Properties

Label 59584ck
Number of curves $1$
Conductor $59584$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ck1")
 
E.isogeny_class()
 

Elliptic curves in class 59584ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59584.ba1 59584ck1 \([0, -1, 0, -1633, -35839]\) \(-31250/19\) \(-292989304832\) \([]\) \(42240\) \(0.90235\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59584ck1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59584ck do not have complex multiplication.

Modular form 59584.2.a.ck

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{9} + 2 q^{11} + q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display