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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 131859.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
131859.bq1 | 131859bq1 | \([0, 0, 1, -675171, -299239117]\) | \(-396870925750272/221358574619\) | \(-18985066295160682899\) | \([]\) | \(4999680\) | \(2.4025\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 131859.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 131859.bq do not have complex multiplication.Modular form 131859.2.a.bq
sage: E.q_eigenform(10)