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SageMath
E = EllipticCurve("bq1")
E.isogeny_class()
Elliptic curves in class 44100bq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.cs1 | 44100bq1 | \([0, 0, 0, -1575, -47250]\) | \(-3024/5\) | \(-714420000000\) | \([]\) | \(48384\) | \(0.96544\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100bq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 44100bq do not have complex multiplication.Modular form 44100.2.a.bq
sage: E.q_eigenform(10)