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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 5776.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5776.f1 | 5776n1 | \([0, -1, 0, -6, 7]\) | \(4864\) | \(5776\) | \([]\) | \(216\) | \(-0.56285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5776.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5776.f do not have complex multiplication.Modular form 5776.2.a.f
sage: E.q_eigenform(10)