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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 38808.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38808.f1 | 38808y1 | \([0, 0, 0, -73502499, -242550002009]\) | \(-93303976999933696/2910897\) | \(-1370114017631107056\) | \([]\) | \(3010560\) | \(2.9841\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38808.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38808.f do not have complex multiplication.Modular form 38808.2.a.f
sage: E.q_eigenform(10)