Newform search results

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

Results (26 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	3	5
1800.4.a.a	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-34\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-34q^{7}-18q^{11}-12q^{13}-106q^{17}+\cdots\)
1800.4.a.c	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-26\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-26q^{7}+59q^{11}-28q^{13}+5q^{17}+\cdots\)
1800.4.a.e	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-20q^{7}-2^{4}q^{11}-58q^{13}+38q^{17}+\cdots\)
1800.4.a.f	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-20\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-20q^{7}+56q^{11}+86q^{13}-106q^{17}+\cdots\)
1800.4.a.g	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-19\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-19q^{7}-22q^{11}+q^{13}+58q^{17}+\cdots\)
1800.4.a.h	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2^{4}q^{7}-6^{2}q^{11}+42q^{13}-110q^{17}+\cdots\)
1800.4.a.j	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-10\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-10q^{7}+46q^{11}+34q^{13}+66q^{17}+\cdots\)
1800.4.a.o	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+28q^{11}+2^{4}q^{13}+108q^{17}+\cdots\)
1800.4.a.p	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-39q^{11}-84q^{13}-61q^{17}+\cdots\)
1800.4.a.r	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+34q^{11}+68q^{13}-38q^{17}+\cdots\)
1800.4.a.s	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{11}-54q^{13}+114q^{17}+44q^{19}+\cdots\)
1800.4.a.t	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-39q^{11}+84q^{13}+61q^{17}+\cdots\)
1800.4.a.x	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(10\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{7}+14q^{11}-82q^{13}-18q^{17}+\cdots\)
1800.4.a.z	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(12\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{7}-2^{6}q^{11}-58q^{13}+2^{5}q^{17}+\cdots\)
1800.4.a.be	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(18\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+18q^{7}+34q^{11}-12q^{13}+102q^{17}+\cdots\)
1800.4.a.bf	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(19\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+19q^{7}-22q^{11}-q^{13}-58q^{17}+\cdots\)
1800.4.a.bg	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(24\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+24q^{7}+28q^{11}+74q^{13}+82q^{17}+\cdots\)
1800.4.a.bh	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(26\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+26q^{7}+59q^{11}+28q^{13}-5q^{17}+\cdots\)
1800.4.a.bi	$1800$	$4$	1800.a	1.a	$1$	$1$	$1$	$106.203$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(34\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+34q^{7}-2^{4}q^{11}-58q^{13}-70q^{17}+\cdots\)
1800.4.a.bm	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{7}+(8-3\beta )q^{11}+(-41+\cdots)q^{13}+\cdots\)
1800.4.a.bn	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+3\beta )q^{7}+(-37+\beta )q^{11}+(-7^{2}+\cdots)q^{13}+\cdots\)
1800.4.a.bo	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{7}+(8-3\beta )q^{11}+(41+2\beta )q^{13}+\cdots\)
1800.4.a.bp	$1800$	$4$	1800.a	1.a	$1$	$2$	$2$	$106.203$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+3\beta )q^{7}+(-20+8\beta )q^{11}+(52+\cdots)q^{13}+\cdots\)
1800.4.a.bs	$1800$	$4$	1800.a	1.a	$1$	$3$	$3$	$106.203$	3.3.121909.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-9\)		$-$	$+$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{7}+(3-\beta _{1}-\beta _{2})q^{11}+\cdots\)
1800.4.a.bu	$1800$	$4$	1800.a	1.a	$1$	$3$	$3$	$106.203$	3.3.121909.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(9\)		$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(3-\beta _{1})q^{7}+(3-\beta _{1}-\beta _{2})q^{11}+(5+\cdots)q^{13}+\cdots\)
1800.4.a.bw	$1800$	$4$	1800.a	1.a	$1$	$4$	$4$	$106.203$	\(\Q(\sqrt{6}, \sqrt{46})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+2\beta _{2})q^{11}+\cdots\)