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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 14784bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
14784.t1 | 14784bq1 | \([0, -1, 0, -945, 11529]\) | \(-91238612224/251559\) | \(-257596416\) | \([]\) | \(4608\) | \(0.48706\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 14784bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 14784bq do not have complex multiplication.Modular form 14784.2.a.bq
sage: E.q_eigenform(10)