Newform search results

Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1636.1.x.a	$1636$	$1$	1636.x	1636.x	$102$	$32$	$1$	$0.816$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{102}^{25}q^{2}+\zeta_{102}^{50}q^{4}+(-\zeta_{102}^{44}+\cdots)q^{5}+\cdots\)
1839.1.bb.a	$1839$	$1$	1839.bb	1839.ab	$102$	$32$	$1$	$0.918$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{102}^{42}q^{3}+\zeta_{102}^{41}q^{4}+(\zeta_{102}^{36}+\cdots)q^{7}+\cdots\)
2163.1.co.a	$2163$	$1$	2163.co	2163.bo	$102$	$32$	$1$	$1.079$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{102}^{4}q^{3}+\zeta_{102}^{50}q^{4}-\zeta_{102}^{14}q^{7}+\cdots\)
2163.1.cy.a	$2163$	$1$	2163.cy	2163.by	$102$	$32$	$1$	$1.079$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-\zeta_{102}^{38}q^{3}-\zeta_{102}^{33}q^{4}-\zeta_{102}^{6}q^{7}+\cdots\)
2763.1.bz.a	$2763$	$1$	2763.bz	307.j	$102$	$32$	$1$	$1.379$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(15\)	$1$		\(q-\zeta_{102}^{3}q^{4}+(\zeta_{102}-\zeta_{102}^{34})q^{7}+(\zeta_{102}^{8}+\cdots)q^{13}+\cdots\)
2781.1.bw.a	$2781$	$1$	2781.bw	103.h	$102$	$32$	$1$	$1.388$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{102}^{31}q^{4}+(\zeta_{102}^{8}+\zeta_{102}^{18})q^{7}+\cdots\)
3272.1.by.a	$3272$	$1$	3272.by	3272.ay	$102$	$32$	$1$	$1.633$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+\zeta_{102}^{23}q^{2}+(\zeta_{102}^{14}-\zeta_{102}^{33})q^{3}+\cdots\)
3399.1.bw.a	$3399$	$1$	3399.bw	3399.aw	$102$	$32$	$1$	$1.696$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q+\zeta_{102}^{29}q^{3}+\zeta_{102}^{43}q^{4}+(\zeta_{102}^{4}-\zeta_{102}^{19}+\cdots)q^{5}+\cdots\)
3399.1.bw.b	$3399$	$1$	3399.bw	3399.aw	$102$	$32$	$1$	$1.696$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)	$1$		\(q-\zeta_{102}q^{3}+\zeta_{102}^{43}q^{4}+(-\zeta_{102}^{4}+\zeta_{102}^{19}+\cdots)q^{5}+\cdots\)
3708.1.ck.a	$3708$	$1$	3708.ck	103.h	$102$	$32$	$1$	$1.851$	\(\Q(\zeta_{51})\)	$D_{102}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{102}^{25}+\zeta_{102}^{30})q^{7}+(\zeta_{102}^{29}+\cdots)q^{13}+\cdots\)