| 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 |
| 786.h1 |
786g1 |
786.h |
786g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.276932433$ |
$1$ |
|
$2$ |
$264$ |
$-0.032312$ |
$119168121961/804864$ |
$0.91365$ |
$3.82540$ |
$[1, 0, 1, -103, -406]$ |
\(y^2+xy+y=x^3-103x-406\) |
3144.2.0.? |
$[(-6, 4)]$ |
| 2358.o1 |
2358r1 |
2358.o |
2358r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{11} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.055719746$ |
$1$ |
|
$14$ |
$2112$ |
$0.516994$ |
$119168121961/804864$ |
$0.91365$ |
$4.13305$ |
$[1, -1, 1, -923, 10955]$ |
\(y^2+xy+y=x^3-x^2-923x+10955\) |
3144.2.0.? |
$[(15, 10)]$ |
| 6288.e1 |
6288e1 |
6288.e |
6288e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{23} \cdot 3 \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6336$ |
$0.660835$ |
$119168121961/804864$ |
$0.91365$ |
$3.86691$ |
$[0, -1, 0, -1640, 25968]$ |
\(y^2=x^3-x^2-1640x+25968\) |
3144.2.0.? |
$[]$ |
| 18864.l1 |
18864bd1 |
18864.l |
18864bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{23} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.210142$ |
$119168121961/804864$ |
$0.91365$ |
$4.10495$ |
$[0, 0, 0, -14763, -686374]$ |
\(y^2=x^3-14763x-686374\) |
3144.2.0.? |
$[]$ |
| 19650.x1 |
19650w1 |
19650.x |
19650w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.990256604$ |
$1$ |
|
$4$ |
$36960$ |
$0.772408$ |
$119168121961/804864$ |
$0.91365$ |
$3.55665$ |
$[1, 1, 1, -2563, -50719]$ |
\(y^2+xy+y=x^3+x^2-2563x-50719\) |
3144.2.0.? |
$[(-29, 30)]$ |
| 25152.i1 |
25152c1 |
25152.i |
25152c |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{29} \cdot 3 \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$2.670299129$ |
$1$ |
|
$2$ |
$50688$ |
$1.007410$ |
$119168121961/804864$ |
$0.91365$ |
$3.74831$ |
$[0, -1, 0, -6561, -201183]$ |
\(y^2=x^3-x^2-6561x-201183\) |
3144.2.0.? |
$[(-49, 16)]$ |
| 25152.bf1 |
25152bn1 |
25152.bf |
25152bn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{29} \cdot 3 \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$1.007410$ |
$119168121961/804864$ |
$0.91365$ |
$3.74831$ |
$[0, 1, 0, -6561, 201183]$ |
\(y^2=x^3+x^2-6561x+201183\) |
3144.2.0.? |
$[]$ |
| 38514.d1 |
38514b1 |
38514.d |
38514b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61776$ |
$0.940643$ |
$119168121961/804864$ |
$0.91365$ |
$3.52117$ |
$[1, 1, 0, -5023, 134149]$ |
\(y^2+xy=x^3+x^2-5023x+134149\) |
3144.2.0.? |
$[]$ |
| 58950.bf1 |
58950m1 |
58950.bf |
58950m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$295680$ |
$1.321714$ |
$119168121961/804864$ |
$0.91365$ |
$3.80102$ |
$[1, -1, 0, -23067, 1346341]$ |
\(y^2+xy=x^3-x^2-23067x+1346341\) |
3144.2.0.? |
$[]$ |
| 75456.ci1 |
75456ba1 |
75456.ci |
75456ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{29} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.956819514$ |
$1$ |
|
$4$ |
$405504$ |
$1.556715$ |
$119168121961/804864$ |
$0.91365$ |
$3.96856$ |
$[0, 0, 0, -59052, 5490992]$ |
\(y^2=x^3-59052x+5490992\) |
3144.2.0.? |
$[(86, 1024)]$ |
| 75456.cp1 |
75456cj1 |
75456.cp |
75456cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{29} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.898788552$ |
$1$ |
|
$2$ |
$405504$ |
$1.556715$ |
$119168121961/804864$ |
$0.91365$ |
$3.96856$ |
$[0, 0, 0, -59052, -5490992]$ |
\(y^2=x^3-59052x-5490992\) |
3144.2.0.? |
$[(938, 27648)]$ |
| 95106.z1 |
95106v1 |
95106.z |
95106v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 11^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$356400$ |
$1.166636$ |
$119168121961/804864$ |
$0.91365$ |
$3.48007$ |
$[1, 0, 0, -12405, 527649]$ |
\(y^2+xy=x^3-12405x+527649\) |
3144.2.0.? |
$[]$ |
| 102966.z1 |
102966w1 |
102966.z |
102966w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{11} \cdot 3 \cdot 131^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4530240$ |
$2.405289$ |
$119168121961/804864$ |
$0.91365$ |
$4.74391$ |
$[1, 0, 0, -1759360, 892811264]$ |
\(y^2+xy=x^3-1759360x+892811264\) |
3144.2.0.? |
$[]$ |
| 115542.by1 |
115542cc1 |
115542.by |
115542cc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.698220153$ |
$1$ |
|
$4$ |
$494208$ |
$1.489950$ |
$119168121961/804864$ |
$0.91365$ |
$3.75478$ |
$[1, -1, 1, -45212, -3667233]$ |
\(y^2+xy+y=x^3-x^2-45212x-3667233\) |
3144.2.0.? |
$[(-115, 93)]$ |
| 132834.ba1 |
132834e1 |
132834.ba |
132834e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$570240$ |
$1.250162$ |
$119168121961/804864$ |
$0.91365$ |
$3.46647$ |
$[1, 0, 0, -17326, -874108]$ |
\(y^2+xy=x^3-17326x-874108\) |
3144.2.0.? |
$[]$ |
| 157200.bn1 |
157200j1 |
157200.bn |
157200j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{23} \cdot 3 \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$3.338097795$ |
$1$ |
|
$0$ |
$887040$ |
$1.465555$ |
$119168121961/804864$ |
$0.91365$ |
$3.63370$ |
$[0, 1, 0, -41008, 3163988]$ |
\(y^2=x^3+x^2-41008x+3163988\) |
3144.2.0.? |
$[(898/3, 7424/3)]$ |
| 227154.a1 |
227154t1 |
227154.a |
227154t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 17^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$15.58766358$ |
$1$ |
|
$0$ |
$1262976$ |
$1.384295$ |
$119168121961/804864$ |
$0.91365$ |
$3.44618$ |
$[1, 1, 0, -29628, -1963824]$ |
\(y^2+xy=x^3+x^2-29628x-1963824\) |
3144.2.0.? |
$[(-9958141/310, 4047678207/310)]$ |
| 283746.z1 |
283746z1 |
283746.z |
283746z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 19^{6} \cdot 131 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.545618896$ |
$1$ |
|
$12$ |
$1596672$ |
$1.439907$ |
$119168121961/804864$ |
$0.91365$ |
$3.43828$ |
$[1, 1, 1, -37010, 2709023]$ |
\(y^2+xy+y=x^3+x^2-37010x+2709023\) |
3144.2.0.? |
$[(17, 1435), (131, 295)]$ |
| 285318.i1 |
285318i1 |
285318.i |
285318i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{11} \cdot 3^{7} \cdot 11^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2851200$ |
$1.715942$ |
$119168121961/804864$ |
$0.91365$ |
$3.70046$ |
$[1, -1, 0, -111645, -14246523]$ |
\(y^2+xy=x^3-x^2-111645x-14246523\) |
3144.2.0.? |
$[]$ |
| 308112.bx1 |
308112bx1 |
308112.bx |
308112bx |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{23} \cdot 3 \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$13.50791915$ |
$1$ |
|
$0$ |
$1482624$ |
$1.633791$ |
$119168121961/804864$ |
$0.91365$ |
$3.59996$ |
$[0, 1, 0, -80376, -8746284]$ |
\(y^2=x^3+x^2-80376x-8746284\) |
3144.2.0.? |
$[(-2435428/121, 390793614/121)]$ |
| 308898.h1 |
308898h1 |
308898.h |
308898h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$3.929926344$ |
$1$ |
|
$0$ |
$36241920$ |
$2.954594$ |
$119168121961/804864$ |
$0.91365$ |
$4.85308$ |
$[1, -1, 0, -15834240, -24105904128]$ |
\(y^2+xy=x^3-x^2-15834240x-24105904128\) |
3144.2.0.? |
$[(-37331/4, 812585/4)]$ |
| 398502.r1 |
398502r1 |
398502.r |
398502r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{11} \cdot 3^{7} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4561920$ |
$1.799469$ |
$119168121961/804864$ |
$0.91365$ |
$3.68231$ |
$[1, -1, 0, -155934, 23600916]$ |
\(y^2+xy=x^3-x^2-155934x+23600916\) |
3144.2.0.? |
$[]$ |
| 415794.q1 |
415794q1 |
415794.q |
415794q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{11} \cdot 3 \cdot 23^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3200208$ |
$1.535435$ |
$119168121961/804864$ |
$0.91365$ |
$3.42533$ |
$[1, 0, 1, -54234, 4828300]$ |
\(y^2+xy+y=x^3-54234x+4828300\) |
3144.2.0.? |
$[]$ |
| 471600.c1 |
471600c1 |
471600.c |
471600c |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7096320$ |
$2.014862$ |
$119168121961/804864$ |
$0.91365$ |
$3.83269$ |
$[0, 0, 0, -369075, -85796750]$ |
\(y^2=x^3-369075x-85796750\) |
3144.2.0.? |
$[]$ |
