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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 79350.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
79350.bg1 | 79350bt1 | \([1, 0, 1, -145751, 69081698]\) | \(-13225/72\) | \(-1864193004614205000\) | \([]\) | \(1112832\) | \(2.1899\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 79350.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 79350.bg do not have complex multiplication.Modular form 79350.2.a.bg
sage: E.q_eigenform(10)