Properties

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

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 164730.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
164730.bp1 164730bl1 \([1, 0, 1, 172, 1106]\) \(1963522151/2918400\) \(-843417600\) \([]\) \(88704\) \(0.39817\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 164730.bp1 has rank \(1\).

Complex multiplication

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

Modular form 164730.2.a.bp

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