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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 84150.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84150.bg1 | 84150k1 | \([1, -1, 0, 3955458, -8295371884]\) | \(22253722294800933/109514680000000\) | \(-33680897600625000000000\) | \([]\) | \(7257600\) | \(3.0049\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84150.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 84150.bg do not have complex multiplication.Modular form 84150.2.a.bg
sage: E.q_eigenform(10)