Properties

Label 301665.bn
Number of curves $1$
Conductor $301665$
CM no
Rank $1$

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

Elliptic curves in class 301665.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
301665.bn1 301665bn1 \([1, 1, 0, -1921113418, -32523227195207]\) \(-5687864023665381542881/22897433445368265\) \(-3156605641991320947305771985\) \([]\) \(245306880\) \(4.1333\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301665.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 301665.bn do not have complex multiplication.

Modular form 301665.2.a.bn

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