Properties

Label 8016.j
Number of curves $1$
Conductor $8016$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("j1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 8016.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8016.j1 8016i1 \([0, 1, 0, 9016, -101772]\) \(19785968032823/12608077824\) \(-51642686767104\) \([]\) \(26496\) \(1.3203\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8016.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8016.j do not have complex multiplication.

Modular form 8016.2.a.j

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3q^{5} - 3q^{7} + q^{9} - 6q^{11} + 2q^{13} + 3q^{15} + O(q^{20})\)  Toggle raw display