| 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 |
| 30400.a1 |
30400bl1 |
30400.a |
30400bl |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{15} \cdot 5^{6} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.938514891$ |
$1$ |
|
$14$ |
$27648$ |
$0.605014$ |
$27000/19$ |
$0.79171$ |
$2.93130$ |
$[0, 0, 0, 500, -2000]$ |
\(y^2=x^3+500x-2000\) |
152.2.0.? |
$[(30, 200), (5, 25)]$ |
| 30400.b1 |
30400bm1 |
30400.b |
30400bm |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{17} \cdot 5^{8} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.473150$ |
$-16241202/171475$ |
$0.93308$ |
$3.97206$ |
$[0, 0, 0, -6700, -926000]$ |
\(y^2=x^3-6700x-926000\) |
152.2.0.? |
$[]$ |
| 30400.c1 |
30400h1 |
30400.c |
30400h |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{29} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.268930078$ |
$1$ |
|
$4$ |
$405504$ |
$1.739662$ |
$-11993263569/972800$ |
$0.93850$ |
$4.40527$ |
$[0, 0, 0, -76300, 8662000]$ |
\(y^2=x^3-76300x+8662000\) |
152.2.0.? |
$[(126, 1024)]$ |
| 30400.d1 |
30400q2 |
30400.d |
30400q |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 5^{13} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$2.773838$ |
$31248575021659890256/28203125$ |
$1.01626$ |
$6.22437$ |
$[0, 1, 0, -41666033, -103533193937]$ |
\(y^2=x^3+x^2-41666033x-103533193937\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 30400.d2 |
30400q1 |
30400.d |
30400q |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 5^{20} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$860160$ |
$2.427265$ |
$-121981271658244096/115966796875$ |
$1.08046$ |
$5.41865$ |
$[0, 1, 0, -2603533, -1619131437]$ |
\(y^2=x^3+x^2-2603533x-1619131437\) |
2.3.0.a.1, 20.6.0.c.1, 38.6.0.b.1, 380.12.0.? |
$[]$ |
| 30400.e1 |
30400v2 |
30400.e |
30400v |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 5^{3} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.894259799$ |
$1$ |
|
$15$ |
$9216$ |
$0.280838$ |
$778688/361$ |
$0.79186$ |
$2.58777$ |
$[0, 1, 0, -153, -377]$ |
\(y^2=x^3+x^2-153x-377\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(-7, 20), (-3, 8)]$ |
| 30400.e2 |
30400v1 |
30400.e |
30400v |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{6} \cdot 5^{3} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$7.577039196$ |
$1$ |
|
$5$ |
$4608$ |
$-0.065736$ |
$29218112/19$ |
$0.82967$ |
$2.53604$ |
$[0, 1, 0, -128, -602]$ |
\(y^2=x^3+x^2-128x-602\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(13, 10), (73, 620)]$ |
| 30400.f1 |
30400z2 |
30400.f |
30400z |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.926739910$ |
$1$ |
|
$5$ |
$46080$ |
$1.085556$ |
$778688/361$ |
$0.79186$ |
$3.52329$ |
$[0, 1, 0, -3833, 39463]$ |
\(y^2=x^3+x^2-3833x+39463\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(9, 76)]$ |
| 30400.f2 |
30400z1 |
30400.f |
30400z |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{6} \cdot 5^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$3.853479820$ |
$1$ |
|
$3$ |
$23040$ |
$0.738983$ |
$29218112/19$ |
$0.82967$ |
$3.47156$ |
$[0, 1, 0, -3208, 68838]$ |
\(y^2=x^3+x^2-3208x+68838\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(533, 12250)]$ |
| 30400.g1 |
30400bj1 |
30400.g |
30400bj |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$0.710361$ |
$-4194304/19$ |
$1.07903$ |
$3.35372$ |
$[0, 1, 0, -2133, 37363]$ |
\(y^2=x^3+x^2-2133x+37363\) |
38.2.0.a.1 |
$[]$ |
| 30400.h1 |
30400y2 |
30400.h |
30400y |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 5^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$760$ |
$48$ |
$1$ |
$0.815694187$ |
$1$ |
|
$7$ |
$57344$ |
$1.123669$ |
$3084800518928/361$ |
$0.95550$ |
$4.19386$ |
$[0, 1, 0, -38513, 2896303]$ |
\(y^2=x^3+x^2-38513x+2896303\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.12.0.i.1, 40.24.0-20.i.1.1, $\ldots$ |
$[(114, 19)]$ |
| 30400.h2 |
30400y1 |
30400.h |
30400y |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 5^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$760$ |
$48$ |
$1$ |
$0.407847093$ |
$1$ |
|
$9$ |
$28672$ |
$0.777095$ |
$12144109568/130321$ |
$0.94080$ |
$3.38880$ |
$[0, 1, 0, -2413, 44403]$ |
\(y^2=x^3+x^2-2413x+44403\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.12.0.i.1, 40.24.0-20.i.1.2, $\ldots$ |
$[(19, 76)]$ |
| 30400.i1 |
30400bz2 |
30400.i |
30400bz |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$760$ |
$48$ |
$1$ |
$12.12896334$ |
$1$ |
|
$1$ |
$286720$ |
$1.928387$ |
$3084800518928/361$ |
$0.95550$ |
$5.12938$ |
$[0, 1, 0, -962833, -363963537]$ |
\(y^2=x^3+x^2-962833x-363963537\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.12.0.i.1, 40.24.0-20.i.1.2, $\ldots$ |
$[(-4693646/91, 4226321/91)]$ |
| 30400.i2 |
30400bz1 |
30400.i |
30400bz |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 5^{9} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$760$ |
$48$ |
$1$ |
$6.064481671$ |
$1$ |
|
$1$ |
$143360$ |
$1.581814$ |
$12144109568/130321$ |
$0.94080$ |
$4.32432$ |
$[0, 1, 0, -60333, -5671037]$ |
\(y^2=x^3+x^2-60333x-5671037\) |
2.3.0.a.1, 4.6.0.d.1, 10.6.0.a.1, 20.12.0.i.1, 40.24.0-20.i.1.1, $\ldots$ |
$[(-7258/7, 66625/7)]$ |
| 30400.j1 |
30400f1 |
30400.j |
30400f |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.516158279$ |
$1$ |
|
$5$ |
$36864$ |
$1.000072$ |
$304900096/45125$ |
$0.86112$ |
$3.49960$ |
$[0, 1, 0, -3533, 68563]$ |
\(y^2=x^3+x^2-3533x+68563\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(-2, 275)]$ |
| 30400.j2 |
30400f2 |
30400.j |
30400f |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 5^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$5.032316558$ |
$1$ |
|
$3$ |
$73728$ |
$1.346647$ |
$91765424/296875$ |
$0.86089$ |
$3.79952$ |
$[0, 1, 0, 5967, 382063]$ |
\(y^2=x^3+x^2+5967x+382063\) |
2.3.0.a.1, 20.6.0.c.1, 38.6.0.b.1, 380.12.0.? |
$[(74, 1111)]$ |
| 30400.k1 |
30400g3 |
30400.k |
30400g |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$20520$ |
$1296$ |
$43$ |
$21.32512539$ |
$1$ |
|
$0$ |
$46656$ |
$1.184732$ |
$-50357871050752/19$ |
$1.10495$ |
$4.39496$ |
$[0, 1, 0, -76933, -8238987]$ |
\(y^2=x^3+x^2-76933x-8238987\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$ |
$[(1612916604/1151, 62948455845531/1151)]$ |
| 30400.k2 |
30400g2 |
30400.k |
30400g |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$20520$ |
$1296$ |
$43$ |
$7.108375130$ |
$1$ |
|
$2$ |
$15552$ |
$0.635426$ |
$-89915392/6859$ |
$1.03310$ |
$3.12469$ |
$[0, 1, 0, -933, -11987]$ |
\(y^2=x^3+x^2-933x-11987\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 114.24.1.?, 120.24.0.?, $\ldots$ |
$[(1204, 41781)]$ |
| 30400.k3 |
30400g1 |
30400.k |
30400g |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$20520$ |
$1296$ |
$43$ |
$2.369458376$ |
$1$ |
|
$2$ |
$5184$ |
$0.086119$ |
$32768/19$ |
$1.31757$ |
$2.34569$ |
$[0, 1, 0, 67, 13]$ |
\(y^2=x^3+x^2+67x+13\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 114.8.0.?, $\ldots$ |
$[(4, 19)]$ |
| 30400.l1 |
30400bi1 |
30400.l |
30400bi |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 5^{11} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.779667$ |
$5405726654464/407253125$ |
$0.99078$ |
$4.44736$ |
$[0, 1, 0, -92133, -10069637]$ |
\(y^2=x^3+x^2-92133x-10069637\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.24.0.e.1, 152.12.0.?, $\ldots$ |
$[]$ |
| 30400.l2 |
30400bi2 |
30400.l |
30400bi |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 5^{16} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.126240$ |
$298091207216/3525390625$ |
$0.96838$ |
$4.72269$ |
$[0, 1, 0, 88367, -44545137]$ |
\(y^2=x^3+x^2+88367x-44545137\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.bc.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 30400.m1 |
30400p1 |
30400.m |
30400p |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{14} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17920$ |
$0.539813$ |
$-1024/19$ |
$0.79665$ |
$2.88607$ |
$[0, 1, 0, -133, 3363]$ |
\(y^2=x^3+x^2-133x+3363\) |
38.2.0.a.1 |
$[]$ |
| 30400.n1 |
30400bk2 |
30400.n |
30400bk |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 5^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.931209$ |
$3631696/1805$ |
$0.78833$ |
$3.33901$ |
$[0, 1, 0, -2033, -13937]$ |
\(y^2=x^3+x^2-2033x-13937\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 30400.n2 |
30400bk1 |
30400.n |
30400bk |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.584636$ |
$702464/475$ |
$0.78481$ |
$2.91125$ |
$[0, 1, 0, 467, -1437]$ |
\(y^2=x^3+x^2+467x-1437\) |
2.3.0.a.1, 20.6.0.c.1, 38.6.0.b.1, 380.12.0.? |
$[]$ |
| 30400.o1 |
30400l2 |
30400.o |
30400l |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{19} \cdot 5^{6} \cdot 19^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$760$ |
$48$ |
$1$ |
$1.241614723$ |
$1$ |
|
$14$ |
$153600$ |
$1.862225$ |
$-37966934881/4952198$ |
$0.97714$ |
$4.52389$ |
$[0, -1, 0, -112033, -15940063]$ |
\(y^2=x^3-x^2-112033x-15940063\) |
5.12.0.a.2, 40.24.0-5.a.2.4, 152.2.0.?, 190.24.0.?, 760.48.1.? |
$[(601, 11552), (1817, 76000)]$ |
| 30400.o2 |
30400l1 |
30400.o |
30400l |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{23} \cdot 5^{6} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1.241614723$ |
$1$ |
|
$12$ |
$30720$ |
$1.057505$ |
$-1/608$ |
$1.37833$ |
$3.48745$ |
$[0, -1, 0, -33, 75937]$ |
\(y^2=x^3-x^2-33x+75937\) |
5.12.0.a.1, 40.24.0-5.a.1.4, 152.2.0.?, 190.24.0.?, 760.48.1.? |
$[(217, 3200), (-39, 128)]$ |
| 30400.p1 |
30400bt1 |
30400.p |
30400bt |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{15} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.563340128$ |
$1$ |
|
$4$ |
$30720$ |
$0.958993$ |
$-14172488/475$ |
$1.16911$ |
$3.54352$ |
$[0, -1, 0, -4033, -100063]$ |
\(y^2=x^3-x^2-4033x-100063\) |
152.2.0.? |
$[(77, 200)]$ |
| 30400.q1 |
30400br3 |
30400.q |
30400br |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{45} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$20520$ |
$1296$ |
$43$ |
$4.519235595$ |
$1$ |
|
$2$ |
$497664$ |
$2.329609$ |
$-69173457625/2550136832$ |
$1.05462$ |
$4.96629$ |
$[0, -1, 0, -136833, 156757537]$ |
\(y^2=x^3-x^2-136833x+156757537\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 120.8.0.?, 152.2.0.?, $\ldots$ |
$[(-293, 13100)]$ |
| 30400.q2 |
30400br1 |
30400.q |
30400br |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{21} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$20520$ |
$1296$ |
$43$ |
$4.519235595$ |
$1$ |
|
$2$ |
$55296$ |
$1.230997$ |
$-413493625/152$ |
$0.93281$ |
$4.06639$ |
$[0, -1, 0, -24833, -1498463]$ |
\(y^2=x^3-x^2-24833x-1498463\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 120.8.0.?, 152.2.0.?, $\ldots$ |
$[(827, 23300)]$ |
| 30400.q3 |
30400br2 |
30400.q |
30400br |
$3$ |
$9$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{27} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$20520$ |
$1296$ |
$43$ |
$1.506411865$ |
$1$ |
|
$2$ |
$165888$ |
$1.780304$ |
$94196375/3511808$ |
$1.01875$ |
$4.32505$ |
$[0, -1, 0, 15167, -5730463]$ |
\(y^2=x^3-x^2+15167x-5730463\) |
3.12.0.a.1, 9.36.0.b.1, 120.24.0.?, 152.2.0.?, 171.108.4.?, $\ldots$ |
$[(187, 1900)]$ |
| 30400.r1 |
30400bq2 |
30400.r |
30400bq |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{19} \cdot 5^{8} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$0.441376099$ |
$1$ |
|
$4$ |
$331776$ |
$2.315578$ |
$-2376117230685121/342950$ |
$0.98759$ |
$5.57415$ |
$[0, -1, 0, -4448033, 3612255937]$ |
\(y^2=x^3-x^2-4448033x+3612255937\) |
3.4.0.a.1, 120.8.0.?, 152.2.0.?, 456.8.0.?, 1140.8.0.?, $\ldots$ |
$[(957, 15200)]$ |
| 30400.r2 |
30400bq1 |
30400.r |
30400bq |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{21} \cdot 5^{12} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1.324128297$ |
$1$ |
|
$4$ |
$110592$ |
$1.766272$ |
$-2992209121/2375000$ |
$0.90876$ |
$4.34172$ |
$[0, -1, 0, -48033, 6255937]$ |
\(y^2=x^3-x^2-48033x+6255937\) |
3.4.0.a.1, 120.8.0.?, 152.2.0.?, 456.8.0.?, 1140.8.0.?, $\ldots$ |
$[(157, 1600)]$ |
| 30400.s1 |
30400k1 |
30400.s |
30400k |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{19} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$1.099476$ |
$357911/950$ |
$0.81125$ |
$3.50686$ |
$[0, -1, 0, 2367, 83137]$ |
\(y^2=x^3-x^2+2367x+83137\) |
152.2.0.? |
$[]$ |
| 30400.t1 |
30400bs1 |
30400.t |
30400bs |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{17} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.276515343$ |
$1$ |
|
$2$ |
$18432$ |
$0.734115$ |
$-31250/19$ |
$0.89957$ |
$3.14933$ |
$[0, -1, 0, -833, 13537]$ |
\(y^2=x^3-x^2-833x+13537\) |
152.2.0.? |
$[(27, 100)]$ |
| 30400.u1 |
30400bp1 |
30400.u |
30400bp |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$380$ |
$60$ |
$3$ |
$0.835131324$ |
$1$ |
|
$2$ |
$51840$ |
$1.057238$ |
$-4741632/2476099$ |
$1.30327$ |
$3.48700$ |
$[0, 0, 0, -350, 75750]$ |
\(y^2=x^3-350x+75750\) |
5.15.0.a.1, 20.30.0.a.1, 38.2.0.a.1, 190.30.2.?, 380.60.3.? |
$[(41, 361)]$ |
| 30400.v1 |
30400bo2 |
30400.v |
30400bo |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.673430178$ |
$1$ |
|
$7$ |
$36864$ |
$1.046133$ |
$472058064/475$ |
$0.91565$ |
$3.81055$ |
$[0, 0, 0, -10300, 402000]$ |
\(y^2=x^3-10300x+402000\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(80, 300)]$ |
| 30400.v2 |
30400bo1 |
30400.v |
30400bo |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 5^{7} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$0.836715089$ |
$1$ |
|
$5$ |
$18432$ |
$0.699558$ |
$3538944/1805$ |
$1.20155$ |
$3.06790$ |
$[0, 0, 0, -800, 3000]$ |
\(y^2=x^3-800x+3000\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(65, 475)]$ |
| 30400.w1 |
30400cb2 |
30400.w |
30400cb |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.713062$ |
$13312053/361$ |
$0.88614$ |
$3.26569$ |
$[0, 0, 0, -1580, -23600]$ |
\(y^2=x^3-1580x-23600\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 30400.w2 |
30400cb1 |
30400.w |
30400cb |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 5^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.366489$ |
$27/19$ |
$1.11940$ |
$2.68386$ |
$[0, 0, 0, 20, -1200]$ |
\(y^2=x^3+20x-1200\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[]$ |
| 30400.x1 |
30400bn2 |
30400.x |
30400bn |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 5^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$2.667723691$ |
$1$ |
|
$3$ |
$55296$ |
$1.237717$ |
$8947094976/45125$ |
$0.95489$ |
$3.96127$ |
$[0, 0, 0, -17300, -872000]$ |
\(y^2=x^3-17300x-872000\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(165, 875)]$ |
| 30400.x2 |
30400bn1 |
30400.x |
30400bn |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{6} \cdot 5^{12} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$5.335447383$ |
$1$ |
|
$3$ |
$27648$ |
$0.891143$ |
$519718464/296875$ |
$1.19561$ |
$3.28266$ |
$[0, 0, 0, -1675, 3000]$ |
\(y^2=x^3-1675x+3000\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(1020, 32550)]$ |
| 30400.y1 |
30400t2 |
30400.y |
30400t |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 5^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$81920$ |
$1.517782$ |
$13312053/361$ |
$0.88614$ |
$4.20121$ |
$[0, 0, 0, -39500, 2950000]$ |
\(y^2=x^3-39500x+2950000\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[]$ |
| 30400.y2 |
30400t1 |
30400.y |
30400t |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 5^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40960$ |
$1.171207$ |
$27/19$ |
$1.11940$ |
$3.61938$ |
$[0, 0, 0, 500, 150000]$ |
\(y^2=x^3+500x+150000\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[]$ |
| 30400.z1 |
30400j1 |
30400.z |
30400j |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{6} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4480$ |
$0.089151$ |
$-13824/19$ |
$0.69588$ |
$2.37993$ |
$[0, 0, 0, -50, -250]$ |
\(y^2=x^3-50x-250\) |
38.2.0.a.1 |
$[]$ |
| 30400.ba1 |
30400ba4 |
30400.ba |
30400ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{16} \cdot 5^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.536612$ |
$899466517764/95$ |
$0.96248$ |
$4.67653$ |
$[0, 0, 0, -202700, -35126000]$ |
\(y^2=x^3-202700x-35126000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 152.24.0.?, $\ldots$ |
$[]$ |
| 30400.ba2 |
30400ba3 |
30400.ba |
30400ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{16} \cdot 5^{7} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.536612$ |
$1263284964/651605$ |
$0.94894$ |
$4.04022$ |
$[0, 0, 0, -22700, 434000]$ |
\(y^2=x^3-22700x+434000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[]$ |
| 30400.ba3 |
30400ba2 |
30400.ba |
30400ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 5^{8} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.190039$ |
$884901456/9025$ |
$0.92560$ |
$3.87143$ |
$[0, 0, 0, -12700, -546000]$ |
\(y^2=x^3-12700x-546000\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 30400.ba4 |
30400ba1 |
30400.ba |
30400ba |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.843465$ |
$-55296/11875$ |
$1.13186$ |
$3.23843$ |
$[0, 0, 0, -200, -21000]$ |
\(y^2=x^3-200x-21000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 38.6.0.b.1, 40.24.0-40.z.1.9, $\ldots$ |
$[]$ |
| 30400.bb1 |
30400i4 |
30400.bb |
30400i |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{16} \cdot 5^{7} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.536612$ |
$899466517764/95$ |
$0.96248$ |
$4.67653$ |
$[0, 0, 0, -202700, 35126000]$ |
\(y^2=x^3-202700x+35126000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.z.1.11, 152.24.0.?, $\ldots$ |
$[]$ |
| 30400.bb2 |
30400i3 |
30400.bb |
30400i |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( 2^{16} \cdot 5^{7} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.536612$ |
$1263284964/651605$ |
$0.94894$ |
$4.04022$ |
$[0, 0, 0, -22700, -434000]$ |
\(y^2=x^3-22700x-434000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[]$ |
