| 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 |
| 1005.b2 |
1005a2 |
1005.b |
1005a |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 67 \) |
\( - 3^{10} \cdot 5^{3} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$0.699994$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.57247$ |
$[1, 1, 0, 328, -8319]$ |
\(y^2+xy=x^3+x^2+328x-8319\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 3015.a2 |
3015a2 |
3015.a |
3015a |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 67 \) |
\( - 3^{16} \cdot 5^{3} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$1.249300$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.76823$ |
$[1, -1, 1, 2947, 227562]$ |
\(y^2+xy+y=x^3-x^2+2947x+227562\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 5025.b2 |
5025e2 |
5025.b |
5025e |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{9} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$0.556763413$ |
$1$ |
|
$8$ |
$17280$ |
$1.504713$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.84206$ |
$[1, 0, 0, 8187, -1056258]$ |
\(y^2+xy=x^3+8187x-1056258\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(87, 519)]$ |
| 15075.l2 |
15075i2 |
15075.l |
15075i |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 67 \) |
\( - 3^{16} \cdot 5^{9} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$6.101204813$ |
$1$ |
|
$0$ |
$138240$ |
$2.054020$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.97429$ |
$[1, -1, 0, 73683, 28518966]$ |
\(y^2+xy=x^3-x^2+73683x+28518966\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(6213/4, 675597/4)]$ |
| 16080.u2 |
16080y2 |
16080.u |
16080y |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$0.504196029$ |
$1$ |
|
$9$ |
$46080$ |
$1.393141$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.12232$ |
$[0, 1, 0, 5240, 542900]$ |
\(y^2=x^3+x^2+5240x+542900\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(20, 810)]$ |
| 48240.n2 |
48240bp2 |
48240.n |
48240bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5^{3} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$368640$ |
$1.942448$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.31361$ |
$[0, 0, 0, 47157, -14611142]$ |
\(y^2=x^3+47157x-14611142\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 49245.x2 |
49245t2 |
49245.x |
49245t |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{3} \cdot 7^{6} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1.151364282$ |
$1$ |
|
$4$ |
$276480$ |
$1.672949$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.00606$ |
$[1, 0, 1, 16046, 2901581]$ |
\(y^2+xy+y=x^3+16046x+2901581\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(-59, 1352)]$ |
| 64320.i2 |
64320bo2 |
64320.i |
64320bo |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{3} \cdot 67^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$6.890234960$ |
$1$ |
|
$11$ |
$368640$ |
$1.739716$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.98180$ |
$[0, -1, 0, 20959, 4322241]$ |
\(y^2=x^3-x^2+20959x+4322241\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(13, 2144), (23693, 3646944)]$ |
| 64320.bw2 |
64320ba2 |
64320.bw |
64320ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 67 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{3} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$3.206839943$ |
$1$ |
|
$5$ |
$368640$ |
$1.739716$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.98180$ |
$[0, 1, 0, 20959, -4322241]$ |
\(y^2=x^3+x^2+20959x-4322241\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(157, 1692)]$ |
| 67335.e2 |
67335h2 |
67335.e |
67335h |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 67^{2} \) |
\( - 3^{10} \cdot 5^{3} \cdot 67^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$3.866629918$ |
$1$ |
|
$0$ |
$3231360$ |
$2.802341$ |
$3883959939959/33133870125$ |
$0.95785$ |
$5.11237$ |
$[1, 0, 0, 1470054, 2543230665]$ |
\(y^2+xy=x^3+1470054x+2543230665\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(-849/2, 377925/2)]$ |
| 80400.u2 |
80400bp2 |
80400.u |
80400bp |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{9} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.197861$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.38988$ |
$[0, -1, 0, 130992, 67600512]$ |
\(y^2=x^3-x^2+130992x+67600512\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 121605.c2 |
121605g2 |
121605.c |
121605g |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{3} \cdot 11^{6} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$2.385998837$ |
$1$ |
|
$4$ |
$1036800$ |
$1.898941$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.92839$ |
$[1, 1, 1, 39625, 11270810]$ |
\(y^2+xy+y=x^3+x^2+39625x+11270810\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(-137, 1883)]$ |
| 147735.q2 |
147735i2 |
147735.q |
147735i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 3^{16} \cdot 5^{3} \cdot 7^{6} \cdot 67^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$2.752219798$ |
$1$ |
|
$16$ |
$2211840$ |
$2.222256$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.19009$ |
$[1, -1, 1, 144418, -78342694]$ |
\(y^2+xy+y=x^3-x^2+144418x-78342694\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(436, 7989), (501, 10684)]$ |
| 169845.f2 |
169845o2 |
169845.f |
169845o |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 13^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{3} \cdot 13^{6} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1555200$ |
$1.982470$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.90263$ |
$[1, 1, 1, 55344, -18553722]$ |
\(y^2+xy+y=x^3+x^2+55344x-18553722\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 192960.ei2 |
192960dn2 |
192960.ei |
192960dn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{18} \cdot 3^{16} \cdot 5^{3} \cdot 67^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$6.990334920$ |
$1$ |
|
$13$ |
$2949120$ |
$2.289021$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.16398$ |
$[0, 0, 0, 188628, 116889136]$ |
\(y^2=x^3+188628x+116889136\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(-163, 9045), (365, 15309)]$ |
| 192960.ej2 |
192960m2 |
192960.ej |
192960m |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 67 \) |
\( - 2^{18} \cdot 3^{16} \cdot 5^{3} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.289021$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.16398$ |
$[0, 0, 0, 188628, -116889136]$ |
\(y^2=x^3+188628x-116889136\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 202005.j2 |
202005j2 |
202005.j |
202005j |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 67^{2} \) |
\( - 3^{16} \cdot 5^{3} \cdot 67^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$25850880$ |
$3.351646$ |
$3883959939959/33133870125$ |
$0.95785$ |
$5.19220$ |
$[1, -1, 0, 13230486, -68667227955]$ |
\(y^2+xy=x^3-x^2+13230486x-68667227955\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 241200.dn2 |
241200dn2 |
241200.dn |
241200dn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 67 \) |
\( - 2^{12} \cdot 3^{16} \cdot 5^{9} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$8.058538993$ |
$1$ |
|
$1$ |
$8847360$ |
$2.747166$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.53261$ |
$[0, 0, 0, 1178925, -1826392750]$ |
\(y^2=x^3+1178925x-1826392750\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(23815/3, 3801250/3)]$ |
| 246225.r2 |
246225r2 |
246225.r |
246225r |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$2.332524089$ |
$1$ |
|
$4$ |
$6635520$ |
$2.477669$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.26457$ |
$[1, 1, 1, 401162, 362697656]$ |
\(y^2+xy+y=x^3+x^2+401162x+362697656\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(-106, 17913)]$ |
| 290445.e2 |
290445e2 |
290445.e |
290445e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 17^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{3} \cdot 17^{6} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3548160$ |
$2.116600$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.86413$ |
$[1, 0, 1, 94641, -41534093]$ |
\(y^2+xy+y=x^3+94641x-41534093\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 321600.cu2 |
321600cu2 |
321600.cu |
321600cu |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{9} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$17.82283696$ |
$1$ |
|
$1$ |
$8847360$ |
$2.544434$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.23794$ |
$[0, -1, 0, 523967, -541328063]$ |
\(y^2=x^3-x^2+523967x-541328063\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(541864687/129, 12616342994600/129)]$ |
| 321600.hb2 |
321600hb2 |
321600.hb |
321600hb |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 67 \) |
\( - 2^{18} \cdot 3^{10} \cdot 5^{9} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.544434$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.23794$ |
$[0, 1, 0, 523967, 541328063]$ |
\(y^2=x^3+x^2+523967x+541328063\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 336675.z2 |
336675z2 |
336675.z |
336675z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 67^{2} \) |
\( - 3^{10} \cdot 5^{9} \cdot 67^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77552640$ |
$3.607059$ |
$3883959939959/33133870125$ |
$0.95785$ |
$5.22462$ |
$[1, 1, 0, 36751350, 317903833125]$ |
\(y^2+xy=x^3+x^2+36751350x+317903833125\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[]$ |
| 362805.e2 |
362805e2 |
362805.e |
362805e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 19^{2} \cdot 67 \) |
\( - 3^{10} \cdot 5^{3} \cdot 19^{6} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$1.019784076$ |
$1$ |
|
$4$ |
$4976640$ |
$2.172215$ |
$3883959939959/33133870125$ |
$0.95785$ |
$3.84912$ |
$[1, 0, 0, 118220, 58006277]$ |
\(y^2+xy=x^3+118220x+58006277\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(164, 8963)]$ |
| 364815.z2 |
364815z2 |
364815.z |
364815z |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 11^{2} \cdot 67 \) |
\( - 3^{16} \cdot 5^{3} \cdot 11^{6} \cdot 67^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4020$ |
$12$ |
$0$ |
$10.38020325$ |
$1$ |
|
$0$ |
$8294400$ |
$2.448246$ |
$3883959939959/33133870125$ |
$0.95785$ |
$4.10609$ |
$[1, -1, 0, 356625, -303955250]$ |
\(y^2+xy=x^3-x^2+356625x-303955250\) |
2.3.0.a.1, 20.6.0.a.1, 804.6.0.?, 4020.12.0.? |
$[(347901/4, 204577915/4)]$ |
