Show commands:
SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 404600bk
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 404600.bk1 | 404600bk1 | \([0, -1, 0, -8188, -673263]\) | \(-6288640/16807\) | \(-162272048873200\) | \([]\) | \(1244160\) | \(1.4142\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 404600bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 404600bk do not have complex multiplication.Modular form 404600.2.a.bk
sage: E.q_eigenform(10)