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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 190575bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
190575.s1 | 190575bk1 | \([1, -1, 1, -724505, -237755878]\) | \(-30515071121161/85766121\) | \(-118208496363890625\) | \([]\) | \(2903040\) | \(2.1482\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 190575bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 190575bk do not have complex multiplication.Modular form 190575.2.a.bk
sage: E.q_eigenform(10)