Newform search results

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

Results (10 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	5	19
7600.2.a.g	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				190.2.a.a	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{7}-2q^{9}+3q^{13}+7q^{17}+\cdots\)
7600.2.a.h	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				38.2.a.b	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots\)
7600.2.a.p	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				76.2.a.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-3q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots\)
7600.2.a.r	$7600$	$2$	7600.a	1.a	$1$	$1$	$1$	$60.686$	\(\Q\)	None	✓				380.2.a.b	$1$	$1$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+2q^{7}+q^{9}-6q^{13}-2q^{17}+\cdots\)
7600.2.a.u	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{2}) \)	None	✓				380.2.a.c	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(-2-2\beta )q^{7}+(3-4\beta )q^{9}+\cdots\)
7600.2.a.y	$7600$	$2$	7600.a	1.a	$1$	$2$	$2$	$60.686$	\(\Q(\sqrt{17}) \)	None	✓				190.2.a.d	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
7600.2.a.bj	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓				1900.2.a.f	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots\)
7600.2.a.bm	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.257.1	None	✓				950.2.a.k	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{1}-2\beta _{2})q^{7}+\cdots\)
7600.2.a.bw	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	\(\Q(\zeta_{14})^+\)	None	✓				475.2.a.d	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(1-\beta _{1}+2\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.bx	$7600$	$2$	7600.a	1.a	$1$	$3$	$3$	$60.686$	3.3.148.1	None	✓				95.2.a.a	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(\beta _{1}-\beta _{2})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)