Properties

Label 2160.n
Number of curves $1$
Conductor $2160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 2160.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2160.n1 2160k1 \([0, 0, 0, -1107, 22194]\) \(-3721734/3125\) \(-125971200000\) \([]\) \(1440\) \(0.82770\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2160.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2160.n do not have complex multiplication.

Modular form 2160.2.a.n

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{7} - q^{11} + q^{13} - q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display