↑

Properties

Label 477950.ci
Number of curves $1$
Conductor $477950$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
Copy content sage:E = EllipticCurve("ci1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 477950.ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 477950.ci do not have complex multiplication.

Modular form 477950.2.a.ci

Copy content sage:E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} - 2 q^{7} + q^{8} - 2 q^{9} - q^{12} + 2 q^{13} - 2 q^{14} + q^{16} - q^{17} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 477950.ci

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
477950.ci1 477950ci1 \([1, 1, 1, -83075638, 291636468531]\) \(-3665123505412225/3272081408\) \(-56608318469120000000000\) \([]\) \(61947600\) \(3.2907\) \(\Gamma_0(N)\)-optimal