Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 16016.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16016.a1 16016c1 \([0, 0, 0, 32348, 4190188]\) \(14622648823378944/38090758396691\) \(-9751234149552896\) \([]\) \(119040\) \(1.7517\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16016.a1 has rank \(1\).

Complex multiplication

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

Modular form 16016.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + q^{5} - q^{7} + 6 q^{9} + q^{11} + q^{13} - 3 q^{15} + 4 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display