| 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 |
| 17850.x1 |
17850z2 |
17850.x |
17850z |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$0.203304118$ |
$1$ |
|
$14$ |
$92160$ |
$1.525957$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.25397$ |
$[1, 0, 1, -22261, 555968]$ |
\(y^2+xy+y=x^3-22261x+555968\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-53, 1286)]$ |
| 17850.bf1 |
17850bm2 |
17850.bf |
17850bm |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$2.392713255$ |
$1$ |
|
$4$ |
$460800$ |
$2.330677$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.24037$ |
$[1, 1, 1, -556513, 69496031]$ |
\(y^2+xy+y=x^3+x^2-556513x+69496031\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(729, 6838)]$ |
| 53550.u1 |
53550cg2 |
53550.u |
53550cg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3686400$ |
$2.879982$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.31701$ |
$[1, -1, 0, -5008617, -1881401459]$ |
\(y^2+xy=x^3-x^2-5008617x-1881401459\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 53550.eg1 |
53550em2 |
53550.eg |
53550em |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$0.449421542$ |
$1$ |
|
$10$ |
$737280$ |
$2.075264$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.43014$ |
$[1, -1, 1, -200345, -15011143]$ |
\(y^2+xy+y=x^3-x^2-200345x-15011143\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(915, 23356)]$ |
| 124950.s1 |
124950br2 |
124950.s |
124950br |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$3.116878920$ |
$1$ |
|
$4$ |
$4423680$ |
$2.498913$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.54348$ |
$[1, 1, 0, -1090765, -191787875]$ |
\(y^2+xy=x^3+x^2-1090765x-191787875\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-190, 3035)]$ |
| 124950.hu1 |
124950ja2 |
124950.hu |
124950ja |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22118400$ |
$3.303631$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.36632$ |
$[1, 0, 0, -27269138, -23918946108]$ |
\(y^2+xy=x^3-27269138x-23918946108\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 142800.bv1 |
142800dg2 |
142800.bv |
142800dg |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.219105$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.20947$ |
$[0, -1, 0, -356168, -35581968]$ |
\(y^2=x^3-x^2-356168x-35581968\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 142800.ir1 |
142800i2 |
142800.ir |
142800i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.197712099$ |
$1$ |
|
$7$ |
$11059200$ |
$3.023823$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.02306$ |
$[0, 1, 0, -8904208, -4465554412]$ |
\(y^2=x^3+x^2-8904208x-4465554412\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(-958, 56448)]$ |
| 303450.n1 |
303450n2 |
303450.n |
303450n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 7^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26542080$ |
$2.942562$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.64586$ |
$[1, 1, 0, -6433290, 2737905300]$ |
\(y^2+xy=x^3+x^2-6433290x+2737905300\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 303450.gt1 |
303450gt2 |
303450.gt |
303450gt |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{9} \cdot 7^{8} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$0.603737411$ |
$1$ |
|
$8$ |
$132710400$ |
$3.747280$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.41087$ |
$[1, 0, 0, -160832263, 342559827017]$ |
\(y^2+xy=x^3-160832263x+342559827017\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(13352, 751949)]$ |
| 374850.fj1 |
374850fj2 |
374850.fj |
374850fj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{9} \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$176947200$ |
$3.852936$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.42057$ |
$[1, -1, 0, -245422242, 645811544916]$ |
\(y^2+xy=x^3-x^2-245422242x+645811544916\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 374850.nd1 |
374850nd2 |
374850.nd |
374850nd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 7^{14} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35389440$ |
$3.048218$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.66816$ |
$[1, -1, 1, -9816890, 5168455737]$ |
\(y^2+xy+y=x^3-x^2-9816890x+5168455737\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
| 428400.cp1 |
428400cp2 |
428400.cp |
428400cp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{3} \cdot 7^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$7.453281029$ |
$1$ |
|
$13$ |
$17694720$ |
$2.768410$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$4.36116$ |
$[0, 0, 0, -3205515, 963918650]$ |
\(y^2=x^3-3205515x+963918650\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[(229, 15552), (-905, 55890)]$ |
| 428400.jx1 |
428400jx2 |
428400.jx |
428400jx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{9} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$88473600$ |
$3.573128$ |
$9759322356711101/4572363442752$ |
$0.98898$ |
$5.10582$ |
$[0, 0, 0, -80137875, 120489831250]$ |
\(y^2=x^3-80137875x+120489831250\) |
2.3.0.a.1, 60.6.0.c.1, 170.6.0.?, 204.6.0.?, 1020.12.0.? |
$[]$ |
