Properties

Label 54208.ba
Number of curves $1$
Conductor $54208$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 54208.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54208.ba1 54208b1 \([0, -1, 0, 7979, 461837]\) \(2575826944/5764801\) \(-125713614946304\) \([]\) \(110592\) \(1.3896\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54208.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54208.ba do not have complex multiplication.

Modular form 54208.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} - 2 q^{9} + q^{15} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display