| 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.b1 |
786d1 |
786.b |
786d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$504$ |
$0.551885$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.40344$ |
$[1, 1, 0, -3418, -78356]$ |
\(y^2+xy=x^3+x^2-3418x-78356\) |
3144.2.0.? |
$[]$ |
| 2358.t1 |
2358q1 |
2358.t |
2358q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{13} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.597968797$ |
$1$ |
|
$4$ |
$4032$ |
$1.101191$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.48784$ |
$[1, -1, 1, -30767, 2084847]$ |
\(y^2+xy+y=x^3-x^2-30767x+2084847\) |
3144.2.0.? |
$[(101, -42)]$ |
| 6288.l1 |
6288j1 |
6288.l |
6288j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( 2^{15} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.327782738$ |
$1$ |
|
$6$ |
$12096$ |
$1.245031$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.06977$ |
$[0, 1, 0, -54696, 4905396]$ |
\(y^2=x^3+x^2-54696x+4905396\) |
3144.2.0.? |
$[(132, 54)]$ |
| 18864.w1 |
18864ba1 |
18864.w |
18864ba |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{13} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.794338$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.17358$ |
$[0, 0, 0, -492267, -132937958]$ |
\(y^2=x^3-492267x-132937958\) |
3144.2.0.? |
$[]$ |
| 19650.bh1 |
19650bg1 |
19650.bh |
19650bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70560$ |
$1.356604$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.62087$ |
$[1, 0, 0, -85463, -9623583]$ |
\(y^2+xy=x^3-85463x-9623583\) |
3144.2.0.? |
$[]$ |
| 25152.q1 |
25152be1 |
25152.q |
25152be |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$3.666828015$ |
$1$ |
|
$2$ |
$96768$ |
$1.591606$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.78660$ |
$[0, -1, 0, -218785, 39461953]$ |
\(y^2=x^3-x^2-218785x+39461953\) |
3144.2.0.? |
$[(264, 181)]$ |
| 25152.bk1 |
25152j1 |
25152.bk |
25152j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( 2^{21} \cdot 3^{7} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.591606$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.78660$ |
$[0, 1, 0, -218785, -39461953]$ |
\(y^2=x^3+x^2-218785x-39461953\) |
3144.2.0.? |
$[]$ |
| 38514.r1 |
38514k1 |
38514.r |
38514k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1.090451045$ |
$1$ |
|
$4$ |
$166320$ |
$1.524839$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.51756$ |
$[1, 0, 1, -167508, 26373610]$ |
\(y^2+xy+y=x^3-167508x+26373610\) |
3144.2.0.? |
$[(236, -114)]$ |
| 58950.z1 |
58950l1 |
58950.z |
58950l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{13} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$564480$ |
$1.905910$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.75880$ |
$[1, -1, 0, -769167, 259836741]$ |
\(y^2+xy=x^3-x^2-769167x+259836741\) |
3144.2.0.? |
$[]$ |
| 75456.y1 |
75456bb1 |
75456.y |
75456bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{13} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.711753298$ |
$1$ |
|
$4$ |
$774144$ |
$2.140911$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.90529$ |
$[0, 0, 0, -1969068, 1063503664]$ |
\(y^2=x^3-1969068x+1063503664\) |
3144.2.0.? |
$[(470, 15552)]$ |
| 75456.bi1 |
75456cl1 |
75456.bi |
75456cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( 2^{21} \cdot 3^{13} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$6.720444979$ |
$1$ |
|
$2$ |
$774144$ |
$2.140911$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.90529$ |
$[0, 0, 0, -1969068, -1063503664]$ |
\(y^2=x^3-1969068x-1063503664\) |
3144.2.0.? |
$[(10346, 1042112)]$ |
| 95106.r1 |
95106n1 |
95106.r |
95106n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$5.389029178$ |
$1$ |
|
$0$ |
$720720$ |
$1.750832$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.39789$ |
$[1, 1, 1, -413641, 102223727]$ |
\(y^2+xy+y=x^3+x^2-413641x+102223727\) |
3144.2.0.? |
$[(1447/2, 983/2)]$ |
| 102966.n1 |
102966o1 |
102966.n |
102966o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$5.203718485$ |
$1$ |
|
$2$ |
$8648640$ |
$2.989483$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.65542$ |
$[1, 1, 1, -58665236, 172924993037]$ |
\(y^2+xy+y=x^3+x^2-58665236x+172924993037\) |
3144.2.0.? |
$[(4415, -1489)]$ |
| 115542.bl1 |
115542cd1 |
115542.bl |
115542cd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{13} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$5.886861116$ |
$1$ |
|
$0$ |
$1330560$ |
$2.074146$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.65727$ |
$[1, -1, 1, -1507568, -712087477]$ |
\(y^2+xy+y=x^3-x^2-1507568x-712087477\) |
3144.2.0.? |
$[(-204801/17, 1826075/17)]$ |
| 132834.t1 |
132834q1 |
132834.t |
132834q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$12.09310235$ |
$1$ |
|
$0$ |
$1161216$ |
$1.834360$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.35830$ |
$[1, 1, 1, -577730, -169259641]$ |
\(y^2+xy+y=x^3+x^2-577730x-169259641\) |
3144.2.0.? |
$[(-64410413/383, 12675866335/383)]$ |
| 157200.e1 |
157200br1 |
157200.e |
157200br |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1693440$ |
$2.049751$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.51297$ |
$[0, -1, 0, -1367408, 615909312]$ |
\(y^2=x^3-x^2-1367408x+615909312\) |
3144.2.0.? |
$[]$ |
| 227154.i1 |
227154r1 |
227154.i |
227154r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 17^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2604672$ |
$1.968491$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.29921$ |
$[1, 0, 1, -987953, -378047716]$ |
\(y^2+xy+y=x^3-987953x-378047716\) |
3144.2.0.? |
$[]$ |
| 283746.bc1 |
283746bc1 |
283746.bc |
283746bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 19^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$0.335228970$ |
$1$ |
|
$6$ |
$3483648$ |
$2.024105$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.27619$ |
$[1, 0, 0, -1234086, 527571612]$ |
\(y^2+xy=x^3-1234086x+527571612\) |
3144.2.0.? |
$[(714, 2892)]$ |
| 285318.n1 |
285318n1 |
285318.n |
285318n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{13} \cdot 11^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$5765760$ |
$2.300137$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.53801$ |
$[1, -1, 0, -3722769, -2763763403]$ |
\(y^2+xy=x^3-x^2-3722769x-2763763403\) |
3144.2.0.? |
$[]$ |
| 308112.t1 |
308112t1 |
308112.t |
308112t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{7} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3991680$ |
$2.217987$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.43241$ |
$[0, -1, 0, -2680120, -1687911056]$ |
\(y^2=x^3-x^2-2680120x-1687911056\) |
3144.2.0.? |
$[]$ |
| 308898.r1 |
308898r1 |
308898.r |
308898r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( 2^{3} \cdot 3^{13} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$20.81687003$ |
$1$ |
|
$0$ |
$69189120$ |
$3.538788$ |
$4418129129836969/2291976$ |
$0.98193$ |
$5.68536$ |
$[1, -1, 0, -527987124, -4669502799128]$ |
\(y^2+xy=x^3-x^2-527987124x-4669502799128\) |
3144.2.0.? |
$[(1428651093767/1538, 1705258199305985083/1538)]$ |
| 398502.h1 |
398502h1 |
398502.h |
398502h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{13} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9289728$ |
$2.383667$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.49816$ |
$[1, -1, 0, -5199570, 4564810732]$ |
\(y^2+xy=x^3-x^2-5199570x+4564810732\) |
3144.2.0.? |
$[]$ |
| 415794.j1 |
415794j1 |
415794.j |
415794j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( 2^{3} \cdot 3^{7} \cdot 23^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$15.20245791$ |
$1$ |
|
$0$ |
$5488560$ |
$2.119633$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.23850$ |
$[1, 1, 0, -1808397, 935274357]$ |
\(y^2+xy=x^3+x^2-1808397x+935274357\) |
3144.2.0.? |
$[(16096301/149, 6846509654/149)]$ |
| 471600.bg1 |
471600bg1 |
471600.bg |
471600bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( 2^{15} \cdot 3^{13} \cdot 5^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3144$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13547520$ |
$2.599056$ |
$4418129129836969/2291976$ |
$0.98193$ |
$4.63802$ |
$[0, 0, 0, -12306675, -16617244750]$ |
\(y^2=x^3-12306675x-16617244750\) |
3144.2.0.? |
$[]$ |
