Properties

Label 489762fj
Number of curves $1$
Conductor $489762$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("fj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 489762fj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
489762.fj1 489762fj1 \([1, -1, 1, 13834984, -13295304421]\) \(83228502970940543/69854999176704\) \(-245801842527687336543744\) \([]\) \(71089920\) \(3.1759\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 489762fj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 489762fj do not have complex multiplication.

Modular form 489762.2.a.fj

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3q^{5} + q^{7} + q^{8} + 3q^{10} + 4q^{11} + q^{14} + q^{16} + 4q^{17} + O(q^{20})\)  Toggle raw display