Properties

Label 254100.bn
Number of curves $1$
Conductor $254100$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 254100.bn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.bn1 254100bn1 \([0, -1, 0, 2440167, -742691838]\) \(9912320/7203\) \(-1167670433756268750000\) \([]\) \(9504000\) \(2.7308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100.bn1 has rank \(1\).

Complex multiplication

The elliptic curves in class 254100.bn do not have complex multiplication.

Modular form 254100.2.a.bn

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} + q^{9} - q^{13} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display