| 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 |
| 4641.d2 |
4641g2 |
4641.d |
4641g |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$0.176736580$ |
$1$ |
|
$12$ |
$4480$ |
$0.595221$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.62741$ |
$[1, 0, 0, -370, 5141]$ |
\(y^2+xy=x^3-370x+5141\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(5, 56)]$ |
| 13923.k2 |
13923l2 |
13923.k |
13923l |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 3^{16} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$35840$ |
$1.144527$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.90060$ |
$[1, -1, 0, -3330, -138807]$ |
\(y^2+xy=x^3-x^2-3330x-138807\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 32487.c2 |
32487b2 |
32487.c |
32487b |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 3^{10} \cdot 7^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.568176$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.07183$ |
$[1, 1, 1, -18131, -1781494]$ |
\(y^2+xy+y=x^3+x^2-18131x-1781494\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 60333.n2 |
60333l2 |
60333.n |
60333l |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 17 \) |
\( - 3^{10} \cdot 7^{2} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1.935291100$ |
$1$ |
|
$2$ |
$752640$ |
$1.877695$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.18026$ |
$[1, 0, 1, -62534, 11357309]$ |
\(y^2+xy+y=x^3-62534x+11357309\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(417, 7396)]$ |
| 74256.b2 |
74256bw2 |
74256.b |
74256bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$286720$ |
$1.288368$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.47231$ |
$[0, -1, 0, -5920, -329024]$ |
\(y^2=x^3-x^2-5920x-329024\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 78897.d2 |
78897b2 |
78897.d |
78897b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \) |
\( - 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.011826$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.22356$ |
$[1, 1, 1, -106936, 25364666]$ |
\(y^2+xy+y=x^3+x^2-106936x+25364666\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 97461.p2 |
97461n2 |
97461.p |
97461n |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( - 3^{16} \cdot 7^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1720320$ |
$2.117481$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.25623$ |
$[1, -1, 0, -163179, 47937154]$ |
\(y^2+xy=x^3-x^2-163179x+47937154\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 116025.bh2 |
116025c2 |
116025.bh |
116025c |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 3^{10} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$2.120567853$ |
$1$ |
|
$4$ |
$358400$ |
$1.399940$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.45423$ |
$[1, 1, 0, -9250, 642625]$ |
\(y^2+xy=x^3+x^2-9250x+642625\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(-40, 995)]$ |
| 180999.d2 |
180999d2 |
180999.d |
180999d |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \) |
\( - 3^{16} \cdot 7^{2} \cdot 13^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$8.213724818$ |
$1$ |
|
$10$ |
$6021120$ |
$2.427002$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.34540$ |
$[1, -1, 1, -562802, -306647350]$ |
\(y^2+xy+y=x^3-x^2-562802x-306647350\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(1830, 68290), (946, 2146)]$ |
| 222768.fz2 |
222768cl2 |
222768.fz |
222768cl |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{16} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2293760$ |
$1.837673$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.69782$ |
$[0, 0, 0, -53283, 8936930]$ |
\(y^2=x^3-53283x+8936930\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 236691.o2 |
236691o2 |
236691.o |
236691o |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \) |
\( - 3^{16} \cdot 7^{2} \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$3.831415564$ |
$1$ |
|
$4$ |
$10321920$ |
$2.561134$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.38127$ |
$[1, -1, 0, -962424, -685808411]$ |
\(y^2+xy=x^3-x^2-962424x-685808411\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(2172, 85325)]$ |
| 297024.dw2 |
297024dw2 |
297024.dw |
297024dw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{18} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$3.539713387$ |
$1$ |
|
$3$ |
$2293760$ |
$1.634941$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.42035$ |
$[0, -1, 0, -23681, 2655873]$ |
\(y^2=x^3-x^2-23681x+2655873\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(-143, 1760)]$ |
| 297024.hr2 |
297024hr2 |
297024.hr |
297024hr |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{18} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2293760$ |
$1.634941$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.42035$ |
$[0, 1, 0, -23681, -2655873]$ |
\(y^2=x^3+x^2-23681x-2655873\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 348075.n2 |
348075n2 |
348075.n |
348075n |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( - 3^{16} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$4.964957480$ |
$1$ |
|
$2$ |
$2867200$ |
$1.949245$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.67342$ |
$[1, -1, 1, -83255, -17434128]$ |
\(y^2+xy+y=x^3-x^2-83255x-17434128\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(2394, 114990)]$ |
| 422331.bj2 |
422331bj2 |
422331.bj |
422331bj |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{10} \cdot 7^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36126720$ |
$2.850651$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.45363$ |
$[1, 1, 0, -3064142, -3898621215]$ |
\(y^2+xy=x^3+x^2-3064142x-3898621215\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
