Properties

Label 18032.ba
Number of curves $1$
Conductor $18032$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 18032.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18032.ba1 18032g1 \([0, 0, 0, -2695, -53851]\) \(-1149984000/23\) \(-43294832\) \([]\) \(17280\) \(0.58609\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18032.ba1 has rank \(0\).

Complex multiplication

The elliptic curves in class 18032.ba do not have complex multiplication.

Modular form 18032.2.a.ba

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 6 q^{9} + 5 q^{13} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display