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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 33609.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
33609.a1 | 33609a1 | \([1, 1, 1, -232, 1262]\) | \(1381352948353/1714059\) | \(1714059\) | \([]\) | \(15616\) | \(0.10550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 33609.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 33609.a do not have complex multiplication.Modular form 33609.2.a.a
sage: E.q_eigenform(10)