| 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 |
| 2760.c2 |
2760b1 |
2760.c |
2760b |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1344$ |
$0.275732$ |
$27871484/198375$ |
$0.87484$ |
$3.34461$ |
$[0, -1, 0, 64, 636]$ |
\(y^2=x^3-x^2+64x+636\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 5520.s2 |
5520f1 |
5520.s |
5520f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2688$ |
$0.275732$ |
$27871484/198375$ |
$0.87484$ |
$3.07554$ |
$[0, 1, 0, 64, -636]$ |
\(y^2=x^3+x^2+64x-636\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 8280.w2 |
8280w1 |
8280.w |
8280w |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.825038$ |
$27871484/198375$ |
$0.87484$ |
$3.66797$ |
$[0, 0, 0, 573, -17746]$ |
\(y^2=x^3+573x-17746\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 13800.m2 |
13800x1 |
13800.m |
13800x |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.027801550$ |
$1$ |
|
$3$ |
$32256$ |
$1.080452$ |
$27871484/198375$ |
$0.87484$ |
$3.79294$ |
$[0, 1, 0, 1592, 82688]$ |
\(y^2=x^3+x^2+1592x+82688\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(328, 6000)]$ |
| 16560.bb2 |
16560w1 |
16560.bb |
16560w |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.367184150$ |
$1$ |
|
$33$ |
$21504$ |
$0.825038$ |
$27871484/198375$ |
$0.87484$ |
$3.40626$ |
$[0, 0, 0, 573, 17746]$ |
\(y^2=x^3+573x+17746\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(-13, 90), (17, 180)]$ |
| 22080.t2 |
22080ce1 |
22080.t |
22080ce |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{16} \cdot 3 \cdot 5^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$0.920659784$ |
$1$ |
|
$5$ |
$21504$ |
$0.622306$ |
$27871484/198375$ |
$0.87484$ |
$3.06507$ |
$[0, -1, 0, 255, -5343]$ |
\(y^2=x^3-x^2+255x-5343\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(29, 160)]$ |
| 22080.dd2 |
22080bs1 |
22080.dd |
22080bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 23 \) |
\( - 2^{16} \cdot 3 \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$0.622306$ |
$27871484/198375$ |
$0.87484$ |
$3.06507$ |
$[0, 1, 0, 255, 5343]$ |
\(y^2=x^3+x^2+255x+5343\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 27600.bs2 |
27600k1 |
27600.bs |
27600k |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64512$ |
$1.080452$ |
$27871484/198375$ |
$0.87484$ |
$3.53583$ |
$[0, -1, 0, 1592, -82688]$ |
\(y^2=x^3-x^2+1592x-82688\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 41400.d2 |
41400p1 |
41400.d |
41400p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$3.253961851$ |
$1$ |
|
$3$ |
$258048$ |
$1.629757$ |
$27871484/198375$ |
$0.87484$ |
$4.02102$ |
$[0, 0, 0, 14325, -2218250]$ |
\(y^2=x^3+14325x-2218250\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(191, 2736)]$ |
| 63480.g2 |
63480e1 |
63480.g |
63480e |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$4.441513651$ |
$1$ |
|
$1$ |
$709632$ |
$1.843479$ |
$27871484/198375$ |
$0.87484$ |
$4.09751$ |
$[0, -1, 0, 33680, -8008100]$ |
\(y^2=x^3-x^2+33680x-8008100\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(4258/3, 287776/3)]$ |
| 66240.k2 |
66240fg1 |
66240.k |
66240fg |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.171612$ |
$27871484/198375$ |
$0.87484$ |
$3.35553$ |
$[0, 0, 0, 2292, 141968]$ |
\(y^2=x^3+2292x+141968\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 66240.cx2 |
66240bn1 |
66240.cx |
66240bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 23 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.171612$ |
$27871484/198375$ |
$0.87484$ |
$3.35553$ |
$[0, 0, 0, 2292, -141968]$ |
\(y^2=x^3+2292x-141968\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 82800.fm2 |
82800bb1 |
82800.fm |
82800bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.629757$ |
$27871484/198375$ |
$0.87484$ |
$3.77490$ |
$[0, 0, 0, 14325, 2218250]$ |
\(y^2=x^3+14325x+2218250\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 110400.l2 |
110400t1 |
110400.l |
110400t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3 \cdot 5^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$2.656637285$ |
$1$ |
|
$5$ |
$516096$ |
$1.427025$ |
$27871484/198375$ |
$0.87484$ |
$3.47186$ |
$[0, -1, 0, 6367, 655137]$ |
\(y^2=x^3-x^2+6367x+655137\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(-17, 736)]$ |
| 110400.ji2 |
110400ir1 |
110400.ji |
110400ir |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3 \cdot 5^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.427025$ |
$27871484/198375$ |
$0.87484$ |
$3.47186$ |
$[0, 1, 0, 6367, -655137]$ |
\(y^2=x^3+x^2+6367x-655137\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 126960.dg2 |
126960w1 |
126960.dg |
126960w |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1419264$ |
$1.843479$ |
$27871484/198375$ |
$0.87484$ |
$3.85583$ |
$[0, 1, 0, 33680, 8008100]$ |
\(y^2=x^3+x^2+33680x+8008100\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 135240.cx2 |
135240cc1 |
135240.cx |
135240cc |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$4.534183703$ |
$1$ |
|
$1$ |
$387072$ |
$1.248688$ |
$27871484/198375$ |
$0.87484$ |
$3.23110$ |
$[0, 1, 0, 3120, -224400]$ |
\(y^2=x^3+x^2+3120x-224400\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(1145/4, 38955/4)]$ |
| 190440.b2 |
190440h1 |
190440.b |
190440h |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5677056$ |
$2.392784$ |
$27871484/198375$ |
$0.87484$ |
$4.26944$ |
$[0, 0, 0, 303117, 215915582]$ |
\(y^2=x^3+303117x+215915582\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 270480.et2 |
270480et1 |
270480.et |
270480et |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.570333154$ |
$1$ |
|
$5$ |
$774144$ |
$1.248688$ |
$27871484/198375$ |
$0.87484$ |
$3.05204$ |
$[0, -1, 0, 3120, 224400]$ |
\(y^2=x^3-x^2+3120x+224400\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(5, 490)]$ |
| 317400.cz2 |
317400cz1 |
317400.cz |
317400cz |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 23^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{9} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$17031168$ |
$2.648197$ |
$27871484/198375$ |
$0.87484$ |
$4.33922$ |
$[0, 1, 0, 841992, -999328512]$ |
\(y^2=x^3+x^2+841992x-999328512\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 331200.r2 |
331200r1 |
331200.r |
331200r |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.576721223$ |
$1$ |
|
$5$ |
$4128768$ |
$1.976332$ |
$27871484/198375$ |
$0.87484$ |
$3.69038$ |
$[0, 0, 0, 57300, -17746000]$ |
\(y^2=x^3+57300x-17746000\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(280, 4500)]$ |
| 331200.qj2 |
331200qj1 |
331200.qj |
331200qj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 23 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{9} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.473268681$ |
$1$ |
|
$5$ |
$4128768$ |
$1.976332$ |
$27871484/198375$ |
$0.87484$ |
$3.69038$ |
$[0, 0, 0, 57300, 17746000]$ |
\(y^2=x^3+57300x+17746000\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(-30, 4000)]$ |
| 333960.e2 |
333960e1 |
333960.e |
333960e |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 11^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1451520$ |
$1.474680$ |
$27871484/198375$ |
$0.87484$ |
$3.21467$ |
$[0, -1, 0, 7704, -877380]$ |
\(y^2=x^3-x^2+7704x-877380\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 380880.dj2 |
380880dj1 |
380880.dj |
380880dj |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 23^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1.523493601$ |
$4$ |
$2$ |
$7$ |
$11354112$ |
$2.392784$ |
$27871484/198375$ |
$0.87484$ |
$4.03914$ |
$[0, 0, 0, 303117, -215915582]$ |
\(y^2=x^3+303117x-215915582\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[(713, 19044)]$ |
| 405720.do2 |
405720do1 |
405720.do |
405720do |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 7^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3096576$ |
$1.797993$ |
$27871484/198375$ |
$0.87484$ |
$3.46666$ |
$[0, 0, 0, 28077, 6086878]$ |
\(y^2=x^3+28077x+6086878\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
| 466440.q2 |
466440q1 |
466440.q |
466440q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 5^{3} \cdot 13^{6} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2760$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$1.558207$ |
$27871484/198375$ |
$0.87484$ |
$3.20918$ |
$[0, -1, 0, 10760, 1440412]$ |
\(y^2=x^3-x^2+10760x+1440412\) |
2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.? |
$[]$ |
