Properties

Label 560e
Number of curves $1$
Conductor $560$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("e1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 560e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
560.a1 560e1 [0, 0, 0, 32, -212] [] 240 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 560e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 560e do not have complex multiplication.

Modular form 560.2.a.e

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