Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("ee1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 259182.ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.ee1 259182ee1 \([1, -1, 1, -7481, -338093]\) \(-19438895619/9714446\) \(-23136342314778\) \([]\) \(1036800\) \(1.2694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.ee1 has rank \(1\).

Complex multiplication

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

Modular form 259182.2.a.ee

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 2q^{5} + q^{7} + q^{8} - 2q^{10} + 7q^{13} + q^{14} + q^{16} + q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display