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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 429429ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
429429.ba1 | 429429ba1 | \([1, 1, 1, 60921, -31954746]\) | \(24167/441\) | \(-456289194833961489\) | \([]\) | \(5588352\) | \(2.0689\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 429429ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 429429ba do not have complex multiplication.Modular form 429429.2.a.ba
sage: E.q_eigenform(10)