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 |
574.h1 |
574g1 |
574.h |
574g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2296$ |
$2$ |
$0$ |
$0.084302341$ |
$1$ |
|
$10$ |
$88$ |
$-0.203268$ |
$1027243729/587776$ |
$0.92224$ |
$3.26639$ |
$[1, 1, 1, -21, -5]$ |
\(y^2+xy+y=x^3+x^2-21x-5\) |
2296.2.0.? |
$[(-1, 4)]$ |
4018.p1 |
4018m1 |
4018.p |
4018m |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 41 \) |
\( 2^{11} \cdot 7^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$0.150184674$ |
$1$ |
|
$6$ |
$4224$ |
$0.769687$ |
$1027243729/587776$ |
$0.92224$ |
$3.90739$ |
$[1, 0, 0, -1030, -1436]$ |
\(y^2+xy=x^3-1030x-1436\) |
2296.2.0.? |
$[(-24, 110)]$ |
4592.h1 |
4592l1 |
4592.h |
4592l |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 41 \) |
\( 2^{23} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2112$ |
$0.489879$ |
$1027243729/587776$ |
$0.92224$ |
$3.44730$ |
$[0, 1, 0, -336, -364]$ |
\(y^2=x^3+x^2-336x-364\) |
2296.2.0.? |
$[]$ |
5166.m1 |
5166h1 |
5166.m |
5166h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 41 \) |
\( 2^{11} \cdot 3^{6} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2640$ |
$0.346038$ |
$1027243729/587776$ |
$0.92224$ |
$3.19793$ |
$[1, -1, 0, -189, -59]$ |
\(y^2+xy=x^3-x^2-189x-59\) |
2296.2.0.? |
$[]$ |
14350.g1 |
14350e1 |
14350.g |
14350e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 41 \) |
\( 2^{11} \cdot 5^{6} \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$3.490265197$ |
$1$ |
|
$2$ |
$12320$ |
$0.601451$ |
$1027243729/587776$ |
$0.92224$ |
$3.17680$ |
$[1, 0, 1, -526, 448]$ |
\(y^2+xy+y=x^3-526x+448\) |
2296.2.0.? |
$[(-22, 49)]$ |
18368.j1 |
18368bb1 |
18368.j |
18368bb |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 41 \) |
\( 2^{29} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16896$ |
$0.836452$ |
$1027243729/587776$ |
$0.92224$ |
$3.38415$ |
$[0, -1, 0, -1345, -1567]$ |
\(y^2=x^3-x^2-1345x-1567\) |
2296.2.0.? |
$[]$ |
18368.s1 |
18368d1 |
18368.s |
18368d |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 41 \) |
\( 2^{29} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16896$ |
$0.836452$ |
$1027243729/587776$ |
$0.92224$ |
$3.38415$ |
$[0, 1, 0, -1345, 1567]$ |
\(y^2=x^3+x^2-1345x+1567\) |
2296.2.0.? |
$[]$ |
23534.u1 |
23534v1 |
23534.u |
23534v |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 41^{2} \) |
\( 2^{11} \cdot 7 \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1.130757438$ |
$1$ |
|
$4$ |
$147840$ |
$1.653517$ |
$1027243729/587776$ |
$0.92224$ |
$4.27486$ |
$[1, 0, 0, -35336, 268352]$ |
\(y^2+xy=x^3-35336x+268352\) |
2296.2.0.? |
$[(-106, 1734)]$ |
32144.m1 |
32144r1 |
32144.m |
32144r |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 41 \) |
\( 2^{23} \cdot 7^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$2.908732999$ |
$1$ |
|
$2$ |
$101376$ |
$1.462833$ |
$1027243729/587776$ |
$0.92224$ |
$3.92594$ |
$[0, -1, 0, -16480, 91904]$ |
\(y^2=x^3-x^2-16480x+91904\) |
2296.2.0.? |
$[(5, 98)]$ |
36162.q1 |
36162be1 |
36162.q |
36162be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{7} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$126720$ |
$1.318993$ |
$1027243729/587776$ |
$0.92224$ |
$3.71743$ |
$[1, -1, 0, -9270, 38772]$ |
\(y^2+xy=x^3-x^2-9270x+38772\) |
2296.2.0.? |
$[]$ |
41328.bo1 |
41328bx1 |
41328.bo |
41328bx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 41 \) |
\( 2^{23} \cdot 3^{6} \cdot 7 \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$3.270073153$ |
$1$ |
|
$8$ |
$63360$ |
$1.039185$ |
$1027243729/587776$ |
$0.92224$ |
$3.35484$ |
$[0, 0, 0, -3027, 6802]$ |
\(y^2=x^3-3027x+6802\) |
2296.2.0.? |
$[(-39, 256), (673/3, 12032/3)]$ |
69454.d1 |
69454g1 |
69454.d |
69454g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 11^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1.832794320$ |
$1$ |
|
$4$ |
$95040$ |
$0.995679$ |
$1027243729/587776$ |
$0.92224$ |
$3.15179$ |
$[1, 1, 0, -2543, -6299]$ |
\(y^2+xy=x^3+x^2-2543x-6299\) |
2296.2.0.? |
$[(-49, 85)]$ |
97006.c1 |
97006g1 |
97006.c |
97006g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 13^{6} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$190080$ |
$1.079206$ |
$1027243729/587776$ |
$0.92224$ |
$3.14738$ |
$[1, 1, 0, -3552, 7168]$ |
\(y^2+xy=x^3+x^2-3552x+7168\) |
2296.2.0.? |
$[]$ |
100450.f1 |
100450k1 |
100450.f |
100450k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{7} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$591360$ |
$1.574406$ |
$1027243729/587776$ |
$0.92224$ |
$3.65379$ |
$[1, 1, 0, -25750, -179500]$ |
\(y^2+xy=x^3+x^2-25750x-179500\) |
2296.2.0.? |
$[]$ |
114800.s1 |
114800bj1 |
114800.s |
114800bj |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 41 \) |
\( 2^{23} \cdot 5^{6} \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$2.332991218$ |
$1$ |
|
$2$ |
$295680$ |
$1.294598$ |
$1027243729/587776$ |
$0.92224$ |
$3.32372$ |
$[0, -1, 0, -8408, -28688]$ |
\(y^2=x^3-x^2-8408x-28688\) |
2296.2.0.? |
$[(236, 3328)]$ |
128576.bb1 |
128576u1 |
128576.bb |
128576u |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( 2^{29} \cdot 7^{7} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1.817713572$ |
$1$ |
|
$8$ |
$811008$ |
$1.809408$ |
$1027243729/587776$ |
$0.92224$ |
$3.81683$ |
$[0, -1, 0, -65921, -669311]$ |
\(y^2=x^3-x^2-65921x-669311\) |
2296.2.0.? |
$[(1377, 50176), (-1943/3, 50176/3)]$ |
128576.ca1 |
128576ci1 |
128576.ca |
128576ci |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 41 \) |
\( 2^{29} \cdot 7^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$3.199711770$ |
$1$ |
|
$2$ |
$811008$ |
$1.809408$ |
$1027243729/587776$ |
$0.92224$ |
$3.81683$ |
$[0, 1, 0, -65921, 669311]$ |
\(y^2=x^3+x^2-65921x+669311\) |
2296.2.0.? |
$[(-187, 2548)]$ |
129150.ea1 |
129150dh1 |
129150.ea |
129150dh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 41 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$369600$ |
$1.150757$ |
$1027243729/587776$ |
$0.92224$ |
$3.14379$ |
$[1, -1, 1, -4730, -12103]$ |
\(y^2+xy+y=x^3-x^2-4730x-12103\) |
2296.2.0.? |
$[]$ |
164738.bd1 |
164738f1 |
164738.bd |
164738f |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 41^{2} \) |
\( 2^{11} \cdot 7^{7} \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$0.807664630$ |
$1$ |
|
$4$ |
$7096320$ |
$2.626472$ |
$1027243729/587776$ |
$0.92224$ |
$4.55432$ |
$[1, 1, 1, -1731465, -93776201]$ |
\(y^2+xy+y=x^3+x^2-1731465x-93776201\) |
2296.2.0.? |
$[(-161, 13528)]$ |
165312.cf1 |
165312el1 |
165312.cf |
165312el |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 41 \) |
\( 2^{29} \cdot 3^{6} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$506880$ |
$1.385759$ |
$1027243729/587776$ |
$0.92224$ |
$3.31390$ |
$[0, 0, 0, -12108, -54416]$ |
\(y^2=x^3-12108x-54416\) |
2296.2.0.? |
$[]$ |
165312.db1 |
165312v1 |
165312.db |
165312v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 41 \) |
\( 2^{29} \cdot 3^{6} \cdot 7 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$506880$ |
$1.385759$ |
$1027243729/587776$ |
$0.92224$ |
$3.31390$ |
$[0, 0, 0, -12108, 54416]$ |
\(y^2=x^3-12108x+54416\) |
2296.2.0.? |
$[]$ |
165886.bb1 |
165886h1 |
165886.bb |
165886h |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 17^{2} \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 17^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$2.493915768$ |
$1$ |
|
$2$ |
$387200$ |
$1.213339$ |
$1027243729/587776$ |
$0.92224$ |
$3.14080$ |
$[1, 0, 0, -6075, 18833]$ |
\(y^2+xy=x^3-6075x+18833\) |
2296.2.0.? |
$[(-2, 177)]$ |
188272.k1 |
188272i1 |
188272.k |
188272i |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 41^{2} \) |
\( 2^{23} \cdot 7 \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3548160$ |
$2.346664$ |
$1027243729/587776$ |
$0.92224$ |
$4.22780$ |
$[0, -1, 0, -565376, -17174528]$ |
\(y^2=x^3-x^2-565376x-17174528\) |
2296.2.0.? |
$[]$ |
207214.j1 |
207214w1 |
207214.j |
207214w |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 19^{2} \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 19^{6} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$4.608015536$ |
$1$ |
|
$6$ |
$633600$ |
$1.268951$ |
$1027243729/587776$ |
$0.92224$ |
$3.13824$ |
$[1, 0, 1, -7589, -27632]$ |
\(y^2+xy+y=x^3-7589x-27632\) |
2296.2.0.? |
$[(-8, 184), (-89/2, 2973/2)]$ |
211806.bc1 |
211806ci1 |
211806.bc |
211806ci |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 41^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7 \cdot 41^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$7.686164625$ |
$1$ |
|
$0$ |
$4435200$ |
$2.202824$ |
$1027243729/587776$ |
$0.92224$ |
$4.04644$ |
$[1, -1, 0, -318024, -7245504]$ |
\(y^2+xy=x^3-x^2-318024x-7245504\) |
2296.2.0.? |
$[(-11339/20, 10685199/20)]$ |
289296.by1 |
289296by1 |
289296.by |
289296by |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 41 \) |
\( 2^{23} \cdot 3^{6} \cdot 7^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$3.064933643$ |
$1$ |
|
$2$ |
$3041280$ |
$2.012138$ |
$1027243729/587776$ |
$0.92224$ |
$3.76416$ |
$[0, 0, 0, -148323, -2333086]$ |
\(y^2=x^3-148323x-2333086\) |
2296.2.0.? |
$[(3857, 238336)]$ |
303646.bc1 |
303646bc1 |
303646.bc |
303646bc |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 23^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$0.997042959$ |
$1$ |
|
$4$ |
$991232$ |
$1.364479$ |
$1027243729/587776$ |
$0.92224$ |
$3.13405$ |
$[1, 1, 1, -11120, -52527]$ |
\(y^2+xy+y=x^3+x^2-11120x-52527\) |
2296.2.0.? |
$[(-33, 545)]$ |
459200.cv1 |
459200cv1 |
459200.cv |
459200cv |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 41 \) |
\( 2^{29} \cdot 5^{6} \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$9.157023374$ |
$1$ |
|
$0$ |
$2365440$ |
$1.641171$ |
$1027243729/587776$ |
$0.92224$ |
$3.28930$ |
$[0, -1, 0, -33633, 263137]$ |
\(y^2=x^3-x^2-33633x+263137\) |
2296.2.0.? |
$[(-8609/9, 1181312/9)]$ |
459200.ea1 |
459200ea1 |
459200.ea |
459200ea |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 41 \) |
\( 2^{29} \cdot 5^{6} \cdot 7 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1.297565854$ |
$1$ |
|
$4$ |
$2365440$ |
$1.641171$ |
$1027243729/587776$ |
$0.92224$ |
$3.28930$ |
$[0, 1, 0, -33633, -263137]$ |
\(y^2=x^3+x^2-33633x-263137\) |
2296.2.0.? |
$[(-41, 1024)]$ |
482734.f1 |
482734f1 |
482734.f |
482734f |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 29^{2} \cdot 41 \) |
\( 2^{11} \cdot 7 \cdot 29^{6} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$7.874379522$ |
$1$ |
|
$0$ |
$2215136$ |
$1.480379$ |
$1027243729/587776$ |
$0.92224$ |
$3.12931$ |
$[1, 0, 1, -17679, 94530]$ |
\(y^2+xy+y=x^3-17679x+94530\) |
2296.2.0.? |
$[(-1035/4, 65021/4)]$ |
486178.t1 |
486178t1 |
486178.t |
486178t |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 41 \) |
\( 2^{11} \cdot 7^{7} \cdot 11^{6} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2296$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4561920$ |
$1.968634$ |
$1027243729/587776$ |
$0.92224$ |
$3.57506$ |
$[1, 0, 1, -124633, 1786684]$ |
\(y^2+xy+y=x^3-124633x+1786684\) |
2296.2.0.? |
$[]$ |