Newform search results

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

Results (8 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	13
2535.2.a.b	$2535$	$2$	2535.a	1.a	$1$	$1$	$1$	$20.242$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(1\)	\(-1\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+3q^{7}+\cdots\)
2535.2.a.h	$2535$	$2$	2535.a	1.a	$1$	$1$	$1$	$20.242$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+6q^{11}+\cdots\)
2535.2.a.k	$2535$	$2$	2535.a	1.a	$1$	$1$	$1$	$20.242$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
2535.2.a.m	$2535$	$2$	2535.a	1.a	$1$	$1$	$1$	$20.242$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(-1\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}+5q^{7}+\cdots\)
2535.2.a.r	$2535$	$2$	2535.a	1.a	$1$	$2$	$2$	$20.242$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}-q^{5}+\cdots\)
2535.2.a.u	$2535$	$2$	2535.a	1.a	$1$	$3$	$3$	$20.242$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-2\)	\(3\)	\(-3\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
2535.2.a.be	$2535$	$2$	2535.a	1.a	$1$	$3$	$3$	$20.242$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(-3\)	\(-12\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
2535.2.a.bh	$2535$	$2$	2535.a	1.a	$1$	$3$	$3$	$20.242$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(3\)	\(3\)	\(-3\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{2}+q^{3}+(4-\beta _{1})q^{4}+\cdots\)