Properties

Label 16016.i
Number of curves $1$
Conductor $16016$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 16016.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16016.i1 16016d1 \([0, 1, 0, 23, -221]\) \(5030912/91091\) \(-23319296\) \([]\) \(2816\) \(0.094187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16016.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16016.i do not have complex multiplication.

Modular form 16016.2.a.i

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{5} + q^{7} - 2 q^{9} + q^{11} - q^{13} - 3 q^{15} + O(q^{20})\) Copy content Toggle raw display