| 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 |
| 48050.a1 |
48050a2 |
48050.a |
48050a |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
2.2.0.1, 7.8.0.1 |
2Cn, 7B |
$8680$ |
$576$ |
$16$ |
$52.86875727$ |
$1$ |
|
$0$ |
$25519200$ |
$3.574638$ |
$51181724570498001/4$ |
$1.10803$ |
$7.01324$ |
$[1, -1, 0, -1833868792, -30226921380884]$ |
\(y^2+xy=x^3-x^2-1833868792x-30226921380884\) |
2.2.0.a.1, 7.8.0.a.1, 14.48.0.b.1, 35.16.0-7.a.1.2, 40.4.0-2.a.1.1, $\ldots$ |
$[(89954307504535859252258/1259242169, 13820475833669860685262491950065006/1259242169)]$ |
| 48050.a2 |
48050a1 |
48050.a |
48050a |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{14} \cdot 5^{6} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
2.2.0.1, 7.8.0.1 |
2Cn, 7B |
$8680$ |
$576$ |
$16$ |
$7.552679610$ |
$1$ |
|
$2$ |
$3645600$ |
$2.601685$ |
$42396561/16384$ |
$1.03599$ |
$5.07339$ |
$[1, -1, 0, -1722292, 501873616]$ |
\(y^2+xy=x^3-x^2-1722292x+501873616\) |
2.2.0.a.1, 7.8.0.a.1, 14.48.0.b.2, 35.16.0-7.a.1.1, 40.4.0-2.a.1.1, $\ldots$ |
$[(21128, 3054588)]$ |
| 48050.b1 |
48050i2 |
48050.b |
48050i |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{21} \cdot 5^{8} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9374400$ |
$3.283836$ |
$7915045705/2097152$ |
$0.95599$ |
$5.85709$ |
$[1, 0, 1, -28782451, -43764761202]$ |
\(y^2+xy+y=x^3-28782451x-43764761202\) |
3.8.0-3.a.1.1, 8.2.0.b.1, 24.16.0-24.b.1.4 |
$[ ]$ |
| 48050.b2 |
48050i1 |
48050.b |
48050i |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{7} \cdot 5^{8} \cdot 31^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$3124800$ |
$2.734531$ |
$348454105/128$ |
$0.91295$ |
$5.56739$ |
$[1, 0, 1, -10163076, 12465751298]$ |
\(y^2+xy+y=x^3-10163076x+12465751298\) |
3.8.0-3.a.1.2, 8.2.0.b.1, 24.16.0-24.b.1.8 |
$[ ]$ |
| 48050.c1 |
48050n1 |
48050.c |
48050n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$5.406947122$ |
$1$ |
|
$2$ |
$803520$ |
$2.274090$ |
$24025/8$ |
$0.88092$ |
$4.71841$ |
$[1, 0, 1, -481001, -83707452]$ |
\(y^2+xy+y=x^3-481001x-83707452\) |
8.2.0.b.1 |
$[(-318, 6251)]$ |
| 48050.d1 |
48050e4 |
48050.d |
48050e |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{9} \cdot 31^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$13271040$ |
$3.450935$ |
$947226559343329/443751840500$ |
$0.99256$ |
$6.00604$ |
$[1, 0, 1, -49155651, -57897323302]$ |
\(y^2+xy+y=x^3-49155651x-57897323302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.7, $\ldots$ |
$[ ]$ |
| 48050.d2 |
48050e2 |
48050.d |
48050e |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 5^{7} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$2.901630$ |
$549131937598369/307520$ |
$0.96644$ |
$5.95547$ |
$[1, 0, 1, -40987151, -101002978302]$ |
\(y^2+xy+y=x^3-40987151x-101002978302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.1, $\ldots$ |
$[ ]$ |
| 48050.d3 |
48050e1 |
48050.d |
48050e |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{12} \cdot 5^{8} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.555054$ |
$-131794519969/3174400$ |
$0.90964$ |
$5.18607$ |
$[1, 0, 1, -2547151, -1597138302]$ |
\(y^2+xy+y=x^3-2547151x-1597138302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.1, 20.6.0.c.1, $\ldots$ |
$[ ]$ |
| 48050.d4 |
48050e3 |
48050.d |
48050e |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1860$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$3.104362$ |
$10347405816671/7447750000$ |
$0.97053$ |
$5.58704$ |
$[1, 0, 1, 10906849, -6844198302]$ |
\(y^2+xy+y=x^3+10906849x-6844198302\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.7, 20.6.0.c.1, $\ldots$ |
$[ ]$ |
| 48050.e1 |
48050c1 |
48050.e |
48050c |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{9} \cdot 5^{2} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.762875$ |
$-125768785/492032$ |
$0.90528$ |
$4.13004$ |
$[1, 1, 0, -29330, -5398220]$ |
\(y^2+xy=x^3+x^2-29330x-5398220\) |
8.2.0.a.1 |
$[ ]$ |
| 48050.f1 |
48050l2 |
48050.f |
48050l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{3} \cdot 5^{4} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$3720$ |
$384$ |
$9$ |
$3.071174103$ |
$1$ |
|
$0$ |
$183600$ |
$1.540199$ |
$-349938025/8$ |
$1.05078$ |
$4.33349$ |
$[1, 1, 0, -120625, 16075325]$ |
\(y^2+xy=x^3+x^2-120625x+16075325\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(3269/4, 189/4)]$ |
| 48050.f2 |
48050l3 |
48050.f |
48050l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$3720$ |
$384$ |
$9$ |
$5.118623505$ |
$1$ |
|
$2$ |
$306000$ |
$1.795612$ |
$-121945/32$ |
$0.94334$ |
$4.22678$ |
$[1, 1, 0, -72575, -9102875]$ |
\(y^2+xy=x^3+x^2-72575x-9102875\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(5019, 352580)]$ |
| 48050.f3 |
48050l1 |
48050.f |
48050l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2 \cdot 5^{4} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$3720$ |
$384$ |
$9$ |
$1.023724701$ |
$1$ |
|
$4$ |
$61200$ |
$0.990894$ |
$-25/2$ |
$1.09044$ |
$3.26501$ |
$[1, 1, 0, -500, 50650]$ |
\(y^2+xy=x^3+x^2-500x+50650\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(59, 451)]$ |
| 48050.f4 |
48050l4 |
48050.f |
48050l |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$3720$ |
$384$ |
$9$ |
$15.35587051$ |
$1$ |
|
$0$ |
$918000$ |
$2.344917$ |
$46969655/32768$ |
$1.06296$ |
$4.74438$ |
$[1, 1, 0, 528050, 67176500]$ |
\(y^2+xy=x^3+x^2+528050x+67176500\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(134336149/164, 1562987531895/164)]$ |
| 48050.g1 |
48050k1 |
48050.g |
48050k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{11} \cdot 5^{4} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$248$ |
$2$ |
$0$ |
$1.308081340$ |
$1$ |
|
$2$ |
$760320$ |
$1.909342$ |
$-508660425/63488$ |
$0.99261$ |
$4.38630$ |
$[1, -1, 0, -136642, 21469716]$ |
\(y^2+xy=x^3-x^2-136642x+21469716\) |
248.2.0.? |
$[(225, 1329)]$ |
| 48050.h1 |
48050b4 |
48050.h |
48050b |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2 \cdot 5^{6} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$983040$ |
$2.413635$ |
$3999236143617/62$ |
$1.07559$ |
$5.49886$ |
$[1, -1, 0, -7944767, -8617271609]$ |
\(y^2+xy=x^3-x^2-7944767x-8617271609\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.1, 40.24.0-8.p.1.6, $\ldots$ |
$[ ]$ |
| 48050.h2 |
48050b3 |
48050.h |
48050b |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2 \cdot 5^{6} \cdot 31^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$983040$ |
$2.413635$ |
$3196010817/1847042$ |
$1.17908$ |
$4.83727$ |
$[1, -1, 0, -737267, 9144891]$ |
\(y^2+xy=x^3-x^2-737267x+9144891\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.3, 248.24.0.?, $\ldots$ |
$[ ]$ |
| 48050.h3 |
48050b2 |
48050.h |
48050b |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$491520$ |
$2.067062$ |
$979146657/3844$ |
$1.02504$ |
$4.72753$ |
$[1, -1, 0, -497017, -134284359]$ |
\(y^2+xy=x^3-x^2-497017x-134284359\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.3, 124.12.0.?, $\ldots$ |
$[ ]$ |
| 48050.h4 |
48050b1 |
48050.h |
48050b |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{4} \cdot 5^{6} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.720488$ |
$-35937/496$ |
$0.93090$ |
$4.07819$ |
$[1, -1, 0, -16517, -4068859]$ |
\(y^2+xy=x^3-x^2-16517x-4068859\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 40.24.0-8.p.1.8, $\ldots$ |
$[ ]$ |
| 48050.i1 |
48050g1 |
48050.i |
48050g |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2 \cdot 5^{8} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$669600$ |
$2.113922$ |
$4185/2$ |
$0.73786$ |
$4.51639$ |
$[1, -1, 0, -232742, -17979334]$ |
\(y^2+xy=x^3-x^2-232742x-17979334\) |
8.2.0.b.1 |
$[ ]$ |
| 48050.j1 |
48050j1 |
48050.j |
48050j |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2 \cdot 5^{8} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$2.995953660$ |
$1$ |
|
$2$ |
$21600$ |
$0.396928$ |
$4185/2$ |
$0.73786$ |
$2.60508$ |
$[1, -1, 0, -242, 666]$ |
\(y^2+xy=x^3-x^2-242x+666\) |
8.2.0.b.1 |
$[(-7, 48)]$ |
| 48050.k1 |
48050m2 |
48050.k |
48050m |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{21} \cdot 5^{8} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$12.75636329$ |
$1$ |
|
$0$ |
$302400$ |
$1.566843$ |
$7915045705/2097152$ |
$0.95599$ |
$3.94578$ |
$[1, 1, 0, -29950, 1456500]$ |
\(y^2+xy=x^3+x^2-29950x+1456500\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 93.8.0.?, 744.16.0.? |
$[(-149001/38, 104922021/38)]$ |
| 48050.k2 |
48050m1 |
48050.k |
48050m |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{7} \cdot 5^{8} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$4.252121098$ |
$1$ |
|
$0$ |
$100800$ |
$1.017536$ |
$348454105/128$ |
$0.91295$ |
$3.65608$ |
$[1, 1, 0, -10575, -422875]$ |
\(y^2+xy=x^3+x^2-10575x-422875\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 93.8.0.?, 744.16.0.? |
$[(-241/2, 319/2)]$ |
| 48050.l1 |
48050d2 |
48050.l |
48050d |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{3} \cdot 5^{8} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$248$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2211840$ |
$2.806652$ |
$133974081659809/192200$ |
$0.95835$ |
$5.82460$ |
$[1, 1, 0, -25611150, 49876767500]$ |
\(y^2+xy=x^3+x^2-25611150x+49876767500\) |
2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.? |
$[ ]$ |
| 48050.l2 |
48050d1 |
48050.l |
48050d |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{6} \cdot 5^{10} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.460079$ |
$-31824875809/1240000$ |
$0.89741$ |
$5.05652$ |
$[1, 1, 0, -1586150, 793692500]$ |
\(y^2+xy=x^3+x^2-1586150x+793692500\) |
2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.? |
$[ ]$ |
| 48050.m1 |
48050h1 |
48050.m |
48050h |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 31^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$0.557096$ |
$24025/8$ |
$0.88092$ |
$2.80710$ |
$[1, 1, 0, -500, 2600]$ |
\(y^2+xy=x^3+x^2-500x+2600\) |
8.2.0.b.1 |
$[ ]$ |
| 48050.n1 |
48050f2 |
48050.n |
48050f |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
2.2.0.1, 7.8.0.1 |
2Cn, 7B |
$8680$ |
$576$ |
$16$ |
$1$ |
$4$ |
$2$ |
$0$ |
$823200$ |
$1.857647$ |
$51181724570498001/4$ |
$1.10803$ |
$5.10193$ |
$[1, -1, 0, -1908292, 1015125116]$ |
\(y^2+xy=x^3-x^2-1908292x+1015125116\) |
2.2.0.a.1, 7.8.0.a.1, 14.48.0.b.1, 56.96.2.a.1, 62.6.0.a.1, $\ldots$ |
$[ ]$ |
| 48050.n2 |
48050f1 |
48050.n |
48050f |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{14} \cdot 5^{6} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
2.2.0.1, 7.8.0.1 |
2Cn, 7B |
$8680$ |
$576$ |
$16$ |
$1$ |
$4$ |
$2$ |
$0$ |
$117600$ |
$0.884691$ |
$42396561/16384$ |
$1.03599$ |
$3.16208$ |
$[1, -1, 0, -1792, -16384]$ |
\(y^2+xy=x^3-x^2-1792x-16384\) |
2.2.0.a.1, 7.8.0.a.1, 14.48.0.b.2, 56.96.2.a.2, 62.6.0.a.1, $\ldots$ |
$[ ]$ |
| 48050.o1 |
48050r1 |
48050.o |
48050r |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{3} \cdot 5^{10} \cdot 31^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129600$ |
$1.361814$ |
$24025/8$ |
$0.88092$ |
$3.70289$ |
$[1, 0, 0, -12513, 350017]$ |
\(y^2+xy=x^3-12513x+350017\) |
8.2.0.b.1 |
$[ ]$ |
| 48050.p1 |
48050x2 |
48050.p |
48050x |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{21} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$0.220520620$ |
$1$ |
|
$8$ |
$60480$ |
$0.762123$ |
$7915045705/2097152$ |
$0.95599$ |
$3.04999$ |
$[1, 0, 0, -1198, 11652]$ |
\(y^2+xy=x^3-1198x+11652\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 465.8.0.?, 3720.16.0.? |
$[(-4, 130)]$ |
| 48050.p2 |
48050x1 |
48050.p |
48050x |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{7} \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$0.661561862$ |
$1$ |
|
$4$ |
$20160$ |
$0.212817$ |
$348454105/128$ |
$0.91295$ |
$2.76029$ |
$[1, 0, 0, -423, -3383]$ |
\(y^2+xy=x^3-423x-3383\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 465.8.0.?, 3720.16.0.? |
$[(-12, 7)]$ |
| 48050.q1 |
48050p2 |
48050.q |
48050p |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$3720$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1205280$ |
$2.458504$ |
$467145913/64$ |
$0.96361$ |
$5.29598$ |
$[1, 1, 1, -3832488, -2889069719]$ |
\(y^2+xy+y=x^3+x^2-3832488x-2889069719\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 15.8.0-3.a.1.1, 24.16.0.a.2, $\ldots$ |
$[ ]$ |
| 48050.q2 |
48050p1 |
48050.q |
48050p |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$3720$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$401760$ |
$1.909199$ |
$10633/4$ |
$0.82178$ |
$4.30429$ |
$[1, 1, 1, -108613, 8105031]$ |
\(y^2+xy+y=x^3+x^2-108613x+8105031\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 15.8.0-3.a.1.2, 24.16.0.a.1, $\ldots$ |
$[ ]$ |
| 48050.r1 |
48050o1 |
48050.r |
48050o |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2 \cdot 5^{2} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$133920$ |
$1.309202$ |
$4185/2$ |
$0.73786$ |
$3.62060$ |
$[1, -1, 1, -9310, -141973]$ |
\(y^2+xy+y=x^3-x^2-9310x-141973\) |
8.2.0.b.1 |
$[ ]$ |
| 48050.s1 |
48050s1 |
48050.s |
48050s |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$2.778814648$ |
$1$ |
|
$0$ |
$4320$ |
$-0.407791$ |
$4185/2$ |
$0.73786$ |
$1.70929$ |
$[1, -1, 1, -10, 7]$ |
\(y^2+xy+y=x^3-x^2-10x+7\) |
8.2.0.b.1 |
$[(-5/2, 33/2)]$ |
| 48050.t1 |
48050t1 |
48050.t |
48050t |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{11} \cdot 5^{10} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$248$ |
$2$ |
$0$ |
$1.334039812$ |
$1$ |
|
$2$ |
$3801600$ |
$2.714062$ |
$-508660425/63488$ |
$0.99261$ |
$5.28209$ |
$[1, -1, 1, -3416055, 2680298447]$ |
\(y^2+xy+y=x^3-x^2-3416055x+2680298447\) |
248.2.0.? |
$[(163, 46046)]$ |
| 48050.u1 |
48050v4 |
48050.u |
48050v |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{3} \cdot 5^{10} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$3720$ |
$384$ |
$9$ |
$5.208064161$ |
$1$ |
|
$0$ |
$918000$ |
$2.344917$ |
$-349938025/8$ |
$1.05078$ |
$5.22928$ |
$[1, 0, 0, -3015638, 2015446892]$ |
\(y^2+xy=x^3-3015638x+2015446892\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(22646/5, 595904/5)]$ |
| 48050.u2 |
48050v3 |
48050.u |
48050v |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2 \cdot 5^{10} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$3720$ |
$384$ |
$9$ |
$15.62419248$ |
$1$ |
|
$0$ |
$306000$ |
$1.795612$ |
$-25/2$ |
$1.09044$ |
$4.16080$ |
$[1, 0, 0, -12513, 6356267]$ |
\(y^2+xy=x^3-12513x+6356267\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(172841869/380, 2234019533637/380)]$ |
| 48050.u3 |
48050v1 |
48050.u |
48050v |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{5} \cdot 5^{2} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$3720$ |
$384$ |
$9$ |
$3.124838497$ |
$1$ |
|
$2$ |
$61200$ |
$0.990894$ |
$-121945/32$ |
$0.94334$ |
$3.33099$ |
$[1, 0, 0, -2903, -72823]$ |
\(y^2+xy=x^3-2903x-72823\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(1196, 40725)]$ |
| 48050.u4 |
48050v2 |
48050.u |
48050v |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$3720$ |
$384$ |
$9$ |
$1.041612832$ |
$1$ |
|
$4$ |
$183600$ |
$1.540199$ |
$46969655/32768$ |
$1.06296$ |
$3.84859$ |
$[1, 0, 0, 21122, 537412]$ |
\(y^2+xy=x^3+21122x+537412\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(18, 952)]$ |
| 48050.v1 |
48050y1 |
48050.v |
48050y |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( - 2^{9} \cdot 5^{8} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$2.567593$ |
$-125768785/492032$ |
$0.90528$ |
$5.02583$ |
$[1, 0, 0, -733263, -673310983]$ |
\(y^2+xy=x^3-733263x-673310983\) |
8.2.0.a.1 |
$[ ]$ |
| 48050.w1 |
48050u2 |
48050.w |
48050u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{6} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$3720$ |
$96$ |
$2$ |
$1.224410393$ |
$1$ |
|
$4$ |
$38880$ |
$0.741511$ |
$467145913/64$ |
$0.96361$ |
$3.38467$ |
$[1, 0, 0, -3988, 96592]$ |
\(y^2+xy=x^3-3988x+96592\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0.a.2, 62.6.0.a.1, $\ldots$ |
$[(36, -16)]$ |
| 48050.w2 |
48050u1 |
48050.w |
48050u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$3720$ |
$96$ |
$2$ |
$3.673231181$ |
$1$ |
|
$0$ |
$12960$ |
$0.192205$ |
$10633/4$ |
$0.82178$ |
$2.39298$ |
$[1, 0, 0, -113, -283]$ |
\(y^2+xy=x^3-113x-283\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 24.16.0.a.1, 62.6.0.a.1, $\ldots$ |
$[(-13/2, 71/2)]$ |
| 48050.x1 |
48050w1 |
48050.x |
48050w |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{3} \cdot 5^{10} \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$46.99802197$ |
$1$ |
|
$0$ |
$4017600$ |
$3.078808$ |
$24025/8$ |
$0.88092$ |
$5.61420$ |
$[1, 1, 1, -12025013, -10463431469]$ |
\(y^2+xy+y=x^3+x^2-12025013x-10463431469\) |
8.2.0.b.1 |
$[(-125365780693411776679/365380733, 85922493905889248615618667606/365380733)]$ |
| 48050.y1 |
48050q2 |
48050.y |
48050q |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{21} \cdot 5^{2} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1874880$ |
$2.479118$ |
$7915045705/2097152$ |
$0.95599$ |
$4.96130$ |
$[1, 1, 1, -1151298, -350578609]$ |
\(y^2+xy+y=x^3+x^2-1151298x-350578609\) |
3.4.0.a.1, 8.2.0.b.1, 15.8.0-3.a.1.1, 24.8.0.b.1, 120.16.0.? |
$[ ]$ |
| 48050.y2 |
48050q1 |
48050.y |
48050q |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{7} \cdot 5^{2} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$624960$ |
$1.929811$ |
$348454105/128$ |
$0.91295$ |
$4.67160$ |
$[1, 1, 1, -406523, 99563401]$ |
\(y^2+xy+y=x^3+x^2-406523x+99563401\) |
3.4.0.a.1, 8.2.0.b.1, 15.8.0-3.a.1.2, 24.8.0.b.1, 120.16.0.? |
$[ ]$ |
