Newform search results

Results (23 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
921.1.s.a	$921$	$1$	921.s	921.s	$102$	$32$	$1$	$0.460$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-15\)	$1$		\(q-\zeta_{102}^{9}q^{3}-\zeta_{102}^{15}q^{4}+(-\zeta_{102}^{5}+\cdots)q^{7}+\cdots\)
1133.1.w.a	$1133$	$1$	1133.w	1133.w	$102$	$32$	$1$	$0.565$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-11}) \)	None		$4$	$0$	\(0\)	\(2\)	\(2\)	\(0\)	$1$		\(q+(\zeta_{102}^{10}+\zeta_{102}^{32})q^{3}+\zeta_{102}^{50}q^{4}+\cdots\)
1236.1.bb.a	$1236$	$1$	1236.bb	309.n	$102$	$32$	$1$	$0.617$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{102}^{3}q^{3}+(\zeta_{102}^{36}-\zeta_{102}^{47})q^{7}+\cdots\)
1559.1.b.c	$1559$	$1$	1559.b	1559.b	$2$	$16$	$16$	$0.778$	\(\Q(\zeta_{51})^+\)	$D_{51}$	\(\Q(\sqrt{-1559}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(-2\)	$1$		\(q+\beta _{6}q^{2}+(-\beta _{8}-\beta _{9})q^{3}+(1+\beta _{12}+\cdots)q^{4}+\cdots\)
1636.1.y.a	$1636$	$1$	1636.y	1636.y	$102$	$32$	$1$	$0.816$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\zeta_{102}^{5}q^{2}+\zeta_{102}^{10}q^{4}+(-\zeta_{102}^{19}+\cdots)q^{5}+\cdots\)
1839.1.ba.a	$1839$	$1$	1839.ba	1839.aa	$102$	$32$	$1$	$0.918$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{102}^{48}q^{3}-\zeta_{102}^{25}q^{4}+(\zeta_{102}^{12}+\cdots)q^{7}+\cdots\)
2060.1.bn.a	$2060$	$1$	2060.bn	2060.an	$102$	$32$	$1$	$1.028$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-1\)	\(-2\)	\(1\)	\(1\)	$1$		\(q-\zeta_{102}^{22}q^{2}+(-\zeta_{102}^{14}+\zeta_{102}^{25}+\cdots)q^{3}+\cdots\)
2060.1.bn.b	$2060$	$1$	2060.bn	2060.an	$102$	$32$	$1$	$1.028$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(1\)	\(2\)	\(1\)	\(-1\)	$1$		\(q+\zeta_{102}^{22}q^{2}+(\zeta_{102}^{14}-\zeta_{102}^{25})q^{3}+\cdots\)
2163.1.cn.a	$2163$	$1$	2163.cn	2163.bn	$102$	$32$	$1$	$1.079$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\zeta_{102}^{32}q^{3}-\zeta_{102}^{43}q^{4}+\zeta_{102}^{10}q^{7}+\cdots\)
2163.1.cz.a	$2163$	$1$	2163.cz	2163.bz	$102$	$32$	$1$	$1.079$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+\zeta_{102}^{40}q^{3}+\zeta_{102}^{24}q^{4}-\zeta_{102}^{9}q^{7}+\cdots\)
2452.1.bb.a	$2452$	$1$	2452.bb	2452.ab	$102$	$32$	$1$	$1.224$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+\zeta_{102}^{38}q^{2}-\zeta_{102}^{25}q^{4}+(\zeta_{102}^{26}+\cdots)q^{5}+\cdots\)
2456.1.bi.a	$2456$	$1$	2456.bi	2456.ai	$102$	$32$	$1$	$1.226$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$1$		\(q+\zeta_{102}^{36}q^{2}+(\zeta_{102}^{2}-\zeta_{102}^{13})q^{3}+\cdots\)
2472.1.ck.a	$2472$	$1$	2472.ck	2472.bk	$102$	$32$	$1$	$1.234$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(-1\)	\(2\)	\(-2\)	\(-1\)	$1$		\(q+\zeta_{102}^{29}q^{2}-\zeta_{102}^{6}q^{3}-\zeta_{102}^{7}q^{4}+\cdots\)
2472.1.ck.b	$2472$	$1$	2472.ck	2472.bk	$102$	$32$	$1$	$1.234$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-6}) \)	None		$4$	$0$	\(1\)	\(-2\)	\(2\)	\(-1\)	$1$		\(q-\zeta_{102}^{29}q^{2}+\zeta_{102}^{6}q^{3}-\zeta_{102}^{7}q^{4}+\cdots\)
2681.1.f.b	$2681$	$1$	2681.f	2681.f	$6$	$32$	$16$	$1.338$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-383}) \)	None		$4$	$0$	\(2\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q+(-\zeta_{102}^{5}-\zeta_{102}^{29})q^{2}+(\zeta_{102}^{26}+\zeta_{102}^{42}+\cdots)q^{3}+\cdots\)
2687.1.b.d	$2687$	$1$	2687.b	2687.b	$2$	$16$	$16$	$1.341$	\(\Q(\zeta_{51})^+\)	$D_{51}$	\(\Q(\sqrt{-2687}) \)	None	✓	$2$	$0$	\(1\)	\(-2\)	\(0\)	\(1\)	$1$		\(q+(-\beta _{8}-\beta _{9})q^{2}-\beta _{15}q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
2757.1.x.a	$2757$	$1$	2757.x	2757.x	$102$	$32$	$1$	$1.376$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{102}^{15}q^{3}-\zeta_{102}^{27}q^{4}+(\zeta_{102}^{2}-\zeta_{102}^{21}+\cdots)q^{7}+\cdots\)
2781.1.bq.a	$2781$	$1$	2781.bq	309.n	$102$	$32$	$1$	$1.388$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+\zeta_{102}^{46}q^{4}+(\zeta_{102}^{2}+\zeta_{102}^{30})q^{7}+\cdots\)
3193.1.bq.b	$3193$	$1$	3193.bq	3193.aq	$34$	$32$	$2$	$1.594$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-31}) \)	None		$4$	$0$	\(2\)	\(0\)	\(2\)	\(2\)	$1$		\(q+(-\zeta_{102}^{11}+\zeta_{102}^{16})q^{2}+(\zeta_{102}^{22}+\cdots)q^{4}+\cdots\)
3272.1.bz.a	$3272$	$1$	3272.bz	3272.az	$102$	$32$	$1$	$1.633$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-\zeta_{102}^{13}q^{2}+(\zeta_{102}^{12}-\zeta_{102}^{19})q^{3}+\cdots\)
3447.1.f.b	$3447$	$1$	3447.f	3447.f	$6$	$32$	$16$	$1.720$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-383}) \)	None		$4$	$0$	\(2\)	\(1\)	\(0\)	\(-1\)	$1$		\(q+(-\zeta_{102}^{41}+\zeta_{102}^{44})q^{2}+\zeta_{102}^{16}q^{3}+\cdots\)
3605.1.dc.a	$3605$	$1$	3605.dc	3605.cc	$102$	$32$	$1$	$1.799$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-35}) \)	None		$4$	$0$	\(0\)	\(-4\)	\(1\)	\(1\)	$1$		\(q+(-\zeta_{102}^{3}+\zeta_{102}^{24})q^{3}-\zeta_{102}^{37}q^{4}+\cdots\)
3605.1.dc.b	$3605$	$1$	3605.dc	3605.cc	$102$	$32$	$1$	$1.799$	\(\Q(\zeta_{51})\)	$D_{51}$	\(\Q(\sqrt{-35}) \)	None		$4$	$0$	\(0\)	\(4\)	\(-1\)	\(-1\)	$1$		\(q+(\zeta_{102}^{3}-\zeta_{102}^{24})q^{3}-\zeta_{102}^{37}q^{4}+\cdots\)