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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 76440.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.bg1 | 76440n1 | \([0, -1, 0, -557440, -166542788]\) | \(-7791602019623044/375378046875\) | \(-922913475120000000\) | \([]\) | \(1298304\) | \(2.2094\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440.bg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440.bg do not have complex multiplication.Modular form 76440.2.a.bg
sage: E.q_eigenform(10)