Show commands:
SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 226576bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
226576.ck1 | 226576bq1 | \([0, 1, 0, 3372, -77848]\) | \(14000/17\) | \(-5147288314112\) | \([]\) | \(331776\) | \(1.1253\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 226576bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 226576bq do not have complex multiplication.Modular form 226576.2.a.bq
sage: E.q_eigenform(10)