Properties

Label 160446.bp
Number of curves $1$
Conductor $160446$
CM no
Rank $1$

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

Elliptic curves in class 160446.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.bp1 160446j1 \([1, 0, 0, -285260, -122364912]\) \(-1449073218392281/2811246362496\) \(-4980294417189776256\) \([]\) \(4193280\) \(2.2773\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446.bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 160446.bp do not have complex multiplication.

Modular form 160446.2.a.bp

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{5} + q^{6} - q^{7} + q^{8} + q^{9} + q^{10} + q^{12} - q^{13} - q^{14} + q^{15} + q^{16} + q^{17} + q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display