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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 333795.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333795.bk1 | 333795bk1 | \([0, 1, 1, -37955, 9186986]\) | \(-250523582464/1369738755\) | \(-33062163710786595\) | \([]\) | \(2016000\) | \(1.8538\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333795.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333795.bk do not have complex multiplication.Modular form 333795.2.a.bk
sage: E.q_eigenform(10)