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 |
162288.a1 |
162288c1 |
162288.a |
162288c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{9} \cdot 7^{4} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$552$ |
$2$ |
$0$ |
$0.316526057$ |
$1$ |
|
$24$ |
$470016$ |
$1.163694$ |
$-49/1242$ |
$1.02940$ |
$3.10677$ |
$[0, 0, 0, -147, 143570]$ |
\(y^2=x^3-147x+143570\) |
552.2.0.? |
$[(7, 378), (49, 504)]$ |
162288.b1 |
162288ep1 |
162288.b |
162288ep |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$0.694200$ |
$-256/23$ |
$0.98486$ |
$2.63699$ |
$[0, 0, 0, -147, -8575]$ |
\(y^2=x^3-147x-8575\) |
46.2.0.a.1 |
$[ ]$ |
162288.c1 |
162288a1 |
162288.c |
162288a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.133272281$ |
$1$ |
|
$4$ |
$903168$ |
$1.693033$ |
$524288/621$ |
$1.14672$ |
$3.57298$ |
$[0, 0, 0, 32928, -2352980]$ |
\(y^2=x^3+32928x-2352980\) |
966.2.0.? |
$[(686, 18522)]$ |
162288.d1 |
162288eq1 |
162288.d |
162288eq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{27} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$2.257797856$ |
$1$ |
|
$2$ |
$4386816$ |
$2.383568$ |
$-389094786976768/240588123669$ |
$1.00982$ |
$4.35906$ |
$[0, 0, 0, -608412, 262705660]$ |
\(y^2=x^3-608412x+262705660\) |
966.2.0.? |
$[(24017, 3720087)]$ |
162288.e1 |
162288cz2 |
162288.e |
162288cz |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{10} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$7728$ |
$96$ |
$3$ |
$13.93031860$ |
$1$ |
|
$1$ |
$11943936$ |
$2.884521$ |
$870143011569648/671898241$ |
$0.96420$ |
$5.12688$ |
$[0, 0, 0, -16708167, 26269474770]$ |
\(y^2=x^3-16708167x+26269474770\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 12.12.0.m.1, 24.24.0.cw.1, $\ldots$ |
$[(574890/43, 11550328110/43)]$ |
162288.e2 |
162288cz1 |
162288.e |
162288cz |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{14} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$7728$ |
$96$ |
$3$ |
$6.965159301$ |
$1$ |
|
$1$ |
$5971968$ |
$2.537949$ |
$-1679412953088/3049579729$ |
$1.07901$ |
$4.49317$ |
$[0, 0, 0, -825552, 587286315]$ |
\(y^2=x^3-825552x+587286315\) |
2.3.0.a.1, 4.6.0.e.1, 6.6.0.a.1, 8.12.0.v.1, 12.12.0.l.1, $\ldots$ |
$[(143241/10, 48412539/10)]$ |
162288.f1 |
162288er1 |
162288.f |
162288er |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$903168$ |
$1.550962$ |
$1029037824/596183$ |
$1.06789$ |
$3.48347$ |
$[0, 0, 0, 23373, 46305]$ |
\(y^2=x^3+23373x+46305\) |
46.2.0.a.1 |
$[ ]$ |
162288.g1 |
162288b2 |
162288.g |
162288b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{8} \cdot 7^{10} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$1.593441610$ |
$1$ |
|
$7$ |
$3538944$ |
$2.318447$ |
$42180533641/22862322$ |
$1.12204$ |
$4.25520$ |
$[0, 0, 0, -511707, 35476490]$ |
\(y^2=x^3-511707x+35476490\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(-91, 9016)]$ |
162288.g2 |
162288b1 |
162288.g |
162288b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{10} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$3.186883220$ |
$1$ |
|
$5$ |
$1769472$ |
$1.971874$ |
$590589719/365148$ |
$0.90611$ |
$3.89939$ |
$[0, 0, 0, 123333, 4359530]$ |
\(y^2=x^3+123333x+4359530\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(127, 4698)]$ |
162288.h1 |
162288d1 |
162288.h |
162288d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.285211675$ |
$1$ |
|
$4$ |
$313344$ |
$0.979398$ |
$-3211264/1587$ |
$0.90846$ |
$2.96071$ |
$[0, 0, 0, -2352, -59780]$ |
\(y^2=x^3-2352x-59780\) |
6.2.0.a.1 |
$[(74, 414)]$ |
162288.i1 |
162288k1 |
162288.i |
162288k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{7} \cdot 7^{8} \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.182604352$ |
$1$ |
|
$14$ |
$5419008$ |
$2.530777$ |
$633631943/6716184$ |
$0.94439$ |
$4.46735$ |
$[0, 0, 0, 462021, -502995094]$ |
\(y^2=x^3+462021x-502995094\) |
24.2.0.b.1 |
$[(1519, 60858), (3773, 234416)]$ |
162288.j1 |
162288gg1 |
162288.j |
162288gg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$0.694793494$ |
$1$ |
|
$4$ |
$838656$ |
$1.640175$ |
$756/23$ |
$0.67761$ |
$3.58063$ |
$[0, 0, 0, 9261, 2463426]$ |
\(y^2=x^3+9261x+2463426\) |
276.2.0.? |
$[(147, 2646)]$ |
162288.k1 |
162288dc1 |
162288.k |
162288dc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{9} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$8.330711069$ |
$1$ |
|
$2$ |
$33868800$ |
$3.626781$ |
$-1008050316336685251/23552$ |
$1.03342$ |
$6.27043$ |
$[0, 0, 0, -1618072659, 25052158050066]$ |
\(y^2=x^3-1618072659x+25052158050066\) |
276.2.0.? |
$[(-16665, 6883974)]$ |
162288.l1 |
162288gb1 |
162288.l |
162288gb |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{9} \cdot 7^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$2.242439869$ |
$1$ |
|
$8$ |
$165888$ |
$0.896530$ |
$39366/23$ |
$0.96044$ |
$2.82822$ |
$[0, 0, 0, 1701, -2646]$ |
\(y^2=x^3+1701x-2646\) |
3864.2.0.? |
$[(15, 162), (42, 378)]$ |
162288.m1 |
162288es1 |
162288.m |
162288es |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.582850254$ |
$1$ |
|
$16$ |
$190464$ |
$0.928007$ |
$-110328386/1587$ |
$0.84632$ |
$3.05503$ |
$[0, 0, 0, -4179, 105266]$ |
\(y^2=x^3-4179x+105266\) |
24.2.0.b.1 |
$[(29, 92), (-17, 414)]$ |
162288.n1 |
162288e1 |
162288.n |
162288e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{9} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.020803$ |
$-3451273/9936$ |
$0.85650$ |
$2.97097$ |
$[0, 0, 0, -1659, -63574]$ |
\(y^2=x^3-1659x-63574\) |
276.2.0.? |
$[ ]$ |
162288.o1 |
162288f1 |
162288.o |
162288f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{13} \cdot 7^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$12.68163647$ |
$1$ |
|
$0$ |
$4816896$ |
$2.630566$ |
$-14936239633/50301$ |
$0.93353$ |
$4.81794$ |
$[0, 0, 0, -4847619, -4120034366]$ |
\(y^2=x^3-4847619x-4120034366\) |
276.2.0.? |
$[(12744047/19, 45404021718/19)]$ |
162288.p1 |
162288g2 |
162288.p |
162288g |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{7} \cdot 7^{9} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.317009$ |
$-2181825073/25039686$ |
$0.93269$ |
$4.26142$ |
$[0, 0, 0, -190659, 146249026]$ |
\(y^2=x^3-190659x+146249026\) |
3.4.0.a.1, 84.8.0.?, 552.8.0.?, 3864.16.0.? |
$[ ]$ |
162288.p2 |
162288g1 |
162288.p |
162288g |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.767702$ |
$2924207/34776$ |
$0.86250$ |
$3.70475$ |
$[0, 0, 0, 21021, -5186846]$ |
\(y^2=x^3+21021x-5186846\) |
3.4.0.a.1, 84.8.0.?, 552.8.0.?, 3864.16.0.? |
$[ ]$ |
162288.q1 |
162288gh1 |
162288.q |
162288gh |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8580096$ |
$2.845474$ |
$-1070969436979596/3404825447$ |
$1.10356$ |
$5.03516$ |
$[0, 0, 0, -11556699, -15163116934]$ |
\(y^2=x^3-11556699x-15163116934\) |
276.2.0.? |
$[ ]$ |
162288.r1 |
162288et1 |
162288.r |
162288et |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{11} \cdot 7^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.188228313$ |
$1$ |
|
$12$ |
$1843200$ |
$2.065727$ |
$-3261064466/1917027$ |
$0.88003$ |
$4.04248$ |
$[0, 0, 0, -173019, 39329066]$ |
\(y^2=x^3-173019x+39329066\) |
3864.2.0.? |
$[(7, 6174), (-161, 7938)]$ |
162288.s1 |
162288gc1 |
162288.s |
162288gc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{2} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3677184$ |
$2.421825$ |
$-1070969436979596/3404825447$ |
$1.10356$ |
$4.61141$ |
$[0, 0, 0, -2122659, -1193598126]$ |
\(y^2=x^3-2122659x-1193598126\) |
276.2.0.? |
$[ ]$ |
162288.t1 |
162288h1 |
162288.t |
162288h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{13} \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8128512$ |
$2.768673$ |
$-352263793/2313846$ |
$0.95528$ |
$4.71464$ |
$[0, 0, 0, -1390179, 2217145826]$ |
\(y^2=x^3-1390179x+2217145826\) |
24.2.0.b.1 |
$[ ]$ |
162288.u1 |
162288i1 |
162288.u |
162288i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{21} \cdot 3^{7} \cdot 7^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.150937570$ |
$1$ |
|
$4$ |
$552960$ |
$1.324144$ |
$-174676879/35328$ |
$0.96780$ |
$3.33624$ |
$[0, 0, 0, -11739, -568694]$ |
\(y^2=x^3-11739x-568694\) |
3864.2.0.? |
$[(413, 8064)]$ |
162288.v1 |
162288gd1 |
162288.v |
162288gd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{9} \cdot 7^{7} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4239360$ |
$2.581127$ |
$1888152282/45054401$ |
$0.95440$ |
$4.52118$ |
$[0, 0, 0, 432621, -694704654]$ |
\(y^2=x^3+432621x-694704654\) |
3864.2.0.? |
$[ ]$ |
162288.w1 |
162288j1 |
162288.w |
162288j |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{27} \cdot 3^{19} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$20.04676328$ |
$1$ |
|
$0$ |
$50319360$ |
$3.703724$ |
$503009937352889/1201583849472$ |
$1.01699$ |
$5.61923$ |
$[0, 0, 0, 81835341, 503942130034]$ |
\(y^2=x^3+81835341x+503942130034\) |
3864.2.0.? |
$[(16074269631/661, 2108661955036574/661)]$ |
162288.x1 |
162288ge1 |
162288.x |
162288ge |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3864$ |
$2$ |
$0$ |
$1.017497132$ |
$1$ |
|
$4$ |
$387072$ |
$1.320179$ |
$39366/23$ |
$0.96044$ |
$3.25197$ |
$[0, 0, 0, 9261, -33614]$ |
\(y^2=x^3+9261x-33614\) |
3864.2.0.? |
$[(245, 4116)]$ |
162288.y1 |
162288da1 |
162288.y |
162288da |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{22} \cdot 3^{3} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$3.064371505$ |
$1$ |
|
$2$ |
$1612800$ |
$2.104519$ |
$-1008050316336685251/23552$ |
$1.03342$ |
$4.74780$ |
$[0, 0, 0, -3669099, 2705124506]$ |
\(y^2=x^3-3669099x+2705124506\) |
276.2.0.? |
$[(1087, 1086)]$ |
162288.z1 |
162288gf1 |
162288.z |
162288gf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$276$ |
$2$ |
$0$ |
$1.090163580$ |
$1$ |
|
$4$ |
$39936$ |
$0.117913$ |
$756/23$ |
$0.67761$ |
$2.05800$ |
$[0, 0, 0, 21, 266]$ |
\(y^2=x^3+21x+266\) |
276.2.0.? |
$[(-5, 6)]$ |
162288.ba1 |
162288db2 |
162288.ba |
162288db |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$10.16115864$ |
$1$ |
|
$0$ |
$18247680$ |
$3.008732$ |
$-5702623460245179/252448$ |
$1.02554$ |
$5.51469$ |
$[0, 0, 0, -78788619, -269180355654]$ |
\(y^2=x^3-78788619x-269180355654\) |
3.4.0.a.1, 84.8.0.?, 552.8.0.?, 3864.16.0.? |
$[(7104909/19, 16523867808/19)]$ |
162288.ba2 |
162288db1 |
162288.ba |
162288db |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{27} \cdot 3^{3} \cdot 7^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3864$ |
$16$ |
$0$ |
$3.387052883$ |
$1$ |
|
$2$ |
$6082560$ |
$2.459427$ |
$-5999796014211/2790817792$ |
$0.99901$ |
$4.44287$ |
$[0, 0, 0, -890379, -434312774]$ |
\(y^2=x^3-890379x-434312774\) |
3.4.0.a.1, 84.8.0.?, 552.8.0.?, 3864.16.0.? |
$[(18725, 2558976)]$ |
162288.bb1 |
162288l1 |
162288.bb |
162288l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{26} \cdot 3^{12} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$9.071512173$ |
$1$ |
|
$1$ |
$14450688$ |
$3.062141$ |
$3188856056959/274710528$ |
$1.03319$ |
$5.10233$ |
$[0, 0, 0, -15145851, -20930933590]$ |
\(y^2=x^3-15145851x-20930933590\) |
2.3.0.a.1, 56.6.0.c.1, 184.6.0.?, 322.6.0.?, 1288.12.0.? |
$[(285629/7, 102241280/7)]$ |
162288.bb2 |
162288l2 |
162288.bb |
162288l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{19} \cdot 3^{18} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$4.535756086$ |
$1$ |
|
$3$ |
$28901376$ |
$3.408718$ |
$4096768048001/35984932992$ |
$1.18000$ |
$5.34424$ |
$[0, 0, 0, 16465029, -96828656470]$ |
\(y^2=x^3+16465029x-96828656470\) |
2.3.0.a.1, 56.6.0.b.1, 184.6.0.?, 644.6.0.?, 1288.12.0.? |
$[(20237, 2919616)]$ |
162288.bc1 |
162288m2 |
162288.bc |
162288m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{7} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.810856$ |
$3463512697/3174$ |
$0.94552$ |
$4.04684$ |
$[0, 0, 0, -222411, -40340230]$ |
\(y^2=x^3-222411x-40340230\) |
2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.? |
$[ ]$ |
162288.bc2 |
162288m1 |
162288.bc |
162288m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.464283$ |
$-389017/828$ |
$0.87759$ |
$3.41741$ |
$[0, 0, 0, -10731, -925414]$ |
\(y^2=x^3-10731x-925414\) |
2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.? |
$[ ]$ |
162288.bd1 |
162288gi1 |
162288.bd |
162288gi |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$0.837298890$ |
$1$ |
|
$2$ |
$1216512$ |
$1.894102$ |
$135834624/85169$ |
$1.16958$ |
$3.82051$ |
$[0, 0, 0, 89964, -3000564]$ |
\(y^2=x^3+89964x-3000564\) |
966.2.0.? |
$[(945, 30429)]$ |
162288.be1 |
162288n2 |
162288.be |
162288n |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{13} \cdot 3^{6} \cdot 7^{12} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$2.239765161$ |
$1$ |
|
$7$ |
$3538944$ |
$2.368416$ |
$1494447319737/5411854$ |
$1.04645$ |
$4.55256$ |
$[0, 0, 0, -1680651, -835990470]$ |
\(y^2=x^3-1680651x-835990470\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[(-777, 882)]$ |
162288.be2 |
162288n1 |
162288.be |
162288n |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1.119882580$ |
$1$ |
|
$9$ |
$1769472$ |
$2.021843$ |
$-60698457/725788$ |
$0.93405$ |
$3.96611$ |
$[0, 0, 0, -57771, -24875046]$ |
\(y^2=x^3-57771x-24875046\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[(679, 15778)]$ |
162288.bf1 |
162288eu1 |
162288.bf |
162288eu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$4.182194265$ |
$1$ |
|
$3$ |
$516096$ |
$1.446959$ |
$109744/23$ |
$0.77302$ |
$3.43882$ |
$[0, 0, 0, -19551, 840350]$ |
\(y^2=x^3-19551x+840350\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[(113, 272)]$ |
162288.bf2 |
162288eu2 |
162288.bf |
162288eu |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$2.091097132$ |
$1$ |
|
$5$ |
$1032192$ |
$1.793533$ |
$275684/529$ |
$0.79078$ |
$3.70114$ |
$[0, 0, 0, 42189, 5075714]$ |
\(y^2=x^3+42189x+5075714\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(245, 5488)]$ |
162288.bg1 |
162288o5 |
162288.bg |
162288o |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{14} \cdot 3^{22} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$37748736$ |
$3.631382$ |
$54804145548726848737/637608031452$ |
$1.01569$ |
$6.00437$ |
$[0, 0, 0, -558369651, 5078394744626]$ |
\(y^2=x^3-558369651x+5078394744626\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.2, $\ldots$ |
$[ ]$ |
162288.bg2 |
162288o4 |
162288.bg |
162288o |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{8} \cdot 7^{14} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18874368$ |
$3.284809$ |
$614716917569296417/19093020912$ |
$0.99887$ |
$5.63008$ |
$[0, 0, 0, -124990131, -537836216974]$ |
\(y^2=x^3-124990131x-537836216974\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 48.48.0-8.bb.1.6, 84.12.0.?, $\ldots$ |
$[ ]$ |
162288.bg3 |
162288o3 |
162288.bg |
162288o |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{16} \cdot 3^{14} \cdot 7^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$18874368$ |
$3.284809$ |
$14447092394873377/1439452851984$ |
$0.98473$ |
$5.31745$ |
$[0, 0, 0, -35802291, 75021299570]$ |
\(y^2=x^3-35802291x+75021299570\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 24.48.0-8.e.1.16, $\ldots$ |
$[ ]$ |
162288.bg4 |
162288o2 |
162288.bg |
162288o |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{20} \cdot 3^{10} \cdot 7^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3864$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$9437184$ |
$2.938236$ |
$169967019783457/26337394944$ |
$0.96308$ |
$4.94714$ |
$[0, 0, 0, -8142771, -7653005710]$ |
\(y^2=x^3-8142771x-7653005710\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.6, 56.48.0.v.2, $\ldots$ |
$[ ]$ |
162288.bg5 |
162288o1 |
162288.bg |
162288o |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{28} \cdot 3^{8} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4718592$ |
$2.591663$ |
$221115865823/664731648$ |
$0.94588$ |
$4.51281$ |
$[0, 0, 0, 888909, -660679054]$ |
\(y^2=x^3+888909x-660679054\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 24.24.0-8.n.1.4, $\ldots$ |
$[ ]$ |
162288.bg6 |
162288o6 |
162288.bg |
162288o |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{14} \cdot 3^{10} \cdot 7^{7} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$37748736$ |
$3.631382$ |
$27207619911317663/177609314617308$ |
$1.01748$ |
$5.56445$ |
$[0, 0, 0, 44212749, 362803392434]$ |
\(y^2=x^3+44212749x+362803392434\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[ ]$ |
162288.bh1 |
162288dd2 |
162288.bh |
162288dd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$0.922607$ |
$949104/529$ |
$1.02705$ |
$2.85733$ |
$[0, 0, 0, -1911, -6174]$ |
\(y^2=x^3-1911x-6174\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[ ]$ |
162288.bh2 |
162288dd1 |
162288.bh |
162288dd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$0.576034$ |
$3538944/23$ |
$1.16643$ |
$2.73592$ |
$[0, 0, 0, -1176, 15435]$ |
\(y^2=x^3-1176x+15435\) |
2.3.0.a.1, 12.6.0.b.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[ ]$ |
162288.bi1 |
162288de1 |
162288.bi |
162288de |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{12} \cdot 3^{9} \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.007444934$ |
$1$ |
|
$4$ |
$230400$ |
$1.052641$ |
$774144/529$ |
$0.91239$ |
$2.97210$ |
$[0, 0, 0, 3024, -27216]$ |
\(y^2=x^3+3024x-27216\) |
6.2.0.a.1 |
$[(9, 27), (25, 253)]$ |
162288.bj1 |
162288df1 |
162288.bj |
162288df |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 23 \) |
\( - 2^{13} \cdot 3^{3} \cdot 7^{2} \cdot 23^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$552$ |
$2$ |
$0$ |
$0.725362338$ |
$1$ |
|
$12$ |
$414720$ |
$1.345770$ |
$22099801941/12872686$ |
$1.04145$ |
$3.27781$ |
$[0, 0, 0, 10269, 32354]$ |
\(y^2=x^3+10269x+32354\) |
552.2.0.? |
$[(25, 552), (33961/15, 7562584/15)]$ |