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SageMath
E = EllipticCurve("bu1")
E.isogeny_class()
Elliptic curves in class 7350.bu
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.bu1 | 7350bs1 | \([1, 1, 1, -751563, -670387719]\) | \(-10637008249/37791360\) | \(-166798809782010000000\) | \([]\) | \(282240\) | \(2.5662\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.bu1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.bu do not have complex multiplication.Modular form 7350.2.a.bu
sage: E.q_eigenform(10)