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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 101150bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101150.u1 | 101150bg1 | \([1, -1, 0, -276317867, 1767985165541]\) | \(-50367487715865/10976\) | \(-508445520480887500000\) | \([]\) | \(13708800\) | \(3.3570\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101150bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101150bg do not have complex multiplication.Modular form 101150.2.a.bg
sage: E.q_eigenform(10)