Properties

Label 444675.bn
Number of curves $1$
Conductor $444675$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 444675.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
444675.bn1 444675bn1 \([1, 1, 1, -477287588, 4022989804406]\) \(-30515071121161/85766121\) \(-33796016678880639641390625\) \([]\) \(191600640\) \(3.7708\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 444675.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 444675.bn do not have complex multiplication.

Modular form 444675.2.a.bn

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