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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
7770.m1 |
7770o1 |
7770.m |
7770o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$10360$ |
$2$ |
$0$ |
$0.644582921$ |
$1$ |
|
$4$ |
$12960$ |
$0.981423$ |
$64148915349791/978796224000$ |
$[1, 1, 1, 834, -46341]$ |
\(y^2+xy+y=x^3+x^2+834x-46341\) |
10360.2.0.? |
$[(61, 455)]$ |
23310.bb1 |
23310y1 |
23310.bb |
23310y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 3^{16} \cdot 5^{3} \cdot 7 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.530729$ |
$64148915349791/978796224000$ |
$[1, -1, 0, 7506, 1258708]$ |
\(y^2+xy=x^3-x^2+7506x+1258708\) |
10360.2.0.? |
$[]$ |
38850.bb1 |
38850bg1 |
38850.bb |
38850bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$0.618880830$ |
$1$ |
|
$4$ |
$311040$ |
$1.786142$ |
$64148915349791/978796224000$ |
$[1, 0, 1, 20849, -5834302]$ |
\(y^2+xy+y=x^3+20849x-5834302\) |
10360.2.0.? |
$[(172, 1601)]$ |
54390.cz1 |
54390dc1 |
54390.cz |
54390dc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 7^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$0.045524923$ |
$1$ |
|
$16$ |
$622080$ |
$1.954378$ |
$64148915349791/978796224000$ |
$[1, 0, 0, 40865, 16017497]$ |
\(y^2+xy=x^3+40865x+16017497\) |
10360.2.0.? |
$[(704, 19493)]$ |
62160.bz1 |
62160cg1 |
62160.bz |
62160cg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$0.522972488$ |
$1$ |
|
$4$ |
$311040$ |
$1.674570$ |
$64148915349791/978796224000$ |
$[0, 1, 0, 13344, 2992500]$ |
\(y^2=x^3+x^2+13344x+2992500\) |
10360.2.0.? |
$[(186, 3456)]$ |
116550.dz1 |
116550ej1 |
116550.dz |
116550ej |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 3^{16} \cdot 5^{9} \cdot 7 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.335449$ |
$64148915349791/978796224000$ |
$[1, -1, 1, 187645, 157526147]$ |
\(y^2+xy+y=x^3-x^2+187645x+157526147\) |
10360.2.0.? |
$[]$ |
163170.bp1 |
163170ex1 |
163170.bp |
163170ex |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{16} \cdot 5^{3} \cdot 7^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$6.323566344$ |
$1$ |
|
$2$ |
$4976640$ |
$2.503685$ |
$64148915349791/978796224000$ |
$[1, -1, 0, 367785, -432472419]$ |
\(y^2+xy=x^3-x^2+367785x-432472419\) |
10360.2.0.? |
$[(5875, 449259)]$ |
186480.da1 |
186480p1 |
186480.da |
186480p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{21} \cdot 3^{16} \cdot 5^{3} \cdot 7 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$2.223877$ |
$64148915349791/978796224000$ |
$[0, 0, 0, 120093, -80677406]$ |
\(y^2=x^3+120093x-80677406\) |
10360.2.0.? |
$[]$ |
248640.ce1 |
248640ce1 |
248640.ce |
248640ce |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{27} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 37 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$2.291050972$ |
$1$ |
|
$8$ |
$2488320$ |
$2.021145$ |
$64148915349791/978796224000$ |
$[0, -1, 0, 53375, 23886625]$ |
\(y^2=x^3-x^2+53375x+23886625\) |
10360.2.0.? |
$[(7285, 622080), (-5, 4860)]$ |
248640.ir1 |
248640ir1 |
248640.ir |
248640ir |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 37 \) |
\( - 2^{27} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$0.710058569$ |
$1$ |
|
$6$ |
$2488320$ |
$2.021145$ |
$64148915349791/978796224000$ |
$[0, 1, 0, 53375, -23886625]$ |
\(y^2=x^3+x^2+53375x-23886625\) |
10360.2.0.? |
$[(395, 7680)]$ |
271950.j1 |
271950j1 |
271950.j |
271950j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{9} \cdot 7^{7} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$3.241387497$ |
$1$ |
|
$2$ |
$14929920$ |
$2.759098$ |
$64148915349791/978796224000$ |
$[1, 1, 0, 1021625, 2002187125]$ |
\(y^2+xy=x^3+x^2+1021625x+2002187125\) |
10360.2.0.? |
$[(-935, 15655)]$ |
287490.u1 |
287490u1 |
287490.u |
287490u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{3} \cdot 7 \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$5.515241812$ |
$1$ |
|
$0$ |
$17729280$ |
$2.786884$ |
$64148915349791/978796224000$ |
$[1, 1, 0, 1141718, -2364427436]$ |
\(y^2+xy=x^3+x^2+1141718x-2364427436\) |
10360.2.0.? |
$[(7387/2, 614693/2)]$ |
310800.ds1 |
310800ds1 |
310800.ds |
310800ds |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{9} \cdot 7 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7464960$ |
$2.479290$ |
$64148915349791/978796224000$ |
$[0, -1, 0, 333592, 373395312]$ |
\(y^2=x^3-x^2+333592x+373395312\) |
10360.2.0.? |
$[]$ |
435120.ec1 |
435120ec1 |
435120.ec |
435120ec |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 37 \) |
\( - 2^{21} \cdot 3^{10} \cdot 5^{3} \cdot 7^{7} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14929920$ |
$2.647526$ |
$64148915349791/978796224000$ |
$[0, -1, 0, 653840, -1025119808]$ |
\(y^2=x^3-x^2+653840x-1025119808\) |
10360.2.0.? |
$[]$ |