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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 89 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	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	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2025.1.i.a	$2025$	$1$	2025.i	45.h	$6$	$4$	$2$	$1.011$	$\Q(\zeta_{12})$	$D_{3}$	$\Q(\sqrt{-3}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{5}q^{13}+\cdots$
2025.1.j.a	$2025$	$1$	2025.j	9.d	$6$	$2$	$1$	$1.011$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$-1$		$1$		$q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{7}-\zeta_{6}^{2}q^{13}-\zeta_{6}q^{16}+\cdots$
2025.1.j.b	$2025$	$1$	2025.j	9.d	$6$	$2$	$1$	$1.011$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$1$		$1$		$q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{13}-\zeta_{6}q^{16}+\cdots$
2025.1.j.c	$2025$	$1$	2025.j	9.d	$6$	$4$	$2$	$1.011$	$\Q(\zeta_{12})$	$D_{3}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{12}q^{2}+\zeta_{12}^{3}q^{8}-\zeta_{12}^{4}q^{16}+\cdots$
2025.1.p.a	$2025$	$1$	2025.p	45.k	$12$	$4$	$1$	$1.011$	$\Q(\zeta_{12})$	$D_{2}$	$\Q(\sqrt{-3}) $, $\Q(\sqrt{-15}) $	$\Q(\sqrt{5}) $		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{12}^{5}q^{4}-\zeta_{12}^{4}q^{16}-\zeta_{12}^{3}q^{19}+\cdots$
2025.1.p.b	$2025$	$1$	2025.p	45.k	$12$	$8$	$2$	$1.011$	$\Q(\zeta_{24})$	$D_{6}$	$\Q(\sqrt{-15}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$3^{2}$		$q+(-\zeta_{24}^{3}-\zeta_{24}^{7})q^{2}+(-\zeta_{24}^{2}+\zeta_{24}^{6}+\cdots)q^{4}+\cdots$
2025.1.p.c	$2025$	$1$	2025.p	45.k	$12$	$8$	$2$	$1.011$	$\Q(\zeta_{24})$	$D_{6}$	$\Q(\sqrt{-3}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$3^{2}$		$q-\zeta_{24}^{10}q^{4}+(-\zeta_{24}^{3}-\zeta_{24}^{7})q^{7}+\cdots$
2025.1.y.a	$2025$	$1$	2025.y	225.t	$30$	$16$	$2$	$1.011$	$\Q(\zeta_{60})$	$A_{5}$	None	None		$8$	$0$	$0$	$0$	$0$	$4$		$1$		$q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{2}+(\zeta_{60}^{10}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots$
2025.2.a.a	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+5q^{11}-4q^{13}-4q^{16}+\cdots$
2025.2.a.b	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$0$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{7}+3q^{8}-2q^{11}+\cdots$
2025.2.a.c	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}-3q^{11}+4q^{13}+4q^{16}+\cdots$
2025.2.a.d	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-2q^{7}+3q^{11}+4q^{13}+4q^{16}+\cdots$
2025.2.a.e	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{7}-3q^{8}+2q^{11}+\cdots$
2025.2.a.f	$2025$	$2$	2025.a	1.a	$1$	$1$	$1$	$16.170$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$2$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-5q^{11}-4q^{13}-4q^{16}+\cdots$
2025.2.a.g	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$1$	$0$	$-2$	$0$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+(3+\beta )q^{7}+\cdots$
2025.2.a.h	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$0$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(-2-\beta )q^{7}-3q^{8}+\cdots$
2025.2.a.i	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$0$	$-1$	$0$	$0$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(2+\beta )q^{7}-3q^{8}+\cdots$
2025.2.a.j	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}-2q^{7}-\beta q^{8}+2\beta q^{11}+\cdots$
2025.2.a.k	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$1$	$1$	$0$	$0$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(-2-\beta )q^{7}+3q^{8}+\cdots$
2025.2.a.l	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$0$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(2+\beta )q^{7}+3q^{8}+\cdots$
2025.2.a.m	$2025$	$2$	2025.a	1.a	$1$	$2$	$2$	$16.170$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$1$	$0$	$2$	$0$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}+(3-\beta )q^{7}+\cdots$
2025.2.a.n	$2025$	$2$	2025.a	1.a	$1$	$3$	$3$	$16.170$	3.3.564.1	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$0$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2+\beta _{1})q^{7}+\cdots$
2025.2.a.o	$2025$	$2$	2025.a	1.a	$1$	$3$	$3$	$16.170$	3.3.564.1	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$0$	$-5$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-2+\beta _{1})q^{7}+\cdots$
2025.2.a.p	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
2025.2.a.q	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
2025.2.a.r	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\zeta_{24})^+$	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{1}-2\beta _{3})q^{7}+\cdots$
2025.2.a.s	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\zeta_{24})^+$	$_{}$	None	None	✓	$4$	$1$	$0$	$0$	$0$	$0$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+\beta _{3}q^{7}-2\beta _{2}q^{8}-\beta _{1}q^{11}+\cdots$
2025.2.a.t	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\zeta_{24})^+$	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}+2\beta _{3})q^{7}+\beta _{3}q^{8}+\cdots$
2025.2.a.u	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\sqrt{3}, \sqrt{7})$	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$0$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{3}q^{2}-\beta _{2}q^{4}+(-1+\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$
2025.2.a.v	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\sqrt{3}, \sqrt{7})$	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{3}q^{2}-\beta _{2}q^{4}+(1-\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$
2025.2.a.w	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\sqrt{3}, \sqrt{11})$	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{7}+\cdots$
2025.2.a.x	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	$\Q(\sqrt{3}, \sqrt{11})$	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{7}+\cdots$
2025.2.a.y	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	$_{}$	None	None	✓	$1$	$0$	$2$	$0$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots$
2025.2.a.z	$2025$	$2$	2025.a	1.a	$1$	$4$	$4$	$16.170$	4.4.11661.1	$_{}$	None	None	✓	$1$	$0$	$2$	$0$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{7}+\cdots$
2025.2.b.a	$2025$	$2$	2025.b	5.b	$2$	$2$	$2$	$16.170$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$1$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-2q^{4}-5q^{11}+2iq^{13}-4q^{16}+\cdots$
2025.2.b.b	$2025$	$2$	2025.b	5.b	$2$	$2$	$2$	$16.170$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}-2q^{4}+5q^{11}-2iq^{13}-4q^{16}+\cdots$
2025.2.b.c	$2025$	$2$	2025.b	5.b	$2$	$2$	$2$	$16.170$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+q^{4}-3iq^{7}+3iq^{8}-2q^{11}+\cdots$
2025.2.b.d	$2025$	$2$	2025.b	5.b	$2$	$2$	$2$	$16.170$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+q^{4}+3iq^{7}+3iq^{8}+2q^{11}+\cdots$
2025.2.b.e	$2025$	$2$	2025.b	5.b	$2$	$2$	$2$	$16.170$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+2q^{4}-iq^{7}-3q^{11}-2iq^{13}+4q^{16}+\cdots$
2025.2.b.f	$2025$	$2$	2025.b	5.b	$2$	$2$	$2$	$16.170$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{SU}(2)[C_{2}]$	$q+2q^{4}-iq^{7}+3q^{11}-2iq^{13}+4q^{16}+\cdots$
2025.2.b.g	$2025$	$2$	2025.b	5.b	$2$	$4$	$4$	$16.170$	$\Q(\zeta_{12})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{12}^{3}q^{2}+(-2+2\zeta_{12})q^{4}+(2\zeta_{12}^{2}+\cdots)q^{7}+\cdots$
2025.2.b.h	$2025$	$2$	2025.b	5.b	$2$	$4$	$4$	$16.170$	$\Q(\zeta_{12})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-\zeta_{12}^{3}q^{2}+(-2+2\zeta_{12})q^{4}+(-2\zeta_{12}^{2}+\cdots)q^{7}+\cdots$
2025.2.b.i	$2025$	$2$	2025.b	5.b	$2$	$4$	$4$	$16.170$	$\Q(i, \sqrt{13})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-2+\beta _{3})q^{4}+(-\beta _{1}+2\beta _{2}+\cdots)q^{7}+\cdots$
2025.2.b.j	$2025$	$2$	2025.b	5.b	$2$	$4$	$4$	$16.170$	$\Q(i, \sqrt{13})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-2+\beta _{3})q^{4}+(\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots$
2025.2.b.k	$2025$	$2$	2025.b	5.b	$2$	$4$	$4$	$16.170$	$\Q(\zeta_{12})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\zeta_{12}^{2}q^{2}-q^{4}-2\zeta_{12}q^{7}+\zeta_{12}^{2}q^{8}+\cdots$
2025.2.b.l	$2025$	$2$	2025.b	5.b	$2$	$6$	$6$	$16.170$	6.0.5089536.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{5}q^{2}+(-2+\beta _{3})q^{4}+(-\beta _{4}-\beta _{5})q^{7}+\cdots$
2025.2.b.m	$2025$	$2$	2025.b	5.b	$2$	$6$	$6$	$16.170$	6.0.5089536.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{5}q^{2}+(-2+\beta _{3})q^{4}+(\beta _{4}+\beta _{5})q^{7}+\cdots$
2025.2.b.n	$2025$	$2$	2025.b	5.b	$2$	$8$	$8$	$16.170$	8.0.$\cdots$.6	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{4}-\beta _{6})q^{4}+(-\beta _{2}+\cdots)q^{7}+\cdots$
2025.2.b.o	$2025$	$2$	2025.b	5.b	$2$	$8$	$8$	$16.170$	8.0.$\cdots$.6	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{4}-\beta _{6})q^{4}+(\beta _{2}+\cdots)q^{7}+\cdots$
2025.2.b.p	$2025$	$2$	2025.b	5.b	$2$	$8$	$8$	$16.170$	8.0.49787136.1	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{6}q^{2}+\beta _{4}q^{4}+(-\beta _{1}+2\beta _{3})q^{7}+\cdots$

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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.