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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 78400.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
78400.ba1 | 78400fp1 | \([0, 1, 0, -1633, -43737]\) | \(-6400/7\) | \(-527067520000\) | \([]\) | \(110592\) | \(0.94396\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 78400.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 78400.ba do not have complex multiplication.Modular form 78400.2.a.ba
sage: E.q_eigenform(10)