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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)