Properties

Label 16704.n
Number of curves $1$
Conductor $16704$
CM no
Rank $1$

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

Elliptic curves in class 16704.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16704.n1 16704ct1 \([0, 0, 0, -684, 9936]\) \(-185193/116\) \(-22167945216\) \([]\) \(10752\) \(0.68680\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16704.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16704.n do not have complex multiplication.

Modular form 16704.2.a.n

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 2 q^{7} + q^{11} - 3 q^{13} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display