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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 7350.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.ba1 | 7350x1 | \([1, 0, 1, -901, 10448]\) | \(-105484561/1440\) | \(-1102500000\) | \([]\) | \(5760\) | \(0.54194\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.ba1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.ba do not have complex multiplication.Modular form 7350.2.a.ba
sage: E.q_eigenform(10)