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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 331200.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
331200.ba1 | 331200ba1 | \([0, 0, 0, -900, 27000]\) | \(-6912/23\) | \(-268272000000\) | \([]\) | \(344064\) | \(0.87919\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 331200.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 331200.ba do not have complex multiplication.Modular form 331200.2.a.ba
sage: E.q_eigenform(10)