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SageMath
E = EllipticCurve("bi1")
E.isogeny_class()
Elliptic curves in class 38962bi
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.t1 | 38962bi1 | \([1, -1, 1, -214314, -119132439]\) | \(-614493548699913/3108393233792\) | \(-5506708225649789312\) | \([]\) | \(1814400\) | \(2.2804\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962bi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38962bi do not have complex multiplication.Modular form 38962.2.a.bi
sage: E.q_eigenform(10)