Properties

Label 144400br
Number of curves $1$
Conductor $144400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("br1")
 
E.isogeny_class()
 

Elliptic curves in class 144400br

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
144400.cy1 144400br1 \([0, 0, 0, -6886075, 7426582250]\) \(-11993263569/972800\) \(-2929038914355200000000\) \([]\) \(18247680\) \(2.8653\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 144400br1 has rank \(1\).

Complex multiplication

The elliptic curves in class 144400br do not have complex multiplication.

Modular form 144400.2.a.br

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 5 q^{7} + 6 q^{9} + 4 q^{11} - q^{13} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display