Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 11560.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
11560.f1 11560c1 \([0, -1, 0, -224360, 41829100]\) \(-5142706/125\) \(-30358496383232000\) \([]\) \(91392\) \(1.9481\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 11560.f1 has rank \(0\).

Complex multiplication

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

Modular form 11560.2.a.f

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