Newform search results

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

Results (24 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11	19
9405.2.a.a	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-2q^{7}-2q^{10}+\cdots\)
9405.2.a.b	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}-2q^{10}-q^{11}+\cdots\)
9405.2.a.c	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(1\)	\(4\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+2q^{4}+q^{5}+4q^{7}-2q^{10}+\cdots\)
9405.2.a.h	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}+q^{11}+\cdots\)
9405.2.a.m	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}-2q^{10}+q^{11}+\cdots\)
9405.2.a.n	$9405$	$2$	9405.a	1.a	$1$	$1$	$1$	$75.099$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(4\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}-q^{5}+4q^{7}-2q^{10}+\cdots\)
9405.2.a.o	$9405$	$2$	9405.a	1.a	$1$	$2$	$2$	$75.099$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+2\beta q^{7}+\cdots\)
9405.2.a.q	$9405$	$2$	9405.a	1.a	$1$	$3$	$3$	$75.099$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-3\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
9405.2.a.r	$9405$	$2$	9405.a	1.a	$1$	$3$	$3$	$75.099$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-3\)	\(-5\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
9405.2.a.s	$9405$	$2$	9405.a	1.a	$1$	$3$	$3$	$75.099$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(3\)	\(-3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots\)
9405.2.a.t	$9405$	$2$	9405.a	1.a	$1$	$4$	$4$	$75.099$	4.4.132889.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(-4\)	\(-5\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}-q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
9405.2.a.w	$9405$	$2$	9405.a	1.a	$1$	$6$	$6$	$75.099$	6.6.131947641.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(5\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2}-\beta _{3})q^{4}-q^{5}+(1+\cdots)q^{7}+\cdots\)
9405.2.a.y	$9405$	$2$	9405.a	1.a	$1$	$6$	$6$	$75.099$	6.6.20413244.1	None	✓	$1$	$1$	\(2\)	\(0\)	\(6\)	\(-7\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{2}+\beta _{3})q^{4}+q^{5}+(-1+\cdots)q^{7}+\cdots\)
9405.2.a.bb	$9405$	$2$	9405.a	1.a	$1$	$7$	$7$	$75.099$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(7\)	\(-3\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1-\beta _{4}+\cdots)q^{7}+\cdots\)
9405.2.a.bc	$9405$	$2$	9405.a	1.a	$1$	$7$	$7$	$75.099$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-7\)	\(4\)		$-$	$+$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+\beta _{6}q^{4}-q^{5}+(-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots\)
9405.2.a.bd	$9405$	$2$	9405.a	1.a	$1$	$7$	$7$	$75.099$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(7\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
9405.2.a.bh	$9405$	$2$	9405.a	1.a	$1$	$9$	$9$	$75.099$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-9\)	\(13\)		$-$	$+$	$+$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{4}+\cdots)q^{7}+\cdots\)
9405.2.a.bi	$9405$	$2$	9405.a	1.a	$1$	$9$	$9$	$75.099$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(9\)	\(-9\)		$-$	$-$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{8})q^{4}+q^{5}+(-1+\cdots)q^{7}+\cdots\)
9405.2.a.bj	$9405$	$2$	9405.a	1.a	$1$	$9$	$9$	$75.099$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(9\)	\(3\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\beta _{7}q^{7}+\cdots\)
9405.2.a.bk	$9405$	$2$	9405.a	1.a	$1$	$9$	$9$	$75.099$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-9\)	\(-3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots\)
9405.2.a.bn	$9405$	$2$	9405.a	1.a	$1$	$10$	$10$	$75.099$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-10\)	\(-8\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}-q^{5}+(-1+\beta _{8}+\cdots)q^{7}+\cdots\)
9405.2.a.bo	$9405$	$2$	9405.a	1.a	$1$	$10$	$10$	$75.099$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(10\)	\(-8\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+q^{5}+(-1+\beta _{8}+\cdots)q^{7}+\cdots\)
9405.2.a.bq	$9405$	$2$	9405.a	1.a	$1$	$14$	$14$	$75.099$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(14\)	\(-12\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+q^{5}+(-1-\beta _{6}+\cdots)q^{7}+\cdots\)
9405.2.a.br	$9405$	$2$	9405.a	1.a	$1$	$14$	$14$	$75.099$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-14\)	\(-12\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(-1-\beta _{6}+\cdots)q^{7}+\cdots\)