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 |
32368.a1 |
32368bh1 |
32368.a |
32368bh |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.527288745$ |
$1$ |
|
$4$ |
$17280$ |
$0.326649$ |
$-610929/224$ |
$0.83608$ |
$2.67674$ |
$[0, 0, 0, -187, 1258]$ |
\(y^2=x^3-187x+1258\) |
56.2.0.b.1 |
$[(13, 32)]$ |
32368.b1 |
32368m1 |
32368.b |
32368m |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{20} \cdot 7 \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1645056$ |
$2.451080$ |
$53520777/1792$ |
$0.96105$ |
$5.24274$ |
$[0, 0, 0, -1586899, -746844782]$ |
\(y^2=x^3-1586899x-746844782\) |
28.2.0.a.1 |
$[]$ |
32368.c1 |
32368u1 |
32368.c |
32368u |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$20.77136356$ |
$1$ |
|
$0$ |
$4112640$ |
$3.006287$ |
$34222845097047888/823543$ |
$1.04422$ |
$6.38257$ |
$[0, 0, 0, -82061839, 286127745178]$ |
\(y^2=x^3-82061839x+286127745178\) |
28.2.0.a.1 |
$[(36986600434/2659, 2362992439154/2659)]$ |
32368.d1 |
32368bl1 |
32368.d |
32368bl |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470016$ |
$1.758587$ |
$610929/343$ |
$0.94788$ |
$4.26640$ |
$[0, 0, 0, -54043, 835210]$ |
\(y^2=x^3-54043x+835210\) |
28.2.0.a.1 |
$[]$ |
32368.e1 |
32368be1 |
32368.e |
32368be |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.596063999$ |
$1$ |
|
$2$ |
$2160$ |
$-0.449435$ |
$4352/7$ |
$0.58444$ |
$1.67490$ |
$[0, 1, 0, 6, -5]$ |
\(y^2=x^3+x^2+6x-5\) |
14.2.0.a.1 |
$[(3, 7)]$ |
32368.f1 |
32368bd6 |
32368.f |
32368bd |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{21} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$8568$ |
$864$ |
$21$ |
$2.531962613$ |
$1$ |
|
$3$ |
$663552$ |
$2.522854$ |
$2251439055699625/25088$ |
$1.06489$ |
$5.84187$ |
$[0, 1, 0, -12625928, 17263833076]$ |
\(y^2=x^3+x^2-12625928x+17263833076\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(2204, 12138)]$ |
32368.f2 |
32368bd5 |
32368.f |
32368bd |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{30} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$8568$ |
$864$ |
$21$ |
$5.063925226$ |
$1$ |
|
$1$ |
$331776$ |
$2.176281$ |
$-548347731625/1835008$ |
$1.02933$ |
$5.04125$ |
$[0, 1, 0, -788488, 270004212]$ |
\(y^2=x^3+x^2-788488x+270004212\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(4927/3, 44506/3)]$ |
32368.f3 |
32368bd4 |
32368.f |
32368bd |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{15} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.12.0.1 |
2B, 3Cs |
$8568$ |
$864$ |
$21$ |
$0.843987537$ |
$1$ |
|
$7$ |
$221184$ |
$1.973549$ |
$4956477625/941192$ |
$1.00821$ |
$4.58752$ |
$[0, 1, 0, -164248, 20946324]$ |
\(y^2=x^3+x^2-164248x+20946324\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.b.1, 24.72.1.h.1, $\ldots$ |
$[(28, 4046)]$ |
32368.f4 |
32368bd2 |
32368.f |
32368bd |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 9.12.0.1 |
2B, 3B |
$8568$ |
$864$ |
$21$ |
$2.531962613$ |
$1$ |
|
$3$ |
$73728$ |
$1.424242$ |
$128787625/98$ |
$0.96763$ |
$4.23602$ |
$[0, 1, 0, -48648, -4143500]$ |
\(y^2=x^3+x^2-48648x-4143500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 9.12.0.a.1, $\ldots$ |
$[(300, 2890)]$ |
32368.f5 |
32368bd1 |
32368.f |
32368bd |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 9.12.0.1 |
2B, 3B |
$8568$ |
$864$ |
$21$ |
$5.063925226$ |
$1$ |
|
$3$ |
$36864$ |
$1.077669$ |
$-15625/28$ |
$1.01712$ |
$3.50352$ |
$[0, 1, 0, -2408, -92876]$ |
\(y^2=x^3+x^2-2408x-92876\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 9.12.0.a.1, $\ldots$ |
$[(862, 25280)]$ |
32368.f6 |
32368bd3 |
32368.f |
32368bd |
$6$ |
$18$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{18} \cdot 7^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.12.0.1 |
2B, 3Cs |
$8568$ |
$864$ |
$21$ |
$1.687975075$ |
$1$ |
|
$5$ |
$110592$ |
$1.626976$ |
$9938375/21952$ |
$0.98695$ |
$4.08906$ |
$[0, 1, 0, 20712, 1932436]$ |
\(y^2=x^3+x^2+20712x+1932436\) |
2.3.0.a.1, 3.12.0.a.1, 6.36.0.a.1, 8.6.0.c.1, 14.6.0.b.1, $\ldots$ |
$[(54, 1792)]$ |
32368.g1 |
32368b1 |
32368.g |
32368b |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.432124414$ |
$1$ |
|
$2$ |
$6048$ |
$0.102925$ |
$-299944192/343$ |
$0.85509$ |
$2.69237$ |
$[0, 1, 0, -232, 1287]$ |
\(y^2=x^3+x^2-232x+1287\) |
14.2.0.a.1 |
$[(9, 3)]$ |
32368.h1 |
32368c1 |
32368.h |
32368c |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$0.831271795$ |
$1$ |
|
$7$ |
$10240$ |
$0.329648$ |
$275684/49$ |
$0.78154$ |
$2.69218$ |
$[0, 1, 0, -232, -1212]$ |
\(y^2=x^3+x^2-232x-1212\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[(-8, 14)]$ |
32368.h2 |
32368c2 |
32368.h |
32368c |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1.662543590$ |
$1$ |
|
$5$ |
$20480$ |
$0.676221$ |
$986078/2401$ |
$0.87303$ |
$2.99388$ |
$[0, 1, 0, 448, -6380]$ |
\(y^2=x^3+x^2+448x-6380\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[(28, 170)]$ |
32368.i1 |
32368bf2 |
32368.i |
32368bf |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{19} \cdot 7^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$2.521900688$ |
$1$ |
|
$3$ |
$1548288$ |
$2.515198$ |
$37936442980801/88817792$ |
$0.95838$ |
$5.44866$ |
$[0, 1, 0, -3236896, -2238053388]$ |
\(y^2=x^3+x^2-3236896x-2238053388\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(49498, 11005120)]$ |
32368.i2 |
32368bf1 |
32368.i |
32368bf |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{26} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$5.043801377$ |
$1$ |
|
$3$ |
$774144$ |
$2.168625$ |
$23912763841/13647872$ |
$0.98171$ |
$4.73905$ |
$[0, 1, 0, -277536, -6695948]$ |
\(y^2=x^3+x^2-277536x-6695948\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(588, 5810)]$ |
32368.j1 |
32368r1 |
32368.j |
32368r |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.923573399$ |
$1$ |
|
$4$ |
$822528$ |
$2.373791$ |
$654699641761/112$ |
$0.96142$ |
$5.60340$ |
$[0, -1, 0, -5530400, 5007751936]$ |
\(y^2=x^3-x^2-5530400x+5007751936\) |
28.2.0.a.1 |
$[(1349, 578)]$ |
32368.k1 |
32368p2 |
32368.k |
32368p |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$5.143292583$ |
$1$ |
|
$2$ |
$176256$ |
$1.777691$ |
$531250000/343$ |
$1.02846$ |
$4.65113$ |
$[0, -1, 0, -204708, 35697676]$ |
\(y^2=x^3-x^2-204708x+35697676\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 28.2.0.a.1, 42.8.0-3.a.1.1, 84.16.0.? |
$[(313, 1480)]$ |
32368.k2 |
32368p1 |
32368.k |
32368p |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1.714430861$ |
$1$ |
|
$2$ |
$58752$ |
$1.228384$ |
$34000/7$ |
$0.64976$ |
$3.72126$ |
$[0, -1, 0, -8188, -226180]$ |
\(y^2=x^3-x^2-8188x-226180\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 28.2.0.a.1, 42.8.0-3.a.1.2, 84.16.0.? |
$[(193, 2312)]$ |
32368.l1 |
32368j1 |
32368.l |
32368j |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{28} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.972921$ |
$2751936625/458752$ |
$0.92219$ |
$3.43958$ |
$[0, -1, 0, -3088, 56768]$ |
\(y^2=x^3-x^2-3088x+56768\) |
28.2.0.a.1 |
$[]$ |
32368.m1 |
32368bb1 |
32368.m |
32368bb |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7^{5} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$140$ |
$10$ |
$0$ |
$5.937849760$ |
$1$ |
|
$2$ |
$587520$ |
$2.380718$ |
$234219472/16807$ |
$0.89839$ |
$5.11791$ |
$[0, -1, 0, -1030092, -376286852]$ |
\(y^2=x^3-x^2-1030092x-376286852\) |
5.5.0.a.1, 28.2.0.a.1, 140.10.0.? |
$[(1221, 13594)]$ |
32368.n1 |
32368ba1 |
32368.n |
32368ba |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.326615855$ |
$1$ |
|
$2$ |
$6912$ |
$0.296299$ |
$1171657/112$ |
$0.81333$ |
$2.69218$ |
$[0, -1, 0, -232, -1168]$ |
\(y^2=x^3-x^2-232x-1168\) |
28.2.0.a.1 |
$[(-7, 8)]$ |
32368.o1 |
32368q1 |
32368.o |
32368q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$2.738384860$ |
$1$ |
|
$2$ |
$72576$ |
$1.284885$ |
$-11060825617/2744$ |
$0.96546$ |
$4.11921$ |
$[0, -1, 0, -32464, -2241088]$ |
\(y^2=x^3-x^2-32464x-2241088\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[(584, 13328)]$ |
32368.o2 |
32368q2 |
32368.o |
32368q |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{9} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$8.215154581$ |
$1$ |
|
$0$ |
$217728$ |
$1.834190$ |
$845095823/80707214$ |
$1.05336$ |
$4.36263$ |
$[0, -1, 0, 13776, -7974848]$ |
\(y^2=x^3-x^2+13776x-7974848\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[(14256/5, 1700104/5)]$ |
32368.p1 |
32368i1 |
32368.p |
32368i |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{5} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$70$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10800$ |
$0.193448$ |
$-117504/16807$ |
$1.18988$ |
$2.46774$ |
$[0, 0, 0, -17, -425]$ |
\(y^2=x^3-17x-425\) |
5.5.0.a.1, 14.2.0.a.1, 70.10.0.a.1 |
$[]$ |
32368.q1 |
32368a4 |
32368.q |
32368a |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$5.605249675$ |
$1$ |
|
$1$ |
$73728$ |
$1.414574$ |
$1443468546/7$ |
$1.04654$ |
$4.40198$ |
$[0, 0, 0, -86411, -9776870]$ |
\(y^2=x^3-86411x-9776870\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 136.24.0.?, $\ldots$ |
$[(-2711/4, 75/4)]$ |
32368.q2 |
32368a3 |
32368.q |
32368a |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$1.401312418$ |
$1$ |
|
$7$ |
$73728$ |
$1.414574$ |
$11090466/2401$ |
$1.11706$ |
$3.93315$ |
$[0, 0, 0, -17051, 677994]$ |
\(y^2=x^3-17051x+677994\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(119, 578)]$ |
32368.q3 |
32368a2 |
32368.q |
32368a |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$2.802624837$ |
$1$ |
|
$7$ |
$36864$ |
$1.068001$ |
$740772/49$ |
$1.06534$ |
$3.60582$ |
$[0, 0, 0, -5491, -147390]$ |
\(y^2=x^3-5491x-147390\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[(-43, 96)]$ |
32368.q4 |
32368a1 |
32368.q |
32368a |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$5.605249675$ |
$1$ |
|
$1$ |
$18432$ |
$0.721427$ |
$432/7$ |
$0.89152$ |
$3.07260$ |
$[0, 0, 0, 289, -9826]$ |
\(y^2=x^3+289x-9826\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(409/3, 8416/3)]$ |
32368.r1 |
32368w4 |
32368.r |
32368w |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$136$ |
$48$ |
$0$ |
$1.828839317$ |
$1$ |
|
$3$ |
$442368$ |
$2.388882$ |
$16342588257633/8185058$ |
$1.11945$ |
$5.36757$ |
$[0, 0, 0, -2444651, 1470568986]$ |
\(y^2=x^3-2444651x+1470568986\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 68.12.0-4.c.1.2, 136.48.0.? |
$[(765, 6936)]$ |
32368.r2 |
32368w2 |
32368.r |
32368w |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 7^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$136$ |
$48$ |
$0$ |
$3.657678634$ |
$1$ |
|
$7$ |
$221184$ |
$2.042309$ |
$6403769793/2775556$ |
$1.13395$ |
$4.61219$ |
$[0, 0, 0, -178891, 14591610]$ |
\(y^2=x^3-178891x+14591610\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 68.24.0-68.b.1.2, 136.48.0.? |
$[(423, 3822)]$ |
32368.r3 |
32368w1 |
32368.r |
32368w |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$136$ |
$48$ |
$0$ |
$1.828839317$ |
$1$ |
|
$7$ |
$110592$ |
$1.695736$ |
$721734273/13328$ |
$0.89265$ |
$4.40198$ |
$[0, 0, 0, -86411, -9619654]$ |
\(y^2=x^3-86411x-9619654\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 34.6.0.a.1, 68.24.0-68.g.1.1, $\ldots$ |
$[(-155, 224)]$ |
32368.r4 |
32368w3 |
32368.r |
32368w |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{8} \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$136$ |
$48$ |
$0$ |
$7.315357268$ |
$1$ |
|
$3$ |
$442368$ |
$2.388882$ |
$250404380127/196003234$ |
$0.98833$ |
$4.96522$ |
$[0, 0, 0, 607189, 108135130]$ |
\(y^2=x^3+607189x+108135130\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 136.48.0.? |
$[(47311/3, 10406890/3)]$ |
32368.s1 |
32368g1 |
32368.s |
32368g |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{20} \cdot 7^{4} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.35 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.263611$ |
$9869198625/614656$ |
$1.04980$ |
$3.83538$ |
$[0, 0, 0, -12155, -487254]$ |
\(y^2=x^3-12155x-487254\) |
2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$ |
$[]$ |
32368.s2 |
32368g2 |
32368.s |
32368g |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.610186$ |
$4869777375/92236816$ |
$1.12615$ |
$4.10027$ |
$[0, 0, 0, 9605, -2040918]$ |
\(y^2=x^3+9605x-2040918\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
32368.t1 |
32368v1 |
32368.t |
32368v |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{20} \cdot 7^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.35 |
2B |
$1904$ |
$192$ |
$9$ |
$6.116212806$ |
$1$ |
|
$3$ |
$835584$ |
$2.680218$ |
$9869198625/614656$ |
$1.04980$ |
$5.47229$ |
$[0, 0, 0, -3512795, -2393878902]$ |
\(y^2=x^3-3512795x-2393878902\) |
2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 16.48.1.cf.1, 34.6.0.a.1, $\ldots$ |
$[(2831, 101738)]$ |
32368.t2 |
32368v2 |
32368.t |
32368v |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.1.118 |
2B |
$1904$ |
$192$ |
$9$ |
$12.23242561$ |
$1$ |
|
$1$ |
$1671168$ |
$3.026791$ |
$4869777375/92236816$ |
$1.12615$ |
$5.73719$ |
$[0, 0, 0, 2775845, -10027030134]$ |
\(y^2=x^3+2775845x-10027030134\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 16.48.1.bn.1, 68.12.0.l.1, $\ldots$ |
$[(4605655/43, 8832829278/43)]$ |
32368.u1 |
32368h2 |
32368.u |
32368h |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{13} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.658476$ |
$60698457/28322$ |
$0.89781$ |
$4.16358$ |
$[0, 0, 0, -37859, -1247902]$ |
\(y^2=x^3-37859x-1247902\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[]$ |
32368.u2 |
32368h1 |
32368.u |
32368h |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{14} \cdot 7 \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.311903$ |
$658503/476$ |
$0.89406$ |
$3.72798$ |
$[0, 0, 0, 8381, -147390]$ |
\(y^2=x^3+8381x-147390\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[]$ |
32368.v1 |
32368bi1 |
32368.v |
32368bi |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{5} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$70$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$183600$ |
$1.610054$ |
$-117504/16807$ |
$1.18988$ |
$4.10466$ |
$[0, 0, 0, -4913, -2088025]$ |
\(y^2=x^3-4913x-2088025\) |
5.5.0.a.1, 14.2.0.a.1, 70.10.0.a.1 |
$[]$ |
32368.w1 |
32368y1 |
32368.w |
32368y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 7^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$10.79080652$ |
$1$ |
|
$0$ |
$1233792$ |
$2.701492$ |
$-11060825617/2744$ |
$0.96546$ |
$5.75613$ |
$[0, 1, 0, -9382192, -11066758316]$ |
\(y^2=x^3+x^2-9382192x-11066758316\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(896754/13, 653881424/13)]$ |
32368.w2 |
32368y2 |
32368.w |
32368y |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 7^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$3.596935509$ |
$1$ |
|
$2$ |
$3701376$ |
$3.250797$ |
$845095823/80707214$ |
$1.05336$ |
$5.99955$ |
$[0, 1, 0, 3981168, -39156541036]$ |
\(y^2=x^3+x^2+3981168x-39156541036\) |
3.4.0.a.1, 56.2.0.b.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(10858, 1133272)]$ |
32368.x1 |
32368n1 |
32368.x |
32368n |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.763503314$ |
$1$ |
|
$0$ |
$117504$ |
$1.712906$ |
$1171657/112$ |
$0.81333$ |
$4.32910$ |
$[0, 1, 0, -67144, -6141068]$ |
\(y^2=x^3+x^2-67144x-6141068\) |
28.2.0.a.1 |
$[(-483/2, 3757/2)]$ |
32368.y1 |
32368o1 |
32368.y |
32368o |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7^{5} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$140$ |
$10$ |
$0$ |
$2.841386837$ |
$1$ |
|
$2$ |
$34560$ |
$0.964109$ |
$234219472/16807$ |
$0.89839$ |
$3.48099$ |
$[0, 1, 0, -3564, -77848]$ |
\(y^2=x^3+x^2-3564x-77848\) |
5.5.0.a.1, 28.2.0.a.1, 140.10.0.? |
$[(79, 374)]$ |
32368.z1 |
32368bj1 |
32368.z |
32368bj |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{28} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470016$ |
$2.389526$ |
$2751936625/458752$ |
$0.92219$ |
$5.07650$ |
$[0, 1, 0, -892528, 273546196]$ |
\(y^2=x^3+x^2-892528x+273546196\) |
28.2.0.a.1 |
$[]$ |
32368.ba1 |
32368x2 |
32368.ba |
32368x |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1.136953733$ |
$1$ |
|
$2$ |
$10368$ |
$0.361084$ |
$531250000/343$ |
$1.02846$ |
$3.01421$ |
$[0, 1, 0, -708, 7016]$ |
\(y^2=x^3+x^2-708x+7016\) |
3.4.0.a.1, 28.2.0.a.1, 84.8.0.?, 204.8.0.?, 714.8.0.?, $\ldots$ |
$[(19, 28)]$ |
32368.ba2 |
32368x1 |
32368.ba |
32368x |
$2$ |
$3$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$3.410861200$ |
$1$ |
|
$2$ |
$3456$ |
$-0.188222$ |
$34000/7$ |
$0.64976$ |
$2.08434$ |
$[0, 1, 0, -28, -56]$ |
\(y^2=x^3+x^2-28x-56\) |
3.4.0.a.1, 28.2.0.a.1, 84.8.0.?, 204.8.0.?, 714.8.0.?, $\ldots$ |
$[(27, 140)]$ |
32368.bb1 |
32368z1 |
32368.bb |
32368z |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$3.061246672$ |
$1$ |
|
$0$ |
$48384$ |
$0.957186$ |
$654699641761/112$ |
$0.96142$ |
$3.96648$ |
$[0, 1, 0, -19136, 1012532]$ |
\(y^2=x^3+x^2-19136x+1012532\) |
28.2.0.a.1 |
$[(317/2, 35/2)]$ |
32368.bc1 |
32368bc2 |
32368.bc |
32368bc |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{17} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$6.812996750$ |
$1$ |
|
$1$ |
$1105920$ |
$2.357590$ |
$234770924809/130960928$ |
$0.97956$ |
$4.95901$ |
$[0, -1, 0, -594280, 33692016]$ |
\(y^2=x^3-x^2-594280x+33692016\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(-38342/9, 10531738/9)]$ |
32368.bc2 |
32368bc1 |
32368.bc |
32368bc |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{22} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$13.62599350$ |
$1$ |
|
$1$ |
$552960$ |
$2.011013$ |
$3449795831/2071552$ |
$0.94689$ |
$4.55262$ |
$[0, -1, 0, 145560, 4098416]$ |
\(y^2=x^3-x^2+145560x+4098416\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(4605493/171, 27798007742/171)]$ |