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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
1050.a1 |
1050a7 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3 \cdot 5^{9} \cdot 7^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$5.488707349$ |
$1$ |
|
$2$ |
$13824$ |
$2.003746$ |
$29689921233686449/10380965400750$ |
$[1, 1, 0, -161275, 15616375]$ |
\(y^2+xy=x^3+x^2-161275x+15616375\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[(1095, 33415)]$ |
1050.a2 |
1050a4 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{7} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1.829569116$ |
$1$ |
|
$4$ |
$4608$ |
$1.454439$ |
$21145699168383889/2593080$ |
$[1, 1, 0, -144025, 20978125]$ |
\(y^2+xy=x^3+x^2-144025x+20978125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.3, $\ldots$ |
$[(225, 50)]$ |
1050.a3 |
1050a6 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{12} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$840$ |
$384$ |
$5$ |
$2.744353674$ |
$1$ |
|
$8$ |
$6912$ |
$1.657171$ |
$2179252305146449/66177562500$ |
$[1, 1, 0, -67525, -6602375]$ |
\(y^2+xy=x^3+x^2-67525x-6602375\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.1, $\ldots$ |
$[(-155, 490)]$ |
1050.a4 |
1050a3 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3 \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$5.488707349$ |
$1$ |
|
$3$ |
$3456$ |
$1.310598$ |
$2131200347946769/2058000$ |
$[1, 1, 0, -67025, -6706875]$ |
\(y^2+xy=x^3+x^2-67025x-6706875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(334, 2715)]$ |
1050.a5 |
1050a2 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$840$ |
$384$ |
$5$ |
$0.914784558$ |
$1$ |
|
$14$ |
$2304$ |
$1.107864$ |
$5203798902289/57153600$ |
$[1, 1, 0, -9025, 323125]$ |
\(y^2+xy=x^3+x^2-9025x+323125\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0-6.a.1.6, 15.8.0-3.a.1.2, $\ldots$ |
$[(15, 430)]$ |
1050.a6 |
1050a5 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{12} \cdot 5^{10} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1.829569116$ |
$1$ |
|
$4$ |
$4608$ |
$1.454439$ |
$-58818484369/18600435000$ |
$[1, 1, 0, -2025, 820125]$ |
\(y^2+xy=x^3+x^2-2025x+820125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(55, 910)]$ |
1050.a7 |
1050a1 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1.829569116$ |
$1$ |
|
$7$ |
$1152$ |
$0.761292$ |
$7633736209/3870720$ |
$[1, 1, 0, -1025, -4875]$ |
\(y^2+xy=x^3+x^2-1025x-4875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0-12.g.1.5, $\ldots$ |
$[(-5, 15)]$ |
1050.a8 |
1050a8 |
1050.a |
1050a |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{4} \cdot 5^{18} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$5.488707349$ |
$1$ |
|
$2$ |
$13824$ |
$2.003746$ |
$42841933504271/13565917968750$ |
$[1, 1, 0, 18225, -22123125]$ |
\(y^2+xy=x^3+x^2+18225x-22123125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(531, 11466)]$ |
1050.b1 |
1050d1 |
1050.b |
1050d |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3 \cdot 5^{4} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$840$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$600$ |
$0.504548$ |
$-14822892630025/42$ |
$[1, 1, 0, -4375, -113225]$ |
\(y^2+xy=x^3+x^2-4375x-113225\) |
5.24.0-5.a.2.1, 168.2.0.?, 840.48.1.? |
$[]$ |
1050.b2 |
1050d2 |
1050.b |
1050d |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{5} \cdot 3^{5} \cdot 5^{8} \cdot 7^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$840$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3000$ |
$1.309267$ |
$46969655/130691232$ |
$[1, 1, 0, 550, -343500]$ |
\(y^2+xy=x^3+x^2+550x-343500\) |
5.24.0-5.a.1.1, 168.2.0.?, 840.48.1.? |
$[]$ |
1050.c1 |
1050c7 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.53 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$49152$ |
$2.599148$ |
$783736670177727068275201/360150$ |
$[1, 1, 0, -48020000, -128100018750]$ |
\(y^2+xy=x^3+x^2-48020000x-128100018750\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.v.2, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
1050.c2 |
1050c5 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.73 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$24576$ |
$2.252575$ |
$191342053882402567201/129708022500$ |
$[1, 1, 0, -3001250, -2002500000]$ |
\(y^2+xy=x^3+x^2-3001250x-2002500000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.1, 16.96.0-8.l.1.5, 20.24.0-4.b.1.1, $\ldots$ |
$[]$ |
1050.c3 |
1050c8 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3 \cdot 5^{8} \cdot 7^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.314 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$2.599148$ |
$-187778242790732059201/4984939585440150$ |
$[1, 1, 0, -2982500, -2028731250]$ |
\(y^2+xy=x^3+x^2-2982500x-2028731250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.96.0-16.v.2.8, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
1050.c4 |
1050c4 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.312 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.906002$ |
$378499465220294881/120530818800$ |
$[1, 1, 0, -376750, 88826500]$ |
\(y^2+xy=x^3+x^2-376750x+88826500\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.96.0-16.v.1.4, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
1050.c5 |
1050c3 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{14} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.18 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$12288$ |
$1.906002$ |
$47595748626367201/1215506250000$ |
$[1, 1, 0, -188750, -30937500]$ |
\(y^2+xy=x^3+x^2-188750x-30937500\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.c.1, 16.96.0-8.c.1.4, 20.48.0-4.b.1.1, $\ldots$ |
$[]$ |
1050.c6 |
1050c2 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.44 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$6144$ |
$1.559427$ |
$135487869158881/51438240000$ |
$[1, 1, 0, -26750, 976500]$ |
\(y^2+xy=x^3+x^2-26750x+976500\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.l.2, 16.96.0-8.l.2.4, 20.24.0-4.b.1.3, $\ldots$ |
$[]$ |
1050.c7 |
1050c1 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.34 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.212854$ |
$1023887723039/928972800$ |
$[1, 1, 0, 5250, 112500]$ |
\(y^2+xy=x^3+x^2+5250x+112500\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.v.1, $\ldots$ |
$[]$ |
1050.c8 |
1050c6 |
1050.c |
1050c |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{22} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.24 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$24576$ |
$2.252575$ |
$226523624554079/269165039062500$ |
$[1, 1, 0, 31750, -98631000]$ |
\(y^2+xy=x^3+x^2+31750x-98631000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0.j.1, 20.24.0-4.d.1.1, $\ldots$ |
$[]$ |
1050.d1 |
1050e1 |
1050.d |
1050e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3 \cdot 5^{3} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.315220447$ |
$1$ |
|
$9$ |
$384$ |
$0.132283$ |
$461889917/263424$ |
$[1, 1, 0, -80, 0]$ |
\(y^2+xy=x^3+x^2-80x\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(-5, 20)]$ |
1050.d2 |
1050e2 |
1050.d |
1050e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.157610223$ |
$1$ |
|
$16$ |
$768$ |
$0.478857$ |
$28849701763/16941456$ |
$[1, 1, 0, 320, 400]$ |
\(y^2+xy=x^3+x^2+320x+400\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(4, 40)]$ |
1050.e1 |
1050b1 |
1050.e |
1050b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$168$ |
$-0.152554$ |
$-125768785/30618$ |
$[1, 1, 0, -30, -90]$ |
\(y^2+xy=x^3+x^2-30x-90\) |
168.2.0.? |
$[]$ |
1050.f1 |
1050f1 |
1050.f |
1050f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{19} \cdot 3^{5} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2280$ |
$0.915233$ |
$-1103770289367265/891813888$ |
$[1, 0, 1, -6296, -192922]$ |
\(y^2+xy+y=x^3-6296x-192922\) |
168.2.0.? |
$[]$ |
1050.g1 |
1050i1 |
1050.g |
1050i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.168758936$ |
$1$ |
|
$13$ |
$320$ |
$0.091347$ |
$4386781853/27216$ |
$[1, 0, 1, -171, 838]$ |
\(y^2+xy+y=x^3-171x+838\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(2, 21)]$ |
1050.g2 |
1050i2 |
1050.g |
1050i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.084379468$ |
$1$ |
|
$20$ |
$640$ |
$0.437920$ |
$-310288733/11573604$ |
$[1, 0, 1, -71, 1838]$ |
\(y^2+xy+y=x^3-71x+1838\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(-3, 46)]$ |
1050.h1 |
1050g5 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{2} \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6144$ |
$1.541477$ |
$524388516989299201/3150$ |
$[1, 0, 1, -420001, -104801602]$ |
\(y^2+xy+y=x^3-420001x-104801602\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
1050.h2 |
1050g3 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{10} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3072$ |
$1.194902$ |
$128031684631201/9922500$ |
$[1, 0, 1, -26251, -1639102]$ |
\(y^2+xy+y=x^3-26251x-1639102\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 20.24.0-4.b.1.1, 24.48.0-8.e.2.8, $\ldots$ |
$[]$ |
1050.h3 |
1050g6 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{8} \cdot 5^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.541477$ |
$-104094944089921/35880468750$ |
$[1, 0, 1, -24501, -1866602]$ |
\(y^2+xy+y=x^3-24501x-1866602\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.1, 40.48.0-8.bb.1.8, $\ldots$ |
$[]$ |
1050.h4 |
1050g4 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3 \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$1.194902$ |
$5602762882081/345888060$ |
$[1, 0, 1, -9251, 322898]$ |
\(y^2+xy+y=x^3-9251x+322898\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
1050.h5 |
1050g2 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$1536$ |
$0.848330$ |
$37966934881/8643600$ |
$[1, 0, 1, -1751, -22102]$ |
\(y^2+xy+y=x^3-1751x-22102\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 20.24.0-4.b.1.3, $\ldots$ |
$[]$ |
1050.h6 |
1050g1 |
1050.h |
1050g |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3 \cdot 5^{7} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.501756$ |
$109902239/188160$ |
$[1, 0, 1, 249, -2102]$ |
\(y^2+xy+y=x^3+249x-2102\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$ |
$[]$ |
1050.i1 |
1050h4 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$560$ |
$192$ |
$1$ |
$0.697547317$ |
$1$ |
|
$6$ |
$2048$ |
$0.993820$ |
$268498407453697/252$ |
$[1, 0, 1, -33601, 2367848]$ |
\(y^2+xy+y=x^3-33601x+2367848\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 20.12.0-4.c.1.2, $\ldots$ |
$[(112, 56)]$ |
1050.i2 |
1050h5 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$0.348773658$ |
$1$ |
|
$10$ |
$4096$ |
$1.340393$ |
$84448510979617/933897762$ |
$[1, 0, 1, -22851, -1318652]$ |
\(y^2+xy+y=x^3-22851x-1318652\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.1, 40.96.0-8.p.1.4, $\ldots$ |
$[(-82, 114)]$ |
1050.i3 |
1050h3 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$280$ |
$192$ |
$1$ |
$0.174386829$ |
$1$ |
|
$28$ |
$2048$ |
$0.993820$ |
$124475734657/63011844$ |
$[1, 0, 1, -2601, 17848]$ |
\(y^2+xy+y=x^3-2601x+17848\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 20.24.0-4.b.1.1, 40.96.0-8.f.1.1, $\ldots$ |
$[(77, 486)]$ |
1050.i4 |
1050h2 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$280$ |
$192$ |
$1$ |
$0.348773658$ |
$1$ |
|
$18$ |
$1024$ |
$0.647246$ |
$65597103937/63504$ |
$[1, 0, 1, -2101, 36848]$ |
\(y^2+xy+y=x^3-2101x+36848\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 20.24.0-4.b.1.3, 28.24.0.c.1, $\ldots$ |
$[(7, 146)]$ |
1050.i5 |
1050h1 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$560$ |
$192$ |
$1$ |
$0.697547317$ |
$1$ |
|
$7$ |
$512$ |
$0.300673$ |
$-7189057/16128$ |
$[1, 0, 1, -101, 848]$ |
\(y^2+xy+y=x^3-101x+848\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[(3, 22)]$ |
1050.i6 |
1050h6 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2 \cdot 3^{16} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$560$ |
$192$ |
$1$ |
$0.348773658$ |
$1$ |
|
$8$ |
$4096$ |
$1.340393$ |
$6359387729183/4218578658$ |
$[1, 0, 1, 9649, 140348]$ |
\(y^2+xy+y=x^3+9649x+140348\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(42, 766)]$ |
1050.j1 |
1050j2 |
1050.j |
1050j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3 \cdot 5^{4} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$648$ |
$0.385317$ |
$-7620530425/526848$ |
$[1, 0, 1, -351, -2702]$ |
\(y^2+xy+y=x^3-351x-2702\) |
3.8.0-3.a.1.1, 168.16.0.? |
$[]$ |
1050.j2 |
1050j1 |
1050.j |
1050j |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$216$ |
$-0.163989$ |
$2595575/1512$ |
$[1, 0, 1, 24, -2]$ |
\(y^2+xy+y=x^3+24x-2\) |
3.8.0-3.a.1.2, 168.16.0.? |
$[]$ |
1050.k1 |
1050k7 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$27648$ |
$2.306984$ |
$4791901410190533590281/41160000$ |
$[1, 1, 1, -8780813, -10018641469]$ |
\(y^2+xy+y=x^3+x^2-8780813x-10018641469\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
1050.k2 |
1050k6 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$420$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$13824$ |
$1.960411$ |
$1169975873419524361/108425318400$ |
$[1, 1, 1, -548813, -156705469]$ |
\(y^2+xy+y=x^3+x^2-548813x-156705469\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.2.12, $\ldots$ |
$[]$ |
1050.k3 |
1050k8 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{7} \cdot 7^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$2.306984$ |
$-932348627918877961/358766164249920$ |
$[1, 1, 1, -508813, -180465469]$ |
\(y^2+xy+y=x^3+x^2-508813x-180465469\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.2.5, $\ldots$ |
$[]$ |
1050.k4 |
1050k4 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{18} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.6, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9216$ |
$1.757677$ |
$9150443179640281/184570312500$ |
$[1, 1, 1, -108938, -13641469]$ |
\(y^2+xy+y=x^3+x^2-108938x-13641469\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.5, $\ldots$ |
$[]$ |
1050.k5 |
1050k3 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{24} \cdot 3 \cdot 5^{7} \cdot 7^{3} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$6912$ |
$1.613836$ |
$353108405631241/86318776320$ |
$[1, 1, 1, -36813, -2081469]$ |
\(y^2+xy+y=x^3+x^2-36813x-2081469\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
1050.k6 |
1050k2 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{12} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.1, 3.4.0.1 |
2Cs, 3B |
$420$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$4608$ |
$1.411104$ |
$21302308926361/8930250000$ |
$[1, 1, 1, -14438, 344531]$ |
\(y^2+xy+y=x^3+x^2-14438x+344531\) |
2.6.0.a.1, 3.4.0.a.1, 4.12.0-2.a.1.1, 6.24.0.a.1, 12.96.0-12.a.1.14, $\ldots$ |
$[]$ |
1050.k7 |
1050k1 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$2304$ |
$1.064531$ |
$13619385906841/6048000$ |
$[1, 1, 1, -12438, 528531]$ |
\(y^2+xy+y=x^3+x^2-12438x+528531\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.48.0-12.g.1.1, $\ldots$ |
$[]$ |
1050.k8 |
1050k5 |
1050.k |
1050k |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{12} \cdot 5^{9} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.8, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.757677$ |
$785793873833639/637994920500$ |
$[1, 1, 1, 48062, 2594531]$ |
\(y^2+xy+y=x^3+x^2+48062x+2594531\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.2, 6.12.0.a.1, 12.96.0-12.c.1.5, $\ldots$ |
$[]$ |
1050.l1 |
1050l2 |
1050.l |
1050l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{9} \cdot 3 \cdot 5^{10} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3240$ |
$1.190037$ |
$-7620530425/526848$ |
$[1, 1, 1, -8763, -337719]$ |
\(y^2+xy+y=x^3+x^2-8763x-337719\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 168.8.0.?, 840.16.0.? |
$[]$ |
1050.l2 |
1050l1 |
1050.l |
1050l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{10} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1080$ |
$0.640730$ |
$2595575/1512$ |
$[1, 1, 1, 612, -219]$ |
\(y^2+xy+y=x^3+x^2+612x-219\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 168.8.0.?, 840.16.0.? |
$[]$ |
1050.m1 |
1050m1 |
1050.m |
1050m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1600$ |
$0.896066$ |
$4386781853/27216$ |
$[1, 1, 1, -4263, 104781]$ |
\(y^2+xy+y=x^3+x^2-4263x+104781\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
1050.m2 |
1050m2 |
1050.m |
1050m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3200$ |
$1.242640$ |
$-310288733/11573604$ |
$[1, 1, 1, -1763, 229781]$ |
\(y^2+xy+y=x^3+x^2-1763x+229781\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |