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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 331056.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331056.c1 | 331056c1 | \([0, 0, 0, 83853, 59296050]\) | \(101871/2432\) | \(-1556655563462934528\) | \([]\) | \(7096320\) | \(2.1710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331056.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 331056.c do not have complex multiplication.Modular form 331056.2.a.c
sage: E.q_eigenform(10)