Properties

Label 32064q
Number of curves $1$
Conductor $32064$
CM no
Rank $1$

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

Elliptic curves in class 32064q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32064.k1 32064q1 \([0, -1, 0, 31, 321]\) \(97336/1503\) \(-49250304\) \([]\) \(7680\) \(0.15665\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32064q1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32064q do not have complex multiplication.

Modular form 32064.2.a.q

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