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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 422331bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.bk1 | 422331bk1 | \([1, 1, 0, -2083, 37276]\) | \(-50308609/2499\) | \(-49686819819\) | \([]\) | \(285696\) | \(0.81363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 422331bk do not have complex multiplication.Modular form 422331.2.a.bk
sage: E.q_eigenform(10)