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SageMath
E = EllipticCurve("bg1")
E.isogeny_class()
Elliptic curves in class 145794.bg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.bg1 | 145794o1 | \([1, 1, 1, -281, 1361]\) | \(1111075441/215622\) | \(476308998\) | \([]\) | \(175104\) | \(0.38208\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.bg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145794.bg do not have complex multiplication.Modular form 145794.2.a.bg
sage: E.q_eigenform(10)