Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (15 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5
320.10.a.c	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-114\)	\(625\)	\(-4242\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-114q^{3}+5^{4}q^{5}-4242q^{7}-6687q^{9}+\cdots\)
320.10.a.f	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(46\)	\(625\)	\(10318\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+46q^{3}+5^{4}q^{5}+10318q^{7}-17567q^{9}+\cdots\)
320.10.a.g	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(48\)	\(-625\)	\(-532\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+48q^{3}-5^{4}q^{5}-532q^{7}-17379q^{9}+\cdots\)
320.10.a.i	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(174\)	\(625\)	\(-4658\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+174q^{3}+5^{4}q^{5}-4658q^{7}+10593q^{9}+\cdots\)
320.10.a.j	$320$	$10$	320.a	1.a	$1$	$1$	$1$	$164.811$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(204\)	\(-625\)	\(5432\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+204q^{3}-5^{4}q^{5}+5432q^{7}+21933q^{9}+\cdots\)
320.10.a.k	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{1009}) \)	None	✓	$1$	$1$	\(0\)	\(-260\)	\(-1250\)	\(1700\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-130-\beta )q^{3}-5^{4}q^{5}+(850+107\beta )q^{7}+\cdots\)
320.10.a.l	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{79}) \)	None	✓	$1$	$1$	\(0\)	\(-260\)	\(1250\)	\(380\)		$-$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-130+\beta )q^{3}+5^{4}q^{5}+(190-69\beta )q^{7}+\cdots\)
320.10.a.m	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$1$	\(0\)	\(-116\)	\(1250\)	\(-11284\)		$-$	$-$	$+$	$2^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-58+\beta )q^{3}+5^{4}q^{5}+(-5642+\cdots)q^{7}+\cdots\)
320.10.a.p	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{6049}) \)	None	✓	$1$	$1$	\(0\)	\(92\)	\(-1250\)	\(-6908\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(46-\beta )q^{3}-5^{4}q^{5}+(-3454-37\beta )q^{7}+\cdots\)
320.10.a.q	$320$	$10$	320.a	1.a	$1$	$2$	$2$	$164.811$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$1$	\(0\)	\(108\)	\(1250\)	\(908\)		$-$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(54+\beta )q^{3}+5^{4}q^{5}+(454-13\beta )q^{7}+\cdots\)
320.10.a.u	$320$	$10$	320.a	1.a	$1$	$3$	$3$	$164.811$	3.3.7117.1	None	✓	$1$	$1$	\(0\)	\(-84\)	\(-1875\)	\(-5520\)		$+$	$+$	$+$	$2^{9}\cdot 3^{3}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-28-\beta _{1})q^{3}-5^{4}q^{5}+(-1840+\cdots)q^{7}+\cdots\)
320.10.a.w	$320$	$10$	320.a	1.a	$1$	$4$	$4$	$164.811$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-176\)	\(-2500\)	\(1392\)		$+$	$+$	$+$	$2^{13}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(-44-\beta _{1})q^{3}-5^{4}q^{5}+(348-14\beta _{1}+\cdots)q^{7}+\cdots\)
320.10.a.y	$320$	$10$	320.a	1.a	$1$	$4$	$4$	$164.811$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(2500\)	\(0\)		$-$	$-$	$+$	$2^{12}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+5^{4}q^{5}+(14\beta _{1}+7\beta _{2})q^{7}+\cdots\)
320.10.a.z	$320$	$10$	320.a	1.a	$1$	$4$	$4$	$164.811$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(2500\)	\(0\)		$-$	$-$	$+$	$2^{12}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+5^{4}q^{5}+(-34\beta _{1}+\beta _{2})q^{7}+\cdots\)
320.10.a.ba	$320$	$10$	320.a	1.a	$1$	$4$	$4$	$164.811$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(176\)	\(-2500\)	\(-1392\)		$+$	$+$	$+$	$2^{13}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(44+\beta _{1})q^{3}-5^{4}q^{5}+(-348+14\beta _{1}+\cdots)q^{7}+\cdots\)