Properties

Label 32110q
Number of curves $1$
Conductor $32110$
CM no
Rank $0$

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

Elliptic curves in class 32110q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32110.b1 32110q1 \([1, -1, 0, -8059, 299365]\) \(-11993263569/972800\) \(-4695519795200\) \([]\) \(205920\) \(1.1777\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32110q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 32110q do not have complex multiplication.

Modular form 32110.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + q^{5} + 3 q^{6} + 5 q^{7} - q^{8} + 6 q^{9} - q^{10} + 4 q^{11} - 3 q^{12} - 5 q^{14} - 3 q^{15} + q^{16} - 3 q^{17} - 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display