Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("eh1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 259182.eh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.eh1 259182eh1 \([1, -1, 1, -1622633, -794324055]\) \(44267613003805081/54092365824\) \(577343453133275136\) \([]\) \(4815360\) \(2.3181\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.eh1 has rank \(1\).

Complex multiplication

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

Modular form 259182.2.a.eh

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