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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 63580.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63580.f1 | 63580h1 | \([0, -1, 0, 380, 7400]\) | \(81807536/378125\) | \(-27975200000\) | \([]\) | \(43200\) | \(0.68694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63580.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63580.f do not have complex multiplication.Modular form 63580.2.a.f
sage: E.q_eigenform(10)