| 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 |
| 53312.a1 |
53312bn1 |
53312.a |
53312bn |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 7^{4} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.229856200$ |
$1$ |
|
$22$ |
$73728$ |
$0.573824$ |
$-7260624/17$ |
$1.18988$ |
$3.05862$ |
$[0, 0, 0, -1372, 19600]$ |
\(y^2=x^3-1372x+19600\) |
68.2.0.a.1 |
$[(14, 56), (28, 56)]$ |
| 53312.b1 |
53312cn1 |
53312.b |
53312cn |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8386560$ |
$3.082485$ |
$-164384733177/1140850688$ |
$1.05960$ |
$5.54264$ |
$[0, 0, 0, -4792396, 14555399824]$ |
\(y^2=x^3-4792396x+14555399824\) |
68.2.0.a.1 |
$[]$ |
| 53312.c1 |
53312bm1 |
53312.c |
53312bm |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{16} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$1.616657$ |
$-1660932/4913$ |
$0.86662$ |
$3.93155$ |
$[0, 0, 0, -17836, -2266544]$ |
\(y^2=x^3-17836x-2266544\) |
68.2.0.a.1 |
$[]$ |
| 53312.d1 |
53312bf1 |
53312.d |
53312bf |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{16} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.467271532$ |
$1$ |
|
$6$ |
$73728$ |
$0.643703$ |
$-1660932/4913$ |
$0.86662$ |
$2.85883$ |
$[0, 0, 0, -364, -6608]$ |
\(y^2=x^3-364x-6608\) |
68.2.0.a.1 |
$[(46, 272)]$ |
| 53312.e1 |
53312i1 |
53312.e |
53312i |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{44} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$4.710677419$ |
$1$ |
|
$0$ |
$1198080$ |
$2.109531$ |
$-164384733177/1140850688$ |
$1.05960$ |
$4.46991$ |
$[0, 0, 0, -97804, 42435568]$ |
\(y^2=x^3-97804x+42435568\) |
68.2.0.a.1 |
$[(-42866/11, 7602176/11)]$ |
| 53312.f1 |
53312bg1 |
53312.f |
53312bg |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$4.175671288$ |
$1$ |
|
$2$ |
$516096$ |
$1.546778$ |
$-7260624/17$ |
$1.18988$ |
$4.13134$ |
$[0, 0, 0, -67228, 6722800]$ |
\(y^2=x^3-67228x+6722800\) |
68.2.0.a.1 |
$[(100, 1000)]$ |
| 53312.g1 |
53312bd2 |
53312.g |
53312bd |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{25} \cdot 7^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$2.699399034$ |
$1$ |
|
$3$ |
$2064384$ |
$2.418121$ |
$37936442980801/88817792$ |
$0.95838$ |
$5.09183$ |
$[0, 1, 0, -2195265, -1250122721]$ |
\(y^2=x^3+x^2-2195265x-1250122721\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(-837, 1280)]$ |
| 53312.g2 |
53312bd1 |
53312.g |
53312bd |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{32} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$5.398798068$ |
$1$ |
|
$3$ |
$1032192$ |
$2.071548$ |
$23912763841/13647872$ |
$0.98171$ |
$4.41475$ |
$[0, 1, 0, -188225, -3750881]$ |
\(y^2=x^3+x^2-188225x-3750881\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(2893, 153860)]$ |
| 53312.h1 |
53312bk1 |
53312.h |
53312bk |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.358433$ |
$-208537/34$ |
$0.76885$ |
$3.72476$ |
$[0, 1, 0, -14177, -740321]$ |
\(y^2=x^3+x^2-14177x-740321\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 102.8.0.?, 136.2.0.?, 408.16.0.? |
$[]$ |
| 53312.h2 |
53312bk2 |
53312.h |
53312bk |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{21} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.907740$ |
$63905303/39304$ |
$0.92407$ |
$4.22797$ |
$[0, 1, 0, 95583, 2881759]$ |
\(y^2=x^3+x^2+95583x+2881759\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 102.8.0.?, 136.2.0.?, 408.16.0.? |
$[]$ |
| 53312.i1 |
53312p1 |
53312.i |
53312p |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.711325$ |
$35152/17$ |
$0.75928$ |
$2.92606$ |
$[0, 1, 0, -849, -4145]$ |
\(y^2=x^3+x^2-849x-4145\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 56.12.0-4.b.1.2, 68.24.0.f.1, $\ldots$ |
$[]$ |
| 53312.i2 |
53312p2 |
53312.i |
53312p |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{16} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.057898$ |
$415292/289$ |
$0.87236$ |
$3.28030$ |
$[0, 1, 0, 3071, -28449]$ |
\(y^2=x^3+x^2+3071x-28449\) |
2.3.0.a.1, 4.6.0.a.1, 56.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[]$ |
| 53312.j1 |
53312bb1 |
53312.j |
53312bb |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 7^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$8.258939988$ |
$1$ |
|
$0$ |
$112896$ |
$1.404202$ |
$-392/17$ |
$0.76970$ |
$3.68962$ |
$[0, 1, 0, -3201, -608609]$ |
\(y^2=x^3+x^2-3201x-608609\) |
136.2.0.? |
$[(6261/5, 473684/5)]$ |
| 53312.k1 |
53312ba4 |
53312.k |
53312ba |
$4$ |
$6$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{19} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$0.484931050$ |
$1$ |
|
$11$ |
$663552$ |
$2.192162$ |
$159661140625/48275138$ |
$1.06848$ |
$4.58920$ |
$[0, 1, 0, -354433, 56005599]$ |
\(y^2=x^3+x^2-354433x+56005599\) |
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, $\ldots$ |
$[(-85, 9248)]$ |
| 53312.k2 |
53312ba3 |
53312.k |
53312ba |
$4$ |
$6$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{20} \cdot 7^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$0.969862101$ |
$1$ |
|
$7$ |
$331776$ |
$1.845591$ |
$120920208625/19652$ |
$0.98564$ |
$4.56366$ |
$[0, 1, 0, -323073, 70562911]$ |
\(y^2=x^3+x^2-323073x+70562911\) |
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, $\ldots$ |
$[(395, 2176)]$ |
| 53312.k3 |
53312ba2 |
53312.k |
53312ba |
$4$ |
$6$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{21} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$1.454793151$ |
$1$ |
|
$7$ |
$221184$ |
$1.642857$ |
$8805624625/2312$ |
$0.96590$ |
$4.32296$ |
$[0, 1, 0, -134913, -19114145]$ |
\(y^2=x^3+x^2-134913x-19114145\) |
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, $\ldots$ |
$[(-213, 64)]$ |
| 53312.k4 |
53312ba1 |
53312.k |
53312ba |
$4$ |
$6$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{24} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2856$ |
$96$ |
$1$ |
$2.909586303$ |
$1$ |
|
$5$ |
$110592$ |
$1.296284$ |
$3048625/1088$ |
$0.90010$ |
$3.59083$ |
$[0, 1, 0, -9473, -222881]$ |
\(y^2=x^3+x^2-9473x-222881\) |
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, $\ldots$ |
$[(205, 2548)]$ |
| 53312.l1 |
53312ch2 |
53312.l |
53312ch |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{19} \cdot 7^{10} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$2.793299657$ |
$1$ |
|
$13$ |
$294912$ |
$1.881073$ |
$2433138625/1387778$ |
$0.96221$ |
$4.20479$ |
$[0, 1, 0, -87873, 1174207]$ |
\(y^2=x^3+x^2-87873x+1174207\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(303, 1568), (-54, 2401)]$ |
| 53312.l2 |
53312ch1 |
53312.l |
53312ch |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{20} \cdot 7^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$11.17319863$ |
$1$ |
|
$9$ |
$147456$ |
$1.534498$ |
$647214625/3332$ |
$0.86431$ |
$4.08312$ |
$[0, 1, 0, -56513, -5166785]$ |
\(y^2=x^3+x^2-56513x-5166785\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(-143, 104), (367, 4864)]$ |
| 53312.m1 |
53312cg2 |
53312.m |
53312cg |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{17} \cdot 7^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1.135022800$ |
$1$ |
|
$17$ |
$98304$ |
$1.187683$ |
$6097250/289$ |
$0.87700$ |
$3.59083$ |
$[0, 1, 0, -9473, 336895]$ |
\(y^2=x^3+x^2-9473x+336895\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(31, 272), (191, 2352)]$ |
| 53312.m2 |
53312cg1 |
53312.m |
53312cg |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{16} \cdot 7^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$4.540091201$ |
$1$ |
|
$11$ |
$49152$ |
$0.841110$ |
$62500/17$ |
$0.89869$ |
$3.10630$ |
$[0, 1, 0, -1633, -19041]$ |
\(y^2=x^3+x^2-1633x-19041\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(-17, 64), (-15, 48)]$ |
| 53312.n1 |
53312ci2 |
53312.n |
53312ci |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.687759$ |
$5177717000/693889$ |
$0.86902$ |
$4.08312$ |
$[0, 1, 0, -56513, 4514047]$ |
\(y^2=x^3+x^2-56513x+4514047\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 53312.n2 |
53312ci1 |
53312.n |
53312ci |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.341187$ |
$37259704000/833$ |
$1.04949$ |
$4.07339$ |
$[0, 1, 0, -54553, 4886055]$ |
\(y^2=x^3+x^2-54553x+4886055\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 53312.o1 |
53312f1 |
53312.o |
53312f |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{15} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$2.564168608$ |
$1$ |
|
$2$ |
$16128$ |
$0.431246$ |
$-392/17$ |
$0.76970$ |
$2.61689$ |
$[0, 1, 0, -65, -1793]$ |
\(y^2=x^3+x^2-65x-1793\) |
136.2.0.? |
$[(17, 48)]$ |
| 53312.p1 |
53312bw2 |
53312.p |
53312bw |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$952$ |
$48$ |
$0$ |
$1.651464600$ |
$1$ |
|
$5$ |
$46080$ |
$0.827509$ |
$19248832/17$ |
$0.91741$ |
$3.37803$ |
$[0, 1, 0, -4377, 109927]$ |
\(y^2=x^3+x^2-4377x+109927\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 56.12.0-4.b.1.3, 68.12.0.e.1, $\ldots$ |
$[(39, 8)]$ |
| 53312.p2 |
53312bw1 |
53312.p |
53312bw |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{6} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$952$ |
$48$ |
$0$ |
$3.302929200$ |
$1$ |
|
$3$ |
$23040$ |
$0.480935$ |
$-140608/289$ |
$1.04671$ |
$2.68319$ |
$[0, 1, 0, -212, 2470]$ |
\(y^2=x^3+x^2-212x+2470\) |
2.3.0.a.1, 4.6.0.a.1, 28.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[(-15, 50)]$ |
| 53312.q1 |
53312bc1 |
53312.q |
53312bc |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{19} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$4.581779709$ |
$1$ |
|
$2$ |
$23040$ |
$0.385478$ |
$-208537/34$ |
$0.76885$ |
$2.65204$ |
$[0, 1, 0, -289, -2241]$ |
\(y^2=x^3+x^2-289x-2241\) |
3.4.0.a.1, 136.2.0.?, 168.8.0.?, 408.8.0.?, 1428.8.0.?, $\ldots$ |
$[(185, 2512)]$ |
| 53312.q2 |
53312bc2 |
53312.q |
53312bc |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{21} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1.527259903$ |
$1$ |
|
$2$ |
$69120$ |
$0.934784$ |
$63905303/39304$ |
$0.92407$ |
$3.15524$ |
$[0, 1, 0, 1951, 8959]$ |
\(y^2=x^3+x^2+1951x+8959\) |
3.4.0.a.1, 136.2.0.?, 168.8.0.?, 408.8.0.?, 1428.8.0.?, $\ldots$ |
$[(25, 272)]$ |
| 53312.r1 |
53312ck2 |
53312.r |
53312ck |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{23} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$2.260509$ |
$234770924809/130960928$ |
$0.97956$ |
$4.62462$ |
$[0, 1, 0, -403041, -18841313]$ |
\(y^2=x^3+x^2-403041x-18841313\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 53312.r2 |
53312ck1 |
53312.r |
53312ck |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{28} \cdot 7^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.913937$ |
$3449795831/2071552$ |
$0.94689$ |
$4.23687$ |
$[0, 1, 0, 98719, -2283233]$ |
\(y^2=x^3+x^2+98719x-2283233\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 53312.s1 |
53312cj2 |
53312.s |
53312cj |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{15} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.016315$ |
$941192/289$ |
$0.97049$ |
$3.29179$ |
$[0, 1, 0, -3201, -48833]$ |
\(y^2=x^3+x^2-3201x-48833\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 53312.s2 |
53312cj1 |
53312.s |
53312cj |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{12} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.669742$ |
$438976/17$ |
$0.96236$ |
$3.03066$ |
$[0, 1, 0, -1241, 15847]$ |
\(y^2=x^3+x^2-1241x+15847\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 53312.t1 |
53312ca1 |
53312.t |
53312ca |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 7^{2} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.395505134$ |
$1$ |
|
$14$ |
$258048$ |
$1.488899$ |
$-728871512656/410338673$ |
$0.94414$ |
$3.82124$ |
$[0, -1, 0, -17425, 1249361]$ |
\(y^2=x^3-x^2-17425x+1249361\) |
68.2.0.a.1 |
$[(-5, 1156), (97, 680)]$ |
| 53312.u1 |
53312v1 |
53312.u |
53312v |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.739577880$ |
$1$ |
|
$4$ |
$18432$ |
$0.428183$ |
$-208537/68$ |
$0.77633$ |
$2.67029$ |
$[0, -1, 0, -289, 2465]$ |
\(y^2=x^3-x^2-289x+2465\) |
68.2.0.a.1 |
$[(-7, 64)]$ |
| 53312.v1 |
53312bi1 |
53312.v |
53312bi |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 7^{8} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.175884064$ |
$1$ |
|
$12$ |
$64512$ |
$1.028202$ |
$14000/17$ |
$0.64708$ |
$3.20766$ |
$[0, -1, 0, 2287, 43345]$ |
\(y^2=x^3-x^2+2287x+43345\) |
68.2.0.a.1 |
$[(33, 392), (-351/5, 11368/5)]$ |
| 53312.w1 |
53312u1 |
53312.w |
53312u |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.416554780$ |
$1$ |
|
$2$ |
$9216$ |
$0.055248$ |
$14000/17$ |
$0.64708$ |
$2.13493$ |
$[0, -1, 0, 47, 113]$ |
\(y^2=x^3-x^2+47x+113\) |
68.2.0.a.1 |
$[(-1, 8)]$ |
| 53312.x1 |
53312bj1 |
53312.x |
53312bj |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.401138$ |
$-208537/68$ |
$0.77633$ |
$3.74302$ |
$[0, -1, 0, -14177, 817153]$ |
\(y^2=x^3-x^2-14177x+817153\) |
68.2.0.a.1 |
$[]$ |
| 53312.y1 |
53312c1 |
53312.y |
53312c |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{14} \cdot 7^{8} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$6.235389365$ |
$1$ |
|
$0$ |
$1806336$ |
$2.461857$ |
$-728871512656/410338673$ |
$0.94414$ |
$4.89397$ |
$[0, -1, 0, -853841, 426823153]$ |
\(y^2=x^3-x^2-853841x+426823153\) |
68.2.0.a.1 |
$[(-6857/3, 680120/3)]$ |
| 53312.z1 |
53312bx2 |
53312.z |
53312bx |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{19} \cdot 7^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.561398$ |
$60698457/28322$ |
$0.89781$ |
$3.86566$ |
$[0, 0, 0, -25676, 696976]$ |
\(y^2=x^3-25676x+696976\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[]$ |
| 53312.z2 |
53312bx1 |
53312.z |
53312bx |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.214825$ |
$658503/476$ |
$0.89406$ |
$3.45003$ |
$[0, 0, 0, 5684, 82320]$ |
\(y^2=x^3+5684x+82320\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[]$ |
| 53312.ba1 |
53312o4 |
53312.ba |
53312o |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$5.711203455$ |
$1$ |
|
$9$ |
$147456$ |
$1.636040$ |
$82483294977/17$ |
$1.03131$ |
$4.52851$ |
$[0, 0, 0, -284396, 58375856]$ |
\(y^2=x^3-284396x+58375856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(310, 64), (1366, 47104)]$ |
| 53312.ba2 |
53312o2 |
53312.ba |
53312o |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.20 |
2Cs |
$3808$ |
$1536$ |
$53$ |
$5.711203455$ |
$1$ |
|
$17$ |
$73728$ |
$1.289467$ |
$20346417/289$ |
$1.02963$ |
$3.76524$ |
$[0, 0, 0, -17836, 905520]$ |
\(y^2=x^3-17836x+905520\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 56.48.0-8.f.1.2, $\ldots$ |
$[(102, 384), (21, 735)]$ |
| 53312.ba3 |
53312o1 |
53312.ba |
53312o |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$5.711203455$ |
$1$ |
|
$9$ |
$36864$ |
$0.942892$ |
$35937/17$ |
$1.02432$ |
$3.18283$ |
$[0, 0, 0, -2156, -16464]$ |
\(y^2=x^3-2156x-16464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(-10, 64), (-40, 76)]$ |
| 53312.ba4 |
53312o3 |
53312.ba |
53312o |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{18} \cdot 7^{6} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$5.711203455$ |
$1$ |
|
$11$ |
$147456$ |
$1.636040$ |
$-35937/83521$ |
$1.18071$ |
$3.94526$ |
$[0, 0, 0, -2156, 2442160]$ |
\(y^2=x^3-2156x+2442160\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.2, $\ldots$ |
$[(-42, 1568), (4662, 318304)]$ |
| 53312.bb1 |
53312bt4 |
53312.bb |
53312bt |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$9.647789985$ |
$1$ |
|
$1$ |
$147456$ |
$1.636040$ |
$82483294977/17$ |
$1.03131$ |
$4.52851$ |
$[0, 0, 0, -284396, -58375856]$ |
\(y^2=x^3-284396x-58375856\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(28204/3, 4662944/3)]$ |
| 53312.bb2 |
53312bt2 |
53312.bb |
53312bt |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.20 |
2Cs |
$3808$ |
$1536$ |
$53$ |
$4.823894992$ |
$1$ |
|
$5$ |
$73728$ |
$1.289467$ |
$20346417/289$ |
$1.02963$ |
$3.76524$ |
$[0, 0, 0, -17836, -905520]$ |
\(y^2=x^3-17836x-905520\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 56.48.0-8.f.1.2, $\ldots$ |
$[(172, 1056)]$ |
| 53312.bb3 |
53312bt3 |
53312.bb |
53312bt |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{18} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$7616$ |
$1536$ |
$53$ |
$9.647789985$ |
$1$ |
|
$1$ |
$147456$ |
$1.636040$ |
$-35937/83521$ |
$1.18071$ |
$3.94526$ |
$[0, 0, 0, -2156, -2442160]$ |
\(y^2=x^3-2156x-2442160\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 28.24.0-4.d.1.2, $\ldots$ |
$[(19244/11, 1480800/11)]$ |
| 53312.bb4 |
53312bt1 |
53312.bb |
53312bt |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{18} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$7616$ |
$1536$ |
$53$ |
$2.411947496$ |
$1$ |
|
$5$ |
$36864$ |
$0.942892$ |
$35937/17$ |
$1.02432$ |
$3.18283$ |
$[0, 0, 0, -2156, 16464]$ |
\(y^2=x^3-2156x+16464\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(74, 512)]$ |
| 53312.bc1 |
53312s2 |
53312.bc |
53312s |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( 2^{19} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$2.611167122$ |
$1$ |
|
$3$ |
$147456$ |
$1.561398$ |
$60698457/28322$ |
$0.89781$ |
$3.86566$ |
$[0, 0, 0, -25676, -696976]$ |
\(y^2=x^3-25676x-696976\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(-140, 392)]$ |
| 53312.bc2 |
53312s1 |
53312.bc |
53312s |
$2$ |
$2$ |
\( 2^{6} \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$5.222334244$ |
$1$ |
|
$3$ |
$73728$ |
$1.214825$ |
$658503/476$ |
$0.89406$ |
$3.45003$ |
$[0, 0, 0, 5684, -82320]$ |
\(y^2=x^3+5684x-82320\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(2062, 93696)]$ |
