Properties

Label 32064.u
Number of curves $1$
Conductor $32064$
CM no
Rank $1$

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

Elliptic curves in class 32064.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32064.u1 32064s1 \([0, 1, 0, -208865, -36863073]\) \(-3843995587427449/6390046584\) \(-1675112371716096\) \([]\) \(193536\) \(1.8171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32064.u1 has rank \(1\).

Complex multiplication

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

Modular form 32064.2.a.u

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