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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 5265.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5265.e1 | 5265b1 | \([1, -1, 1, -218, -1214]\) | \(-2146689/65\) | \(-34543665\) | \([]\) | \(1080\) | \(0.22420\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5265.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5265.e do not have complex multiplication.Modular form 5265.2.a.e
sage: E.q_eigenform(10)