Properties

Label 32487.q
Number of curves $1$
Conductor $32487$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("q1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 32487.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32487.q1 32487o1 \([0, 1, 1, -1114766, -656107273]\) \(-1302227927110660096/825290486657091\) \(-97094600464720099059\) \([]\) \(1571328\) \(2.5367\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32487.q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32487.q do not have complex multiplication.

Modular form 32487.2.a.q

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + q^{3} + 2 q^{4} - q^{5} + 2 q^{6} + q^{9} - 2 q^{10} + 2 q^{11} + 2 q^{12} - q^{13} - q^{15} - 4 q^{16} - q^{17} + 2 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display