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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 86 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
928.1.l.a	$928$	$1$	928.l	29.c	$4$	$2$	$1$	$0.463$	$\Q(\sqrt{-1}) $	$D_{4}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{9}-iq^{13}+(1+i)q^{17}+q^{25}+\cdots$
928.1.l.b	$928$	$1$	928.l	29.c	$4$	$4$	$2$	$0.463$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{5}+(\zeta_{8}-\zeta_{8}^{3})q^{7}+\cdots$
928.1.bs.a	$928$	$1$	928.bs	29.f	$28$	$12$	$1$	$0.463$	$\Q(\zeta_{28})$	$D_{28}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(-\zeta_{28}^{4}+\zeta_{28}^{12})q^{5}-\zeta_{28}^{3}q^{9}+\cdots$
928.2.a.a	$928$	$2$	928.a	1.a	$1$	$1$	$1$	$7.410$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-2q^{9}+5q^{11}+q^{13}+\cdots$
928.2.a.b	$928$	$2$	928.a	1.a	$1$	$1$	$1$	$7.410$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-2q^{9}-5q^{11}+q^{13}+\cdots$
928.2.a.c	$928$	$2$	928.a	1.a	$1$	$2$	$2$	$7.410$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$2$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{3}+q^{5}-2q^{7}-2\beta q^{9}+\cdots$
928.2.a.d	$928$	$2$	928.a	1.a	$1$	$2$	$2$	$7.410$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$6$	$0$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{3}+3q^{5}+2q^{9}+\beta q^{11}+q^{13}+\cdots$
928.2.a.e	$928$	$2$	928.a	1.a	$1$	$2$	$2$	$7.410$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$2$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{3}+q^{5}+2q^{7}+2\beta q^{9}+(1+\cdots)q^{11}+\cdots$
928.2.a.f	$928$	$2$	928.a	1.a	$1$	$4$	$4$	$7.410$	$\Q(\zeta_{20})^+$	$_{}$	None	None	✓	$2$	$1$	$0$	$0$	$-8$	$0$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+(-2+\beta _{3})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$
928.2.a.g	$928$	$2$	928.a	1.a	$1$	$5$	$5$	$7.410$	5.5.230224.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-4$	$-2$	$-4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{3}+\beta _{4}q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$
928.2.a.h	$928$	$2$	928.a	1.a	$1$	$5$	$5$	$7.410$	5.5.230224.1	$_{}$	None	None	✓	$1$	$0$	$0$	$4$	$-2$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+\beta _{4}q^{5}+(1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots$
928.2.a.i	$928$	$2$	928.a	1.a	$1$	$6$	$6$	$7.410$	6.6.68772992.1	$_{}$	None	None	✓	$2$	$0$	$0$	$0$	$4$	$0$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-\beta _{4}q^{3}+(1+\beta _{3})q^{5}+\beta _{1}q^{7}+(2-\beta _{5})q^{9}+\cdots$
928.2.c.a	$928$	$2$	928.c	8.b	$2$	$28$	$28$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
928.2.e.a	$928$	$2$	928.e	29.b	$2$	$2$	$2$	$7.410$	$\Q(\sqrt{-1}) $	$_{}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$-4$	$0$		$2$	$\mathrm{U}(1)[D_{2}]$	$q-2q^{5}+3q^{9}-6q^{13}+4iq^{17}-q^{25}+\cdots$
928.2.e.b	$928$	$2$	928.e	29.b	$2$	$4$	$4$	$7.410$	$\Q(i, \sqrt{5})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{3}+q^{5}+\beta _{3}q^{7}+2q^{9}-3\beta _{1}q^{11}+\cdots$
928.2.e.c	$928$	$2$	928.e	29.b	$2$	$12$	$12$	$7.410$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$		$2^{17}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}-\beta _{5}q^{5}-\beta _{6}q^{7}+(-1-\beta _{2}+\cdots)q^{9}+\cdots$
928.2.e.d	$928$	$2$	928.e	29.b	$2$	$12$	$12$	$7.410$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	$\Q(\sqrt{-29}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{16}$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{7}q^{3}+\beta _{5}q^{5}+(-3+\beta _{1})q^{9}+\beta _{10}q^{11}+\cdots$
928.2.g.a	$928$	$2$	928.g	232.g	$2$	$4$	$4$	$7.410$	$\Q(\sqrt{2}, \sqrt{-3})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-16$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}-4q^{7}-q^{9}-\beta _{1}q^{11}+2\beta _{2}q^{13}+\cdots$
928.2.g.b	$928$	$2$	928.g	232.g	$2$	$24$	$24$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$24$			$\mathrm{SU}(2)[C_{2}]$
928.2.k.a	$928$	$2$	928.k	116.e	$4$	$2$	$1$	$7.410$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(-1+i)q^{3}-2iq^{7}+iq^{9}+(-1+\cdots)q^{11}+\cdots$
928.2.k.b	$928$	$2$	928.k	116.e	$4$	$2$	$1$	$7.410$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(1-i)q^{3}+2iq^{7}+iq^{9}+(1-i)q^{11}+\cdots$
928.2.k.c	$928$	$2$	928.k	116.e	$4$	$4$	$2$	$7.410$	$\Q(\zeta_{8})$	$_{}$	None	None		$2$	$0$	$0$	$-4$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(-2\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{5}+\cdots$
928.2.k.d	$928$	$2$	928.k	116.e	$4$	$4$	$2$	$7.410$	$\Q(\zeta_{8})$	$_{}$	None	None		$2$	$0$	$0$	$4$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{4}]$	$q+(1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+(2\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{5}+\cdots$
928.2.k.e	$928$	$2$	928.k	116.e	$4$	$10$	$5$	$7.410$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-2$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	$q+\beta _{6}q^{3}-\beta _{7}q^{5}+(-\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{7}+\cdots$
928.2.k.f	$928$	$2$	928.k	116.e	$4$	$10$	$5$	$7.410$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$2$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{4}]$	$q-\beta _{3}q^{3}+\beta _{7}q^{5}+(-\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{7}+\cdots$
928.2.k.g	$928$	$2$	928.k	116.e	$4$	$14$	$7$	$7.410$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-4$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{4}]$	$q+\beta _{6}q^{3}+(-\beta _{1}+\beta _{7}-\beta _{9})q^{5}+(-\beta _{3}+\cdots)q^{7}+\cdots$
928.2.k.h	$928$	$2$	928.k	116.e	$4$	$14$	$7$	$7.410$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$4$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{4}]$	$q-\beta _{6}q^{3}+(-\beta _{1}+\beta _{7}-\beta _{9})q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots$
928.2.q.a	$928$	$2$	928.q	232.k	$4$	$56$	$28$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$4$	$0$	$0$			$\mathrm{SU}(2)[C_{4}]$
928.2.u.a	$928$	$2$	928.u	29.d	$7$	$6$	$1$	$7.410$	$\Q(\zeta_{14})$	$_{}$	None	None		$2$	$1$	$0$	$-3$	$-8$	$-5$		$1$	$\mathrm{SU}(2)[C_{7}]$	$q+(-1+\zeta_{14}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{3}+\cdots$
928.2.u.b	$928$	$2$	928.u	29.d	$7$	$6$	$1$	$7.410$	$\Q(\zeta_{14})$	$_{}$	None	None		$2$	$0$	$0$	$3$	$-8$	$5$		$1$	$\mathrm{SU}(2)[C_{7}]$	$q+(1-\zeta_{14}+\zeta_{14}^{4}-\zeta_{14}^{5})q^{3}+(-2+\cdots)q^{5}+\cdots$
928.2.u.c	$928$	$2$	928.u	29.d	$7$	$12$	$2$	$7.410$	$\Q(\zeta_{28})$	$_{}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$		$2^{6}$	$\mathrm{U}(1)[D_{7}]$	$q+(\zeta_{28}-\zeta_{28}^{3}-\zeta_{28}^{4}+\zeta_{28}^{5}+\zeta_{28}^{6}+\cdots)q^{5}+\cdots$
928.2.u.d	$928$	$2$	928.u	29.d	$7$	$36$	$6$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$8$	$-5$			$\mathrm{SU}(2)[C_{7}]$
928.2.u.e	$928$	$2$	928.u	29.d	$7$	$36$	$6$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-12$	$0$			$\mathrm{SU}(2)[C_{7}]$
928.2.u.f	$928$	$2$	928.u	29.d	$7$	$36$	$6$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$1$	$8$	$5$			$\mathrm{SU}(2)[C_{7}]$
928.2.u.g	$928$	$2$	928.u	29.d	$7$	$48$	$8$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$12$	$0$			$\mathrm{SU}(2)[C_{7}]$
928.2.v.a	$928$	$2$	928.v	32.g	$8$	$448$	$112$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{8}]$
928.2.x.a	$928$	$2$	928.x	928.x	$8$	$472$	$118$	$7.410$		$_{}$	None	None		$2$	$0$	$-4$	$-4$	$0$	$-8$			$\mathrm{SU}(2)[C_{8}]$
928.2.ba.a	$928$	$2$	928.ba	928.aa	$8$	$472$	$118$	$7.410$		$_{}$	None	None		$2$	$0$	$-4$	$-4$	$0$	$-8$			$\mathrm{SU}(2)[C_{8}]$
928.2.bc.a	$928$	$2$	928.bc	928.ac	$8$	$472$	$118$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-8$	$-8$			$\mathrm{SU}(2)[C_{8}]$
928.2.be.a	$928$	$2$	928.be	232.o	$14$	$168$	$28$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$6$			$\mathrm{SU}(2)[C_{14}]$
928.2.bg.a	$928$	$2$	928.bg	29.e	$14$	$12$	$2$	$7.410$	$\Q(\zeta_{28})$	$_{}$	$\Q(\sqrt{-1}) $	None		$4$	$0$	$0$	$0$	$4$	$0$		$2^{6}$	$\mathrm{U}(1)[D_{14}]$	$q+(\zeta_{28}-\zeta_{28}^{3}-\zeta_{28}^{4}+\zeta_{28}^{5}+\zeta_{28}^{6}+\cdots)q^{5}+\cdots$
928.2.bg.b	$928$	$2$	928.bg	29.e	$14$	$72$	$12$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$			$\mathrm{SU}(2)[C_{14}]$
928.2.bg.c	$928$	$2$	928.bg	29.e	$14$	$96$	$16$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$			$\mathrm{SU}(2)[C_{14}]$
928.2.bi.a	$928$	$2$	928.bi	232.s	$14$	$168$	$28$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$14$			$\mathrm{SU}(2)[C_{14}]$
928.2.bn.a	$928$	$2$	928.bn	232.v	$28$	$336$	$28$	$7.410$		$_{}$	None	None		$4$	$0$	$0$	$24$	$0$	$0$			$\mathrm{SU}(2)[C_{28}]$
928.2.bt.a	$928$	$2$	928.bt	116.l	$28$	$84$	$7$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$-4$	$0$	$14$			$\mathrm{SU}(2)[C_{28}]$
928.2.bt.b	$928$	$2$	928.bt	116.l	$28$	$84$	$7$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$4$	$0$	$-14$			$\mathrm{SU}(2)[C_{28}]$
928.2.bt.c	$928$	$2$	928.bt	116.l	$28$	$96$	$8$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$-4$	$0$	$14$			$\mathrm{SU}(2)[C_{28}]$
928.2.bt.d	$928$	$2$	928.bt	116.l	$28$	$96$	$8$	$7.410$		$_{}$	None	None		$2$	$0$	$0$	$4$	$0$	$-14$			$\mathrm{SU}(2)[C_{28}]$
928.2.bx.a	$928$	$2$	928.bx	928.ax	$56$	$2832$	$118$	$7.410$		$_{}$	None	None		$4$	$0$	$-28$	$-28$	$-20$	$-20$			$\mathrm{SU}(2)[C_{56}]$

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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.