Properties

Label 20160.cs
Number of curves $1$
Conductor $20160$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("cs1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 20160.cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
20160.cs1 20160el1 [0, 0, 0, 1152, 45792] [] 26880 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20160.cs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 20160.cs do not have complex multiplication.

Modular form 20160.2.a.cs

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