Properties

Label 259182.dq
Number of curves $1$
Conductor $259182$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("dq1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 259182.dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.dq1 259182dq1 \([1, -1, 1, -3850330859, -86817506677701]\) \(1090718342617689660877299/68598829524107395072\) \(397028745036830440749388529664\) \([]\) \(508400640\) \(4.4306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.dq1 has rank \(0\).

Complex multiplication

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

Modular form 259182.2.a.dq

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