| 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 |
| 12675.a1 |
12675n1 |
12675.a |
12675n |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.533747553$ |
$1$ |
|
$6$ |
$179712$ |
$1.828495$ |
$-18264064/675$ |
$0.88749$ |
$4.97054$ |
$[0, -1, 1, -128158, 18256968]$ |
\(y^2+y=x^3-x^2-128158x+18256968\) |
6.2.0.a.1 |
$[(282, 2112)]$ |
| 12675.b1 |
12675u1 |
12675.b |
12675u |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{9} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$1.795054391$ |
$1$ |
|
$4$ |
$486720$ |
$2.388699$ |
$-99897344/27$ |
$1.11700$ |
$5.92646$ |
$[0, -1, 1, -2654708, 1666116818]$ |
\(y^2+y=x^3-x^2-2654708x+1666116818\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.2, 30.72.1.o.1, 39.6.0.b.1, $\ldots$ |
$[(958, 1098)]$ |
| 12675.b2 |
12675u2 |
12675.b |
12675u |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 5^{9} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$8.975271955$ |
$1$ |
|
$0$ |
$2433600$ |
$3.193417$ |
$24288219136/14348907$ |
$1.16189$ |
$6.50791$ |
$[0, -1, 1, 16569042, -3754980682]$ |
\(y^2+y=x^3-x^2+16569042x-3754980682\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$ |
$[(362957/2, 218884909/2)]$ |
| 12675.c1 |
12675m1 |
12675.c |
12675m |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.703075419$ |
$1$ |
|
$2$ |
$28080$ |
$1.123272$ |
$266240/243$ |
$1.11082$ |
$3.83499$ |
$[0, -1, 1, 3662, -66012]$ |
\(y^2+y=x^3-x^2+3662x-66012\) |
6.2.0.a.1 |
$[(71, 739)]$ |
| 12675.d1 |
12675s1 |
12675.d |
12675s |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3 \cdot 5^{4} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$14040$ |
$0.689376$ |
$-102400/3$ |
$1.04391$ |
$3.53680$ |
$[0, -1, 1, -1408, -20382]$ |
\(y^2+y=x^3-x^2-1408x-20382\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 65.24.0-5.a.2.2, 390.48.1.? |
$[]$ |
| 12675.d2 |
12675s2 |
12675.d |
12675s |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{5} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$70200$ |
$1.494095$ |
$20480/243$ |
$1.13104$ |
$4.35708$ |
$[0, -1, 1, 7042, 1002068]$ |
\(y^2+y=x^3-x^2+7042x+1002068\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 65.24.0-5.a.1.2, 390.48.1.? |
$[]$ |
| 12675.e1 |
12675bn1 |
12675.e |
12675bn |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$0.138152713$ |
$1$ |
|
$22$ |
$7488$ |
$0.301504$ |
$-99897344/27$ |
$1.11700$ |
$3.27533$ |
$[0, 1, 1, -628, 5854]$ |
\(y^2+y=x^3+x^2-628x+5854\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.2, 30.72.1.o.1, 39.6.0.b.1, $\ldots$ |
$[(17, 19), (-22, 97)]$ |
| 12675.e2 |
12675bn2 |
12675.e |
12675bn |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 5^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$0.138152713$ |
$1$ |
|
$28$ |
$37440$ |
$1.106222$ |
$24288219136/14348907$ |
$1.16189$ |
$3.85677$ |
$[0, 1, 1, 3922, -12346]$ |
\(y^2+y=x^3+x^2+3922x-12346\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$ |
$[(13, 202), (823, 23692)]$ |
| 12675.f1 |
12675bl1 |
12675.f |
12675bl |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{5} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.274841768$ |
$1$ |
|
$6$ |
$10800$ |
$0.645515$ |
$266240/243$ |
$1.11082$ |
$3.22815$ |
$[0, 1, 1, 542, -3506]$ |
\(y^2+y=x^3+x^2+542x-3506\) |
6.2.0.a.1 |
$[(8, 37)]$ |
| 12675.g1 |
12675h1 |
12675.g |
12675h |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1.740486508$ |
$1$ |
|
$2$ |
$9072$ |
$0.527075$ |
$117161545345/19683$ |
$0.98734$ |
$3.58148$ |
$[1, 1, 1, -1648, -26434]$ |
\(y^2+xy+y=x^3+x^2-1648x-26434\) |
12.2.0.a.1 |
$[(-24, 13)]$ |
| 12675.h1 |
12675p2 |
12675.h |
12675p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$359424$ |
$2.598709$ |
$258840217117/18225$ |
$0.98858$ |
$6.24730$ |
$[1, 1, 1, -7292438, 7576291406]$ |
\(y^2+xy+y=x^3+x^2-7292438x+7576291406\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 12675.h2 |
12675p1 |
12675.h |
12675p |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$179712$ |
$2.252136$ |
$-51895117/16875$ |
$0.92390$ |
$5.39322$ |
$[1, 1, 1, -426813, 133953906]$ |
\(y^2+xy+y=x^3+x^2-426813x+133953906\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 12675.i1 |
12675f1 |
12675.i |
12675f |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{10} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.360872324$ |
$1$ |
|
$2$ |
$120960$ |
$2.066738$ |
$304175/9477$ |
$0.95479$ |
$5.08889$ |
$[1, 1, 1, 50612, 31877906]$ |
\(y^2+xy+y=x^3+x^2+50612x+31877906\) |
52.2.0.a.1 |
$[(-151, 4638)]$ |
| 12675.j1 |
12675e7 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3 \cdot 5^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.2 |
2B |
$6240$ |
$768$ |
$13$ |
$33.24541596$ |
$1$ |
|
$0$ |
$1548288$ |
$3.276611$ |
$242970740812818720001/24375$ |
$1.04119$ |
$7.61965$ |
$[1, 1, 1, -549250088, -4954768596094]$ |
\(y^2+xy+y=x^3+x^2-549250088x-4954768596094\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.1, $\ldots$ |
$[(17699783745308225/99064, 2353712990649723475903003/99064)]$ |
| 12675.j2 |
12675e5 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{2} \cdot 5^{14} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.5 |
2Cs |
$3120$ |
$768$ |
$13$ |
$16.62270798$ |
$1$ |
|
$2$ |
$774144$ |
$2.930038$ |
$59319456301170001/594140625$ |
$1.01234$ |
$6.73922$ |
$[1, 1, 1, -34328213, -77428596094]$ |
\(y^2+xy+y=x^3+x^2-34328213x-77428596094\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0-8.i.1.2, 24.48.0.bb.1, $\ldots$ |
$[(-137717221/202, 12897787705/202)]$ |
| 12675.j3 |
12675e8 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3 \cdot 5^{22} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.2 |
2B |
$6240$ |
$768$ |
$13$ |
$33.24541596$ |
$1$ |
|
$0$ |
$1548288$ |
$3.276611$ |
$-55150149867714721/5950927734375$ |
$1.01425$ |
$6.74961$ |
$[1, 1, 1, -33504338, -81320581594]$ |
\(y^2+xy+y=x^3+x^2-33504338x-81320581594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.2, $\ldots$ |
$[(273832395417059/12322, 4529637259164750529349/12322)]$ |
| 12675.j4 |
12675e3 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.48 |
2Cs |
$3120$ |
$768$ |
$13$ |
$8.311353991$ |
$1$ |
|
$2$ |
$387072$ |
$2.583462$ |
$15551989015681/1445900625$ |
$0.97384$ |
$5.86633$ |
$[1, 1, 1, -2197088, -1149305344]$ |
\(y^2+xy+y=x^3+x^2-2197088x-1149305344\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.6, 24.96.0-24.b.1.19, 40.96.0-40.b.2.14, $\ldots$ |
$[(-3421/2, 85429/2)]$ |
| 12675.j5 |
12675e2 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.14 |
2Cs |
$3120$ |
$768$ |
$13$ |
$4.155676995$ |
$1$ |
|
$4$ |
$193536$ |
$2.236889$ |
$168288035761/27720225$ |
$1.01793$ |
$5.38723$ |
$[1, 1, 1, -485963, 110082656]$ |
\(y^2+xy+y=x^3+x^2-485963x+110082656\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.i.1.7, 40.96.0-40.bc.2.12, 48.96.0-48.d.1.19, $\ldots$ |
$[(201, 4435)]$ |
| 12675.j6 |
12675e1 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.34 |
2B |
$6240$ |
$768$ |
$13$ |
$2.077838497$ |
$1$ |
|
$9$ |
$96768$ |
$1.890316$ |
$147281603041/5265$ |
$0.93867$ |
$5.37312$ |
$[1, 1, 1, -464838, 121785906]$ |
\(y^2+xy+y=x^3+x^2-464838x+121785906\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 16.48.0-16.g.1.15, 40.48.0-40.cb.2.10, $\ldots$ |
$[(370, 602)]$ |
| 12675.j7 |
12675e4 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.50 |
2B |
$6240$ |
$768$ |
$13$ |
$2.077838497$ |
$1$ |
|
$2$ |
$387072$ |
$2.583462$ |
$1023887723039/2798036865$ |
$1.05353$ |
$5.71748$ |
$[1, 1, 1, 887162, 620885156]$ |
\(y^2+xy+y=x^3+x^2+887162x+620885156\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 16.48.0-16.g.1.11, 40.48.0-40.ca.1.6, $\ldots$ |
$[(265, 29442)]$ |
| 12675.j8 |
12675e6 |
12675.j |
12675e |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.62 |
2B |
$6240$ |
$768$ |
$13$ |
$4.155676995$ |
$1$ |
|
$2$ |
$774144$ |
$2.930038$ |
$24487529386319/183539412225$ |
$1.01498$ |
$6.17699$ |
$[1, 1, 1, 2556037, -5436624094]$ |
\(y^2+xy+y=x^3+x^2+2556037x-5436624094\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0-8.q.1.2, 24.48.0.be.2, $\ldots$ |
$[(14955, 1830397)]$ |
| 12675.k1 |
12675g1 |
12675.k |
12675g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3 \cdot 5^{10} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$12.75441378$ |
$1$ |
|
$0$ |
$196560$ |
$2.270111$ |
$-4225/3$ |
$0.86800$ |
$5.38702$ |
$[1, 1, 1, -371888, 130109156]$ |
\(y^2+xy+y=x^3+x^2-371888x+130109156\) |
6.2.0.a.1 |
$[(313166/13, 165401536/13)]$ |
| 12675.l1 |
12675bj1 |
12675.l |
12675bj |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1.326502709$ |
$1$ |
|
$4$ |
$589680$ |
$2.614269$ |
$117161545345/19683$ |
$0.98734$ |
$6.23261$ |
$[1, 0, 0, -6962888, -7071390483]$ |
\(y^2+xy=x^3-6962888x-7071390483\) |
12.2.0.a.1 |
$[(-1523, 1774)]$ |
| 12675.m1 |
12675y2 |
12675.m |
12675y |
$2$ |
$7$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{14} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$10920$ |
$192$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$305760$ |
$2.477562$ |
$-276301129/4782969$ |
$1.06787$ |
$5.61472$ |
$[1, 0, 0, -316963, -381909958]$ |
\(y^2+xy=x^3-316963x-381909958\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 35.16.0-7.a.1.2, 91.24.0.?, $\ldots$ |
$[]$ |
| 12675.m2 |
12675y1 |
12675.m |
12675y |
$2$ |
$7$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$10920$ |
$192$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$43680$ |
$1.504606$ |
$-658489/9$ |
$0.91436$ |
$4.61474$ |
$[1, 0, 0, -42338, 3388917]$ |
\(y^2+xy=x^3-42338x+3388917\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 35.16.0-7.a.1.1, 91.24.0.?, $\ldots$ |
$[]$ |
| 12675.n1 |
12675x7 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$221184$ |
$2.378063$ |
$1114544804970241/405$ |
$1.07354$ |
$6.31852$ |
$[1, 0, 0, -9126088, -10612219333]$ |
\(y^2+xy=x^3-9126088x-10612219333\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
| 12675.n2 |
12675x5 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$2.031490$ |
$272223782641/164025$ |
$1.03897$ |
$5.43814$ |
$[1, 0, 0, -570463, -165801208]$ |
\(y^2+xy=x^3-570463x-165801208\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[]$ |
| 12675.n3 |
12675x8 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{16} \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.378063$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.50648$ |
$[1, 0, 0, -464838, -229070583]$ |
\(y^2+xy=x^3-464838x-229070583\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
| 12675.n4 |
12675x4 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3 \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.684916$ |
$56667352321/15$ |
$1.03019$ |
$5.27202$ |
$[1, 0, 0, -338088, 75636417]$ |
\(y^2+xy=x^3-338088x+75636417\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[]$ |
| 12675.n5 |
12675x3 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$55296$ |
$1.684916$ |
$111284641/50625$ |
$1.02534$ |
$4.61227$ |
$[1, 0, 0, -42338, -1554333]$ |
\(y^2+xy=x^3-42338x-1554333\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[]$ |
| 12675.n6 |
12675x2 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$27648$ |
$1.338343$ |
$13997521/225$ |
$0.96230$ |
$4.39282$ |
$[1, 0, 0, -21213, 1170792]$ |
\(y^2+xy=x^3-21213x+1170792\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[]$ |
| 12675.n7 |
12675x1 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3 \cdot 5^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$0.991769$ |
$-1/15$ |
$1.19808$ |
$3.72686$ |
$[1, 0, 0, -88, 51167]$ |
\(y^2+xy=x^3-88x+51167\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[]$ |
| 12675.n8 |
12675x6 |
12675.n |
12675x |
$8$ |
$16$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{14} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$2.031490$ |
$4733169839/3515625$ |
$1.05585$ |
$5.00924$ |
$[1, 0, 0, 147787, -11630958]$ |
\(y^2+xy=x^3+147787x-11630958\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[]$ |
| 12675.o1 |
12675bi1 |
12675.o |
12675bi |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3 \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.713748025$ |
$1$ |
|
$4$ |
$3024$ |
$0.182919$ |
$-4225/3$ |
$0.86800$ |
$2.73589$ |
$[1, 0, 0, -88, 467]$ |
\(y^2+xy=x^3-88x+467\) |
6.2.0.a.1 |
$[(1, 19)]$ |
| 12675.p1 |
12675z1 |
12675.p |
12675z |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.137777$ |
$-417267265/19773$ |
$0.90540$ |
$4.07907$ |
$[1, 0, 0, -7693, -270778]$ |
\(y^2+xy=x^3-7693x-270778\) |
52.2.0.a.1 |
$[]$ |
| 12675.q1 |
12675b2 |
12675.q |
12675b |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{18} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$9.014116838$ |
$1$ |
|
$0$ |
$82944$ |
$1.830242$ |
$-21752792449024/6591796875$ |
$1.06323$ |
$4.86043$ |
$[0, -1, 1, -80383, -10800957]$ |
\(y^2+y=x^3-x^2-80383x-10800957\) |
3.4.0.a.1, 6.8.0.b.1, 195.8.0.?, 390.16.0.? |
$[(40413/2, 8120571/2)]$ |
| 12675.q2 |
12675b1 |
12675.q |
12675b |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$390$ |
$16$ |
$0$ |
$3.004705612$ |
$1$ |
|
$2$ |
$27648$ |
$1.280935$ |
$16742875136/12301875$ |
$1.10013$ |
$4.05697$ |
$[0, -1, 1, 7367, 123918]$ |
\(y^2+y=x^3-x^2+7367x+123918\) |
3.4.0.a.1, 6.8.0.b.1, 195.8.0.?, 390.16.0.? |
$[(12, 462)]$ |
| 12675.r1 |
12675q1 |
12675.r |
12675q |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{5} \cdot 5^{9} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67200$ |
$1.840618$ |
$-32768/3159$ |
$1.04783$ |
$4.80486$ |
$[0, -1, 1, -14083, 8332443]$ |
\(y^2+y=x^3-x^2-14083x+8332443\) |
390.2.0.? |
$[]$ |
| 12675.s1 |
12675a2 |
12675.s |
12675a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{18} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$46.75868673$ |
$1$ |
|
$0$ |
$1078272$ |
$3.112717$ |
$-21752792449024/6591796875$ |
$1.06323$ |
$6.48942$ |
$[0, -1, 1, -13584783, -23784041032]$ |
\(y^2+y=x^3-x^2-13584783x-23784041032\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[(672814737024130502972/390779389, 2580111952710510385179342322628/390779389)]$ |
| 12675.s2 |
12675a1 |
12675.s |
12675a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$15.58622891$ |
$1$ |
|
$0$ |
$359424$ |
$2.563412$ |
$16742875136/12301875$ |
$1.10013$ |
$5.68596$ |
$[0, -1, 1, 1244967, 277228343]$ |
\(y^2+y=x^3-x^2+1244967x+277228343\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[(23806637/91, 125210433902/91)]$ |
| 12675.t1 |
12675bd1 |
12675.t |
12675bd |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{9} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$390$ |
$24$ |
$1$ |
$1.604907748$ |
$1$ |
|
$4$ |
$134784$ |
$2.090595$ |
$2097152/3375$ |
$1.12282$ |
$5.06747$ |
$[0, 1, 1, 146467, 28841219]$ |
\(y^2+y=x^3+x^2+146467x+28841219\) |
3.6.0.b.1, 30.12.0.b.1, 39.12.0.a.1, 390.24.1.? |
$[(-113, 3295)]$ |
| 12675.u1 |
12675be1 |
12675.u |
12675be |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{5} \cdot 5^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.178828483$ |
$1$ |
|
$6$ |
$13440$ |
$1.035900$ |
$-32768/3159$ |
$1.04783$ |
$3.78271$ |
$[0, 1, 1, -563, 66434]$ |
\(y^2+y=x^3+x^2-563x+66434\) |
390.2.0.? |
$[(82, 760)]$ |
| 12675.v1 |
12675bc1 |
12675.v |
12675bc |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{9} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$390$ |
$24$ |
$1$ |
$0.316665217$ |
$1$ |
|
$6$ |
$10368$ |
$0.808122$ |
$2097152/3375$ |
$1.12282$ |
$3.43848$ |
$[0, 1, 1, 867, 13394]$ |
\(y^2+y=x^3+x^2+867x+13394\) |
3.6.0.b.1, 30.12.0.b.1, 39.12.0.a.1, 390.24.1.? |
$[(18, 187)]$ |
| 12675.w1 |
12675c1 |
12675.w |
12675c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3 \cdot 5^{10} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.396191870$ |
$1$ |
|
$2$ |
$15120$ |
$0.987638$ |
$-4225/3$ |
$0.86800$ |
$3.75803$ |
$[1, 1, 0, -2200, 58375]$ |
\(y^2+xy=x^3+x^2-2200x+58375\) |
6.2.0.a.1 |
$[(66, 421)]$ |
| 12675.x1 |
12675r1 |
12675.x |
12675r |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.942497$ |
$-417267265/19773$ |
$0.90540$ |
$5.10121$ |
$[1, 1, 0, -192325, -33847250]$ |
\(y^2+xy=x^3+x^2-192325x-33847250\) |
52.2.0.a.1 |
$[]$ |
| 12675.y1 |
12675o2 |
12675.y |
12675o |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.316235$ |
$258840217117/18225$ |
$0.98858$ |
$4.61831$ |
$[1, 1, 0, -43150, 3431875]$ |
\(y^2+xy=x^3+x^2-43150x+3431875\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 12675.y2 |
12675o1 |
12675.y |
12675o |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$0.969660$ |
$-51895117/16875$ |
$0.92390$ |
$3.76423$ |
$[1, 1, 0, -2525, 60000]$ |
\(y^2+xy=x^3+x^2-2525x+60000\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 12675.z1 |
12675d1 |
12675.z |
12675d |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$9.170890342$ |
$1$ |
|
$0$ |
$117936$ |
$1.809549$ |
$117161545345/19683$ |
$0.98734$ |
$5.21047$ |
$[1, 1, 0, -278515, -56682530]$ |
\(y^2+xy=x^3+x^2-278515x-56682530\) |
12.2.0.a.1 |
$[(-1212074/63, 60745042/63)]$ |
| 12675.ba1 |
12675w3 |
12675.ba |
12675w |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$1.768827$ |
$37159393753/1053$ |
$1.11616$ |
$5.22735$ |
$[1, 0, 1, -293726, -61294777]$ |
\(y^2+xy+y=x^3-293726x-61294777\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.ba.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 12675.ba2 |
12675w4 |
12675.ba |
12675w |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 3 \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86016$ |
$1.768827$ |
$822656953/85683$ |
$0.96086$ |
$4.82402$ |
$[1, 0, 1, -82476, 8248723]$ |
\(y^2+xy+y=x^3-82476x+8248723\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[]$ |
