| 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 |
| 4719.h1 |
4719l1 |
4719.h |
4719l |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( - 3^{3} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5280$ |
$1.110514$ |
$-360448000/4563$ |
$0.96400$ |
$4.59937$ |
$[0, 1, 1, -8873, 322262]$ |
\(y^2+y=x^3+x^2-8873x+322262\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[]$ |
| 4719.i1 |
4719i1 |
4719.i |
4719i |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( - 3^{3} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$0.775615233$ |
$1$ |
|
$4$ |
$480$ |
$-0.088433$ |
$-360448000/4563$ |
$0.96400$ |
$2.89860$ |
$[0, 1, 1, -73, -269]$ |
\(y^2+y=x^3+x^2-73x-269\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.2, 66.16.0-6.b.1.2 |
$[(11, 19)]$ |
| 14157.m1 |
14157p1 |
14157.m |
14157p |
$2$ |
$3$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$42240$ |
$1.659821$ |
$-360448000/4563$ |
$0.96400$ |
$4.76036$ |
$[0, 0, 1, -79860, -8780940]$ |
\(y^2+y=x^3-79860x-8780940\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[]$ |
| 14157.n1 |
14157g1 |
14157.n |
14157g |
$2$ |
$3$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$66$ |
$16$ |
$0$ |
$0.591030675$ |
$1$ |
|
$4$ |
$3840$ |
$0.460873$ |
$-360448000/4563$ |
$0.96400$ |
$3.25508$ |
$[0, 0, 1, -660, 6597]$ |
\(y^2+y=x^3-660x+6597\) |
3.4.0.a.1, 6.8.0.b.1, 33.8.0-3.a.1.1, 66.16.0-6.b.1.1 |
$[(5, 58)]$ |
| 61347.s1 |
61347w1 |
61347.s |
61347w |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$1.997658793$ |
$1$ |
|
$2$ |
$80640$ |
$1.194042$ |
$-360448000/4563$ |
$0.96400$ |
$3.62018$ |
$[0, 1, 1, -12393, -540952]$ |
\(y^2+y=x^3+x^2-12393x-540952\) |
3.4.0.a.1, 6.8.0.b.1, 429.8.0.?, 858.16.0.? |
$[(654, 16477)]$ |
| 61347.t1 |
61347v1 |
61347.t |
61347v |
$2$ |
$3$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$78$ |
$16$ |
$0$ |
$2.416001092$ |
$1$ |
|
$2$ |
$887040$ |
$2.392990$ |
$-360448000/4563$ |
$0.96400$ |
$4.92524$ |
$[0, 1, 1, -1499593, 714008455]$ |
\(y^2+y=x^3+x^2-1499593x+714008455\) |
3.4.0.a.1, 6.8.0.b.1, 39.8.0-3.a.1.1, 78.16.0.? |
$[(745, 3295)]$ |
| 75504.r1 |
75504be1 |
75504.r |
75504be |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.366342405$ |
$1$ |
|
$2$ |
$34560$ |
$0.604714$ |
$-360448000/4563$ |
$0.96400$ |
$2.92363$ |
$[0, -1, 0, -1173, 16029]$ |
\(y^2=x^3-x^2-1173x+16029\) |
3.4.0.a.1, 6.8.0.b.1, 132.16.0.? |
$[(20, 13)]$ |
| 75504.y1 |
75504bs1 |
75504.y |
75504bs |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$380160$ |
$1.803661$ |
$-360448000/4563$ |
$0.96400$ |
$4.20457$ |
$[0, -1, 0, -141973, -20766755]$ |
\(y^2=x^3-x^2-141973x-20766755\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.1 |
$[]$ |
| 117975.z1 |
117975m1 |
117975.z |
117975m |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{3} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$2.727153844$ |
$1$ |
|
$2$ |
$69120$ |
$0.716286$ |
$-360448000/4563$ |
$0.96400$ |
$2.92655$ |
$[0, -1, 1, -1833, -29932]$ |
\(y^2+y=x^3-x^2-1833x-29932\) |
3.4.0.a.1, 6.8.0.b.1, 165.8.0.?, 330.16.0.? |
$[(52, 112)]$ |
| 117975.bc1 |
117975f1 |
117975.bc |
117975f |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{3} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1.797257798$ |
$1$ |
|
$8$ |
$760320$ |
$1.915234$ |
$-360448000/4563$ |
$0.96400$ |
$4.15853$ |
$[0, -1, 1, -221833, 40726443]$ |
\(y^2+y=x^3-x^2-221833x+40726443\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[(807, 19662), (1213/3, 98299/3)]$ |
| 184041.y1 |
184041s1 |
184041.y |
184041s |
$2$ |
$3$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$858$ |
$16$ |
$0$ |
$1.342606413$ |
$1$ |
|
$4$ |
$645120$ |
$1.743347$ |
$-360448000/4563$ |
$0.96400$ |
$3.83585$ |
$[0, 0, 1, -111540, 14494158]$ |
\(y^2+y=x^3-111540x+14494158\) |
3.4.0.a.1, 6.8.0.b.1, 429.8.0.?, 858.16.0.? |
$[(234, 1098)]$ |
| 184041.z1 |
184041t1 |
184041.z |
184041t |
$2$ |
$3$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$78$ |
$16$ |
$0$ |
$4.776288711$ |
$1$ |
|
$0$ |
$7096320$ |
$2.942295$ |
$-360448000/4563$ |
$0.96400$ |
$5.02264$ |
$[0, 0, 1, -13496340, -19291724631]$ |
\(y^2+y=x^3-13496340x-19291724631\) |
3.4.0.a.1, 6.8.0.b.1, 39.8.0-3.a.1.2, 78.16.0.? |
$[(272129/8, 7177343/8)]$ |
| 226512.cy1 |
226512bk1 |
226512.cy |
226512bk |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.154020$ |
$-360448000/4563$ |
$0.96400$ |
$3.19773$ |
$[0, 0, 0, -10560, -422224]$ |
\(y^2=x^3-10560x-422224\) |
3.4.0.a.1, 6.8.0.b.1, 132.16.0.? |
$[]$ |
| 226512.dm1 |
226512bq1 |
226512.dm |
226512bq |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12$ |
$16$ |
$0$ |
$1.315936190$ |
$1$ |
|
$0$ |
$3041280$ |
$2.352966$ |
$-360448000/4563$ |
$0.96400$ |
$4.36453$ |
$[0, 0, 0, -1277760, 561980144]$ |
\(y^2=x^3-1277760x+561980144\) |
3.4.0.a.1, 6.8.0.b.1, 12.16.0-6.b.1.2 |
$[(3025/2, 42471/2)]$ |
| 231231.z1 |
231231z1 |
231231.z |
231231z |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{3} \cdot 7^{6} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$42$ |
$16$ |
$0$ |
$7.849719198$ |
$1$ |
|
$0$ |
$1995840$ |
$2.083469$ |
$-360448000/4563$ |
$0.96400$ |
$4.09541$ |
$[0, -1, 1, -434793, -111405526]$ |
\(y^2+y=x^3-x^2-434793x-111405526\) |
3.4.0.a.1, 6.8.0.b.1, 21.8.0-3.a.1.1, 42.16.0-6.b.1.1 |
$[(151517/14, 10212117/14)]$ |
| 231231.ba1 |
231231ba1 |
231231.ba |
231231ba |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{3} \cdot 7^{6} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$462$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$181440$ |
$0.884522$ |
$-360448000/4563$ |
$0.96400$ |
$2.93055$ |
$[0, -1, 1, -3593, 85007]$ |
\(y^2+y=x^3-x^2-3593x+85007\) |
3.4.0.a.1, 6.8.0.b.1, 231.8.0.?, 462.16.0.? |
$[]$ |
| 302016.bt1 |
302016bt1 |
302016.bt |
302016bt |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$760320$ |
$1.457088$ |
$-360448000/4563$ |
$0.96400$ |
$3.41304$ |
$[0, -1, 0, -35493, 2613591]$ |
\(y^2=x^3-x^2-35493x+2613591\) |
3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.3 |
$[]$ |
| 302016.cf1 |
302016cf1 |
302016.cf |
302016cf |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$4.794188260$ |
$1$ |
|
$2$ |
$69120$ |
$0.258141$ |
$-360448000/4563$ |
$0.96400$ |
$2.27284$ |
$[0, -1, 0, -293, -1857]$ |
\(y^2=x^3-x^2-293x-1857\) |
3.4.0.a.1, 6.8.0.b.1, 264.16.0.? |
$[(426, 8775)]$ |
| 302016.fp1 |
302016fp1 |
302016.fp |
302016fp |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$0.654392186$ |
$1$ |
|
$2$ |
$69120$ |
$0.258141$ |
$-360448000/4563$ |
$0.96400$ |
$2.27284$ |
$[0, 1, 0, -293, 1857]$ |
\(y^2=x^3+x^2-293x+1857\) |
3.4.0.a.1, 6.8.0.b.1, 264.16.0.? |
$[(16, 39)]$ |
| 302016.gh1 |
302016gh1 |
302016.gh |
302016gh |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$760320$ |
$1.457088$ |
$-360448000/4563$ |
$0.96400$ |
$3.41304$ |
$[0, 1, 0, -35493, -2613591]$ |
\(y^2=x^3+x^2-35493x-2613591\) |
3.4.0.a.1, 6.8.0.b.1, 24.16.0-6.b.1.2 |
$[]$ |
| 353925.bv1 |
353925bv1 |
353925.bv |
353925bv |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$330$ |
$16$ |
$0$ |
$1.029317825$ |
$1$ |
|
$12$ |
$552960$ |
$1.265593$ |
$-360448000/4563$ |
$0.96400$ |
$3.19082$ |
$[0, 0, 1, -16500, 824656]$ |
\(y^2+y=x^3-16500x+824656\) |
3.4.0.a.1, 6.8.0.b.1, 165.8.0.?, 330.16.0.? |
$[(64, 175), (70, 112)]$ |
| 353925.ci1 |
353925ci1 |
353925.ci |
353925ci |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$6.562667383$ |
$1$ |
|
$2$ |
$6082560$ |
$2.464539$ |
$-360448000/4563$ |
$0.96400$ |
$4.31687$ |
$[0, 0, 1, -1996500, -1097617469]$ |
\(y^2+y=x^3-1996500x-1097617469\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[(9805, 960187)]$ |
