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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 137904.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
137904.bq1 | 137904a1 | \([0, 1, 0, -152325, 40653939]\) | \(-692224/867\) | \(-489567487725907968\) | \([]\) | \(2720640\) | \(2.0877\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 137904.bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 137904.bq do not have complex multiplication.Modular form 137904.2.a.bq
sage: E.q_eigenform(10)