Properties

Label 1560f
Number of curves $1$
Conductor $1560$
CM no
Rank $1$

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

Elliptic curves in class 1560f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1560.j1 1560f1 \([0, 1, 0, -105, 603]\) \(-504871936/394875\) \(-101088000\) \([]\) \(480\) \(0.23460\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1560f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1560f do not have complex multiplication.

Modular form 1560.2.a.f

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 3 q^{7} + q^{9} - 3 q^{11} - q^{13} + q^{15} - q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display