Properties

Label 160446bv
Number of curves $1$
Conductor $160446$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("bv1")
 
E.isogeny_class()
 

Elliptic curves in class 160446bv

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160446.i1 160446bv1 \([1, 1, 0, -156, -1008]\) \(-3504731857/1145664\) \(-138625344\) \([]\) \(64512\) \(0.27474\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160446bv1 has rank \(1\).

Complex multiplication

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

Modular form 160446.2.a.bv

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