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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 54150ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
54150.x1 | 54150ba1 | \([1, 0, 1, -331, 2768]\) | \(-442458985/118098\) | \(-1065834450\) | \([]\) | \(34560\) | \(0.44875\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 54150ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 54150ba do not have complex multiplication.Modular form 54150.2.a.ba
sage: E.q_eigenform(10)