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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 9792.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.bq1 | 9792bc1 | \([0, 0, 0, 48, -32]\) | \(27648/17\) | \(-7520256\) | \([]\) | \(1024\) | \(0.0085822\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9792.bq do not have complex multiplication.Modular form 9792.2.a.bq
sage: E.q_eigenform(10)