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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 417450.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
417450.ba1 | 417450ba1 | \([1, 1, 0, -128900, 17758800]\) | \(3132004237312225/42049152\) | \(3179967120000\) | \([]\) | \(2540160\) | \(1.5419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 417450.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 417450.ba do not have complex multiplication.Modular form 417450.2.a.ba
sage: E.q_eigenform(10)