Properties

Label 46410.bn
Number of curves $1$
Conductor $46410$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bn1")
 
E.isogeny_class()
 

Elliptic curves in class 46410.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46410.bn1 46410bo1 \([1, 1, 1, -11, 89]\) \(-148035889/3712800\) \(-3712800\) \([]\) \(10560\) \(-0.058756\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46410.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46410.bn do not have complex multiplication.

Modular form 46410.2.a.bn

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + q^{8} + q^{9} - q^{10} + 2 q^{11} - q^{12} + q^{13} - q^{14} + q^{15} + q^{16} - q^{17} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display