| 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 |
| 28830.a1 |
28830h7 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 31^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$384$ |
$5$ |
$5.319170684$ |
$1$ |
|
$12$ |
$691200$ |
$2.281158$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.64435$ |
$[1, 1, 0, -5125513, 4464229117]$ |
\(y^2+xy=x^3+x^2-5125513x+4464229117\) |
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, $\ldots$ |
$[(1237, 3706), (253023/14, 929249/14)]$ |
| 28830.a2 |
28830h8 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \cdot 31^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$384$ |
$5$ |
$21.27668273$ |
$1$ |
|
$6$ |
$691200$ |
$2.281158$ |
$10316097499609/5859375000$ |
$1.13600$ |
$4.92432$ |
$[1, 1, 0, -435833, 14891373]$ |
\(y^2+xy=x^3+x^2-435833x+14891373\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(-437, 11270), (-647, 5477)]$ |
| 28830.a3 |
28830h6 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 31^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3720$ |
$384$ |
$5$ |
$5.319170684$ |
$1$ |
|
$22$ |
$345600$ |
$1.934586$ |
$4102915888729/9000000$ |
$1.05221$ |
$4.83453$ |
$[1, 1, 0, -320513, 69576117]$ |
\(y^2+xy=x^3+x^2-320513x+69576117\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(346, 327), (314, -25)]$ |
| 28830.a4 |
28830h5 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{4} \cdot 31^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$384$ |
$5$ |
$21.27668273$ |
$1$ |
|
$4$ |
$230400$ |
$1.731853$ |
$2656166199049/33750$ |
$1.05017$ |
$4.79219$ |
$[1, 1, 0, -277268, -56310078]$ |
\(y^2+xy=x^3+x^2-277268x-56310078\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(1857, 75471), (-1217/2, 1411/2)]$ |
| 28830.a5 |
28830h4 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 31^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$384$ |
$5$ |
$5.319170684$ |
$1$ |
|
$6$ |
$230400$ |
$1.731853$ |
$35578826569/5314410$ |
$1.03393$ |
$4.37221$ |
$[1, 1, 0, -65848, 5574478]$ |
\(y^2+xy=x^3+x^2-65848x+5574478\) |
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, $\ldots$ |
$[(-3, 2404), (-189, 3458)]$ |
| 28830.a6 |
28830h2 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 31^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$3720$ |
$384$ |
$5$ |
$5.319170684$ |
$1$ |
|
$18$ |
$115200$ |
$1.385281$ |
$702595369/72900$ |
$1.00457$ |
$3.99002$ |
$[1, 1, 0, -17798, -835392]$ |
\(y^2+xy=x^3+x^2-17798x-835392\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(-91, 248), (-64, 248)]$ |
| 28830.a7 |
28830h3 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 31^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$384$ |
$5$ |
$5.319170684$ |
$1$ |
|
$9$ |
$172800$ |
$1.588013$ |
$-273359449/1536000$ |
$1.04920$ |
$4.12900$ |
$[1, 1, 0, -12993, 1860213]$ |
\(y^2+xy=x^3+x^2-12993x+1860213\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(121, 1381), (143/2, 9467/2)]$ |
| 28830.a8 |
28830h1 |
28830.a |
28830h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 31^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$3720$ |
$384$ |
$5$ |
$5.319170684$ |
$1$ |
|
$9$ |
$57600$ |
$1.038706$ |
$357911/2160$ |
$0.99689$ |
$3.47016$ |
$[1, 1, 0, 1422, -62748]$ |
\(y^2+xy=x^3+x^2+1422x-62748\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(59, 451), (284, 4690)]$ |
| 28830.b1 |
28830b1 |
28830.b |
28830b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 5^{4} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.528999045$ |
$1$ |
|
$0$ |
$446400$ |
$2.141266$ |
$-244298569/1215000$ |
$0.94148$ |
$4.77613$ |
$[1, 1, 0, -123508, 51696712]$ |
\(y^2+xy=x^3+x^2-123508x+51696712\) |
24.2.0.b.1 |
$[(639/2, 47411/2)]$ |
| 28830.c1 |
28830e2 |
28830.c |
28830e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{2} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2222080$ |
$2.948105$ |
$1710348447079/478296900$ |
$0.99669$ |
$5.75252$ |
$[1, 1, 0, -7422303, -5598136647]$ |
\(y^2+xy=x^3+x^2-7422303x-5598136647\) |
2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 1860.12.0.? |
$[ ]$ |
| 28830.c2 |
28830e1 |
28830.c |
28830e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1111040$ |
$2.601528$ |
$1330637032999/174960$ |
$0.98361$ |
$5.72807$ |
$[1, 1, 0, -6826483, -6867114083]$ |
\(y^2+xy=x^3+x^2-6826483x-6867114083\) |
2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 930.6.0.?, 1860.12.0.? |
$[ ]$ |
| 28830.d1 |
28830d2 |
28830.d |
28830d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{6} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1.520514132$ |
$1$ |
|
$8$ |
$17280$ |
$0.411312$ |
$-9704452009/375000$ |
$0.92664$ |
$2.91440$ |
$[1, 1, 0, -438, 3468]$ |
\(y^2+xy=x^3+x^2-438x+3468\) |
3.4.0.a.1, 24.8.0.d.1, 93.8.0.?, 744.16.0.? |
$[(-1, 63), (11, 6)]$ |
| 28830.d2 |
28830d1 |
28830.d |
28830d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$744$ |
$16$ |
$0$ |
$1.520514132$ |
$1$ |
|
$8$ |
$5760$ |
$-0.137995$ |
$2136551/1350$ |
$0.88104$ |
$2.08806$ |
$[1, 1, 0, 27, 27]$ |
\(y^2+xy=x^3+x^2+27x+27\) |
3.4.0.a.1, 24.8.0.d.1, 93.8.0.?, 744.16.0.? |
$[(1, 7), (-1, 1)]$ |
| 28830.e1 |
28830c1 |
28830.e |
28830c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{23} \cdot 3^{11} \cdot 5^{3} \cdot 31^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$87436800$ |
$4.651863$ |
$-124427822010671478697670089/5317924709672681472000$ |
$1.05646$ |
$7.86441$ |
$[1, 1, 0, -9995119328, -398572245715968]$ |
\(y^2+xy=x^3+x^2-9995119328x-398572245715968\) |
3720.2.0.? |
$[ ]$ |
| 28830.f1 |
28830f1 |
28830.f |
28830f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 31^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$0.749178$ |
$1911240521/1875000$ |
$0.96277$ |
$3.08428$ |
$[1, 1, 0, 802, -6948]$ |
\(y^2+xy=x^3+x^2+802x-6948\) |
3720.2.0.? |
$[ ]$ |
| 28830.g1 |
28830a1 |
28830.g |
28830a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 31^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$21.70682765$ |
$1$ |
|
$0$ |
$1607040$ |
$2.845844$ |
$8596156121591/5400000000$ |
$1.01997$ |
$5.57535$ |
$[1, 1, 0, 4047232, -914723328]$ |
\(y^2+xy=x^3+x^2+4047232x-914723328\) |
24.2.0.b.1 |
$[(58052827591/2879, 14452639971114943/2879)]$ |
| 28830.h1 |
28830g4 |
28830.h |
28830g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{3} \cdot 31^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1105920$ |
$2.447578$ |
$383432500775449/18701300250$ |
$1.08110$ |
$5.27639$ |
$[1, 1, 0, -1454493, 645489963]$ |
\(y^2+xy=x^3+x^2-1454493x+645489963\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 28830.h2 |
28830g2 |
28830.h |
28830g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{6} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$552960$ |
$2.101006$ |
$2023804595449/540562500$ |
$0.94018$ |
$4.76571$ |
$[1, 1, 0, -253243, -36099287]$ |
\(y^2+xy=x^3+x^2-253243x-36099287\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 248.12.0.?, $\ldots$ |
$[ ]$ |
| 28830.h3 |
28830g1 |
28830.h |
28830g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{3} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$276480$ |
$1.754431$ |
$1597099875769/186000$ |
$0.92887$ |
$4.74265$ |
$[1, 1, 0, -234023, -43668123]$ |
\(y^2+xy=x^3+x^2-234023x-43668123\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 28830.h4 |
28830g3 |
28830.h |
28830g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2 \cdot 3 \cdot 5^{12} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1105920$ |
$2.447578$ |
$32740359775271/45410156250$ |
$0.97141$ |
$5.06931$ |
$[1, 1, 0, 640487, -232898633]$ |
\(y^2+xy=x^3+x^2+640487x-232898633\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
| 28830.i1 |
28830j2 |
28830.i |
28830j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$2.055069777$ |
$1$ |
|
$4$ |
$1843200$ |
$2.646904$ |
$901456690969801/457629750000$ |
$0.99863$ |
$5.35963$ |
$[1, 1, 0, -1934032, 361930576]$ |
\(y^2+xy=x^3+x^2-1934032x+361930576\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[(1392, 18524)]$ |
| 28830.i2 |
28830j1 |
28830.i |
28830j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$4.110139555$ |
$1$ |
|
$3$ |
$921600$ |
$2.300331$ |
$11298232190519/7472736000$ |
$0.97672$ |
$4.93317$ |
$[1, 1, 0, 449248, 44001024]$ |
\(y^2+xy=x^3+x^2+449248x+44001024\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[(-32, 5456)]$ |
| 28830.j1 |
28830i2 |
28830.j |
28830i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$1.972911472$ |
$1$ |
|
$0$ |
$345600$ |
$1.966599$ |
$-15777367606441/3574920$ |
$0.94496$ |
$4.96573$ |
$[1, 1, 0, -502142, 136775964]$ |
\(y^2+xy=x^3+x^2-502142x+136775964\) |
3.4.0.a.1, 93.8.0.?, 120.8.0.?, 3720.16.0.? |
$[(-725/2, 119889/2)]$ |
| 28830.j2 |
28830i1 |
28830.j |
28830i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3720$ |
$16$ |
$0$ |
$0.657637157$ |
$1$ |
|
$4$ |
$115200$ |
$1.417292$ |
$1685159/209250$ |
$0.91805$ |
$3.92488$ |
$[1, 1, 0, 2383, 655119]$ |
\(y^2+xy=x^3+x^2+2383x+655119\) |
3.4.0.a.1, 93.8.0.?, 120.8.0.?, 3720.16.0.? |
$[(-65, 513)]$ |
| 28830.k1 |
28830k2 |
28830.k |
28830k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 5 \cdot 31^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$53.13606190$ |
$1$ |
|
$0$ |
$3993600$ |
$3.198715$ |
$1152829477932246539641/3188367360$ |
$1.02640$ |
$6.72892$ |
$[1, 1, 0, -209928067, -1170809725619]$ |
\(y^2+xy=x^3+x^2-209928067x-1170809725619\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[(241680187488907569008395/3728046323, 33812196641281621406075576274302408/3728046323)]$ |
| 28830.k2 |
28830k1 |
28830.k |
28830k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{26} \cdot 3^{2} \cdot 5^{2} \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$26.56803095$ |
$1$ |
|
$1$ |
$1996800$ |
$2.852142$ |
$-281115640967896441/468084326400$ |
$1.04713$ |
$5.91911$ |
$[1, 1, 0, -13115267, -18313331379]$ |
\(y^2+xy=x^3+x^2-13115267x-18313331379\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[(43678827083990/70753, 256700695890307116917/70753)]$ |
| 28830.l1 |
28830r1 |
28830.l |
28830r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{9} \cdot 3 \cdot 5^{5} \cdot 31^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$2.852099093$ |
$1$ |
|
$2$ |
$345600$ |
$2.013264$ |
$-932288503609/148800000$ |
$0.92916$ |
$4.71395$ |
$[1, 0, 1, -195584, 37588046]$ |
\(y^2+xy+y=x^3-195584x+37588046\) |
3720.2.0.? |
$[(1196, 38322)]$ |
| 28830.m1 |
28830q1 |
28830.m |
28830q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 5^{4} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$0.620722723$ |
$1$ |
|
$4$ |
$14400$ |
$0.424274$ |
$-244298569/1215000$ |
$0.94148$ |
$2.76975$ |
$[1, 0, 1, -129, -1748]$ |
\(y^2+xy+y=x^3-129x-1748\) |
24.2.0.b.1 |
$[(26, 99)]$ |
| 28830.n1 |
28830n2 |
28830.n |
28830n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{2} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$0.211808362$ |
$1$ |
|
$14$ |
$71680$ |
$1.231110$ |
$1710348447079/478296900$ |
$0.99669$ |
$3.74613$ |
$[1, 0, 1, -7724, 187166]$ |
\(y^2+xy+y=x^3-7724x+187166\) |
2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 1860.12.0.? |
$[(3, 403)]$ |
| 28830.n2 |
28830n1 |
28830.n |
28830n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$0.423616725$ |
$1$ |
|
$11$ |
$35840$ |
$0.884537$ |
$1330637032999/174960$ |
$0.98361$ |
$3.72169$ |
$[1, 0, 1, -7104, 229822]$ |
\(y^2+xy+y=x^3-7104x+229822\) |
2.3.0.a.1, 60.6.0.e.1, 124.6.0.?, 930.6.0.?, 1860.12.0.? |
$[(53, 27)]$ |
| 28830.o1 |
28830l2 |
28830.o |
28830l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{6} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$24$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$535680$ |
$2.128304$ |
$-9704452009/375000$ |
$0.92664$ |
$4.92079$ |
$[1, 0, 1, -421419, -108791474]$ |
\(y^2+xy+y=x^3-421419x-108791474\) |
3.8.0-3.a.1.1, 24.16.0-24.d.1.7 |
$[ ]$ |
| 28830.o2 |
28830l1 |
28830.o |
28830l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2 \cdot 3^{3} \cdot 5^{2} \cdot 31^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$24$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$178560$ |
$1.578999$ |
$2136551/1350$ |
$0.88104$ |
$4.09445$ |
$[1, 0, 1, 25446, -471398]$ |
\(y^2+xy+y=x^3+25446x-471398\) |
3.8.0-3.a.1.2, 24.16.0-24.d.1.8 |
$[ ]$ |
| 28830.p1 |
28830m4 |
28830.p |
28830m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 5 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$7.646390557$ |
$1$ |
|
$0$ |
$1105920$ |
$2.528721$ |
$32208729120020809/658986840$ |
$1.11077$ |
$5.70785$ |
$[1, 0, 1, -6370009, -6188532988]$ |
\(y^2+xy+y=x^3-6370009x-6188532988\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(33355/2, 5738539/2)]$ |
| 28830.p2 |
28830m2 |
28830.p |
28830m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3720$ |
$48$ |
$0$ |
$3.823195278$ |
$1$ |
|
$4$ |
$552960$ |
$2.182148$ |
$8702409880009/1120910400$ |
$0.94472$ |
$4.90775$ |
$[1, 0, 1, -411809, -89719468]$ |
\(y^2+xy+y=x^3-411809x-89719468\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.a.1, 120.24.0.?, 248.12.0.?, $\ldots$ |
$[(891, 15394)]$ |
| 28830.p3 |
28830m1 |
28830.p |
28830m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 31^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1.911597639$ |
$1$ |
|
$3$ |
$276480$ |
$1.835573$ |
$141339344329/17141760$ |
$0.91326$ |
$4.50653$ |
$[1, 0, 1, -104289, 11516116]$ |
\(y^2+xy+y=x^3-104289x+11516116\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(8171, 733962)]$ |
| 28830.p4 |
28830m3 |
28830.p |
28830m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 31^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$7.646390557$ |
$1$ |
|
$0$ |
$1105920$ |
$2.528721$ |
$30579142915511/124675335000$ |
$0.98193$ |
$5.20534$ |
$[1, 0, 1, 626071, -468753244]$ |
\(y^2+xy+y=x^3+626071x-468753244\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[(11373/4, 1149547/4)]$ |
| 28830.q1 |
28830o1 |
28830.q |
28830o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.915378561$ |
$1$ |
|
$0$ |
$51840$ |
$1.128851$ |
$8596156121591/5400000000$ |
$1.01997$ |
$3.56896$ |
$[1, 0, 1, 4211, 31112]$ |
\(y^2+xy+y=x^3+4211x+31112\) |
24.2.0.b.1 |
$[(139/2, 3607/2)]$ |
| 28830.r1 |
28830p1 |
28830.r |
28830p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{7} \cdot 31^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$19.93219752$ |
$1$ |
|
$0$ |
$833280$ |
$2.466171$ |
$1911240521/1875000$ |
$0.96277$ |
$5.09066$ |
$[1, 0, 1, 770221, 217002902]$ |
\(y^2+xy+y=x^3+770221x+217002902\) |
3720.2.0.? |
$[(59719054634/5639, 16156190831223555/5639)]$ |
| 28830.s1 |
28830u2 |
28830.s |
28830u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.597139$ |
$11867954041/778410$ |
$0.88858$ |
$4.26529$ |
$[1, 0, 1, -45668, -3540832]$ |
\(y^2+xy+y=x^3-45668x-3540832\) |
2.3.0.a.1, 40.6.0.b.1, 124.6.0.?, 1240.12.0.? |
$[ ]$ |
| 28830.s2 |
28830u1 |
28830.s |
28830u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.250566$ |
$1685159/27900$ |
$0.86543$ |
$3.72566$ |
$[1, 0, 1, 2382, -234992]$ |
\(y^2+xy+y=x^3+2382x-234992\) |
2.3.0.a.1, 40.6.0.c.1, 62.6.0.b.1, 1240.12.0.? |
$[ ]$ |
| 28830.t1 |
28830s2 |
28830.t |
28830s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{14} \cdot 31^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$3.271385$ |
$5805223604235668521/435937500000000$ |
$1.01018$ |
$6.21367$ |
$[1, 0, 1, -35982263, -77502645862]$ |
\(y^2+xy+y=x^3-35982263x-77502645862\) |
2.3.0.a.1, 60.6.0.c.1, 124.6.0.?, 1860.12.0.? |
$[ ]$ |
| 28830.t2 |
28830s1 |
28830.t |
28830s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{16} \cdot 3 \cdot 5^{7} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1860$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2580480$ |
$2.924812$ |
$1238798620042199/14760960000000$ |
$1.01326$ |
$5.68029$ |
$[1, 0, 1, 2150217, -5371246694]$ |
\(y^2+xy+y=x^3+2150217x-5371246694\) |
2.3.0.a.1, 30.6.0.a.1, 124.6.0.?, 1860.12.0.? |
$[ ]$ |
| 28830.u1 |
28830t1 |
28830.u |
28830t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 5 \cdot 31^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.918591$ |
$102437538839/77137920$ |
$0.93617$ |
$4.47518$ |
$[1, 0, 1, 93677, -6049042]$ |
\(y^2+xy+y=x^3+93677x-6049042\) |
3720.2.0.? |
$[ ]$ |
| 28830.v1 |
28830ba2 |
28830.v |
28830ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{4} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$3720$ |
$48$ |
$1$ |
$1.170738894$ |
$1$ |
|
$4$ |
$24576$ |
$0.575017$ |
$510082399/202500$ |
$0.94365$ |
$2.95565$ |
$[1, 1, 1, -516, 2313]$ |
\(y^2+xy+y=x^3+x^2-516x+2313\) |
2.3.0.a.1, 4.12.0.f.1, 120.24.0.?, 124.24.0.?, 3720.48.1.? |
$[(-3, 63)]$ |
| 28830.v2 |
28830ba1 |
28830.v |
28830ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$3720$ |
$48$ |
$1$ |
$0.585369447$ |
$1$ |
|
$7$ |
$12288$ |
$0.228443$ |
$4173281/3600$ |
$0.89567$ |
$2.48766$ |
$[1, 1, 1, 104, 329]$ |
\(y^2+xy+y=x^3+x^2+104x+329\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 60.12.0.bn.1, 62.6.0.b.1, $\ldots$ |
$[(-1, 15)]$ |
| 28830.w1 |
28830v2 |
28830.w |
28830v |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{14} \cdot 31^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$5208$ |
$96$ |
$2$ |
$6.038229768$ |
$1$ |
|
$8$ |
$987840$ |
$2.516315$ |
$-1783499616719809/106787109375000$ |
$1.10050$ |
$5.20998$ |
$[1, 1, 1, -246036, -480200211]$ |
\(y^2+xy+y=x^3+x^2-246036x-480200211\) |
7.16.0-7.a.1.1, 24.2.0.b.1, 168.32.0.?, 217.48.0.?, 5208.96.2.? |
$[(18039, 2412855), (175741/12, 54647815/12)]$ |
| 28830.w2 |
28830v1 |
28830.w |
28830v |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{21} \cdot 3 \cdot 5^{2} \cdot 31^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.1 |
7B.2.1 |
$5208$ |
$96$ |
$2$ |
$0.123229178$ |
$1$ |
|
$24$ |
$141120$ |
$1.543362$ |
$-18685115827009/157286400$ |
$1.01847$ |
$4.31477$ |
$[1, 1, 1, -53836, 4820333]$ |
\(y^2+xy+y=x^3+x^2-53836x+4820333\) |
7.16.0-7.a.1.2, 24.2.0.b.1, 168.32.0.?, 217.48.0.?, 5208.96.2.? |
$[(121, 249), (469/3, 38963/3)]$ |
| 28830.x1 |
28830w1 |
28830.x |
28830w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 5^{2} \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2410560$ |
$2.676975$ |
$-7821800952529/251942400$ |
$1.07666$ |
$5.57143$ |
$[1, 1, 1, -3921861, -3073118517]$ |
\(y^2+xy+y=x^3+x^2-3921861x-3073118517\) |
24.2.0.b.1 |
$[ ]$ |
| 28830.y1 |
28830y2 |
28830.y |
28830y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( 2^{6} \cdot 3^{16} \cdot 5^{4} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.204 |
2B |
$248$ |
$96$ |
$1$ |
$5.649442785$ |
$1$ |
|
$2$ |
$983040$ |
$2.470795$ |
$1071679233972039583519/1721868840000$ |
$1.06493$ |
$5.71862$ |
$[1, 1, 1, -6609096, -6542495607]$ |
\(y^2+xy+y=x^3+x^2-6609096x-6542495607\) |
2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.2, 124.24.0.?, 248.96.1.? |
$[(39523, 7820633)]$ |
| 28830.y2 |
28830y1 |
28830.y |
28830y |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 31^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{8} \cdot 31^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.203 |
2B |
$248$ |
$96$ |
$1$ |
$2.824721392$ |
$1$ |
|
$5$ |
$491520$ |
$2.124222$ |
$-254164210474783519/10497600000000$ |
$1.04139$ |
$4.91253$ |
$[1, 1, 1, -409096, -104415607]$ |
\(y^2+xy+y=x^3+x^2-409096x-104415607\) |
2.3.0.a.1, 4.12.0.f.1, 8.48.0.q.1, 62.6.0.b.1, 124.24.0.?, $\ldots$ |
$[(773, 6093)]$ |