Properties

Label 169065.n
Number of curves $1$
Conductor $169065$
CM no
Rank $0$

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

Elliptic curves in class 169065.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
169065.n1 169065o1 \([0, 0, 1, -1694118, -1369512261]\) \(-30558612127744/28361896875\) \(-499064099994782521875\) \([]\) \(4147200\) \(2.6682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 169065.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 169065.n do not have complex multiplication.

Modular form 169065.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} - q^{5} - 2 q^{7} + 2 q^{11} - q^{13} + 4 q^{16} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display