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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 445280.bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
445280.bq1 | 445280bq1 | \([0, 0, 0, -136363612, -612908803936]\) | \(-319387394710714176/1399205\) | \(-1228521546095022080\) | \([]\) | \(57987072\) | \(3.0996\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 445280.bq1 has rank \(1\).
Complex multiplication
The elliptic curves in class 445280.bq do not have complex multiplication.Modular form 445280.2.a.bq
sage: E.q_eigenform(10)