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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 1398 matches)

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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
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8010.2.a.bd	$8010$	$2$	8010.a	1.a	$1$	$4$	$4$	$63.960$	4.4.47032.1	None	✓	$1$	$1$	$-4$	$0$	$4$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots$
8010.2.a.be	$8010$	$2$	8010.a	1.a	$1$	$4$	$4$	$63.960$	4.4.31288.1	None	✓	$1$	$0$	$4$	$0$	$-4$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{5}+(\beta _{1}-\beta _{3})q^{7}+q^{8}+\cdots$
8016.2.a.o	$8016$	$2$	8016.a	1.a	$1$	$4$	$4$	$64.008$	4.4.2777.1	None	✓	$1$	$0$	$0$	$4$	$5$	$-1$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}+(1-\beta _{1})q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots$
8025.2.a.w	$8025$	$2$	8025.a	1.a	$1$	$4$	$4$	$64.080$	4.4.1957.1	None	✓	$1$	$0$	$3$	$-4$	$0$	$8$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{2}-q^{3}+(1-\beta _{1}-\beta _{3})q^{4}+\cdots$
8030.2.a.u	$8030$	$2$	8030.a	1.a	$1$	$4$	$4$	$64.120$	4.4.3981.1	None	✓	$1$	$1$	$4$	$-1$	$4$	$-12$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{3}q^{3}+q^{4}+q^{5}+\beta _{3}q^{6}+\cdots$
8034.2.a.n	$8034$	$2$	8034.a	1.a	$1$	$4$	$4$	$64.152$	4.4.72329.1	None	✓	$1$	$0$	$4$	$4$	$2$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(1+\beta _{2})q^{5}+q^{6}+\cdots$
8036.2.a.i	$8036$	$2$	8036.a	1.a	$1$	$4$	$4$	$64.168$	4.4.25808.1	None	✓	$1$	$0$	$0$	$-2$	$-4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}-\beta _{2})q^{3}+(-2+\beta _{2}-\beta _{3})q^{5}+\cdots$
8037.2.a.g	$8037$	$2$	8037.a	1.a	$1$	$4$	$4$	$64.176$	4.4.2777.1	None	✓	$1$	$0$	$0$	$0$	$-2$	$-5$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(1-\beta _{3})q^{4}-\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots$
8037.2.a.h	$8037$	$2$	8037.a	1.a	$1$	$4$	$4$	$64.176$	4.4.1957.1	None	✓	$1$	$1$	$0$	$0$	$-5$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{2}+\beta _{3})q^{2}+(1+\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots$
8050.2.a.bo	$8050$	$2$	8050.a	1.a	$1$	$4$	$4$	$64.280$	4.4.25492.1	None	✓	$1$	$0$	$-4$	$0$	$0$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{7}+\cdots$
8050.2.a.bp	$8050$	$2$	8050.a	1.a	$1$	$4$	$4$	$64.280$	4.4.63796.1	None	✓	$1$	$0$	$4$	$0$	$0$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-q^{7}+\cdots$
8050.2.a.bq	$8050$	$2$	8050.a	1.a	$1$	$4$	$4$	$64.280$	4.4.25492.1	None	✓	$1$	$0$	$4$	$0$	$0$	$4$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{7}+\cdots$
8058.2.a.l	$8058$	$2$	8058.a	1.a	$1$	$4$	$4$	$64.343$	4.4.32832.1	None	✓	$1$	$0$	$-4$	$-4$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-\beta _{3}q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots$
8058.2.a.m	$8058$	$2$	8058.a	1.a	$1$	$4$	$4$	$64.343$	4.4.191969.1	None	✓	$1$	$0$	$4$	$4$	$-1$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+(1+\cdots)q^{7}+\cdots$
8062.2.a.f	$8062$	$2$	8062.a	1.a	$1$	$4$	$4$	$64.375$	4.4.22676.1	None	✓	$1$	$1$	$-4$	$-1$	$8$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}+\beta _{1}q^{6}+\cdots$
8064.2.j.a	$8064$	$2$	8064.j	24.f	$2$	$4$	$4$	$64.391$	$\Q(\zeta_{8})$	None		$4$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{8}^{3}q^{5}+\zeta_{8}q^{7}+2\zeta_{8}^{2}q^{11}+2\zeta_{8}q^{13}+\cdots$
8064.2.j.b	$8064$	$2$	8064.j	24.f	$2$	$4$	$4$	$64.391$	$\Q(\zeta_{8})$	None		$4$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{8}^{3}q^{5}+\zeta_{8}q^{7}+2\zeta_{8}^{2}q^{11}-2\zeta_{8}q^{13}+\cdots$
8075.2.a.j	$8075$	$2$	8075.a	1.a	$1$	$4$	$4$	$64.479$	4.4.1957.1	None	✓	$1$	$0$	$0$	$1$	$0$	$11$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{2}+(\beta _{1}+\beta _{3})q^{3}+\cdots$
8075.2.a.k	$8075$	$2$	8075.a	1.a	$1$	$4$	$4$	$64.479$	4.4.16317.1	None	✓	$1$	$0$	$2$	$2$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots$
8076.2.a.d	$8076$	$2$	8076.a	1.a	$1$	$4$	$4$	$64.487$	4.4.91344.1	None	✓	$1$	$0$	$0$	$-4$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta _{1})q^{5}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$
8080.2.a.m	$8080$	$2$	8080.a	1.a	$1$	$4$	$4$	$64.519$	4.4.11348.1	None	✓	$1$	$0$	$0$	$2$	$-4$	$7$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta _{2})q^{3}-q^{5}+(2-\beta _{1})q^{7}+(2+\cdots)q^{9}+\cdots$
8082.2.a.v	$8082$	$2$	8082.a	1.a	$1$	$4$	$4$	$64.535$	4.4.13448.1	None	✓	$1$	$0$	$-4$	$0$	$-3$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1-\beta _{3})q^{5}+(-1-\beta _{3})q^{7}+\cdots$
8082.2.a.w	$8082$	$2$	8082.a	1.a	$1$	$4$	$4$	$64.535$	4.4.4525.1	None	✓	$1$	$1$	$4$	$0$	$-3$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1+\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots$
8085.2.a.bn	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.13448.1	None	✓	$1$	$1$	$0$	$-4$	$4$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
8085.2.a.bo	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.34196.1	None	✓	$1$	$0$	$1$	$-4$	$-4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2})q^{2}-q^{3}+(2-\beta _{2})q^{4}+\cdots$
8085.2.a.bp	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.34196.1	None	✓	$1$	$0$	$1$	$4$	$4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2})q^{2}+q^{3}+(2-\beta _{2})q^{4}+\cdots$
8085.2.a.bq	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.7232.1	None	✓	$1$	$0$	$2$	$4$	$-4$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+q^{3}+(1-\beta _{2}-\beta _{3})q^{4}-q^{5}+\cdots$
8092.2.a.q	$8092$	$2$	8092.a	1.a	$1$	$4$	$4$	$64.615$	4.4.1957.1	None	✓	$1$	$1$	$0$	$-4$	$-2$	$4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{2})q^{3}+(-1+\beta _{3})q^{5}+q^{7}+\cdots$
8092.2.a.r	$8092$	$2$	8092.a	1.a	$1$	$4$	$4$	$64.615$	4.4.1957.1	None	✓	$1$	$0$	$0$	$4$	$2$	$-4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1-\beta _{2})q^{3}+(1-\beta _{3})q^{5}-q^{7}+(2+\cdots)q^{9}+\cdots$
8100.2.a.w	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	$\Q(\sqrt{3}, \sqrt{7})$	None	✓	$2$	$1$	$0$	$0$	$0$	$-2$	$+$	$3$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{7}-\beta _{3}q^{11}+\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots$
8100.2.a.x	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	4.4.3981.1	None	✓	$1$	$1$	$0$	$0$	$0$	$-1$	$+$	$3^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{7}+(-1-\beta _{2})q^{11}-\beta _{1}q^{13}+\cdots$
8100.2.a.y	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	4.4.3981.1	None	✓	$1$	$0$	$0$	$0$	$0$	$-1$	$-$	$3^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{7}+(1+\beta _{2})q^{11}-\beta _{1}q^{13}+(2+\cdots)q^{17}+\cdots$
8100.2.a.z	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	4.4.3981.1	None	✓	$1$	$0$	$0$	$0$	$0$	$1$	$-$	$3^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{7}+(-1-\beta _{2})q^{11}+\beta _{1}q^{13}+\cdots$
8100.2.a.ba	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	4.4.3981.1	None	✓	$1$	$1$	$0$	$0$	$0$	$1$	$+$	$3^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{7}+(1+\beta _{2})q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots$
8100.2.a.bb	$8100$	$2$	8100.a	1.a	$1$	$4$	$4$	$64.679$	$\Q(\sqrt{3}, \sqrt{7})$	None	✓	$2$	$0$	$0$	$0$	$0$	$2$	$-$	$3$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{7}+\beta _{3}q^{11}-\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots$
8100.2.d.k	$8100$	$2$	8100.d	5.b	$2$	$4$	$4$	$64.679$	$\Q(i, \sqrt{5})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{7}+(-2+\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
8100.2.d.l	$8100$	$2$	8100.d	5.b	$2$	$4$	$4$	$64.679$	$\Q(\zeta_{12})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots$
8100.2.d.m	$8100$	$2$	8100.d	5.b	$2$	$4$	$4$	$64.679$	$\Q(\zeta_{12})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots$
8100.2.d.n	$8100$	$2$	8100.d	5.b	$2$	$4$	$4$	$64.679$	$\Q(i, \sqrt{5})$	None		$2$	$0$	$0$	$0$	$0$	$0$		$3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{7}+(2-\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
8106.2.a.o	$8106$	$2$	8106.a	1.a	$1$	$4$	$4$	$64.727$	4.4.11348.1	None	✓	$1$	$1$	$-4$	$4$	$0$	$-4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$
8109.2.a.n	$8109$	$2$	8109.a	1.a	$1$	$4$	$4$	$64.751$	4.4.7537.1	None	✓	$1$	$1$	$-1$	$0$	$-3$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots$
8112.2.a.cq	$8112$	$2$	8112.a	1.a	$1$	$4$	$4$	$64.775$	4.4.25488.1	None	✓	$1$	$0$	$0$	$-4$	$-4$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$
8112.2.a.cr	$8112$	$2$	8112.a	1.a	$1$	$4$	$4$	$64.775$	$\Q(\sqrt{3}, \sqrt{43})$	None	✓	$2$	$1$	$0$	$-4$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+q^{9}+\cdots$
8112.2.a.cs	$8112$	$2$	8112.a	1.a	$1$	$4$	$4$	$64.775$	4.4.25488.1	None	✓	$1$	$0$	$0$	$-4$	$4$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$
8118.2.a.bk	$8118$	$2$	8118.a	1.a	$1$	$4$	$4$	$64.823$	$\Q(\sqrt{2}, \sqrt{5})$	None	✓	$1$	$0$	$-4$	$0$	$0$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta _{2}q^{5}+(-1+\beta _{1}+\beta _{3})q^{7}+\cdots$
8118.2.a.bl	$8118$	$2$	8118.a	1.a	$1$	$4$	$4$	$64.823$	4.4.71540.1	None	✓	$1$	$0$	$4$	$0$	$-1$	$-1$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-\beta _{3}q^{5}-\beta _{3}q^{7}+q^{8}+\cdots$
8118.2.a.bm	$8118$	$2$	8118.a	1.a	$1$	$4$	$4$	$64.823$	$\Q(\sqrt{2}, \sqrt{5})$	None	✓	$1$	$1$	$4$	$0$	$0$	$-4$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta _{2}q^{5}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$
8122.2.a.b	$8122$	$2$	8122.a	1.a	$1$	$4$	$4$	$64.854$	4.4.1957.1	None	✓	$1$	$0$	$-4$	$3$	$-4$	$-6$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{1}-\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots$
8134.2.a.p	$8134$	$2$	8134.a	1.a	$1$	$4$	$4$	$64.950$	4.4.6224.1	None	✓	$1$	$1$	$-4$	$-4$	$-6$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-2-\beta _{1}+\cdots)q^{5}+\cdots$
8134.2.a.q	$8134$	$2$	8134.a	1.a	$1$	$4$	$4$	$64.950$	4.4.7168.1	None	✓	$1$	$0$	$-4$	$-4$	$-4$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1-\beta _{3})q^{5}+\cdots$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.