Properties

Label 9016.n
Number of curves $1$
Conductor $9016$
CM no
Rank $1$

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

Elliptic curves in class 9016.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9016.n1 9016j1 \([0, 0, 0, 1196825, 12764985443]\) \(100718081964000000/37453512751940327\) \(-70501893148048440499568\) \([]\) \(1175040\) \(3.0633\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9016.n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 9016.n do not have complex multiplication.

Modular form 9016.2.a.n

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} - 6 q^{11} - q^{13} + O(q^{20})\) Copy content Toggle raw display