Properties

Label 176400.bn
Number of curves $1$
Conductor $176400$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 176400.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.bn1 176400e1 \([0, 0, 0, 13965, 2572850]\) \(16468459/165888\) \(-3033950846976000\) \([]\) \(811008\) \(1.6518\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 176400.bn do not have complex multiplication.

Modular form 176400.2.a.bn

sage: E.q_eigenform(10)
 
\(q - 5 q^{11} + q^{13} + 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display