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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 422370.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422370.ba1 | 422370ba1 | \([1, -1, 0, -7335, 256261]\) | \(-165852736201/10281960\) | \(-2705893131240\) | \([]\) | \(940032\) | \(1.1398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422370.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422370.ba do not have complex multiplication.Modular form 422370.2.a.ba
sage: E.q_eigenform(10)