Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 164730.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
164730.be1 164730cb1 \([1, 0, 1, 123541, -332030824]\) \(103436279/23685210\) \(-47749238890853659290\) \([]\) \(4465152\) \(2.4552\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 164730.be1 has rank \(0\).

Complex multiplication

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

Modular form 164730.2.a.be

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