| 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 |
| 11376.a1 |
11376b1 |
11376.a |
11376b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{4} \cdot 3^{9} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$948$ |
$12$ |
$0$ |
$2.399729361$ |
$1$ |
|
$3$ |
$7104$ |
$0.359090$ |
$121485312/79$ |
$0.84503$ |
$3.34881$ |
$[0, 0, 0, -702, 7155]$ |
\(y^2=x^3-702x+7155\) |
2.3.0.a.1, 12.6.0.c.1, 316.6.0.?, 474.6.0.?, 948.12.0.? |
$[(19, 26)]$ |
| 11376.a2 |
11376b2 |
11376.a |
11376b |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{8} \cdot 3^{9} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$948$ |
$12$ |
$0$ |
$1.199864680$ |
$1$ |
|
$5$ |
$14208$ |
$0.705664$ |
$-4000752/6241$ |
$0.78340$ |
$3.42017$ |
$[0, 0, 0, -567, 9990]$ |
\(y^2=x^3-567x+9990\) |
2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.? |
$[(-3, 108)]$ |
| 11376.b1 |
11376g1 |
11376.b |
11376g |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{20} \cdot 3^{3} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.584704$ |
$-961504803/20224$ |
$1.28431$ |
$3.46208$ |
$[0, 0, 0, -987, -12150]$ |
\(y^2=x^3-987x-12150\) |
948.2.0.? |
$[]$ |
| 11376.c1 |
11376v1 |
11376.c |
11376v |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{8} \cdot 3^{15} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.032146$ |
$-218156637904/1554957$ |
$0.91154$ |
$4.09642$ |
$[0, 0, 0, -7167, 234970]$ |
\(y^2=x^3-7167x+234970\) |
948.2.0.? |
$[]$ |
| 11376.d1 |
11376n3 |
11376.d |
11376n |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{30} \cdot 3^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2844$ |
$144$ |
$3$ |
$12.04513242$ |
$1$ |
|
$0$ |
$86400$ |
$1.922312$ |
$15698803397448457/20709376$ |
$1.00146$ |
$5.58950$ |
$[0, 0, 0, -751179, -250589446]$ |
\(y^2=x^3-751179x-250589446\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.1, 36.24.0-9.a.1.2, 316.2.0.?, $\ldots$ |
$[(-4711681/97, 8145362/97)]$ |
| 11376.d2 |
11376n2 |
11376.d |
11376n |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{18} \cdot 3^{6} \cdot 79^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$2844$ |
$144$ |
$3$ |
$4.015044142$ |
$1$ |
|
$2$ |
$28800$ |
$1.373005$ |
$59914169497/31554496$ |
$0.96798$ |
$4.25361$ |
$[0, 0, 0, -11739, -146806]$ |
\(y^2=x^3-11739x-146806\) |
3.12.0.a.1, 12.24.0-3.a.1.1, 316.2.0.?, 474.24.0.?, 711.36.0.?, $\ldots$ |
$[(-25, 362)]$ |
| 11376.d3 |
11376n1 |
11376.d |
11376n |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{14} \cdot 3^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$2844$ |
$144$ |
$3$ |
$1.338348047$ |
$1$ |
|
$4$ |
$9600$ |
$0.823699$ |
$11134383337/316$ |
$0.90937$ |
$4.07342$ |
$[0, 0, 0, -6699, 211034]$ |
\(y^2=x^3-6699x+211034\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.2, 36.24.0-9.a.1.1, 316.2.0.?, $\ldots$ |
$[(47, 2)]$ |
| 11376.e1 |
11376s2 |
11376.e |
11376s |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{8} \cdot 3^{12} \cdot 79 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$948$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8064$ |
$0.814488$ |
$30285104848/57591$ |
$0.89152$ |
$3.88369$ |
$[0, 0, 0, -3711, -86870]$ |
\(y^2=x^3-3711x-86870\) |
2.3.0.a.1, 12.6.0.c.1, 316.6.0.?, 948.12.0.? |
$[]$ |
| 11376.e2 |
11376s1 |
11376.e |
11376s |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{4} \cdot 3^{9} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$948$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4032$ |
$0.467915$ |
$-35995648/168507$ |
$0.93905$ |
$3.10199$ |
$[0, 0, 0, -156, -2261]$ |
\(y^2=x^3-156x-2261\) |
2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.? |
$[]$ |
| 11376.f1 |
11376t1 |
11376.f |
11376t |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{26} \cdot 3^{9} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.379128$ |
$57646656647/34947072$ |
$0.98172$ |
$4.24948$ |
$[0, 0, 0, 11589, -104726]$ |
\(y^2=x^3+11589x-104726\) |
948.2.0.? |
$[]$ |
| 11376.g1 |
11376q1 |
11376.g |
11376q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{8} \cdot 3^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4320$ |
$0.471995$ |
$2533446736/79$ |
$0.86232$ |
$3.61803$ |
$[0, 0, 0, -1623, -25166]$ |
\(y^2=x^3-1623x-25166\) |
316.2.0.? |
$[]$ |
| 11376.h1 |
11376p2 |
11376.h |
11376p |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{16} \cdot 3^{6} \cdot 79^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$4740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$2.384563$ |
$1413378216646643521/49232902384$ |
$1.01962$ |
$6.07135$ |
$[0, 0, 0, -3366723, -2377640126]$ |
\(y^2=x^3-3366723x-2377640126\) |
5.12.0.a.2, 60.24.0-5.a.2.2, 316.2.0.?, 1580.24.1.?, 2370.24.0.?, $\ldots$ |
$[]$ |
| 11376.h2 |
11376p1 |
11376.h |
11376p |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{32} \cdot 3^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$4740$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.579844$ |
$8194759433281/82837504$ |
$0.96131$ |
$4.78024$ |
$[0, 0, 0, -60483, 5675074]$ |
\(y^2=x^3-60483x+5675074\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 316.2.0.?, 1580.24.1.?, 2370.24.0.?, $\ldots$ |
$[]$ |
| 11376.i1 |
11376k1 |
11376.i |
11376k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{8} \cdot 3^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$2.108278109$ |
$1$ |
|
$2$ |
$2016$ |
$0.066860$ |
$148176/79$ |
$0.72007$ |
$2.57440$ |
$[0, 0, 0, -63, -54]$ |
\(y^2=x^3-63x-54\) |
316.2.0.? |
$[(-2, 8)]$ |
| 11376.j1 |
11376i1 |
11376.j |
11376i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{12} \cdot 3^{9} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$1.588780659$ |
$1$ |
|
$2$ |
$3072$ |
$0.568761$ |
$91125/79$ |
$0.74261$ |
$3.17212$ |
$[0, 0, 0, 405, -2214]$ |
\(y^2=x^3+405x-2214\) |
948.2.0.? |
$[(39, 270)]$ |
| 11376.k1 |
11376h1 |
11376.k |
11376h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{12} \cdot 3^{3} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$0.774578851$ |
$1$ |
|
$4$ |
$1024$ |
$0.019455$ |
$91125/79$ |
$0.74261$ |
$2.46632$ |
$[0, 0, 0, 45, 82]$ |
\(y^2=x^3+45x+82\) |
948.2.0.? |
$[(-1, 6)]$ |
| 11376.l1 |
11376j2 |
11376.l |
11376j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{8} \cdot 3^{7} \cdot 79^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$948$ |
$16$ |
$0$ |
$3.272095300$ |
$1$ |
|
$2$ |
$9216$ |
$0.882748$ |
$-549250000/1479117$ |
$0.96007$ |
$3.63982$ |
$[0, 0, 0, -975, -27862]$ |
\(y^2=x^3-975x-27862\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 474.8.0.?, 948.16.0.? |
$[(82, 666)]$ |
| 11376.l2 |
11376j1 |
11376.l |
11376j |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{8} \cdot 3^{9} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$948$ |
$16$ |
$0$ |
$1.090698433$ |
$1$ |
|
$2$ |
$3072$ |
$0.333441$ |
$686000/2133$ |
$0.78211$ |
$2.89647$ |
$[0, 0, 0, 105, 866]$ |
\(y^2=x^3+105x+866\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 474.8.0.?, 948.16.0.? |
$[(10, 54)]$ |
| 11376.m1 |
11376o1 |
11376.m |
11376o |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{14} \cdot 3^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.471888$ |
$4826809/316$ |
$0.94063$ |
$3.24428$ |
$[0, 0, 0, -507, 4138]$ |
\(y^2=x^3-507x+4138\) |
316.2.0.? |
$[]$ |
| 11376.n1 |
11376c1 |
11376.n |
11376c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{10} \cdot 3^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.212067$ |
$470596/79$ |
$1.06719$ |
$2.84657$ |
$[0, 0, 0, -147, 578]$ |
\(y^2=x^3-147x+578\) |
316.2.0.? |
$[]$ |
| 11376.o1 |
11376d1 |
11376.o |
11376d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{10} \cdot 3^{7} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$0.743917955$ |
$1$ |
|
$4$ |
$2560$ |
$0.311847$ |
$-1556068/237$ |
$0.77069$ |
$2.99964$ |
$[0, 0, 0, -219, 1402]$ |
\(y^2=x^3-219x+1402\) |
948.2.0.? |
$[(11, 18)]$ |
| 11376.p1 |
11376r2 |
11376.p |
11376r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{13} \cdot 3^{6} \cdot 79^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$632$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.751987$ |
$81182737/12482$ |
$0.85973$ |
$3.54650$ |
$[0, 0, 0, -1299, 15442]$ |
\(y^2=x^3-1299x+15442\) |
2.3.0.a.1, 8.6.0.b.1, 316.6.0.?, 632.12.0.? |
$[]$ |
| 11376.p2 |
11376r1 |
11376.p |
11376r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{14} \cdot 3^{6} \cdot 79 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$632$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.405414$ |
$103823/316$ |
$0.80009$ |
$2.98835$ |
$[0, 0, 0, 141, 1330]$ |
\(y^2=x^3+141x+1330\) |
2.3.0.a.1, 8.6.0.c.1, 158.6.0.?, 632.12.0.? |
$[]$ |
| 11376.q1 |
11376l1 |
11376.q |
11376l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{14} \cdot 3^{11} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$0.732031342$ |
$1$ |
|
$4$ |
$7680$ |
$0.867730$ |
$-30664297/76788$ |
$0.88524$ |
$3.62136$ |
$[0, 0, 0, -939, 25562]$ |
\(y^2=x^3-939x+25562\) |
948.2.0.? |
$[(31, 162)]$ |
| 11376.r1 |
11376e1 |
11376.r |
11376e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{10} \cdot 3^{19} \cdot 79^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$4.200974785$ |
$1$ |
|
$2$ |
$179712$ |
$2.112720$ |
$-1402386001982788/786063417597$ |
$0.99300$ |
$5.25496$ |
$[0, 0, 0, -211539, -52542398]$ |
\(y^2=x^3-211539x-52542398\) |
948.2.0.? |
$[(7091, 595818)]$ |
| 11376.s1 |
11376u1 |
11376.s |
11376u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{12} \cdot 3^{6} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.347412$ |
$912673/79$ |
$0.78348$ |
$3.06594$ |
$[0, 0, 0, -291, 1762]$ |
\(y^2=x^3-291x+1762\) |
316.2.0.? |
$[]$ |
| 11376.t1 |
11376m1 |
11376.t |
11376m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{20} \cdot 3^{6} \cdot 79 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$2.791295254$ |
$1$ |
|
$2$ |
$10752$ |
$0.775876$ |
$72511713/20224$ |
$0.89606$ |
$3.53440$ |
$[0, 0, 0, -1251, 12258]$ |
\(y^2=x^3-1251x+12258\) |
316.2.0.? |
$[(7, 62)]$ |
| 11376.u1 |
11376a1 |
11376.u |
11376a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( 2^{4} \cdot 3^{3} \cdot 79 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$948$ |
$12$ |
$0$ |
$6.519827444$ |
$1$ |
|
$1$ |
$2368$ |
$-0.190216$ |
$121485312/79$ |
$0.84503$ |
$2.64301$ |
$[0, 0, 0, -78, -265]$ |
\(y^2=x^3-78x-265\) |
2.3.0.a.1, 12.6.0.c.1, 316.6.0.?, 474.6.0.?, 948.12.0.? |
$[(551/5, 11674/5)]$ |
| 11376.u2 |
11376a2 |
11376.u |
11376a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{8} \cdot 3^{3} \cdot 79^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$948$ |
$12$ |
$0$ |
$3.259913722$ |
$1$ |
|
$3$ |
$4736$ |
$0.156358$ |
$-4000752/6241$ |
$0.78340$ |
$2.71436$ |
$[0, 0, 0, -63, -370]$ |
\(y^2=x^3-63x-370\) |
2.3.0.a.1, 6.6.0.a.1, 316.6.0.?, 948.12.0.? |
$[(85, 780)]$ |
| 11376.v1 |
11376f1 |
11376.v |
11376f |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 79 \) |
\( - 2^{20} \cdot 3^{9} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$948$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.134010$ |
$-961504803/20224$ |
$1.28431$ |
$4.16789$ |
$[0, 0, 0, -8883, 328050]$ |
\(y^2=x^3-8883x+328050\) |
948.2.0.? |
$[]$ |
