Properties

Label 11560.j
Number of curves $1$
Conductor $11560$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 11560.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11560.j1 11560d1 \([0, 1, 0, -96, -98656]\) \(-2/85\) \(-4201868011520\) \([]\) \(13824\) \(1.1011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11560.j1 has rank \(0\).

Complex multiplication

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

Modular form 11560.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{7} - 2 q^{9} - 4 q^{11} - q^{13} - q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display