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SageMath
E = EllipticCurve("bf1")
E.isogeny_class()
Elliptic curves in class 422331.bf
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.bf1 | 422331bf1 | \([0, 1, 1, -7497065, -8177620993]\) | \(-239251750912/9771957\) | \(-1903373512010417283291\) | \([]\) | \(24686592\) | \(2.8507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331.bf1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331.bf do not have complex multiplication.Modular form 422331.2.a.bf
sage: E.q_eigenform(10)