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SageMath
E = EllipticCurve("ec1")
E.isogeny_class()
Elliptic curves in class 203280ec
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203280.q1 | 203280ec1 | \([0, -1, 0, -2581, 62185]\) | \(-4194304/1155\) | \(-523815156480\) | \([]\) | \(230400\) | \(0.96456\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203280ec1 has rank \(1\).
Complex multiplication
The elliptic curves in class 203280ec do not have complex multiplication.Modular form 203280.2.a.ec
sage: E.q_eigenform(10)