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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 2550.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2550.ba1 | 2550bb1 | \([1, 0, 0, -43, -103]\) | \(352224985/33048\) | \(826200\) | \([]\) | \(720\) | \(-0.12630\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2550.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2550.ba do not have complex multiplication.Modular form 2550.2.a.ba
sage: E.q_eigenform(10)