Properties

Label 11560.k
Number of curves $1$
Conductor $11560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 11560.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11560.k1 11560k1 \([0, 1, 0, -27840, 24496400]\) \(-1156/125\) \(-258047219257472000\) \([]\) \(117504\) \(2.0205\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11560.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11560.k do not have complex multiplication.

Modular form 11560.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3 q^{7} - 2 q^{9} + 4 q^{11} + q^{15} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display