Properties

Label 23184.w
Number of curves $1$
Conductor $23184$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("w1")
 
E.isogeny_class()
 

Elliptic curves in class 23184.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
23184.w1 23184bf1 \([0, 0, 0, 15, -173]\) \(32000/1127\) \(-13145328\) \([]\) \(2880\) \(0.045894\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 23184.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 23184.w do not have complex multiplication.

Modular form 23184.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{7} - 2 q^{11} - 3 q^{13} + O(q^{20})\) Copy content Toggle raw display