Newform search results

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

Results (13 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
1728.2.a.c	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-q^{7}+3q^{11}+4q^{13}-2q^{19}+\cdots\)
1728.2.a.d	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+q^{7}-3q^{11}+4q^{13}+2q^{19}+\cdots\)
1728.2.a.e	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-3q^{7}+6q^{11}+3q^{13}-2q^{17}+\cdots\)
1728.2.a.f	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-q^{7}+2q^{11}-q^{13}+6q^{17}+\cdots\)
1728.2.a.k	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-3q^{11}-4q^{17}-6q^{19}+\cdots\)
1728.2.a.n	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-q^{7}-5q^{13}+7q^{19}-5q^{25}-4q^{31}+\cdots\)
1728.2.a.o	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+q^{7}-5q^{13}-7q^{19}-5q^{25}+4q^{31}+\cdots\)
1728.2.a.q	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}-3q^{11}+4q^{17}+6q^{19}+\cdots\)
1728.2.a.r	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}+5q^{11}-4q^{13}-8q^{17}+\cdots\)
1728.2.a.s	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}-5q^{11}-4q^{13}-8q^{17}+\cdots\)
1728.2.a.u	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-3q^{7}-6q^{11}+3q^{13}+2q^{17}+\cdots\)
1728.2.a.v	$1728$	$2$	1728.a	1.a	$1$	$1$	$1$	$13.798$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-q^{7}-2q^{11}-q^{13}-6q^{17}+\cdots\)
1728.2.a.bc	$1728$	$2$	1728.a	1.a	$1$	$2$	$2$	$13.798$	\(\Q(\sqrt{13}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+\beta q^{7}-q^{11}-4q^{13}+2\beta q^{19}+\cdots\)