Properties

Label 160816.u
Number of curves $1$
Conductor $160816$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 160816.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160816.u1 160816bq1 \([0, -1, 0, -4408, -159856]\) \(-31250/19\) \(-5760372512768\) \([]\) \(202400\) \(1.1506\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160816.u1 has rank \(1\).

Complex multiplication

The elliptic curves in class 160816.u do not have complex multiplication.

Modular form 160816.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{7} - 2 q^{9} + 2 q^{11} + q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display