Newform search results

Results (1-50 of 19770 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
167.2.a.b	$167$	$2$	167.a	1.a	$1$	$12$	$12$	$1.334$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(3\)	\(4\)	\(11\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{4}+\beta _{6}+\beta _{7}+\cdots)q^{4}+\cdots\)
179.2.a.c	$179$	$2$	179.a	1.a	$1$	$11$	$11$	$1.429$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
191.2.a.b	$191$	$2$	191.a	1.a	$1$	$14$	$14$	$1.525$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots\)
223.2.a.c	$223$	$2$	223.a	1.a	$1$	$12$	$12$	$1.781$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(0\)	\(7\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+\beta _{4}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
229.2.a.c	$229$	$2$	229.a	1.a	$1$	$11$	$11$	$1.829$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(3\)	\(0\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
233.2.a.c	$233$	$2$	233.a	1.a	$1$	$11$	$11$	$1.861$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(10\)	\(-1\)	\(15\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(1-\beta _{1})q^{3}+(2-\beta _{3}+\beta _{7}+\cdots)q^{4}+\cdots\)
239.2.a.b	$239$	$2$	239.a	1.a	$1$	$17$	$17$	$1.908$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(6\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{12}q^{3}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}+\cdots\)
241.2.a.b	$241$	$2$	241.a	1.a	$1$	$12$	$12$	$1.924$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(1\)	\(6\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{9}+\cdots)q^{5}+\cdots\)
251.2.a.b	$251$	$2$	251.a	1.a	$1$	$17$	$17$	$2.004$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(2+\beta _{2})q^{4}-\beta _{7}q^{5}+\cdots\)
257.2.a.b	$257$	$2$	257.a	1.a	$1$	$14$	$14$	$2.052$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(3\)	\(-1\)	\(24\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{6}q^{2}+\beta _{5}q^{3}+(1+\beta _{1})q^{4}-\beta _{11}q^{5}+\cdots\)
263.2.a.b	$263$	$2$	263.a	1.a	$1$	$17$	$17$	$2.100$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(7\)	\(3\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(1+\beta _{2})q^{4}-\beta _{13}q^{5}+\cdots\)
269.2.a.c	$269$	$2$	269.a	1.a	$1$	$16$	$16$	$2.148$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(5\)	\(-1\)	\(11\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{7}q^{3}+(2+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)
271.2.a.b	$271$	$2$	271.a	1.a	$1$	$16$	$16$	$2.164$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(1\)	\(10\)	\(-3\)	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{11}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
281.2.a.b	$281$	$2$	281.a	1.a	$1$	$16$	$16$	$2.244$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(4\)	\(2\)	\(16\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{12}q^{3}+(1+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
283.2.a.b	$283$	$2$	283.a	1.a	$1$	$14$	$14$	$2.260$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(4\)	\(14\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
293.2.a.b	$293$	$2$	293.a	1.a	$1$	$16$	$16$	$2.340$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(10\)	\(1\)	\(15\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{9})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
313.2.a.b	$313$	$2$	313.a	1.a	$1$	$11$	$11$	$2.499$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(-8\)	\(-6\)	\(-14\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{7})q^{3}+(1+\cdots)q^{4}+\cdots\)
313.2.a.c	$313$	$2$	313.a	1.a	$1$	$12$	$12$	$2.499$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(1\)	\(-1\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+\beta _{8}q^{3}+(2-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
317.2.a.a	$317$	$2$	317.a	1.a	$1$	$11$	$11$	$2.531$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-11\)	\(-4\)	\(-20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(\beta _{1}-\beta _{2}-\beta _{4}-\beta _{5}-\beta _{9}+\cdots)q^{3}+\cdots\)
317.2.a.b	$317$	$2$	317.a	1.a	$1$	$15$	$15$	$2.531$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(11\)	\(2\)	\(20\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
331.2.a.d	$331$	$2$	331.a	1.a	$1$	$16$	$16$	$2.643$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-1\)	\(20\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
335.2.a.e	$335$	$2$	335.a	1.a	$1$	$11$	$11$	$2.675$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(11\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
337.2.a.a	$337$	$2$	337.a	1.a	$1$	$12$	$12$	$2.691$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(-11\)	\(-10\)	\(-13\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1+\beta _{10})q^{3}+(1+\cdots)q^{4}+\cdots\)
337.2.a.b	$337$	$2$	337.a	1.a	$1$	$15$	$15$	$2.691$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(9\)	\(10\)	\(7\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{13})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
341.2.a.d	$341$	$2$	341.a	1.a	$1$	$11$	$11$	$2.723$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(4\)	\(3\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{7}q^{3}+(2+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
347.2.a.d	$347$	$2$	347.a	1.a	$1$	$19$	$19$	$2.771$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(7\)	\(10\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{11}+\cdots)q^{5}+\cdots\)
349.2.a.a	$349$	$2$	349.a	1.a	$1$	$11$	$11$	$2.787$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-6\)	\(-9\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{4}+\beta _{6}+\beta _{7}+\cdots)q^{3}+\cdots\)
349.2.a.b	$349$	$2$	349.a	1.a	$1$	$17$	$17$	$2.787$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(6\)	\(5\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
353.2.a.c	$353$	$2$	353.a	1.a	$1$	$11$	$11$	$2.819$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-5\)	\(-4\)	\(-25\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2}-\beta _{5}-\beta _{8}+\cdots)q^{3}+\cdots\)
353.2.a.d	$353$	$2$	353.a	1.a	$1$	$14$	$14$	$2.819$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-2\)	\(-4\)	\(29\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)
367.2.a.a	$367$	$2$	367.a	1.a	$1$	$11$	$11$	$2.931$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(-6\)	\(-8\)	\(-7\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1-\beta _{4})q^{3}+(2+\cdots)q^{4}+\cdots\)
367.2.a.b	$367$	$2$	367.a	1.a	$1$	$19$	$19$	$2.931$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(4\)	\(6\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{11}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
371.2.a.f	$371$	$2$	371.a	1.a	$1$	$11$	$11$	$2.962$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(2\)	\(11\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{5}q^{3}+(2+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
373.2.a.b	$373$	$2$	373.a	1.a	$1$	$12$	$12$	$2.978$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(-15\)	\(-11\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(-1-\beta _{1})q^{3}+(\beta _{5}-\beta _{8}+\cdots)q^{4}+\cdots\)
373.2.a.c	$373$	$2$	373.a	1.a	$1$	$17$	$17$	$2.978$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(14\)	\(9\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{5})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
379.2.a.a	$379$	$2$	379.a	1.a	$1$	$13$	$13$	$3.026$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-5\)	\(-20\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots\)
379.2.a.b	$379$	$2$	379.a	1.a	$1$	$18$	$18$	$3.026$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(1\)	\(22\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
389.2.a.e	$389$	$2$	389.a	1.a	$1$	$20$	$20$	$3.106$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(11\)	\(1\)	\(12\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
391.2.a.e	$391$	$2$	391.a	1.a	$1$	$12$	$12$	$3.122$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(2\)	\(5\)	\(-9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
395.2.a.h	$395$	$2$	395.a	1.a	$1$	$11$	$11$	$3.154$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-11\)	\(7\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(2+\beta _{2})q^{4}-q^{5}+\cdots\)
397.2.a.e	$397$	$2$	397.a	1.a	$1$	$13$	$13$	$3.170$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(-11\)	\(-5\)	\(-17\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1+\beta _{6})q^{3}+(1+\cdots)q^{4}+\cdots\)
401.2.a.a	$401$	$2$	401.a	1.a	$1$	$12$	$12$	$3.202$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-5\)	\(-7\)	\(-20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{9}q^{3}+(\beta _{2}+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots\)
407.2.a.c	$407$	$2$	407.a	1.a	$1$	$11$	$11$	$3.250$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{3}q^{3}+(1+\beta _{2})q^{4}+\beta _{9}q^{5}+\cdots\)
407.2.a.d	$407$	$2$	407.a	1.a	$1$	$12$	$12$	$3.250$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(8\)	\(5\)	\(7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{10})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
409.2.a.a	$409$	$2$	409.a	1.a	$1$	$13$	$13$	$3.266$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(-3\)	\(-10\)	\(-9\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
409.2.a.b	$409$	$2$	409.a	1.a	$1$	$20$	$20$	$3.266$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(1\)	\(8\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{10}q^{3}+(1+\beta _{2})q^{4}+\beta _{4}q^{5}+\cdots\)
415.2.a.e	$415$	$2$	415.a	1.a	$1$	$11$	$11$	$3.314$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(11\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{7}q^{3}+(2+\beta _{2})q^{4}+q^{5}+\cdots\)
421.2.a.a	$421$	$2$	421.a	1.a	$1$	$15$	$15$	$3.362$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(-9\)	\(-11\)	\(-5\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{14})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
421.2.a.b	$421$	$2$	421.a	1.a	$1$	$19$	$19$	$3.362$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(7\)	\(7\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{10}q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
433.2.a.c	$433$	$2$	433.a	1.a	$1$	$15$	$15$	$3.458$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(-8\)	\(-5\)	\(-15\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1+\beta _{10})q^{3}+(1+\cdots)q^{4}+\cdots\)