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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 206400.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.bk1 | 206400ee1 | \([0, -1, 0, -133, -803]\) | \(-640000/387\) | \(-158515200\) | \([]\) | \(58368\) | \(0.27559\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206400.bk do not have complex multiplication.Modular form 206400.2.a.bk
sage: E.q_eigenform(10)