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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 17850.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
17850.bg1 | 17850bn1 | \([1, 1, 1, -1138, -43969]\) | \(-417267265/1850688\) | \(-722925000000\) | \([]\) | \(21600\) | \(0.96044\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17850.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17850.bg do not have complex multiplication.Modular form 17850.2.a.bg
sage: E.q_eigenform(10)