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 |
16830.d2 |
16830e2 |
16830.d |
16830e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$16.70636826$ |
$1$ |
|
$0$ |
$1497600$ |
$2.868240$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.90657$ |
$[1, -1, 0, 4358190, 1312558676]$ |
\(y^2+xy=x^3-x^2+4358190x+1312558676\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[(17638571/19, 73978866063/19)]$ |
16830.ca2 |
16830bw2 |
16830.ca |
16830bw |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$0.433092692$ |
$1$ |
|
$8$ |
$499200$ |
$2.318932$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.22917$ |
$[1, -1, 1, 484243, -48774699]$ |
\(y^2+xy+y=x^3-x^2+484243x-48774699\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[(239, 8856)]$ |
84150.dl2 |
84150o2 |
84150.dl |
84150o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{7} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11980800$ |
$3.123650$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.33857$ |
$[1, -1, 0, 12106083, -6084731259]$ |
\(y^2+xy=x^3-x^2+12106083x-6084731259\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[]$ |
84150.gq2 |
84150eb2 |
84150.gq |
84150eb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$5.749786666$ |
$1$ |
|
$2$ |
$35942400$ |
$3.672958$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.91983$ |
$[1, -1, 1, 108954745, 164178789247]$ |
\(y^2+xy+y=x^3-x^2+108954745x+164178789247\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[(6179, 1032910)]$ |
134640.cr2 |
134640ef2 |
134640.cr |
134640ef |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{25} \cdot 3^{9} \cdot 5 \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$11.48343693$ |
$1$ |
|
$1$ |
$35942400$ |
$3.561386$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.57088$ |
$[0, 0, 0, 69731037, -84073486302]$ |
\(y^2=x^3+69731037x-84073486302\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[(8813599/7, 26193547358/7)]$ |
134640.fs2 |
134640dk2 |
134640.fs |
134640dk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{25} \cdot 3^{3} \cdot 5 \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$11980800$ |
$3.012081$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.01275$ |
$[0, 0, 0, 7747893, 3113832826]$ |
\(y^2=x^3+7747893x+3113832826\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[]$ |
185130.cv2 |
185130ff2 |
185130.cv |
185130ff |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 11^{16} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$34.58032019$ |
$1$ |
|
$0$ |
$59904000$ |
$3.517879$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.38157$ |
$[1, -1, 0, 58593441, 64743343693]$ |
\(y^2+xy=x^3-x^2+58593441x+64743343693\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[(928754056212381/165377, 28960084301903147906905/165377)]$ |
185130.ee2 |
185130co2 |
185130.ee |
185130co |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 11^{16} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$179712000$ |
$4.067184$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.92504$ |
$[1, -1, 1, 527340967, -1748597620679]$ |
\(y^2+xy+y=x^3-x^2+527340967x-1748597620679\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[]$ |
286110.dn2 |
286110dn2 |
286110.dn |
286110dn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 11^{10} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$22.04619677$ |
$1$ |
|
$0$ |
$431308800$ |
$4.284843$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.92763$ |
$[1, -1, 0, 1259516856, 6453638842688]$ |
\(y^2+xy=x^3-x^2+1259516856x+6453638842688\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[(90047968151/1763, 44860807848867882/1763)]$ |
286110.fi2 |
286110fi2 |
286110.fi |
286110fi |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 5 \cdot 11^{10} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$22440$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$143769600$ |
$3.735538$ |
$465104823145335330957/307032707468861440$ |
$1.07652$ |
$5.40299$ |
$[1, -1, 1, 139946317, -239070309613]$ |
\(y^2+xy+y=x^3-x^2+139946317x-239070309613\) |
2.3.0.a.1, 120.6.0.?, 2244.6.0.?, 7480.6.0.?, 22440.12.0.? |
$[]$ |