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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 70805.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.bg1 | 70805g1 | \([0, 0, 1, -238, -506]\) | \(6193152/3125\) | \(752303125\) | \([]\) | \(40320\) | \(0.39583\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.bg do not have complex multiplication.Modular form 70805.2.a.bg
sage: E.q_eigenform(10)