Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 200400bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 200400.bj1 | 200400bq1 | \([0, -1, 0, 992, 80512]\) | \(1685159/45090\) | \(-2885760000000\) | \([]\) | \(497664\) | \(1.0710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400bq do not have complex multiplication.Modular form 200400.2.a.bq
sage: E.q_eigenform(10)