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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 5328.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5328.f1 | 5328n1 | \([0, 0, 0, -411, -3254]\) | \(-69426531/1184\) | \(-130940928\) | \([]\) | \(1920\) | \(0.35595\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5328.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5328.f do not have complex multiplication.Modular form 5328.2.a.f
sage: E.q_eigenform(10)