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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 150075.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
150075.bg1 | 150075y1 | \([0, 0, 1, -11550, 475281]\) | \(14959673344/90045\) | \(1025668828125\) | \([]\) | \(313344\) | \(1.1440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 150075.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 150075.bg do not have complex multiplication.Modular form 150075.2.a.bg
sage: E.q_eigenform(10)