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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 283920f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
283920.f1 | 283920f1 | \([0, -1, 0, -12066656, -16631328000]\) | \(-58153757003329/2126250000\) | \(-7104296736875520000000\) | \([]\) | \(20966400\) | \(2.9642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 283920f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 283920f do not have complex multiplication.Modular form 283920.2.a.f
sage: E.q_eigenform(10)