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SageMath
E = EllipticCurve("cy1")
E.isogeny_class()
Elliptic curves in class 59584.cy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59584.cy1 | 59584cn1 | \([0, -1, 0, -37, -195]\) | \(-7168/19\) | \(-15253504\) | \([]\) | \(9216\) | \(0.065885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59584.cy1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59584.cy do not have complex multiplication.Modular form 59584.2.a.cy
sage: E.q_eigenform(10)