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 |
9338.j1 |
9338i2 |
9338.j |
9338i |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29 \) |
\( 2 \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$35840$ |
$1.457895$ |
$545644947830040577/251340262104722$ |
$[1, 1, 1, -17024, 379087]$ |
\(y^2+xy+y=x^3+x^2-17024x+379087\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
65366.o1 |
65366u2 |
65366.o |
65366u |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 23 \cdot 29 \) |
\( 2 \cdot 7^{16} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$12.84544375$ |
$1$ |
|
$0$ |
$1720320$ |
$2.430851$ |
$545644947830040577/251340262104722$ |
$[1, 0, 0, -834177, -132529433]$ |
\(y^2+xy=x^3-834177x-132529433\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(1449181/36, 825508297/36)]$ |
74704.e1 |
74704t2 |
74704.e |
74704t |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{13} \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$0.751808796$ |
$1$ |
|
$19$ |
$860160$ |
$2.151043$ |
$545644947830040577/251340262104722$ |
$[0, 1, 0, -272384, -24806348]$ |
\(y^2=x^3+x^2-272384x-24806348\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(658, 9016), (-462, 1624)]$ |
84042.s1 |
84042j2 |
84042.s |
84042j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2 \cdot 3^{6} \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$2.007202$ |
$545644947830040577/251340262104722$ |
$[1, -1, 0, -153216, -10388570]$ |
\(y^2+xy=x^3-x^2-153216x-10388570\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
214774.p1 |
214774f2 |
214774.p |
214774f |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) |
\( 2 \cdot 7^{10} \cdot 23^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$11.13156615$ |
$1$ |
|
$0$ |
$18923520$ |
$3.025642$ |
$545644947830040577/251340262104722$ |
$[1, 1, 1, -9005707, -4702410761]$ |
\(y^2+xy+y=x^3+x^2-9005707x-4702410761\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(8050909/12, 22762459597/12)]$ |
233450.i1 |
233450i2 |
233450.i |
233450i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2 \cdot 5^{6} \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$0.889709502$ |
$1$ |
|
$8$ |
$4587520$ |
$2.262615$ |
$545644947830040577/251340262104722$ |
$[1, 0, 1, -425601, 48237098]$ |
\(y^2+xy+y=x^3-425601x+48237098\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(1592, 57566)]$ |
270802.a1 |
270802a2 |
270802.a |
270802a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 23 \cdot 29^{2} \) |
\( 2 \cdot 7^{10} \cdot 23^{2} \cdot 29^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$24.40394164$ |
$1$ |
|
$4$ |
$30105600$ |
$3.141544$ |
$545644947830040577/251340262104722$ |
$[1, 0, 1, -14317202, 9417363594]$ |
\(y^2+xy+y=x^3-14317202x+9417363594\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(-804, 143261), (35836/3, 3312335/3)]$ |
298816.j1 |
298816j2 |
298816.j |
298816j |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{19} \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6881280$ |
$2.497616$ |
$545644947830040577/251340262104722$ |
$[0, 1, 0, -1089537, 197361247]$ |
\(y^2=x^3+x^2-1089537x+197361247\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
298816.ch1 |
298816ch2 |
298816.ch |
298816ch |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 23 \cdot 29 \) |
\( 2^{19} \cdot 7^{10} \cdot 23^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$2.695749115$ |
$1$ |
|
$1$ |
$6881280$ |
$2.497616$ |
$545644947830040577/251340262104722$ |
$[0, -1, 0, -1089537, -197361247]$ |
\(y^2=x^3-x^2-1089537x-197361247\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[(32141/5, 2864736/5)]$ |