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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 215475.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215475.c1 | 215475e1 | \([0, -1, 1, -498, 10298]\) | \(-49836032/132651\) | \(-36429280875\) | \([]\) | \(266112\) | \(0.71405\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215475.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 215475.c do not have complex multiplication.Modular form 215475.2.a.c
sage: E.q_eigenform(10)