Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 162624.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.bq1 | 162624cx1 | \([0, -1, 0, -338961, -75585321]\) | \(313944395776/1240029\) | \(17011918646243136\) | \([]\) | \(1858560\) | \(1.9716\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 162624.bq do not have complex multiplication.Modular form 162624.2.a.bq
sage: E.q_eigenform(10)