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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 160446bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.p1 | 160446bg1 | \([1, 0, 1, 866, -112]\) | \(594583313951/344208384\) | \(-41649214464\) | \([]\) | \(195840\) | \(0.72718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bg1 has rank \(2\).
Complex multiplication
The elliptic curves in class 160446bg do not have complex multiplication.Modular form 160446.2.a.bg
sage: E.q_eigenform(10)