Newform search results

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

Results (23 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	11
1815.4.a.a	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-5\)	\(-20\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-3q^{3}+q^{4}-5q^{5}+9q^{6}+\cdots\)
1815.4.a.b	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(-5\)	\(33\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}-7q^{4}-5q^{5}+3q^{6}+\cdots\)
1815.4.a.d	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(3\)	\(5\)	\(-9\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}-7q^{4}+5q^{5}-3q^{6}+\cdots\)
1815.4.a.e	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(3\)	\(5\)	\(24\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}-7q^{4}+5q^{5}-3q^{6}+\cdots\)
1815.4.a.f	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-5\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{4}-5q^{5}-2q^{7}+9q^{9}+\cdots\)
1815.4.a.g	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(-5\)	\(-33\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}-7q^{4}-5q^{5}-3q^{6}+\cdots\)
1815.4.a.h	$1815$	$4$	1815.a	1.a	$1$	$1$	$1$	$107.088$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(3\)	\(5\)	\(9\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}-7q^{4}+5q^{5}+3q^{6}+\cdots\)
1815.4.a.i	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$1$	\(-1\)	\(6\)	\(10\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+3q^{3}+(2+\beta )q^{4}+5q^{5}-3\beta q^{6}+\cdots\)
1815.4.a.j	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}-5q^{5}+\beta q^{7}+9q^{9}+\cdots\)
1815.4.a.k	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{2}+3q^{3}+4q^{4}-5q^{5}+6\beta q^{6}+\cdots\)
1815.4.a.m	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{15}) \)	None	✓	$2$	$1$	\(0\)	\(6\)	\(-10\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{3}+7q^{4}-5q^{5}+3\beta q^{6}+\cdots\)
1815.4.a.o	$1815$	$4$	1815.a	1.a	$1$	$2$	$2$	$107.088$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$1$	\(1\)	\(6\)	\(10\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{3}+(2+\beta )q^{4}+5q^{5}+3\beta q^{6}+\cdots\)
1815.4.a.s	$1815$	$4$	1815.a	1.a	$1$	$3$	$3$	$107.088$	3.3.23612.1	None	✓	$1$	$1$	\(4\)	\(-9\)	\(-15\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-3q^{3}+(7+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1815.4.a.t	$1815$	$4$	1815.a	1.a	$1$	$4$	$4$	$107.088$	4.4.1540841.1	None	✓	$1$	$1$	\(-4\)	\(12\)	\(20\)	\(-34\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(7-\beta _{1}+\beta _{3})q^{4}+\cdots\)
1815.4.a.u	$1815$	$4$	1815.a	1.a	$1$	$4$	$4$	$107.088$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-12\)	\(-20\)	\(-45\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(6+\beta _{2})q^{4}-5q^{5}+\cdots\)
1815.4.a.v	$1815$	$4$	1815.a	1.a	$1$	$4$	$4$	$107.088$	4.4.744012.1	None	✓	$2$	$1$	\(0\)	\(-12\)	\(20\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(3+\beta _{3})q^{4}+5q^{5}+\cdots\)
1815.4.a.w	$1815$	$4$	1815.a	1.a	$1$	$4$	$4$	$107.088$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-12\)	\(-20\)	\(45\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(6+\beta _{2})q^{4}-5q^{5}+\cdots\)
1815.4.a.z	$1815$	$4$	1815.a	1.a	$1$	$6$	$6$	$107.088$	6.6.7598722752.1	None	✓	$2$	$1$	\(0\)	\(-18\)	\(30\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{3})q^{2}-3q^{3}+(2-\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
1815.4.a.be	$1815$	$4$	1815.a	1.a	$1$	$8$	$8$	$107.088$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(24\)	\(-40\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{4})q^{4}-5q^{5}+\cdots\)
1815.4.a.bg	$1815$	$4$	1815.a	1.a	$1$	$12$	$12$	$107.088$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-9\)	\(36\)	\(-60\)	\(-21\)		$-$	$+$	$+$	$-$	$5\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1815.4.a.bh	$1815$	$4$	1815.a	1.a	$1$	$12$	$12$	$107.088$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(36\)	\(60\)	\(-77\)		$-$	$-$	$-$	$-$	$5\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(5-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1815.4.a.bi	$1815$	$4$	1815.a	1.a	$1$	$12$	$12$	$107.088$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-36\)	\(60\)	\(5\)		$+$	$-$	$+$	$-$	$11^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+5q^{5}+\cdots\)
1815.4.a.bm	$1815$	$4$	1815.a	1.a	$1$	$12$	$12$	$107.088$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-36\)	\(-60\)	\(-51\)		$+$	$+$	$-$	$-$	$11^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)