Properties

Label 160446bk
Number of curves $1$
Conductor $160446$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bk1")
 
E.isogeny_class()
 

Elliptic curves in class 160446bk

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.t1 160446bk1 \([1, 0, 1, -285805, 76417064]\) \(-99541491313/39716352\) \(-1030139885426775552\) \([]\) \(2794176\) \(2.1652\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446bk1 has rank \(0\).

Complex multiplication

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

Modular form 160446.2.a.bk

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