Properties

Label 259182.ey
Number of curves $1$
Conductor $259182$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ey1")
 
E.isogeny_class()
 

Elliptic curves in class 259182.ey

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.ey1 259182ey1 \([1, -1, 1, -883202, 243266433]\) \(487567078009/118855296\) \(18573234735331672704\) \([]\) \(5322240\) \(2.4081\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.ey1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259182.ey do not have complex multiplication.

Modular form 259182.2.a.ey

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + q^{5} - q^{7} + q^{8} + q^{10} + 2 q^{13} - q^{14} + q^{16} + q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display