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 |
38.b2 |
38b1 |
38.b |
38b |
$2$ |
$5$ |
\( 2 \cdot 19 \) |
\( - 2^{5} \cdot 19 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.1 |
5B.1.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$2$ |
$-0.786934$ |
$-1/608$ |
$1.37833$ |
$3.81156$ |
$[1, 1, 1, 0, 1]$ |
\(y^2+xy+y=x^3+x^2+1\) |
5.24.0-5.a.1.2, 152.2.0.?, 760.48.1.? |
$[]$ |
304.d2 |
304a1 |
304.d |
304a |
$2$ |
$5$ |
\( 2^{4} \cdot 19 \) |
\( - 2^{17} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$0.327925939$ |
$1$ |
|
$6$ |
$48$ |
$-0.093787$ |
$-1/608$ |
$1.37833$ |
$3.88010$ |
$[0, 1, 0, 0, -76]$ |
\(y^2=x^3+x^2-76\) |
5.12.0.a.1, 20.24.0-5.a.1.2, 152.2.0.?, 760.48.1.? |
$[(10, 32)]$ |
342.d2 |
342g1 |
342.d |
342g |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$-0.237628$ |
$-1/608$ |
$1.37833$ |
$3.50595$ |
$[1, -1, 0, 0, -32]$ |
\(y^2+xy=x^3-x^2-32\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[]$ |
722.b2 |
722c1 |
722.b |
722c |
$2$ |
$5$ |
\( 2 \cdot 19^{2} \) |
\( - 2^{5} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$0.685286$ |
$-1/608$ |
$1.37833$ |
$4.79055$ |
$[1, 0, 1, -8, -8138]$ |
\(y^2+xy+y=x^3-8x-8138\) |
5.12.0.a.1, 40.24.0-5.a.1.7, 95.24.0.?, 152.2.0.?, 760.48.1.? |
$[]$ |
950.b2 |
950a1 |
950.b |
950a |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 19 \) |
\( - 2^{5} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.2 |
5B.1.4 |
$760$ |
$48$ |
$1$ |
$0.546344410$ |
$1$ |
|
$4$ |
$160$ |
$0.017785$ |
$-1/608$ |
$1.37833$ |
$3.43056$ |
$[1, 0, 1, -1, 148]$ |
\(y^2+xy+y=x^3-x+148\) |
5.24.0-5.a.1.1, 152.2.0.?, 760.48.1.? |
$[(2, 11)]$ |
1216.g2 |
1216j1 |
1216.g |
1216j |
$2$ |
$5$ |
\( 2^{6} \cdot 19 \) |
\( - 2^{23} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.252787$ |
$-1/608$ |
$1.37833$ |
$3.70834$ |
$[0, -1, 0, -1, -607]$ |
\(y^2=x^3-x^2-x-607\) |
5.12.0.a.1, 40.24.0-5.a.1.1, 152.2.0.?, 380.24.0.?, 760.48.1.? |
$[]$ |
1216.n2 |
1216f1 |
1216.n |
1216f |
$2$ |
$5$ |
\( 2^{6} \cdot 19 \) |
\( - 2^{23} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.252787$ |
$-1/608$ |
$1.37833$ |
$3.70834$ |
$[0, 1, 0, -1, 607]$ |
\(y^2=x^3+x^2-x+607\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 152.2.0.?, 190.24.0.?, 760.48.1.? |
$[]$ |
1862.f2 |
1862f1 |
1862.f |
1862f |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$660$ |
$0.186021$ |
$-1/608$ |
$1.37833$ |
$3.39208$ |
$[1, 0, 0, -1, -407]$ |
\(y^2+xy=x^3-x-407\) |
5.12.0.a.1, 35.24.0-5.a.1.2, 152.2.0.?, 760.24.1.?, 5320.48.1.? |
$[]$ |
2736.w2 |
2736x1 |
2736.w |
2736x |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.455519$ |
$-1/608$ |
$1.37833$ |
$3.63576$ |
$[0, 0, 0, -3, 2050]$ |
\(y^2=x^3-3x+2050\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[]$ |
4598.a2 |
4598k1 |
4598.a |
4598k |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 19 \) |
\( - 2^{5} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8360$ |
$48$ |
$1$ |
$0.846023550$ |
$1$ |
|
$4$ |
$2800$ |
$0.412013$ |
$-1/608$ |
$1.37833$ |
$3.35005$ |
$[1, 1, 0, -2, -1580]$ |
\(y^2+xy=x^3+x^2-2x-1580\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 152.2.0.?, 760.24.1.?, 8360.48.1.? |
$[(17, 52)]$ |
5776.d2 |
5776o1 |
5776.d |
5776o |
$2$ |
$5$ |
\( 2^{4} \cdot 19^{2} \) |
\( - 2^{17} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$0.477248119$ |
$1$ |
|
$6$ |
$17280$ |
$1.378433$ |
$-1/608$ |
$1.37833$ |
$4.60076$ |
$[0, -1, 0, -120, 520816]$ |
\(y^2=x^3-x^2-120x+520816\) |
5.12.0.a.1, 40.24.0-5.a.1.5, 152.2.0.?, 380.24.0.?, 760.48.1.? |
$[(-6, 722)]$ |
6422.b2 |
6422b1 |
6422.b |
6422b |
$2$ |
$5$ |
\( 2 \cdot 13^{2} \cdot 19 \) |
\( - 2^{5} \cdot 13^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$9880$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4680$ |
$0.495540$ |
$-1/608$ |
$1.37833$ |
$3.33671$ |
$[1, 1, 0, -3, 2605]$ |
\(y^2+xy=x^3+x^2-3x+2605\) |
5.12.0.a.1, 65.24.0-5.a.1.1, 152.2.0.?, 760.24.1.?, 9880.48.1.? |
$[]$ |
6498.y2 |
6498x1 |
6498.y |
6498x |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$21600$ |
$1.234591$ |
$-1/608$ |
$1.37833$ |
$4.34242$ |
$[1, -1, 1, -68, 219719]$ |
\(y^2+xy+y=x^3-x^2-68x+219719\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 285.24.0.?, 760.24.1.?, $\ldots$ |
$[]$ |
7600.h2 |
7600p1 |
7600.h |
7600p |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 19 \) |
\( - 2^{17} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1.727530274$ |
$1$ |
|
$2$ |
$3840$ |
$0.710932$ |
$-1/608$ |
$1.37833$ |
$3.56307$ |
$[0, -1, 0, -8, -9488]$ |
\(y^2=x^3-x^2-8x-9488\) |
5.12.0.a.1, 20.24.0-5.a.1.1, 152.2.0.?, 760.48.1.? |
$[(42, 250)]$ |
8550.u2 |
8550z1 |
8550.u |
8550z |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$0.966423628$ |
$1$ |
|
$4$ |
$4800$ |
$0.567091$ |
$-1/608$ |
$1.37833$ |
$3.32607$ |
$[1, -1, 1, -5, -4003]$ |
\(y^2+xy+y=x^3-x^2-5x-4003\) |
5.12.0.a.1, 15.24.0-5.a.1.2, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[(19, 40)]$ |
10944.a2 |
10944ce1 |
10944.a |
10944ce |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{23} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$0.751982260$ |
$1$ |
|
$4$ |
$11520$ |
$0.802093$ |
$-1/608$ |
$1.37833$ |
$3.54100$ |
$[0, 0, 0, -12, 16400]$ |
\(y^2=x^3-12x+16400\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 760.24.1.?, 1140.24.0.?, $\ldots$ |
$[(2, 128)]$ |
10944.d2 |
10944bl1 |
10944.d |
10944bl |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{23} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$2.013599764$ |
$1$ |
|
$2$ |
$11520$ |
$0.802093$ |
$-1/608$ |
$1.37833$ |
$3.54100$ |
$[0, 0, 0, -12, -16400]$ |
\(y^2=x^3-12x-16400\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 570.24.0.?, 760.24.1.?, $\ldots$ |
$[(126, 1408)]$ |
10982.e2 |
10982c1 |
10982.e |
10982c |
$2$ |
$5$ |
\( 2 \cdot 17^{2} \cdot 19 \) |
\( - 2^{5} \cdot 17^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12920$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$10080$ |
$0.629672$ |
$-1/608$ |
$1.37833$ |
$3.31730$ |
$[1, 0, 0, -6, 5828]$ |
\(y^2+xy=x^3-6x+5828\) |
5.12.0.a.1, 85.24.0.?, 152.2.0.?, 760.24.1.?, 12920.48.1.? |
$[]$ |
14896.k2 |
14896z1 |
14896.k |
14896z |
$2$ |
$5$ |
\( 2^{4} \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 7^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5320$ |
$48$ |
$1$ |
$1.609712757$ |
$1$ |
|
$2$ |
$15840$ |
$0.879168$ |
$-1/608$ |
$1.37833$ |
$3.52364$ |
$[0, -1, 0, -16, 26048]$ |
\(y^2=x^3-x^2-16x+26048\) |
5.12.0.a.1, 140.24.0.?, 152.2.0.?, 760.24.1.?, 5320.48.1.? |
$[(-8, 160)]$ |
16758.a2 |
16758o1 |
16758.a |
16758o |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$19800$ |
$0.735327$ |
$-1/608$ |
$1.37833$ |
$3.30351$ |
$[1, -1, 0, -9, 10989]$ |
\(y^2+xy=x^3-x^2-9x+10989\) |
5.12.0.a.1, 105.24.0.?, 152.2.0.?, 760.24.1.?, 15960.48.1.? |
$[]$ |
18050.n2 |
18050u1 |
18050.n |
18050u |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 5^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1.108696675$ |
$1$ |
|
$4$ |
$57600$ |
$1.490004$ |
$-1/608$ |
$1.37833$ |
$4.20249$ |
$[1, 1, 1, -188, -1017219]$ |
\(y^2+xy+y=x^3+x^2-188x-1017219\) |
5.12.0.a.1, 40.24.0-5.a.1.8, 95.24.0.?, 152.2.0.?, 760.48.1.? |
$[(435, 8807)]$ |
20102.p2 |
20102s1 |
20102.p |
20102s |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 23^{2} \) |
\( - 2^{5} \cdot 19 \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$17480$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$25300$ |
$0.780813$ |
$-1/608$ |
$1.37833$ |
$3.29794$ |
$[1, 1, 1, -11, -14439]$ |
\(y^2+xy+y=x^3+x^2-11x-14439\) |
5.12.0.a.1, 115.24.0.?, 152.2.0.?, 760.24.1.?, 17480.48.1.? |
$[]$ |
23104.w2 |
23104r1 |
23104.w |
23104r |
$2$ |
$5$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{23} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.725006$ |
$-1/608$ |
$1.37833$ |
$4.37990$ |
$[0, -1, 0, -481, -4166047]$ |
\(y^2=x^3-x^2-481x-4166047\) |
5.12.0.a.1, 10.24.0-5.a.1.1, 152.2.0.?, 760.48.1.? |
$[]$ |
23104.bo2 |
23104bs1 |
23104.bo |
23104bs |
$2$ |
$5$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{23} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$2.836430269$ |
$1$ |
|
$2$ |
$138240$ |
$1.725006$ |
$-1/608$ |
$1.37833$ |
$4.37990$ |
$[0, 1, 0, -481, 4166047]$ |
\(y^2=x^3+x^2-481x+4166047\) |
5.12.0.a.1, 20.24.0-5.a.1.4, 152.2.0.?, 760.48.1.? |
$[(183, 3200)]$ |
30400.o2 |
30400l1 |
30400.o |
30400l |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{23} \cdot 5^{6} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1.241614723$ |
$1$ |
|
$12$ |
$30720$ |
$1.057505$ |
$-1/608$ |
$1.37833$ |
$3.48745$ |
$[0, -1, 0, -33, 75937]$ |
\(y^2=x^3-x^2-33x+75937\) |
5.12.0.a.1, 40.24.0-5.a.1.4, 152.2.0.?, 190.24.0.?, 760.48.1.? |
$[(217, 3200), (-39, 128)]$ |
30400.bn2 |
30400bf1 |
30400.bn |
30400bf |
$2$ |
$5$ |
\( 2^{6} \cdot 5^{2} \cdot 19 \) |
\( - 2^{23} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.057505$ |
$-1/608$ |
$1.37833$ |
$3.48745$ |
$[0, 1, 0, -33, -75937]$ |
\(y^2=x^3+x^2-33x-75937\) |
5.12.0.a.1, 40.24.0-5.a.1.2, 152.2.0.?, 380.24.0.?, 760.48.1.? |
$[]$ |
31958.d2 |
31958g1 |
31958.d |
31958g |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 29^{2} \) |
\( - 2^{5} \cdot 19 \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$22040$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$49000$ |
$0.896713$ |
$-1/608$ |
$1.37833$ |
$3.28462$ |
$[1, 0, 1, -18, 28932]$ |
\(y^2+xy+y=x^3-18x+28932\) |
5.12.0.a.1, 145.24.0.?, 152.2.0.?, 760.24.1.?, 22040.48.1.? |
$[]$ |
35378.c2 |
35378g1 |
35378.c |
35378g |
$2$ |
$5$ |
\( 2 \cdot 7^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 7^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5320$ |
$48$ |
$1$ |
$3.174250647$ |
$1$ |
|
$0$ |
$237600$ |
$1.658239$ |
$-1/608$ |
$1.37833$ |
$4.12523$ |
$[1, 1, 0, -368, 2790880]$ |
\(y^2+xy=x^3+x^2-368x+2790880\) |
5.12.0.a.1, 152.2.0.?, 280.24.0.?, 665.24.0.?, 760.24.1.?, $\ldots$ |
$[(315/2, 14125/2)]$ |
36518.e2 |
36518d1 |
36518.e |
36518d |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 31^{2} \) |
\( - 2^{5} \cdot 19 \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$23560$ |
$48$ |
$1$ |
$1.892769227$ |
$1$ |
|
$2$ |
$57600$ |
$0.930059$ |
$-1/608$ |
$1.37833$ |
$3.28101$ |
$[1, 0, 0, -20, -35344]$ |
\(y^2+xy=x^3-20x-35344\) |
5.12.0.a.1, 152.2.0.?, 155.24.0.?, 760.24.1.?, 23560.48.1.? |
$[(452, 9384)]$ |
36784.ba2 |
36784u1 |
36784.ba |
36784u |
$2$ |
$5$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{17} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8360$ |
$48$ |
$1$ |
$2.131171810$ |
$1$ |
|
$2$ |
$67200$ |
$1.105160$ |
$-1/608$ |
$1.37833$ |
$3.47861$ |
$[0, 1, 0, -40, 101044]$ |
\(y^2=x^3+x^2-40x+101044\) |
5.12.0.a.1, 152.2.0.?, 220.24.0.?, 760.24.1.?, 8360.48.1.? |
$[(51, 484)]$ |
41382.cu2 |
41382ct1 |
41382.cu |
41382ct |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$25080$ |
$48$ |
$1$ |
$1.600690941$ |
$1$ |
|
$2$ |
$84000$ |
$0.961319$ |
$-1/608$ |
$1.37833$ |
$3.27770$ |
$[1, -1, 1, -23, 42639]$ |
\(y^2+xy+y=x^3-x^2-23x+42639\) |
5.12.0.a.1, 152.2.0.?, 165.24.0.?, 760.24.1.?, 25080.48.1.? |
$[(69, 570)]$ |
46550.o2 |
46550v1 |
46550.o |
46550v |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 5^{6} \cdot 7^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5320$ |
$48$ |
$1$ |
$4.403987237$ |
$1$ |
|
$2$ |
$52800$ |
$0.990740$ |
$-1/608$ |
$1.37833$ |
$3.27466$ |
$[1, 1, 0, -25, -50875]$ |
\(y^2+xy=x^3+x^2-25x-50875\) |
5.12.0.a.1, 35.24.0-5.a.1.1, 152.2.0.?, 760.24.1.?, 5320.48.1.? |
$[(385, 7370)]$ |
51376.u2 |
51376o1 |
51376.u |
51376o |
$2$ |
$5$ |
\( 2^{4} \cdot 13^{2} \cdot 19 \) |
\( - 2^{17} \cdot 13^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$9880$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$112320$ |
$1.188688$ |
$-1/608$ |
$1.37833$ |
$3.46387$ |
$[0, 1, 0, -56, -166828]$ |
\(y^2=x^3+x^2-56x-166828\) |
5.12.0.a.1, 152.2.0.?, 260.24.0.?, 760.24.1.?, 9880.48.1.? |
$[]$ |
51984.cr2 |
51984cy1 |
51984.cr |
51984cy |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{17} \cdot 3^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$518400$ |
$1.927738$ |
$-1/608$ |
$1.37833$ |
$4.27685$ |
$[0, 0, 0, -1083, -14060950]$ |
\(y^2=x^3-1083x-14060950\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 760.24.1.?, 1140.24.0.?, $\ldots$ |
$[]$ |
52022.c2 |
52022f1 |
52022.c |
52022f |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 37^{2} \) |
\( - 2^{5} \cdot 19 \cdot 37^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$28120$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.018524$ |
$-1/608$ |
$1.37833$ |
$3.27185$ |
$[1, 1, 0, -28, 60080]$ |
\(y^2+xy=x^3+x^2-28x+60080\) |
5.12.0.a.1, 152.2.0.?, 185.24.0.?, 760.24.1.?, 28120.48.1.? |
$[]$ |
57798.z2 |
57798bu1 |
57798.z |
57798bu |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 13^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$29640$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$140400$ |
$1.044846$ |
$-1/608$ |
$1.37833$ |
$3.26924$ |
$[1, -1, 1, -32, -70365]$ |
\(y^2+xy+y=x^3-x^2-32x-70365\) |
5.12.0.a.1, 152.2.0.?, 195.24.0.?, 760.24.1.?, 29640.48.1.? |
$[]$ |
59584.y2 |
59584s1 |
59584.y |
59584s |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{23} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$126720$ |
$1.225742$ |
$-1/608$ |
$1.37833$ |
$3.45762$ |
$[0, -1, 0, -65, -208319]$ |
\(y^2=x^3-x^2-65x-208319\) |
5.12.0.a.1, 152.2.0.?, 280.24.0.?, 760.24.1.?, 1330.24.0.?, $\ldots$ |
$[]$ |
59584.cd2 |
59584cx1 |
59584.cd |
59584cx |
$2$ |
$5$ |
\( 2^{6} \cdot 7^{2} \cdot 19 \) |
\( - 2^{23} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$5320$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$126720$ |
$1.225742$ |
$-1/608$ |
$1.37833$ |
$3.45762$ |
$[0, 1, 0, -65, 208319]$ |
\(y^2=x^3+x^2-65x+208319\) |
5.12.0.a.1, 152.2.0.?, 280.24.0.?, 760.24.1.?, 2660.24.0.?, $\ldots$ |
$[]$ |
63878.g2 |
63878g1 |
63878.g |
63878g |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 41^{2} \) |
\( - 2^{5} \cdot 19 \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$31160$ |
$48$ |
$1$ |
$0.867238794$ |
$1$ |
|
$4$ |
$136000$ |
$1.069851$ |
$-1/608$ |
$1.37833$ |
$3.26681$ |
$[1, 0, 0, -35, 81761]$ |
\(y^2+xy=x^3-35x+81761\) |
5.12.0.a.1, 152.2.0.?, 205.24.0.?, 760.24.1.?, 31160.48.1.? |
$[(140, 1611)]$ |
68400.fp2 |
68400fm1 |
68400.fp |
68400fm |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.260239$ |
$-1/608$ |
$1.37833$ |
$3.45195$ |
$[0, 0, 0, -75, 256250]$ |
\(y^2=x^3-75x+256250\) |
5.12.0.a.1, 60.24.0-5.a.1.1, 152.2.0.?, 760.24.1.?, 2280.48.1.? |
$[]$ |
70262.c2 |
70262b1 |
70262.c |
70262b |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 43^{2} \) |
\( - 2^{5} \cdot 19 \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$32680$ |
$48$ |
$1$ |
$9.644253414$ |
$1$ |
|
$0$ |
$161280$ |
$1.093666$ |
$-1/608$ |
$1.37833$ |
$3.26453$ |
$[1, 0, 1, -39, -94326]$ |
\(y^2+xy+y=x^3-39x-94326\) |
5.12.0.a.1, 152.2.0.?, 215.24.0.?, 760.24.1.?, 32680.48.1.? |
$[(632278/33, 492269432/33)]$ |
83942.k2 |
83942l1 |
83942.k |
83942l |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 47^{2} \) |
\( - 2^{5} \cdot 19 \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$35720$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$206080$ |
$1.138140$ |
$-1/608$ |
$1.37833$ |
$3.26038$ |
$[1, 1, 1, -46, -123189]$ |
\(y^2+xy+y=x^3+x^2-46x-123189\) |
5.12.0.a.1, 152.2.0.?, 235.24.0.?, 760.24.1.?, 35720.48.1.? |
$[]$ |
87362.bk2 |
87362bm1 |
87362.bk |
87362bm |
$2$ |
$5$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 11^{6} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8360$ |
$48$ |
$1$ |
$1.191586162$ |
$1$ |
|
$8$ |
$1008000$ |
$1.884233$ |
$-1/608$ |
$1.37833$ |
$4.03583$ |
$[1, 0, 0, -910, 10830436]$ |
\(y^2+xy=x^3-910x+10830436\) |
5.12.0.a.1, 152.2.0.?, 440.24.0.?, 760.24.1.?, 1045.24.0.?, $\ldots$ |
$[(1968, 86378), (-198, 1904)]$ |
87856.j2 |
87856q1 |
87856.j |
87856q |
$2$ |
$5$ |
\( 2^{4} \cdot 17^{2} \cdot 19 \) |
\( - 2^{17} \cdot 17^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$12920$ |
$48$ |
$1$ |
$7.764986874$ |
$1$ |
|
$0$ |
$241920$ |
$1.322819$ |
$-1/608$ |
$1.37833$ |
$3.44201$ |
$[0, -1, 0, -96, -372992]$ |
\(y^2=x^3-x^2-96x-372992\) |
5.12.0.a.1, 152.2.0.?, 340.24.0.?, 760.24.1.?, 12920.48.1.? |
$[(16432/11, 1928800/11)]$ |
98838.a2 |
98838o1 |
98838.a |
98838o |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{6} \cdot 17^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$302400$ |
$1.178978$ |
$-1/608$ |
$1.37833$ |
$3.25668$ |
$[1, -1, 0, -54, -157356]$ |
\(y^2+xy=x^3-x^2-54x-157356\) |
5.12.0.a.1, 152.2.0.?, 255.24.0.?, 760.24.1.?, 38760.48.1.? |
$[]$ |
106742.d2 |
106742c1 |
106742.d |
106742c |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 53^{2} \) |
\( - 2^{5} \cdot 19 \cdot 53^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$40280$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$303160$ |
$1.198212$ |
$-1/608$ |
$1.37833$ |
$3.25497$ |
$[1, 0, 1, -59, 176614]$ |
\(y^2+xy+y=x^3-59x+176614\) |
5.12.0.a.1, 152.2.0.?, 265.24.0.?, 760.24.1.?, 40280.48.1.? |
$[]$ |
114950.db2 |
114950ct1 |
114950.db |
114950ct |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{5} \cdot 5^{6} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8360$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$224000$ |
$1.216732$ |
$-1/608$ |
$1.37833$ |
$3.25335$ |
$[1, 0, 0, -63, -197383]$ |
\(y^2+xy=x^3-63x-197383\) |
5.12.0.a.1, 55.24.0-5.a.1.2, 152.2.0.?, 760.24.1.?, 8360.48.1.? |
$[]$ |
122018.bg2 |
122018bf1 |
122018.bg |
122018bf |
$2$ |
$5$ |
\( 2 \cdot 13^{2} \cdot 19^{2} \) |
\( - 2^{5} \cdot 13^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$9880$ |
$48$ |
$1$ |
$5.114357441$ |
$1$ |
|
$2$ |
$1684800$ |
$1.967760$ |
$-1/608$ |
$1.37833$ |
$4.00628$ |
$[1, 0, 0, -1271, -17877367]$ |
\(y^2+xy=x^3-1271x-17877367\) |
5.12.0.a.1, 152.2.0.?, 520.24.0.?, 760.24.1.?, 1235.24.0.?, $\ldots$ |
$[(15002, 1829989)]$ |
132278.b2 |
132278f1 |
132278.b |
132278f |
$2$ |
$5$ |
\( 2 \cdot 19 \cdot 59^{2} \) |
\( - 2^{5} \cdot 19 \cdot 59^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$44840$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$391500$ |
$1.251835$ |
$-1/608$ |
$1.37833$ |
$3.25034$ |
$[1, 1, 0, -72, -243680]$ |
\(y^2+xy=x^3+x^2-72x-243680\) |
5.12.0.a.1, 152.2.0.?, 295.24.0.?, 760.24.1.?, 44840.48.1.? |
$[]$ |
134064.e2 |
134064c1 |
134064.e |
134064c |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{17} \cdot 3^{6} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$15960$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$475200$ |
$1.428474$ |
$-1/608$ |
$1.37833$ |
$3.42619$ |
$[0, 0, 0, -147, -703150]$ |
\(y^2=x^3-147x-703150\) |
5.12.0.a.1, 152.2.0.?, 420.24.0.?, 760.24.1.?, 15960.48.1.? |
$[]$ |