Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 254320bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254320.bk1 | 254320bk1 | \([0, 1, 0, 23024, 1710484]\) | \(13651919/20570\) | \(-2033704117575680\) | \([]\) | \(884736\) | \(1.6228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254320bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 254320bk do not have complex multiplication.Modular form 254320.2.a.bk
sage: E.q_eigenform(10)