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SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 38962.v
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38962.v1 | 38962u1 | \([1, 1, 1, -5992, -164295]\) | \(13430356633/1388464\) | \(2459748672304\) | \([]\) | \(69120\) | \(1.1129\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38962.v1 has rank \(1\).
Complex multiplication
The elliptic curves in class 38962.v do not have complex multiplication.Modular form 38962.2.a.v
sage: E.q_eigenform(10)