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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 209484bq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 209484.bg1 | 209484bq1 | \([0, 0, 0, -27980397, 56967731217]\) | \(-51964534050048/253\) | \(-11795023552100976\) | \([]\) | \(4866048\) | \(2.7056\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 209484bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 209484bq do not have complex multiplication.Modular form 209484.2.a.bq
sage: E.q_eigenform(10)