ |
$288$ |
$5$ |
$9.759585733$ |
$1$ |
|
$1$ |
$74880$ |
$1.994335$ |
$5735339/3888$ |
$1.16005$ |
$5.21764$ |
$[0, -1, 0, 131088, 7519680]$ |
\(y^2=x^3-x^2+131088x+7519680\) |
2.3.0.a.1, 5.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, 20.36.0.b.1, $\ldots$ |
$[(134024/5, 49173632/5)]$ |
| 8112.k1 |
8112f2 |
8112.k |
8112f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$29952$ |
$1.503246$ |
$907924/9$ |
$0.92429$ |
$4.85884$ |
$[0, -1, 0, -44672, 3617808]$ |
\(y^2=x^3-x^2-44672x+3617808\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 8112.k2 |
8112f1 |
8112.k |
8112f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$14976$ |
$1.156673$ |
$-16/3$ |
$0.96944$ |
$4.13129$ |
$[0, -1, 0, -732, 137760]$ |
\(y^2=x^3-x^2-732x+137760\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 8112.l1 |
8112x2 |
8112.l |
8112x |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.353750088$ |
$1$ |
|
$1$ |
$2304$ |
$0.092613$ |
$1882384/3$ |
$1.07544$ |
$3.07608$ |
$[0, -1, 0, -212, 1260]$ |
\(y^2=x^3-x^2-212x+1260\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(45/2, 105/2)]$ |
| 8112.l2 |
8112x1 |
8112.l |
8112x |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.676875044$ |
$1$ |
|
$3$ |
$1152$ |
$-0.253961$ |
$16384/9$ |
$1.27279$ |
$2.24100$ |
$[0, -1, 0, -17, 12]$ |
\(y^2=x^3-x^2-17x+12\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(8, 18)]$ |
| 8112.m1 |
8112u1 |
8112.m |
8112u |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$119808$ |
$2.108349$ |
$-156116857/186624$ |
$1.01025$ |
$5.42420$ |
$[0, -1, 0, -167704, -46227728]$ |
\(y^2=x^3-x^2-167704x-46227728\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.1, 12.16.0-12.a.1.4, 24.32.0-24.b.2.3 |
$[]$ |
| 8112.m2 |
8112u2 |
8112.m |
8112u |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{36} \cdot 3^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$24$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$2.657654$ |
$93603087383/150994944$ |
$1.05810$ |
$6.07487$ |
$[0, -1, 0, 1414136, 864912112]$ |
\(y^2=x^3-x^2+1414136x+864912112\) |
3.4.0.a.1, 4.2.0.a.1, 6.8.0-3.a.1.2, 12.16.0-12.a.1.2, 24.32.0-24.b.1.3 |
$[]$ |
| 8112.n1 |
8112c1 |
8112.n |
8112c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$3.339875908$ |
$1$ |
|
$2$ |
$19968$ |
$1.340090$ |
$69212/81$ |
$0.89849$ |
$4.29037$ |
$[0, -1, 0, 8056, -284064]$ |
\(y^2=x^3-x^2+8056x-284064\) |
4.16.0-4.b.1.1 |
$[(110, 1386)]$ |
| 8112.o1 |
8112e2 |
8112.o |
8112e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.194173321$ |
$1$ |
|
$3$ |
$32256$ |
$1.244007$ |
$94875856/9477$ |
$0.90366$ |
$4.36646$ |
$[0, -1, 0, -10196, -357072]$ |
\(y^2=x^3-x^2-10196x-357072\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(632, 15660)]$ |
| 8112.o2 |
8112e1 |
8112.o |
8112e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$8.388346643$ |
$1$ |
|
$1$ |
$16128$ |
$0.897434$ |
$702464/4563$ |
$0.96739$ |
$3.77170$ |
$[0, -1, 0, 789, -27522]$ |
\(y^2=x^3-x^2+789x-27522\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(3914/5, 247138/5)]$ |
| 8112.p1 |
8112h2 |
8112.p |
8112h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.122 |
2B |
$624$ |
$192$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$119808$ |
$1.994976$ |
$34909201168/81$ |
$1.02428$ |
$5.87770$ |
$[0, -1, 0, -949836, -355987152]$ |
\(y^2=x^3-x^2-949836x-355987152\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 26.6.0.b.1, 48.48.1.hj.2, $\ldots$ |
$[]$ |
| 8112.p2 |
8112h1 |
8112.p |
8112h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.119 |
2B |
$624$ |
$192$ |
$5$ |
$1$ |
$9$ |
$3$ |
$1$ |
$59904$ |
$1.648403$ |
$141150208/6561$ |
$1.03967$ |
$4.95745$ |
$[0, -1, 0, -60051, -5411862]$ |
\(y^2=x^3-x^2-60051x-5411862\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 26.6.0.b.1, 48.48.1.hj.1, $\ldots$ |
$[]$ |
| 8112.q1 |
8112q1 |
8112.q |
8112q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$1.818861$ |
$1909913257984/129730653$ |
$1.03790$ |
$5.15941$ |
$[0, 1, 0, -110075, -13242696]$ |
\(y^2=x^3+x^2-110075x-13242696\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 8112.q2 |
8112q2 |
8112.q |
8112q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$2.165432$ |
$77366117936/1172914587$ |
$1.04122$ |
$5.46971$ |
$[0, 1, 0, 95260, -56773716]$ |
\(y^2=x^3+x^2+95260x-56773716\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 8112.r1 |
8112p1 |
8112.r |
8112p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$52$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$199680$ |
$2.264069$ |
$-616966948/6561$ |
$1.02748$ |
$5.87034$ |
$[0, 1, 0, -923472, -345005244]$ |
\(y^2=x^3+x^2-923472x-345005244\) |
4.8.0.b.1, 52.16.0-4.b.1.1 |
$[]$ |
| 8112.s1 |
8112bh4 |
8112.s |
8112bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1.611333123$ |
$1$ |
|
$9$ |
$43008$ |
$1.657255$ |
$37159393753/1053$ |
$1.11616$ |
$5.33779$ |
$[0, 1, 0, -187984, 31307732]$ |
\(y^2=x^3+x^2-187984x+31307732\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ |
$[(82, 4056)]$ |
| 8112.s2 |
8112bh3 |
8112.s |
8112bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$6.445332494$ |
$1$ |
|
$1$ |
$43008$ |
$1.657255$ |
$822656953/85683$ |
$0.96086$ |
$4.91446$ |
$[0, 1, 0, -52784, -4244460]$ |
\(y^2=x^3+x^2-52784x-4244460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(-435/2, 3765/2)]$ |
| 8112.s3 |
8112bh2 |
8112.s |
8112bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$3.222666247$ |
$1$ |
|
$5$ |
$21504$ |
$1.310682$ |
$10218313/1521$ |
$0.91403$ |
$4.42692$ |
$[0, 1, 0, -12224, 444276]$ |
\(y^2=x^3+x^2-12224x+444276\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 52.24.0-52.b.1.1, 156.48.0.? |
$[(18, 480)]$ |
| 8112.s4 |
8112bh1 |
8112.s |
8112bh |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1.611333123$ |
$1$ |
|
$3$ |
$10752$ |
$0.964108$ |
$12167/39$ |
$0.85844$ |
$3.84693$ |
$[0, 1, 0, 1296, 38676]$ |
\(y^2=x^3+x^2+1296x+38676\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 78.6.0.?, 104.24.0.?, $\ldots$ |
$[(95, 1014)]$ |
| 8112.t1 |
8112n1 |
8112.t |
8112n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12480$ |
$0.983712$ |
$-13312/3$ |
$0.78811$ |
$3.98730$ |
$[0, 1, 0, -2929, 70955]$ |
\(y^2=x^3+x^2-2929x+70955\) |
6.2.0.a.1 |
$[]$ |
| 8112.u1 |
8112bf1 |
8112.u |
8112bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.201168765$ |
$1$ |
|
$6$ |
$2016$ |
$0.218169$ |
$-851968/2187$ |
$1.12440$ |
$2.89113$ |
$[0, 1, 0, -69, 495]$ |
\(y^2=x^3+x^2-69x+495\) |
6.2.0.a.1 |
$[(3, 18)]$ |
| 8112.v1 |
8112bg3 |
8112.v |
8112bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{5} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$8.856160182$ |
$1$ |
|
$1$ |
$645120$ |
$2.943699$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.23694$ |
$[0, 1, 0, -56079664, -161661424300]$ |
\(y^2=x^3+x^2-56079664x-161661424300\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[(-432451/10, 104307/10)]$ |
| 8112.v2 |
8112bg4 |
8112.v |
8112bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{20} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$2.214040045$ |
$1$ |
|
$7$ |
$645120$ |
$2.943699$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.50967$ |
$[0, 1, 0, -6326064, 2074990932]$ |
\(y^2=x^3+x^2-6326064x+2074990932\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 26.6.0.b.1, 52.24.0-52.g.1.2, $\ldots$ |
$[(306, 12960)]$ |
| 8112.v3 |
8112bg2 |
8112.v |
8112bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$4.428080091$ |
$1$ |
|
$5$ |
$322560$ |
$2.597126$ |
$242702053576633/2554695936$ |
$1.10395$ |
$6.31371$ |
$[0, 1, 0, -3513904, -2513329324]$ |
\(y^2=x^3+x^2-3513904x-2513329324\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 52.24.0-52.b.1.1, 156.48.0.? |
$[(53759, 12456990)]$ |
