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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 11858.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11858.ba1 | 11858bb1 | \([1, 1, 1, -1240, 16281]\) | \(3233229419/2048\) | \(133568512\) | \([]\) | \(9504\) | \(0.50041\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11858.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11858.ba do not have complex multiplication.Modular form 11858.2.a.ba
sage: E.q_eigenform(10)