Properties

Label 331056ct
Number of curves $1$
Conductor $331056$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ct1")
 
E.isogeny_class()
 

Elliptic curves in class 331056ct

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331056.ct1 331056ct1 \([0, 0, 0, -778635, 271180602]\) \(-81563625/2432\) \(-1556655563462934528\) \([]\) \(5588352\) \(2.2690\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331056ct1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331056ct do not have complex multiplication.

Modular form 331056.2.a.ct

sage: E.q_eigenform(10)
 
\(q - 7 q^{13} - 7 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display