Properties

Label 54208ca
Number of curves $1$
Conductor $54208$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ca1")
 
E.isogeny_class()
 

Elliptic curves in class 54208ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.bd1 54208ca1 \([0, -1, 0, -10325, 449869]\) \(-4194304/539\) \(-15644612673536\) \([]\) \(92160\) \(1.2653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208ca1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54208ca do not have complex multiplication.

Modular form 54208.2.a.ca

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} - 2 q^{9} - 4 q^{13} - q^{15} + 6 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display