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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	151
7248.2.a.a	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-3\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-2q^{7}+q^{9}+3q^{11}+\cdots\)
7248.2.a.c	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-1\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}-2q^{7}+q^{9}-3q^{11}-5q^{13}+\cdots\)
7248.2.a.e	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots\)
7248.2.a.f	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(1\)	\(-3\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-2q^{7}+q^{9}-5q^{11}+\cdots\)
7248.2.a.g	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}+6q^{11}-6q^{13}+\cdots\)
7248.2.a.i	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
7248.2.a.j	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{9}+3q^{11}+3q^{13}+\cdots\)
7248.2.a.k	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-5q^{11}+6q^{13}+\cdots\)
7248.2.a.l	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}+q^{9}+5q^{11}-5q^{13}+\cdots\)
7248.2.a.m	$7248$	$2$	7248.a	1.a	$1$	$1$	$1$	$57.876$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(4\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{5}+3q^{7}+q^{9}-3q^{11}+\cdots\)
7248.2.a.o	$7248$	$2$	7248.a	1.a	$1$	$2$	$2$	$57.876$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta q^{5}+3q^{7}+q^{9}+(4-2\beta )q^{11}+\cdots\)
7248.2.a.s	$7248$	$2$	7248.a	1.a	$1$	$2$	$2$	$57.876$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+\beta )q^{5}+(-1+2\beta )q^{7}+q^{9}+\cdots\)
7248.2.a.u	$7248$	$2$	7248.a	1.a	$1$	$3$	$3$	$57.876$	3.3.316.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-3\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1+\beta _{2})q^{5}+(2+\beta _{2})q^{7}+\cdots\)
7248.2.a.v	$7248$	$2$	7248.a	1.a	$1$	$3$	$3$	$57.876$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-3\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{1}+\beta _{2})q^{5}+2\beta _{2}q^{7}+\cdots\)
7248.2.a.x	$7248$	$2$	7248.a	1.a	$1$	$3$	$3$	$57.876$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta _{1}q^{5}+(2+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
7248.2.a.bb	$7248$	$2$	7248.a	1.a	$1$	$4$	$4$	$57.876$	4.4.25961.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(5\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{2})q^{5}+\beta _{1}q^{7}+q^{9}+(\beta _{2}+\cdots)q^{11}+\cdots\)
7248.2.a.bd	$7248$	$2$	7248.a	1.a	$1$	$4$	$4$	$57.876$	4.4.16609.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(-1\)	\(-7\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(\beta _{2}+\beta _{3})q^{5}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
7248.2.a.bf	$7248$	$2$	7248.a	1.a	$1$	$4$	$4$	$57.876$	4.4.16609.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{2}-\beta _{3})q^{5}+\beta _{3}q^{7}+q^{9}+\cdots\)
7248.2.a.bh	$7248$	$2$	7248.a	1.a	$1$	$5$	$5$	$57.876$	5.5.459533.1	None	✓	$1$	$0$	\(0\)	\(-5\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(-\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots\)
7248.2.a.bi	$7248$	$2$	7248.a	1.a	$1$	$5$	$5$	$57.876$	5.5.1190005.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(-4\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1-\beta _{3})q^{5}+(1+\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
7248.2.a.bj	$7248$	$2$	7248.a	1.a	$1$	$5$	$5$	$57.876$	5.5.352076.1	None	✓	$1$	$0$	\(0\)	\(5\)	\(3\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+\beta _{2}+\beta _{3}+\beta _{4})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
7248.2.a.bk	$7248$	$2$	7248.a	1.a	$1$	$8$	$8$	$57.876$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(4\)	\(-8\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{4})q^{7}+\cdots\)
7248.2.a.bo	$7248$	$2$	7248.a	1.a	$1$	$11$	$11$	$57.876$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(11\)	\(5\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}+(1-\beta _{5})q^{7}+q^{9}-\beta _{6}q^{11}+\cdots\)
7248.2.a.bp	$7248$	$2$	7248.a	1.a	$1$	$12$	$12$	$57.876$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-12\)	\(8\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1-\beta _{1})q^{5}+\beta _{10}q^{7}+q^{9}+\cdots\)