Newform search results

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

Results (36 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
6400.2.a.c	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{7}-2q^{9}+3q^{11}+q^{17}+\cdots\)
6400.2.a.f	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}-2q^{9}-5q^{11}+6q^{13}+\cdots\)
6400.2.a.g	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}-2q^{9}+5q^{11}-6q^{13}+\cdots\)
6400.2.a.h	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}-2q^{9}-3q^{11}-q^{17}+\cdots\)
6400.2.a.k	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}-6q^{13}+8q^{17}+4q^{29}-2q^{37}+\cdots\)
6400.2.a.m	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}+4q^{13}+2q^{17}-4q^{29}-12q^{37}+\cdots\)
6400.2.a.n	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-3q^{9}+6q^{13}-8q^{17}+4q^{29}+2q^{37}+\cdots\)
6400.2.a.q	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{7}-2q^{9}+3q^{11}-q^{17}+\cdots\)
6400.2.a.t	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}-2q^{9}-5q^{11}+6q^{13}+\cdots\)
6400.2.a.u	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}-2q^{9}+5q^{11}-6q^{13}+\cdots\)
6400.2.a.v	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{7}-2q^{9}-3q^{11}+q^{17}+\cdots\)
6400.2.a.x	$6400$	$2$	6400.a	1.a	$1$	$1$	$1$	$51.104$	\(\Q\)	\(\Q(\sqrt{-2}) \)	✓	$2$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+2q^{3}+q^{9}-6q^{11}+6q^{17}-2q^{19}+\cdots\)
6400.2.a.y	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-3+\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.z	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(-1-\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.ba	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta q^{7}-2q^{9}-3q^{11}+\beta q^{13}+\cdots\)
6400.2.a.bb	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta q^{7}-2q^{9}+3q^{11}-\beta q^{13}+\cdots\)
6400.2.a.bc	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{6}) \)	\(\Q(\sqrt{-2}) \)	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(-1+\beta )q^{3}+(4-2\beta )q^{9}+(-3+\beta )q^{11}+\cdots\)
6400.2.a.bd	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{6}) \)	\(\Q(\sqrt{-2}) \)	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(-1+\beta )q^{3}+(4-2\beta )q^{9}+(3-\beta )q^{11}+\cdots\)
6400.2.a.bf	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(3-\beta )q^{7}+(1-2\beta )q^{9}+\cdots\)
6400.2.a.bg	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-4q^{7}+4q^{9}+\beta q^{11}-3q^{17}+\cdots\)
6400.2.a.bh	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-4q^{7}+4q^{9}-\beta q^{11}+3q^{17}+\cdots\)
6400.2.a.bi	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-10}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$N(\mathrm{U}(1))$	\(q+\beta q^{7}-3q^{9}-2q^{11}-\beta q^{13}+6q^{19}+\cdots\)
6400.2.a.bm	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{7}-q^{9}+2\beta q^{11}-2q^{13}+\cdots\)
6400.2.a.bn	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+3\beta q^{7}-q^{9}-4\beta q^{11}+2q^{13}+\cdots\)
6400.2.a.bo	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{7}-q^{9}+2\beta q^{11}+2q^{13}+\cdots\)
6400.2.a.bq	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+2q^{9}-\beta q^{11}-4q^{13}-3q^{17}+\cdots\)
6400.2.a.br	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+2q^{9}+\beta q^{11}-4q^{13}+3q^{17}+\cdots\)
6400.2.a.bu	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{7}+3q^{9}+2\beta q^{11}-4q^{17}+\cdots\)
6400.2.a.bw	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{6}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{7}+3q^{9}-2\beta q^{11}+4q^{17}+\cdots\)
6400.2.a.bz	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{10}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{7}+7q^{9}-6q^{13}+2q^{17}+\cdots\)
6400.2.a.ce	$6400$	$2$	6400.a	1.a	$1$	$2$	$2$	$51.104$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1+\beta )q^{7}+(1+2\beta )q^{9}+\cdots\)
6400.2.a.cm	$6400$	$2$	6400.a	1.a	$1$	$4$	$4$	$51.104$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{2}q^{7}-q^{9}-\beta _{3}q^{11}-2\beta _{2}q^{17}+\cdots\)
6400.2.a.cn	$6400$	$2$	6400.a	1.a	$1$	$4$	$4$	$51.104$	\(\Q(\sqrt{2}, \sqrt{5})\)	\(\Q(\sqrt{-5}) \)	✓	$8$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{3}$	$N(\mathrm{U}(1))$	\(q+\beta _{1}q^{3}+\beta _{2}q^{7}-q^{9}+\beta _{3}q^{21}-3\beta _{2}q^{23}+\cdots\)
6400.2.a.cp	$6400$	$2$	6400.a	1.a	$1$	$4$	$4$	$51.104$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+\beta _{1}q^{7}+2q^{9}-\beta _{3}q^{11}+\cdots\)
6400.2.a.cq	$6400$	$2$	6400.a	1.a	$1$	$4$	$4$	$51.104$	\(\Q(\zeta_{24})^+\)	\(\Q(\sqrt{-2}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{3}$	$N(\mathrm{U}(1))$	\(q+\beta _{1}q^{3}+(2+\beta _{3})q^{9}+(-2\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
6400.2.a.ct	$6400$	$2$	6400.a	1.a	$1$	$4$	$4$	$51.104$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+\beta _{1}q^{7}+3q^{9}-2q^{11}-4\beta _{1}q^{13}+\cdots\)