| 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 |
| 51714.a1 |
51714j1 |
51714.a |
51714j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$4.025185630$ |
$1$ |
|
$2$ |
$449280$ |
$1.646879$ |
$7433231/4352$ |
$0.91543$ |
$3.95566$ |
$[1, -1, 0, 34191, 254749]$ |
\(y^2+xy=x^3-x^2+34191x+254749\) |
68.2.0.a.1 |
$[(66, 1639)]$ |
| 51714.b1 |
51714k1 |
51714.b |
51714k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1.231065123$ |
$1$ |
|
$7$ |
$122880$ |
$1.068253$ |
$1771561/612$ |
$1.28490$ |
$3.35088$ |
$[1, -1, 0, -3834, -57056]$ |
\(y^2+xy=x^3-x^2-3834x-57056\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(-42, 190)]$ |
| 51714.b2 |
51714k2 |
51714.b |
51714k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2 \cdot 3^{10} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$2.462130247$ |
$1$ |
|
$4$ |
$245760$ |
$1.414825$ |
$46268279/46818$ |
$0.94894$ |
$3.65149$ |
$[1, -1, 0, 11376, -406886]$ |
\(y^2+xy=x^3-x^2+11376x-406886\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(75, 892)]$ |
| 51714.c1 |
51714h2 |
51714.c |
51714h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{6} \cdot 3^{7} \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1326$ |
$16$ |
$0$ |
$0.145926547$ |
$1$ |
|
$8$ |
$69120$ |
$0.840985$ |
$-3754462153/943296$ |
$0.90034$ |
$3.14446$ |
$[1, -1, 0, -1611, 30213]$ |
\(y^2+xy=x^3-x^2-1611x+30213\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 102.8.0.?, 1326.16.0.? |
$[(78, 573)]$ |
| 51714.c2 |
51714h1 |
51714.c |
51714h |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1326$ |
$16$ |
$0$ |
$0.437779642$ |
$1$ |
|
$6$ |
$23040$ |
$0.291679$ |
$2669927/1836$ |
$0.83954$ |
$2.44338$ |
$[1, -1, 0, 144, -324]$ |
\(y^2+xy=x^3-x^2+144x-324\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 102.8.0.?, 1326.16.0.? |
$[(6, 24)]$ |
| 51714.d1 |
51714e1 |
51714.d |
51714e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{13} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1397760$ |
$2.359482$ |
$-2628062448817/594864$ |
$0.94800$ |
$5.13282$ |
$[1, -1, 0, -2417661, 1447796533]$ |
\(y^2+xy=x^3-x^2-2417661x+1447796533\) |
102.2.0.? |
$[]$ |
| 51714.e1 |
51714d4 |
51714.e |
51714d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{7} \cdot 13^{10} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$6.307832690$ |
$1$ |
|
$14$ |
$688128$ |
$2.212231$ |
$143820170742457/5826444$ |
$1.02007$ |
$5.02889$ |
$[1, -1, 0, -1660203, -822916535]$ |
\(y^2+xy=x^3-x^2-1660203x-822916535\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(-744, 541), (-745, 530)]$ |
| 51714.e2 |
51714d3 |
51714.e |
51714d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{10} \cdot 13^{7} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$1.576958172$ |
$1$ |
|
$18$ |
$688128$ |
$2.212231$ |
$4029546653497/351790452$ |
$0.92744$ |
$4.69951$ |
$[1, -1, 0, -504243, 127124401]$ |
\(y^2+xy=x^3-x^2-504243x+127124401\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$ |
$[(764, 13307), (284, 2459)]$ |
| 51714.e3 |
51714d2 |
51714.e |
51714d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{8} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$6.307832690$ |
$1$ |
|
$20$ |
$344064$ |
$1.865656$ |
$40459583737/7033104$ |
$0.89253$ |
$4.27558$ |
$[1, -1, 0, -108783, -11523875]$ |
\(y^2+xy=x^3-x^2-108783x-11523875\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0-2.a.1.2, 156.24.0.?, $\ldots$ |
$[(426, 4181), (-214, 1493)]$ |
| 51714.e4 |
51714d1 |
51714.e |
51714d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{7} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5304$ |
$48$ |
$0$ |
$6.307832690$ |
$1$ |
|
$11$ |
$172032$ |
$1.519083$ |
$67419143/169728$ |
$0.85450$ |
$3.79757$ |
$[1, -1, 0, 12897, -1035059]$ |
\(y^2+xy=x^3-x^2+12897x-1035059\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(75, 554), (78, 625)]$ |
| 51714.f1 |
51714b1 |
51714.f |
51714b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{9} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.360977$ |
$-1954084470169/481296384$ |
$1.04083$ |
$3.72020$ |
$[1, -1, 0, -12960, -674816]$ |
\(y^2+xy=x^3-x^2-12960x-674816\) |
102.2.0.? |
$[]$ |
| 51714.g1 |
51714g1 |
51714.g |
51714g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 3^{16} \cdot 13^{10} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$7.605809439$ |
$1$ |
|
$1$ |
$4300800$ |
$3.184166$ |
$771864882375147625/29358565696512$ |
$0.99298$ |
$5.82015$ |
$[1, -1, 0, -29067102, 58309856788]$ |
\(y^2+xy=x^3-x^2-29067102x+58309856788\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(122508/7, 11750038/7)]$ |
| 51714.g2 |
51714g2 |
51714.g |
51714g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{5} \cdot 3^{26} \cdot 13^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$15.21161887$ |
$1$ |
|
$0$ |
$8601600$ |
$3.530739$ |
$55138849409108375/5449537181735712$ |
$1.04317$ |
$6.05009$ |
$[1, -1, 0, 12060738, 210063360820]$ |
\(y^2+xy=x^3-x^2+12060738x+210063360820\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(49435101/28, 347556680197/28)]$ |
| 51714.h1 |
51714f3 |
51714.h |
51714f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{18} \cdot 3^{8} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1.831219363$ |
$1$ |
|
$3$ |
$1327104$ |
$2.473206$ |
$46753267515625/11591221248$ |
$1.08666$ |
$4.92536$ |
$[1, -1, 0, -1141542, 355203252]$ |
\(y^2+xy=x^3-x^2-1141542x+355203252\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(1401, 38085)]$ |
| 51714.h2 |
51714f1 |
51714.h |
51714f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$5.493658090$ |
$1$ |
|
$3$ |
$442368$ |
$1.923901$ |
$1845026709625/793152$ |
$1.00293$ |
$4.62754$ |
$[1, -1, 0, -388647, -93125187]$ |
\(y^2+xy=x^3-x^2-388647x-93125187\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(9123, 864690)]$ |
| 51714.h3 |
51714f2 |
51714.h |
51714f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{18} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$10.98731618$ |
$1$ |
|
$0$ |
$884736$ |
$2.270473$ |
$-1107111813625/1228691592$ |
$1.01884$ |
$4.67914$ |
$[1, -1, 0, -327807, -123313995]$ |
\(y^2+xy=x^3-x^2-327807x-123313995\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(738859/9, 630445330/9)]$ |
| 51714.h4 |
51714f4 |
51714.h |
51714f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{9} \cdot 3^{10} \cdot 13^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$3.662438727$ |
$1$ |
|
$2$ |
$2654208$ |
$2.819782$ |
$655215969476375/1001033261568$ |
$1.05358$ |
$5.21418$ |
$[1, -1, 0, 2752218, 2249906868]$ |
\(y^2+xy=x^3-x^2+2752218x+2249906868\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(2403, 149580)]$ |
| 51714.i1 |
51714a2 |
51714.i |
51714a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{10} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$344064$ |
$1.952320$ |
$2441288319625/1217268$ |
$0.92133$ |
$4.65334$ |
$[1, -1, 0, -426672, -107119908]$ |
\(y^2+xy=x^3-x^2-426672x-107119908\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
| 51714.i2 |
51714a1 |
51714.i |
51714a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.605745$ |
$955671625/413712$ |
$0.87130$ |
$3.93047$ |
$[1, -1, 0, -31212, -1057536]$ |
\(y^2+xy=x^3-x^2-31212x-1057536\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 51714.j1 |
51714c1 |
51714.j |
51714c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.722994$ |
$17923019113/735488$ |
$0.88004$ |
$4.20056$ |
$[1, -1, 0, -82926, 8880340]$ |
\(y^2+xy=x^3-x^2-82926x+8880340\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 312.12.0.?, $\ldots$ |
$[]$ |
| 51714.j2 |
51714c2 |
51714.j |
51714c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 13^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$5304$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$2.069569$ |
$1829276567/132066064$ |
$0.95549$ |
$4.43423$ |
$[1, -1, 0, 38754, 32656612]$ |
\(y^2+xy=x^3-x^2+38754x+32656612\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 312.12.0.?, 408.24.0.?, $\ldots$ |
$[]$ |
| 51714.k1 |
51714l2 |
51714.k |
51714l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{20} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$7.176308032$ |
$1$ |
|
$0$ |
$3612672$ |
$2.950603$ |
$45204035637810785581/6545053349462016$ |
$1.04093$ |
$5.48619$ |
$[1, -1, 0, -8683011, -8525445291]$ |
\(y^2+xy=x^3-x^2-8683011x-8525445291\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(892150/3, 840951119/3)]$ |
| 51714.k2 |
51714l1 |
51714.k |
51714l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{28} \cdot 3^{13} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$14.35261606$ |
$1$ |
|
$1$ |
$1806336$ |
$2.604031$ |
$50611530622079699/169662750916608$ |
$1.03810$ |
$5.00453$ |
$[1, -1, 0, 901629, -721631403]$ |
\(y^2+xy=x^3-x^2+901629x-721631403\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(8443491/113, 17965720911/113)]$ |
| 51714.l1 |
51714m2 |
51714.l |
51714m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{12} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.377050755$ |
$1$ |
|
$2$ |
$442368$ |
$1.673731$ |
$275602131611533/53934336$ |
$0.98912$ |
$4.37984$ |
$[1, -1, 0, -158625, -24273027]$ |
\(y^2+xy=x^3-x^2-158625x-24273027\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(6354, 502263)]$ |
| 51714.l2 |
51714m1 |
51714.l |
51714m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{9} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$6.754101510$ |
$1$ |
|
$1$ |
$221184$ |
$1.327158$ |
$-48109395853/30081024$ |
$0.94615$ |
$3.65006$ |
$[1, -1, 0, -8865, -461187]$ |
\(y^2+xy=x^3-x^2-8865x-461187\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(2149/4, 51407/4)]$ |
| 51714.m1 |
51714i1 |
51714.m |
51714i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.277883647$ |
$1$ |
|
$2$ |
$233856$ |
$1.328228$ |
$-298652123601/78608$ |
$1.12598$ |
$3.98715$ |
$[1, -1, 0, -38310, 2896388]$ |
\(y^2+xy=x^3-x^2-38310x+2896388\) |
68.2.0.a.1 |
$[(104, 118)]$ |
| 51714.n1 |
51714z1 |
51714.n |
51714z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{4} \cdot 3^{6} \cdot 13^{10} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3040128$ |
$2.610703$ |
$-298652123601/78608$ |
$1.12598$ |
$5.40510$ |
$[1, -1, 1, -6474422, 6343941205]$ |
\(y^2+xy+y=x^3-x^2-6474422x+6343941205\) |
68.2.0.a.1 |
$[]$ |
| 51714.o1 |
51714bb2 |
51714.o |
51714bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{12} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5750784$ |
$2.956207$ |
$275602131611533/53934336$ |
$0.98912$ |
$5.79779$ |
$[1, -1, 1, -26807657, -53408263255]$ |
\(y^2+xy+y=x^3-x^2-26807657x-53408263255\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[]$ |
| 51714.o2 |
51714bb1 |
51714.o |
51714bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 3^{9} \cdot 13^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2875392$ |
$2.609634$ |
$-48109395853/30081024$ |
$0.94615$ |
$5.06801$ |
$[1, -1, 1, -1498217, -1017722455]$ |
\(y^2+xy+y=x^3-x^2-1498217x-1017722455\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[]$ |
| 51714.p1 |
51714r2 |
51714.p |
51714r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{6} \cdot 13^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$3.433478205$ |
$1$ |
|
$4$ |
$2064384$ |
$2.475643$ |
$196741326427281/5020614352$ |
$1.05763$ |
$5.05776$ |
$[1, -1, 1, -1842977, -941070815]$ |
\(y^2+xy+y=x^3-x^2-1842977x-941070815\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(-835, 4304)]$ |
| 51714.p2 |
51714r1 |
51714.p |
51714r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.716739102$ |
$1$ |
|
$7$ |
$1032192$ |
$2.129070$ |
$559679941521/212556032$ |
$1.20815$ |
$4.51763$ |
$[1, -1, 1, -261137, 30178945]$ |
\(y^2+xy+y=x^3-x^2-261137x+30178945\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(101, 2146)]$ |
| 51714.q1 |
51714u2 |
51714.q |
51714u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$1.683399$ |
$297141543217/7514$ |
$0.90457$ |
$4.45929$ |
$[1, -1, 1, -211451, 37477041]$ |
\(y^2+xy+y=x^3-x^2-211451x+37477041\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 51714.q2 |
51714u1 |
51714.q |
51714u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$1.336824$ |
$81182737/11492$ |
$0.81939$ |
$3.70329$ |
$[1, -1, 1, -13721, 541077]$ |
\(y^2+xy+y=x^3-x^2-13721x+541077\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 51714.r1 |
51714p6 |
51714.r |
51714p |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{8} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.213 |
2B |
$10608$ |
$192$ |
$1$ |
$11.03141609$ |
$1$ |
|
$0$ |
$2359296$ |
$2.678860$ |
$2361739090258884097/5202$ |
$1.06083$ |
$5.92319$ |
$[1, -1, 1, -42198656, 105521136257]$ |
\(y^2+xy+y=x^3-x^2-42198656x+105521136257\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.2, 136.48.0.?, $\ldots$ |
$[(500391/10, 137631631/10)]$ |
| 51714.r2 |
51714p4 |
51714.r |
51714p |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{10} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.137 |
2Cs |
$5304$ |
$192$ |
$1$ |
$5.515708049$ |
$1$ |
|
$2$ |
$1179648$ |
$2.332287$ |
$576615941610337/27060804$ |
$1.03156$ |
$5.15683$ |
$[1, -1, 1, -2637446, 1649223281]$ |
\(y^2+xy+y=x^3-x^2-2637446x+1649223281\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.1, 136.96.1.?, 156.24.0.?, $\ldots$ |
$[(14175/2, 1520411/2)]$ |
| 51714.r3 |
51714p5 |
51714.r |
51714p |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2 \cdot 3^{8} \cdot 13^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.224 |
2B |
$10608$ |
$192$ |
$1$ |
$11.03141609$ |
$1$ |
|
$0$ |
$2359296$ |
$2.678860$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$5.17579$ |
$[1, -1, 1, -2500556, 1827946865]$ |
\(y^2+xy+y=x^3-x^2-2500556x+1827946865\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 156.12.0.?, 272.96.1.?, $\ldots$ |
$[(-157811/20, 421323297/20)]$ |
| 51714.r4 |
51714p2 |
51714.r |
51714p |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 3^{14} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.89 |
2Cs |
$5304$ |
$192$ |
$1$ |
$2.757854024$ |
$1$ |
|
$6$ |
$589824$ |
$1.985712$ |
$163936758817/30338064$ |
$1.07571$ |
$4.40450$ |
$[1, -1, 1, -173426, 22970081]$ |
\(y^2+xy+y=x^3-x^2-173426x+22970081\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.2, 68.24.0.c.1, 136.96.1.?, $\ldots$ |
$[(361, 2523)]$ |
| 51714.r5 |
51714p1 |
51714.r |
51714p |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.101 |
2B |
$10608$ |
$192$ |
$1$ |
$1.378927012$ |
$1$ |
|
$7$ |
$294912$ |
$1.639139$ |
$4354703137/352512$ |
$1.05192$ |
$4.07020$ |
$[1, -1, 1, -51746, -4188895]$ |
\(y^2+xy+y=x^3-x^2-51746x-4188895\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0.bb.1, 34.6.0.a.1, $\ldots$ |
$[(-107, 391)]$ |
| 51714.r6 |
51714p3 |
51714.r |
51714p |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{2} \cdot 3^{22} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.132 |
2B |
$10608$ |
$192$ |
$1$ |
$5.515708049$ |
$1$ |
|
$0$ |
$1179648$ |
$2.332287$ |
$1276229915423/2927177028$ |
$1.03010$ |
$4.69367$ |
$[1, -1, 1, 343714, 133431185]$ |
\(y^2+xy+y=x^3-x^2+343714x+133431185\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.y.2, 68.12.0.h.1, $\ldots$ |
$[(-545/2, 73887/2)]$ |
| 51714.s1 |
51714ba2 |
51714.s |
51714ba |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{20} \cdot 13^{9} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46964736$ |
$4.233078$ |
$45204035637810785581/6545053349462016$ |
$1.04093$ |
$6.90414$ |
$[1, -1, 1, -1467428891, -18734805590965]$ |
\(y^2+xy+y=x^3-x^2-1467428891x-18734805590965\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 51714.s2 |
51714ba1 |
51714.s |
51714ba |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{28} \cdot 3^{13} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23482368$ |
$3.886505$ |
$50611530622079699/169662750916608$ |
$1.03810$ |
$6.42248$ |
$[1, -1, 1, 152375269, -1584967066549]$ |
\(y^2+xy+y=x^3-x^2+152375269x-1584967066549\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 51714.t1 |
51714v1 |
51714.t |
51714v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{14} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2408448$ |
$2.729069$ |
$612241204436497/308834353152$ |
$0.98585$ |
$5.16235$ |
$[1, -1, 1, -2690681, 609260825]$ |
\(y^2+xy+y=x^3-x^2-2690681x+609260825\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 51714.t2 |
51714v2 |
51714.t |
51714v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{7} \cdot 3^{22} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4816896$ |
$3.075642$ |
$31091549545392623/20700995942016$ |
$1.00598$ |
$5.52422$ |
$[1, -1, 1, 9964039, 4694204441]$ |
\(y^2+xy+y=x^3-x^2+9964039x+4694204441\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 51714.u1 |
51714n2 |
51714.u |
51714n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 3^{14} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$4.916609469$ |
$1$ |
|
$2$ |
$2752512$ |
$2.870750$ |
$621403856941038625/6310317312$ |
$0.99125$ |
$5.80018$ |
$[1, -1, 1, -27040370, -54113919375]$ |
\(y^2+xy+y=x^3-x^2-27040370x-54113919375\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(24875, 3816999)]$ |
| 51714.u2 |
51714n1 |
51714.u |
51714n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{16} \cdot 3^{10} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.458304734$ |
$1$ |
|
$3$ |
$1376256$ |
$2.524178$ |
$162995025390625/15251079168$ |
$1.05044$ |
$5.04042$ |
$[1, -1, 1, -1730930, -802114959]$ |
\(y^2+xy+y=x^3-x^2-1730930x-802114959\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-601, 4863)]$ |
| 51714.v1 |
51714s4 |
51714.v |
51714s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2 \cdot 3^{6} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$663552$ |
$2.011269$ |
$159661140625/48275138$ |
$1.06848$ |
$4.40206$ |
$[1, -1, 1, -171905, 19000271]$ |
\(y^2+xy+y=x^3-x^2-171905x+19000271\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
| 51714.v2 |
51714s3 |
51714.v |
51714s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{6} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.664694$ |
$120920208625/19652$ |
$0.98564$ |
$4.37645$ |
$[1, -1, 1, -156695, 23910059]$ |
\(y^2+xy+y=x^3-x^2-156695x+23910059\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
| 51714.v3 |
51714s2 |
51714.v |
51714s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{3} \cdot 3^{6} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$221184$ |
$1.461962$ |
$8805624625/2312$ |
$0.96590$ |
$4.13508$ |
$[1, -1, 1, -65435, -6424765]$ |
\(y^2+xy+y=x^3-x^2-65435x-6424765\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
| 51714.v4 |
51714s1 |
51714.v |
51714s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.115389$ |
$3048625/1088$ |
$0.90010$ |
$3.40090$ |
$[1, -1, 1, -4595, -73069]$ |
\(y^2+xy+y=x^3-x^2-4595x-73069\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
| 51714.w1 |
51714o1 |
51714.w |
51714o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 3^{9} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$4.593075848$ |
$1$ |
|
$2$ |
$1797120$ |
$2.643452$ |
$-1954084470169/481296384$ |
$1.04083$ |
$5.13815$ |
$[1, -1, 1, -2190272, -1489141533]$ |
\(y^2+xy+y=x^3-x^2-2190272x-1489141533\) |
102.2.0.? |
$[(3101, 145185)]$ |
