Properties

Label 560.e
Number of curves $1$
Conductor $560$
CM no
Rank $0$

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

Elliptic curves in class 560.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
560.e1 560a1 \([0, 1, 0, -1, -5]\) \(-1024/35\) \(-8960\) \([]\) \(32\) \(-0.56133\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 560.e1 has rank \(0\).

Complex multiplication

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

Modular form 560.2.a.e

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} - 2 q^{9} + 5 q^{11} + q^{13} - q^{15} + 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display