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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 166410.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
166410.bg1 | 166410bt1 | \([1, -1, 0, 790101, 1386874143]\) | \(6401711/101250\) | \(-862720672740076811250\) | \([]\) | \(7397376\) | \(2.6978\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 166410.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 166410.bg do not have complex multiplication.Modular form 166410.2.a.bg
sage: E.q_eigenform(10)