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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 177450.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.bf1 | 177450kd1 | \([1, 1, 0, -18854150, 32483062500]\) | \(-58153757003329/2126250000\) | \(-27100741336347656250000\) | \([]\) | \(20966400\) | \(3.0758\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 177450.bf do not have complex multiplication.Modular form 177450.2.a.bf
sage: E.q_eigenform(10)