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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 397800ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
397800.ba1 | 397800ba1 | \([0, 0, 0, -12900, 157700]\) | \(2035379200/1085773\) | \(126644562720000\) | \([]\) | \(921600\) | \(1.3974\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 397800ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 397800ba do not have complex multiplication.Modular form 397800.2.a.ba
sage: E.q_eigenform(10)