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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 32448.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32448.bq1 | 32448h1 | \([0, -1, 0, 191, 961]\) | \(69212/81\) | \(-897122304\) | \([]\) | \(12288\) | \(0.40419\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32448.bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32448.bq do not have complex multiplication.Modular form 32448.2.a.bq
sage: E.q_eigenform(10)