| 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.a1 |
786b1 |
786.a |
786b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.240487738$ |
$1$ |
|
$6$ |
$216$ |
$0.066278$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.27997$ |
$[1, 1, 0, -281, 1701]$ |
\(y^2+xy=x^3+x^2-281x+1701\) |
1572.2.0.? |
$[(10, -1)]$ |
| 2358.w1 |
2358w1 |
2358.w |
2358w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{9} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.615584$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.52331$ |
$[1, -1, 1, -2534, -48459]$ |
\(y^2+xy+y=x^3-x^2-2534x-48459\) |
1572.2.0.? |
$[]$ |
| 6288.i1 |
6288p1 |
6288.i |
6288p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 131 \) |
\( - 2^{18} \cdot 3^{3} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5184$ |
$0.759425$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.21341$ |
$[0, 1, 0, -4504, -117868]$ |
\(y^2=x^3+x^2-4504x-117868\) |
1572.2.0.? |
$[]$ |
| 18864.y1 |
18864u1 |
18864.y |
18864u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 131 \) |
\( - 2^{18} \cdot 3^{9} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.798906738$ |
$1$ |
|
$4$ |
$41472$ |
$1.308731$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.41278$ |
$[0, 0, 0, -40539, 3141898]$ |
\(y^2=x^3-40539x+3141898\) |
1572.2.0.? |
$[(119, 54)]$ |
| 19650.ba1 |
19650bc1 |
19650.ba |
19650bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.176124410$ |
$1$ |
|
$8$ |
$27648$ |
$0.870997$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.86321$ |
$[1, 0, 0, -7038, 226692]$ |
\(y^2+xy=x^3-7038x+226692\) |
1572.2.0.? |
$[(42, 54)]$ |
| 25152.r1 |
25152w1 |
25152.r |
25152w |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( - 2^{24} \cdot 3^{3} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41472$ |
$1.105999$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.04740$ |
$[0, -1, 0, -18017, -924927]$ |
\(y^2=x^3-x^2-18017x-924927\) |
1572.2.0.? |
$[]$ |
| 25152.bn1 |
25152p1 |
25152.bn |
25152p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 131 \) |
\( - 2^{24} \cdot 3^{3} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.639582312$ |
$1$ |
|
$4$ |
$41472$ |
$1.105999$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.04740$ |
$[0, 1, 0, -18017, 924927]$ |
\(y^2=x^3+x^2-18017x+924927\) |
1572.2.0.? |
$[(19, 768)]$ |
| 38514.s1 |
38514q1 |
38514.s |
38514q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$1.039234$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.80819$ |
$[1, 0, 1, -13795, -624802]$ |
\(y^2+xy+y=x^3-13795x-624802\) |
1572.2.0.? |
$[]$ |
| 58950.k1 |
58950t1 |
58950.k |
58950t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1.578999014$ |
$1$ |
|
$4$ |
$221184$ |
$1.420303$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.07692$ |
$[1, -1, 0, -63342, -6120684]$ |
\(y^2+xy=x^3-x^2-63342x-6120684\) |
1572.2.0.? |
$[(324, 2538)]$ |
| 75456.k1 |
75456dg1 |
75456.k |
75456dg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( - 2^{24} \cdot 3^{9} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.655306$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.23839$ |
$[0, 0, 0, -162156, 25135184]$ |
\(y^2=x^3-162156x+25135184\) |
1572.2.0.? |
$[]$ |
| 75456.u1 |
75456r1 |
75456.u |
75456r |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 131 \) |
\( - 2^{24} \cdot 3^{9} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.655306$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.23839$ |
$[0, 0, 0, -162156, -25135184]$ |
\(y^2=x^3-162156x-25135184\) |
1572.2.0.? |
$[]$ |
| 95106.o1 |
95106s1 |
95106.o |
95106s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 11^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$291600$ |
$1.265226$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.74446$ |
$[1, 1, 1, -34064, -2434255]$ |
\(y^2+xy+y=x^3+x^2-34064x-2434255\) |
1572.2.0.? |
$[]$ |
| 102966.m1 |
102966r1 |
102966.m |
102966r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 131^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$6.538104735$ |
$1$ |
|
$0$ |
$3706560$ |
$2.503876$ |
$-2467489596697/226368$ |
$0.93723$ |
$5.00648$ |
$[1, 1, 1, -4831179, -4089555015]$ |
\(y^2+xy+y=x^3+x^2-4831179x-4089555015\) |
1572.2.0.? |
$[(580531/15, 80351026/15)]$ |
| 115542.bi1 |
115542bt1 |
115542.bi |
115542bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 131 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$0.510800087$ |
$1$ |
|
$18$ |
$622080$ |
$1.588539$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.01475$ |
$[1, -1, 1, -124151, 16869647]$ |
\(y^2+xy+y=x^3-x^2-124151x+16869647\) |
1572.2.0.? |
$[(303, 2494), (195, 118)]$ |
| 132834.u1 |
132834r1 |
132834.u |
132834r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 13^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 13^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$484704$ |
$1.348753$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.72337$ |
$[1, 1, 1, -47577, 3974823]$ |
\(y^2+xy+y=x^3+x^2-47577x+3974823\) |
1572.2.0.? |
$[]$ |
| 157200.ba1 |
157200cc1 |
157200.ba |
157200cc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 131 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$14.55747226$ |
$1$ |
|
$0$ |
$663552$ |
$1.564144$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.88698$ |
$[0, -1, 0, -112608, -14508288]$ |
\(y^2=x^3-x^2-112608x-14508288\) |
1572.2.0.? |
$[(19668098/83, 86578128550/83)]$ |
| 227154.j1 |
227154s1 |
227154.j |
227154s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 17^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 17^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1.967451038$ |
$1$ |
|
$2$ |
$1033344$ |
$1.482885$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.69190$ |
$[1, 0, 1, -81360, 8926174]$ |
\(y^2+xy+y=x^3-81360x+8926174\) |
1572.2.0.? |
$[(161, 3)]$ |
| 283746.ba1 |
283746ba1 |
283746.ba |
283746ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 19^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1551312$ |
$1.538498$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.67965$ |
$[1, 0, 0, -101629, -12479695]$ |
\(y^2+xy=x^3-101629x-12479695\) |
1572.2.0.? |
$[]$ |
| 285318.q1 |
285318q1 |
285318.q |
285318q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$2.062887732$ |
$1$ |
|
$2$ |
$2332800$ |
$1.814531$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.94173$ |
$[1, -1, 0, -306576, 65418304]$ |
\(y^2+xy=x^3-x^2-306576x+65418304\) |
1572.2.0.? |
$[(320, -88)]$ |
| 308112.bb1 |
308112bb1 |
308112.bb |
308112bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 131 \) |
\( - 2^{18} \cdot 3^{3} \cdot 7^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$3.899867087$ |
$1$ |
|
$0$ |
$1866240$ |
$1.732380$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.83975$ |
$[0, -1, 0, -220712, 39987312]$ |
\(y^2=x^3-x^2-220712x+39987312\) |
1572.2.0.? |
$[(2362/3, 7154/3)]$ |
| 308898.w1 |
308898w1 |
308898.w |
308898w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 131^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 131^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$7.633938780$ |
$1$ |
|
$0$ |
$29652480$ |
$3.053185$ |
$-2467489596697/226368$ |
$0.93723$ |
$5.09283$ |
$[1, -1, 0, -43480611, 110374504789]$ |
\(y^2+xy=x^3-x^2-43480611x+110374504789\) |
1572.2.0.? |
$[(2135150/29, 3087056737/29)]$ |
| 398502.d1 |
398502d1 |
398502.d |
398502d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{9} \cdot 13^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$4.927753503$ |
$1$ |
|
$2$ |
$3877632$ |
$1.898060$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.91733$ |
$[1, -1, 0, -428193, -107748419]$ |
\(y^2+xy=x^3-x^2-428193x-107748419\) |
1572.2.0.? |
$[(794, 6839)]$ |
| 415794.l1 |
415794l1 |
415794.l |
415794l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 23^{2} \cdot 131 \) |
\( - 2^{6} \cdot 3^{3} \cdot 23^{6} \cdot 131 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2661120$ |
$1.634026$ |
$-2467489596697/226368$ |
$0.93723$ |
$3.65957$ |
$[1, 1, 0, -148924, -22184432]$ |
\(y^2+xy=x^3+x^2-148924x-22184432\) |
1572.2.0.? |
$[]$ |
| 471600.dw1 |
471600dw1 |
471600.dw |
471600dw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 131 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1572$ |
$2$ |
$0$ |
$2.188887871$ |
$1$ |
|
$2$ |
$5308416$ |
$2.113449$ |
$-2467489596697/226368$ |
$0.93723$ |
$4.06467$ |
$[0, 0, 0, -1013475, 392737250]$ |
\(y^2=x^3-1013475x+392737250\) |
1572.2.0.? |
$[(655, 3150)]$ |
