Newform search results

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

Results (18 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	19
2736.2.a.a	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-4\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-4q^{7}-4q^{11}-4q^{13}-6q^{17}+\cdots\)
2736.2.a.b	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-6q^{11}+2q^{13}-4q^{17}+q^{19}+\cdots\)
2736.2.a.d	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{11}+2q^{13}+6q^{17}+q^{19}+\cdots\)
2736.2.a.g	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+2q^{11}+2q^{13}-6q^{17}+q^{19}+\cdots\)
2736.2.a.h	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}-3q^{11}-6q^{13}-3q^{17}+\cdots\)
2736.2.a.i	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-5q^{11}-2q^{13}+q^{17}+\cdots\)
2736.2.a.k	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}+2q^{11}+q^{13}+5q^{17}-q^{19}+\cdots\)
2736.2.a.q	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}+5q^{11}-4q^{13}+3q^{17}+\cdots\)
2736.2.a.s	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+6q^{13}+6q^{17}+q^{19}+4q^{23}+\cdots\)
2736.2.a.u	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+3q^{7}-q^{11}-2q^{13}+5q^{17}+\cdots\)
2736.2.a.v	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+5q^{7}+q^{11}+2q^{13}+q^{17}+\cdots\)
2736.2.a.w	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-3q^{7}+2q^{11}-q^{13}-3q^{17}+\cdots\)
2736.2.a.x	$2736$	$2$	2736.a	1.a	$1$	$1$	$1$	$21.847$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+6q^{11}+2q^{13}+4q^{17}+q^{19}+\cdots\)
2736.2.a.z	$2736$	$2$	2736.a	1.a	$1$	$2$	$2$	$21.847$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{5}-\beta q^{7}+(4-\beta )q^{11}-2\beta q^{13}+\cdots\)
2736.2.a.bb	$2736$	$2$	2736.a	1.a	$1$	$2$	$2$	$21.847$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(2-\beta )q^{7}+(2-\beta )q^{11}+6q^{13}+\cdots\)
2736.2.a.bc	$2736$	$2$	2736.a	1.a	$1$	$3$	$3$	$21.847$	3.3.892.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
2736.2.a.be	$2736$	$2$	2736.a	1.a	$1$	$3$	$3$	$21.847$	3.3.892.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+(3+\cdots)q^{11}+\cdots\)
2736.2.a.bf	$2736$	$2$	2736.a	1.a	$1$	$4$	$4$	$21.847$	4.4.13068.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+(-1-\beta _{1})q^{7}+\beta _{3}q^{11}+\cdots\)