Properties

Label 32064n
Number of curves $1$
Conductor $32064$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 32064n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32064.a1 32064n1 \([0, -1, 0, 36063, -850239]\) \(19785968032823/12608077824\) \(-3305131953094656\) \([]\) \(211968\) \(1.6668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32064n1 has rank \(0\).

Complex multiplication

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

Modular form 32064.2.a.n

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