Properties

Label 106032z
Number of curves $1$
Conductor $106032$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 106032z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
106032.t1 106032z1 \([0, -1, 0, -435909, 42166701]\) \(207474688/102789\) \(4538305595197771776\) \([]\) \(2472960\) \(2.2730\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 106032z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 106032z do not have complex multiplication.

Modular form 106032.2.a.z

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