Properties

Label 187850bn
Number of curves $1$
Conductor $187850$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 187850bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
187850.t1 187850bn1 \([1, 0, 1, -28626, 1868148]\) \(-574468255729/2284880\) \(-10317661250000\) \([]\) \(470016\) \(1.3542\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 187850bn1 has rank \(2\).

Complex multiplication

The elliptic curves in class 187850bn do not have complex multiplication.

Modular form 187850.2.a.bn

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