Properties

Label 164730.cz
Number of curves $1$
Conductor $164730$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cz1")
 
E.isogeny_class()
 

Elliptic curves in class 164730.cz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
164730.cz1 164730h1 \([1, 0, 0, -109826, 15150006]\) \(-21001392289/2077650\) \(-14493182447293650\) \([]\) \(1233792\) \(1.8416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 164730.cz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 164730.cz do not have complex multiplication.

Modular form 164730.2.a.cz

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} - 2 q^{7} + q^{8} + q^{9} - q^{10} + 4 q^{11} + q^{12} + q^{13} - 2 q^{14} - q^{15} + q^{16} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display