Properties

Label 59584.ck
Number of curves $1$
Conductor $59584$
CM no
Rank $0$

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

Elliptic curves in class 59584.ck

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59584.ck1 59584u1 \([0, -1, 0, -4181, 105869]\) \(-4194304/19\) \(-36623663104\) \([]\) \(63360\) \(0.87860\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59584.ck1 has rank \(0\).

Complex multiplication

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

Modular form 59584.2.a.ck

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} + q^{9} - 5 q^{11} - 4 q^{13} - 2 q^{15} + 3 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display