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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 308550.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
308550.ba1 | 308550ba1 | \([1, 1, 0, 2008471375, 51790208503125]\) | \(24320161737371916109/45523457139456000\) | \(-1677217666379964690564000000000\) | \([]\) | \(526901760\) | \(4.4842\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 308550.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 308550.ba do not have complex multiplication.Modular form 308550.2.a.ba
sage: E.q_eigenform(10)