| 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 |
Manin constant |
| 1872.a1 |
1872m2 |
1872.a |
1872m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$1.043194$ |
$315978926832/169$ |
$1.06481$ |
$5.56244$ |
$[0, 0, 0, -24327, -1460430]$ |
\(y^2=x^3-24327x-1460430\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.a2 |
1872m1 |
1872.a |
1872m |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.696620$ |
$-1213857792/28561$ |
$1.24370$ |
$4.46159$ |
$[0, 0, 0, -1512, -23085]$ |
\(y^2=x^3-1512x-23085\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.b1 |
1872g1 |
1872.b |
1872g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{16} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$1.085691$ |
$1909913257984/129730653$ |
$1.03790$ |
$4.99582$ |
$[0, 0, 0, -5862, 162295]$ |
\(y^2=x^3-5862x+162295\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.b2 |
1872g2 |
1872.b |
1872g |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.432266$ |
$77366117936/1172914587$ |
$1.04122$ |
$5.36651$ |
$[0, 0, 0, 5073, 698110]$ |
\(y^2=x^3+5073x+698110\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.c1 |
1872r4 |
1872.c |
1872r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{11} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$2.210529$ |
$986551739719628473/111045168$ |
$1.06555$ |
$7.47767$ |
$[0, 0, 0, -2986491, 1986506026]$ |
\(y^2=x^3-2986491x+1986506026\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[ ]$ |
$1$ |
| 1872.c2 |
1872r3 |
1872.c |
1872r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{16} \cdot 3^{26} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$2.210529$ |
$1416134368422073/725251155408$ |
$1.07849$ |
$6.60885$ |
$[0, 0, 0, -336891, -25526486]$ |
\(y^2=x^3-336891x-25526486\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.c3 |
1872r2 |
1872.c |
1872r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{20} \cdot 3^{16} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$1.863956$ |
$242702053576633/2554695936$ |
$1.10395$ |
$6.37476$ |
$[0, 0, 0, -187131, 30873130]$ |
\(y^2=x^3-187131x+30873130\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.3, 156.48.0.? |
$[ ]$ |
$1$ |
| 1872.c4 |
1872r1 |
1872.c |
1872r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{28} \cdot 3^{11} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$1.517384$ |
$-822656953/207028224$ |
$1.08584$ |
$5.50977$ |
$[0, 0, 0, -2811, 1197610]$ |
\(y^2=x^3-2811x+1197610\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 78.6.0.?, 104.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.d1 |
1872b2 |
1872.d |
1872b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.720200595$ |
$1$ |
|
$7$ |
$256$ |
$-0.016441$ |
$530604/169$ |
$0.85497$ |
$3.10681$ |
$[0, 0, 0, -51, -94]$ |
\(y^2=x^3-51x-94\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(-5, 6)]$ |
$1$ |
| 1872.d2 |
1872b1 |
1872.d |
1872b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.440401191$ |
$1$ |
|
$5$ |
$128$ |
$-0.363015$ |
$11664/13$ |
$0.66228$ |
$2.41617$ |
$[0, 0, 0, 9, -10]$ |
\(y^2=x^3+9x-10\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(2, 4)]$ |
$1$ |
| 1872.e1 |
1872i3 |
1872.e |
1872i |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$5.277961511$ |
$1$ |
|
$3$ |
$1024$ |
$0.752432$ |
$62275269892/39$ |
$1.05219$ |
$5.09346$ |
$[0, 0, 0, -7491, -249550]$ |
\(y^2=x^3-7491x-249550\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 104.24.0.?, 156.24.0.?, $\ldots$ |
$[(146, 1330)]$ |
$1$ |
| 1872.e2 |
1872i2 |
1872.e |
1872i |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$2.638980755$ |
$1$ |
|
$7$ |
$512$ |
$0.405858$ |
$61918288/1521$ |
$0.98715$ |
$3.99192$ |
$[0, 0, 0, -471, -3850]$ |
\(y^2=x^3-471x-3850\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.3, 156.48.0.? |
$[(38, 182)]$ |
$1$ |
| 1872.e3 |
1872i1 |
1872.e |
1872i |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1.319490377$ |
$1$ |
|
$3$ |
$256$ |
$0.059284$ |
$2725888/1053$ |
$0.92420$ |
$3.20947$ |
$[0, 0, 0, -66, 119]$ |
\(y^2=x^3-66x+119\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[(-5, 18)]$ |
$1$ |
| 1872.e4 |
1872i4 |
1872.e |
1872i |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1.319490377$ |
$1$ |
|
$11$ |
$1024$ |
$0.752432$ |
$48668/85683$ |
$1.07537$ |
$4.29157$ |
$[0, 0, 0, 69, -12166]$ |
\(y^2=x^3+69x-12166\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 104.24.0.?, $\ldots$ |
$[(25, 72)]$ |
$1$ |
| 1872.f1 |
1872o1 |
1872.f |
1872o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$312$ |
$48$ |
$0$ |
$1.422710097$ |
$1$ |
|
$3$ |
$192$ |
$-0.228567$ |
$442368/13$ |
$1.27279$ |
$2.96813$ |
$[0, 0, 0, -36, -81]$ |
\(y^2=x^3-36x-81\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.24.0.e.1, $\ldots$ |
$[(9, 18)]$ |
$1$ |
| 1872.f2 |
1872o2 |
1872.f |
1872o |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$312$ |
$48$ |
$0$ |
$2.845420194$ |
$1$ |
|
$3$ |
$384$ |
$0.118007$ |
$432/169$ |
$1.09219$ |
$3.28079$ |
$[0, 0, 0, 9, -270]$ |
\(y^2=x^3+9x-270\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$ |
$[(58, 442)]$ |
$1$ |
| 1872.g1 |
1872k2 |
1872.g |
1872k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.450490$ |
$1033364331/676$ |
$1.11849$ |
$4.29605$ |
$[0, 0, 0, -1011, -12366]$ |
\(y^2=x^3-1011x-12366\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.g2 |
1872k1 |
1872.g |
1872k |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.103916$ |
$-132651/208$ |
$1.11492$ |
$3.28079$ |
$[0, 0, 0, -51, -270]$ |
\(y^2=x^3-51x-270\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.h1 |
1872q3 |
1872.h |
1872q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.924087$ |
$37159393753/1053$ |
$1.11616$ |
$5.20891$ |
$[0, 0, 0, -10011, -385526]$ |
\(y^2=x^3-10011x-385526\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.h2 |
1872q4 |
1872.h |
1872q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.924087$ |
$822656953/85683$ |
$0.96086$ |
$4.70320$ |
$[0, 0, 0, -2811, 51946]$ |
\(y^2=x^3-2811x+51946\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[ ]$ |
$1$ |
| 1872.h3 |
1872q2 |
1872.h |
1872q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.577514$ |
$10218313/1521$ |
$0.91403$ |
$4.12078$ |
$[0, 0, 0, -651, -5510]$ |
\(y^2=x^3-651x-5510\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.3, 156.48.0.? |
$[ ]$ |
$1$ |
| 1872.h4 |
1872q1 |
1872.h |
1872q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.230940$ |
$12167/39$ |
$0.85844$ |
$3.42793$ |
$[0, 0, 0, 69, -470]$ |
\(y^2=x^3+69x-470\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 78.6.0.?, 104.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.i1 |
1872p4 |
1872.i |
1872p |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$1.128765$ |
$181037698000/14480427$ |
$0.98201$ |
$5.05110$ |
$[0, 0, 0, -6735, -197494]$ |
\(y^2=x^3-6735x-197494\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 12.48.0-12.h.1.3, 52.6.0.c.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.i2 |
1872p3 |
1872.i |
1872p |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.782191$ |
$2725888000000/19773$ |
$1.18802$ |
$5.04304$ |
$[0, 0, 0, -6600, -206377]$ |
\(y^2=x^3-6600x-206377\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.4, 26.6.0.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.i3 |
1872p2 |
1872.i |
1872p |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.579458$ |
$1409938000/4563$ |
$0.93342$ |
$4.40673$ |
$[0, 0, 0, -1335, 18722]$ |
\(y^2=x^3-1335x+18722\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 12.48.0-12.h.1.1, 52.6.0.c.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.i4 |
1872p1 |
1872.i |
1872p |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.232885$ |
$16384000/9477$ |
$1.48887$ |
$3.44750$ |
$[0, 0, 0, -120, 11]$ |
\(y^2=x^3-120x+11\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.48.0-12.i.1.2, 26.6.0.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.j1 |
1872c2 |
1872.j |
1872c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.335445$ |
$137842000/117$ |
$0.90407$ |
$4.09813$ |
$[0, 0, 0, -615, -5866]$ |
\(y^2=x^3-615x-5866\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.j2 |
1872c1 |
1872.j |
1872c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$-0.011129$ |
$-256000/507$ |
$0.90091$ |
$3.09284$ |
$[0, 0, 0, -30, -133]$ |
\(y^2=x^3-30x-133\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.k1 |
1872d1 |
1872.k |
1872d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$-0.127868$ |
$256000/117$ |
$0.88864$ |
$2.89554$ |
$[0, 0, 0, -30, -29]$ |
\(y^2=x^3-30x-29\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.k2 |
1872d2 |
1872.k |
1872d |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$0.218706$ |
$686000/507$ |
$0.86569$ |
$3.39433$ |
$[0, 0, 0, 105, -218]$ |
\(y^2=x^3+105x-218\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.l1 |
1872e1 |
1872.l |
1872e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$0.156275$ |
$-235298/13$ |
$0.96559$ |
$3.54040$ |
$[0, 0, 0, -147, -718]$ |
\(y^2=x^3-147x-718\) |
104.2.0.? |
$[ ]$ |
$1$ |
| 1872.m1 |
1872n2 |
1872.m |
1872n |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$2184$ |
$96$ |
$2$ |
$4.209246558$ |
$1$ |
|
$2$ |
$4704$ |
$1.532248$ |
$-1064019559329/125497034$ |
$1.06269$ |
$5.67875$ |
$[0, 0, 0, -30627, -2263518]$ |
\(y^2=x^3-30627x-2263518\) |
7.24.0.a.2, 84.48.0.?, 104.2.0.?, 728.48.2.?, 2184.96.2.? |
$[(217, 1144)]$ |
$1$ |
| 1872.m2 |
1872n1 |
1872.m |
1872n |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{19} \cdot 3^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$2184$ |
$96$ |
$2$ |
$0.601320936$ |
$1$ |
|
$4$ |
$672$ |
$0.559293$ |
$-2146689/1664$ |
$0.96784$ |
$4.02651$ |
$[0, 0, 0, -387, 4482]$ |
\(y^2=x^3-387x+4482\) |
7.24.0.a.1, 84.48.0.?, 104.2.0.?, 728.48.2.?, 2184.96.2.? |
$[(1, 64)]$ |
$1$ |
| 1872.n1 |
1872h3 |
1872.n |
1872h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$624$ |
$192$ |
$3$ |
$1.141225143$ |
$1$ |
|
$7$ |
$2048$ |
$0.852139$ |
$3044193988/85293$ |
$0.95679$ |
$4.69287$ |
$[0, 0, 0, -2739, -53822]$ |
\(y^2=x^3-2739x-53822\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.4, $\ldots$ |
$[(-31, 36)]$ |
$1$ |
| 1872.n2 |
1872h2 |
1872.n |
1872h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.33 |
2Cs |
$312$ |
$192$ |
$3$ |
$2.282450287$ |
$1$ |
|
$7$ |
$1024$ |
$0.505566$ |
$37642192/13689$ |
$0.91195$ |
$3.92587$ |
$[0, 0, 0, -399, 1870]$ |
\(y^2=x^3-399x+1870\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.3, 12.24.0-4.a.1.1, 24.48.0-24.k.1.2, $\ldots$ |
$[(30, 130)]$ |
$1$ |
| 1872.n3 |
1872h1 |
1872.n |
1872h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$624$ |
$192$ |
$3$ |
$1.141225143$ |
$1$ |
|
$3$ |
$512$ |
$0.158993$ |
$420616192/117$ |
$0.96408$ |
$3.87822$ |
$[0, 0, 0, -354, 2563]$ |
\(y^2=x^3-354x+2563\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.4, $\ldots$ |
$[(-1, 54)]$ |
$1$ |
| 1872.n4 |
1872h4 |
1872.n |
1872h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.9 |
2B |
$624$ |
$192$ |
$3$ |
$1.141225143$ |
$1$ |
|
$5$ |
$2048$ |
$0.852139$ |
$269676572/257049$ |
$0.96683$ |
$4.37119$ |
$[0, 0, 0, 1221, 13210]$ |
\(y^2=x^3+1221x+13210\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 12.48.0-12.e.1.1, 104.48.0.?, 208.96.0.?, $\ldots$ |
$[(3, 130)]$ |
$1$ |
| 1872.o1 |
1872a2 |
1872.o |
1872a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.179878995$ |
$1$ |
|
$7$ |
$768$ |
$0.532865$ |
$530604/169$ |
$0.85497$ |
$3.98165$ |
$[0, 0, 0, -459, 2538]$ |
\(y^2=x^3-459x+2538\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(19, 26)]$ |
$1$ |
| 1872.o2 |
1872a1 |
1872.o |
1872a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.359757991$ |
$1$ |
|
$5$ |
$384$ |
$0.186291$ |
$11664/13$ |
$0.66228$ |
$3.29101$ |
$[0, 0, 0, 81, 270]$ |
\(y^2=x^3+81x+270\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-2, 10)]$ |
$1$ |
| 1872.p1 |
1872j2 |
1872.p |
1872j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.999796$ |
$1033364331/676$ |
$1.11849$ |
$5.17088$ |
$[0, 0, 0, -9099, 333882]$ |
\(y^2=x^3-9099x+333882\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.p2 |
1872j1 |
1872.p |
1872j |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{16} \cdot 3^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.653222$ |
$-132651/208$ |
$1.11492$ |
$4.15563$ |
$[0, 0, 0, -459, 7290]$ |
\(y^2=x^3-459x+7290\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.q1 |
1872s3 |
1872.q |
1872s |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{21} \cdot 3^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4320$ |
$1.296841$ |
$-10730978619193/6656$ |
$1.02193$ |
$5.96085$ |
$[0, 0, 0, -66171, -6551638]$ |
\(y^2=x^3-66171x-6551638\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 104.2.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.q2 |
1872s2 |
1872.q |
1872s |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.747534$ |
$-10218313/17576$ |
$0.94717$ |
$4.30385$ |
$[0, 0, 0, -651, -12742]$ |
\(y^2=x^3-651x-12742\) |
3.12.0.a.1, 12.24.0-3.a.1.1, 104.2.0.?, 117.36.0.?, 312.48.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.q3 |
1872s1 |
1872.q |
1872s |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$936$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$0.198227$ |
$12167/26$ |
$0.84415$ |
$3.35862$ |
$[0, 0, 0, 69, 362]$ |
\(y^2=x^3+69x+362\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 104.2.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.r1 |
1872l2 |
1872.r |
1872l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.493887$ |
$315978926832/169$ |
$1.06481$ |
$4.68760$ |
$[0, 0, 0, -2703, 54090]$ |
\(y^2=x^3-2703x+54090\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.r2 |
1872l1 |
1872.r |
1872l |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{3} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.147314$ |
$-1213857792/28561$ |
$1.24370$ |
$3.58676$ |
$[0, 0, 0, -168, 855]$ |
\(y^2=x^3-168x+855\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 1872.s1 |
1872t2 |
1872.s |
1872t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.256780$ |
$3631696/507$ |
$0.85077$ |
$3.61552$ |
$[0, 0, 0, -183, -830]$ |
\(y^2=x^3-183x-830\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.s2 |
1872t1 |
1872.s |
1872t |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.089794$ |
$1048576/117$ |
$1.06619$ |
$3.08267$ |
$[0, 0, 0, -48, 115]$ |
\(y^2=x^3-48x+115\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.t1 |
1872f2 |
1872.t |
1872f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.510839$ |
$94875856/9477$ |
$0.90366$ |
$4.04856$ |
$[0, 0, 0, -543, 4430]$ |
\(y^2=x^3-543x+4430\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 1872.t2 |
1872f1 |
1872.t |
1872f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.164265$ |
$702464/4563$ |
$0.96739$ |
$3.33805$ |
$[0, 0, 0, 42, 335]$ |
\(y^2=x^3+42x+335\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
$1$ |
