Newform search results

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

Results (20 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
3600.2.a.b	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-5q^{7}+5q^{13}+q^{19}+7q^{31}-10q^{37}+\cdots\)
3600.2.a.f	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}-2q^{13}+6q^{17}+4q^{19}+6q^{29}+\cdots\)
3600.2.a.i	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}+2q^{11}-3q^{13}-6q^{17}+7q^{19}+\cdots\)
3600.2.a.j	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{7}+2q^{11}-q^{13}+2q^{17}+5q^{19}+\cdots\)
3600.2.a.k	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-4q^{11}+4q^{13}+4q^{19}-2q^{23}+\cdots\)
3600.2.a.m	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+q^{11}+4q^{13}-5q^{17}-q^{19}+\cdots\)
3600.2.a.n	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+2q^{11}-2q^{13}+6q^{17}-8q^{19}+\cdots\)
3600.2.a.p	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}-4q^{11}-q^{13}+4q^{17}-q^{19}+\cdots\)
3600.2.a.r	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}+4q^{11}-q^{13}-4q^{17}-q^{19}+\cdots\)
3600.2.a.s	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}+6q^{11}-5q^{13}-6q^{17}-5q^{19}+\cdots\)
3600.2.a.u	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots\)
3600.2.a.x	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+q^{7}-7q^{13}+7q^{19}-11q^{31}-10q^{37}+\cdots\)
3600.2.a.bb	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-4q^{11}-4q^{13}+4q^{19}+2q^{23}+\cdots\)
3600.2.a.bc	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-3q^{11}+4q^{13}-3q^{17}-5q^{19}+\cdots\)
3600.2.a.bd	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-2q^{11}-4q^{13}+2q^{17}-4q^{19}+\cdots\)
3600.2.a.be	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-2q^{13}-6q^{17}+4q^{19}-6q^{23}+\cdots\)
3600.2.a.bh	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+2q^{11}-4q^{13}-2q^{17}-4q^{19}+\cdots\)
3600.2.a.bi	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+2q^{11}+2q^{13}-6q^{17}-8q^{19}+\cdots\)
3600.2.a.bq	$3600$	$2$	3600.a	1.a	$1$	$1$	$1$	$28.746$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{7}-6q^{11}-3q^{13}+2q^{17}-q^{19}+\cdots\)
3600.2.a.bs	$3600$	$2$	3600.a	1.a	$1$	$2$	$2$	$28.746$	\(\Q(\sqrt{5}) \)	\(\Q(\sqrt{-15}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{2}$	$N(\mathrm{U}(1))$	\(q-\beta q^{17}-4q^{19}+2\beta q^{23}-8q^{31}+\cdots\)