Properties

Label 11560i
Number of curves $1$
Conductor $11560$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 11560i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11560.n1 11560i1 \([0, 0, 0, -54043, -4844218]\) \(-2443716/5\) \(-35715878097920\) \([]\) \(78336\) \(1.4870\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11560i1 has rank \(1\).

Complex multiplication

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

Modular form 11560.2.a.i

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - q^{5} - 3 q^{7} + 6 q^{9} + 4 q^{13} - 3 q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display