Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 160446.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.q1 160446bh1 \([1, 0, 1, -16459, -814090]\) \(-33676378040569/509184\) \(-7454962944\) \([]\) \(322560\) \(1.0306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446.q1 has rank \(1\).

Complex multiplication

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

Modular form 160446.2.a.q

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