Properties

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

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Show commands: SageMath
E = EllipticCurve("fg1")
 
E.isogeny_class()
 

Elliptic curves in class 259182.fg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.fg1 259182fg1 \([1, -1, 1, 1066, 241805]\) \(12562583/2379048\) \(-25392266848872\) \([]\) \(663552\) \(1.2514\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.fg1 has rank \(1\).

Complex multiplication

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

Modular form 259182.2.a.fg

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2 q^{5} - q^{7} + q^{8} + 2 q^{10} - 3 q^{13} - q^{14} + q^{16} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display