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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 259182.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
259182.bg1 | 259182bg1 | \([1, -1, 0, 169680, -3816928]\) | \(15494117157/9143008\) | \(-318813353252390304\) | \([]\) | \(3240000\) | \(2.0480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 259182.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 259182.bg do not have complex multiplication.Modular form 259182.2.a.bg
sage: E.q_eigenform(10)