Properties

Label 485520.gj
Number of curves $1$
Conductor $485520$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("gj1")
 
E.isogeny_class()
 

Elliptic curves in class 485520.gj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.gj1 485520gj1 \([0, 1, 0, -2657331976, 52724159458484]\) \(-72628961394279272329/24608375505\) \(-703127791779536415559680\) \([]\) \(218557440\) \(3.9329\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520.gj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 485520.gj do not have complex multiplication.

Modular form 485520.2.a.gj

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{7} + q^{9} + q^{11} - q^{13} - q^{15} + O(q^{20})\) Copy content Toggle raw display