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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 27584bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
27584.n1 | 27584bb1 | \([0, -1, 0, -209, -1103]\) | \(-61918288/431\) | \(-7061504\) | \([]\) | \(5632\) | \(0.14782\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 27584bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 27584bb do not have complex multiplication.Modular form 27584.2.a.bb
sage: E.q_eigenform(10)