Properties

Label 16224.n
Number of curves $1$
Conductor $16224$
CM no
Rank $1$

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

Elliptic curves in class 16224.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16224.n1 16224w1 \([0, 1, 0, -17, -129]\) \(-832/9\) \(-6230016\) \([]\) \(3072\) \(-0.014192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16224.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16224.n do not have complex multiplication.

Modular form 16224.2.a.n

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