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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 38025bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
38025.e1 | 38025bq1 | \([0, 0, 1, -2522325, 2422261156]\) | \(-32278933504/27421875\) | \(-1507664868299560546875\) | \([]\) | \(2709504\) | \(2.7614\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 38025bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 38025bq do not have complex multiplication.Modular form 38025.2.a.bq
sage: E.q_eigenform(10)