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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 9702bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 9702.be1 | 9702bq1 | \([1, -1, 1, -2147459, -1255163101]\) | \(-260607143968297/11270993184\) | \(-47366798895246843936\) | \([]\) | \(470400\) | \(2.5411\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9702bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9702bq do not have complex multiplication.Modular form 9702.2.a.bq
sage: E.q_eigenform(10)