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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 (40 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
921.1.g.a	$921$	$1$	921.g	921.g	$6$	$2$	$1$	$0.460$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$2$	$0$	$-2$		$1$		$q+q^{3}+q^{4}+\zeta_{6}^{2}q^{7}+q^{9}+q^{12}+\cdots$
921.1.g.b	$921$	$1$	921.g	921.g	$6$	$4$	$2$	$0.460$	$\Q(\sqrt{-2}, \sqrt{-3})$	$S_{4}$	None	None		$4$	$0$	$0$	$-4$	$0$	$0$		$1$		$q-\beta _{3}q^{2}-q^{3}-q^{4}+\beta _{3}q^{6}+q^{9}+\cdots$
921.1.p.a	$921$	$1$	921.p	921.p	$34$	$16$	$1$	$0.460$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$15$		$1$		$q+\zeta_{34}^{12}q^{3}-\zeta_{34}^{3}q^{4}+(1-\zeta_{34}+\cdots)q^{7}+\cdots$
921.1.s.a	$921$	$1$	921.s	921.s	$102$	$32$	$1$	$0.460$	$\Q(\zeta_{51})$	$D_{51}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-2$	$0$	$-15$		$1$		$q-\zeta_{102}^{9}q^{3}-\zeta_{102}^{15}q^{4}+(-\zeta_{102}^{5}+\cdots)q^{7}+\cdots$
921.2.a.a	$921$	$2$	921.a	1.a	$1$	$1$	$1$	$7.354$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-2$	$-1$	$0$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}+5q^{11}+\cdots$
921.2.a.b	$921$	$2$	921.a	1.a	$1$	$1$	$1$	$7.354$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}-q^{7}+q^{9}-2q^{12}-4q^{13}+\cdots$
921.2.a.c	$921$	$2$	921.a	1.a	$1$	$2$	$2$	$7.354$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+2\beta q^{5}+\beta q^{6}+(2+2\beta )q^{7}+\cdots$
921.2.a.d	$921$	$2$	921.a	1.a	$1$	$2$	$2$	$7.354$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$2$	$2$	$0$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}-2\beta q^{5}+\cdots$
921.2.a.e	$921$	$2$	921.a	1.a	$1$	$7$	$7$	$7.354$	7.7.144038117.1	$_{}$	None	None	✓	$1$	$1$	$-2$	$7$	$-7$	$-13$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
921.2.a.f	$921$	$2$	921.a	1.a	$1$	$11$	$11$	$7.354$	$\mathbb{Q}[x]/(x^{11} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$4$	$-11$	$7$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{4}+\cdots)q^{5}+\cdots$
921.2.a.g	$921$	$2$	921.a	1.a	$1$	$13$	$13$	$7.354$	$\mathbb{Q}[x]/(x^{13} - \cdots)$	$_{}$	None	None	✓	$1$	$1$	$-2$	$-13$	$-9$	$-8$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$
921.2.a.h	$921$	$2$	921.a	1.a	$1$	$14$	$14$	$7.354$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	$_{}$	None	None	✓	$1$	$0$	$-3$	$14$	$3$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots$
921.2.d.a	$921$	$2$	921.d	921.d	$2$	$100$	$100$	$7.354$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$4$			$\mathrm{SU}(2)[C_{2}]$
921.2.e.a	$921$	$2$	921.e	307.c	$3$	$2$	$1$	$7.354$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$-2$	$-2$	$3$	$3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}-q^{3}-q^{4}+(3-3\zeta_{6})q^{5}+q^{6}+\cdots$
921.2.e.b	$921$	$2$	921.e	307.c	$3$	$2$	$1$	$7.354$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$2$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots$
921.2.e.c	$921$	$2$	921.e	307.c	$3$	$46$	$23$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$-46$	$-4$	$3$			$\mathrm{SU}(2)[C_{3}]$
921.2.e.d	$921$	$2$	921.e	307.c	$3$	$54$	$27$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$54$	$1$	$-10$			$\mathrm{SU}(2)[C_{3}]$
921.2.h.a	$921$	$2$	921.h	921.h	$6$	$200$	$100$	$7.354$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-10$			$\mathrm{SU}(2)[C_{6}]$
921.2.i.a	$921$	$2$	921.i	307.e	$9$	$150$	$25$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$-150$	$3$	$0$			$\mathrm{SU}(2)[C_{9}]$
921.2.i.b	$921$	$2$	921.i	307.e	$9$	$156$	$26$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$156$	$-3$	$0$			$\mathrm{SU}(2)[C_{9}]$
921.2.j.a	$921$	$2$	921.j	307.f	$17$	$400$	$25$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$25$	$2$	$-28$			$\mathrm{SU}(2)[C_{17}]$
921.2.j.b	$921$	$2$	921.j	307.f	$17$	$432$	$27$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$-27$	$-2$	$58$			$\mathrm{SU}(2)[C_{17}]$
921.2.k.a	$921$	$2$	921.k	921.k	$18$	$6$	$1$	$7.354$	$\Q(\zeta_{18})$	$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{U}(1)[D_{18}]$	$q+(-1+2\zeta_{18}^{3})q^{3}+2\zeta_{18}^{3}q^{4}+4\zeta_{18}^{4}q^{7}+\cdots$
921.2.k.b	$921$	$2$	921.k	921.k	$18$	$600$	$100$	$7.354$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$-12$			$\mathrm{SU}(2)[C_{18}]$
921.2.n.a	$921$	$2$	921.n	921.n	$34$	$1600$	$100$	$7.354$		$_{}$	None	None		$4$	$0$	$0$	$-17$	$0$	$30$			$\mathrm{SU}(2)[C_{34}]$
921.2.q.a	$921$	$2$	921.q	307.i	$51$	$800$	$25$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$50$	$1$	$28$			$\mathrm{SU}(2)[C_{51}]$
921.2.q.b	$921$	$2$	921.q	307.i	$51$	$864$	$27$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$-54$	$-1$	$-58$			$\mathrm{SU}(2)[C_{51}]$
921.2.r.a	$921$	$2$	921.r	921.r	$102$	$3200$	$100$	$7.354$		$_{}$	None	None		$4$	$0$	$0$	$-34$	$0$	$-126$			$\mathrm{SU}(2)[C_{102}]$
921.2.u.a	$921$	$2$	921.u	307.k	$153$	$2400$	$25$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$150$	$-3$	$0$			$\mathrm{SU}(2)[C_{153}]$
921.2.u.b	$921$	$2$	921.u	307.k	$153$	$2496$	$26$	$7.354$		$_{}$	None	None		$2$	$0$	$0$	$-156$	$3$	$0$			$\mathrm{SU}(2)[C_{153}]$
921.2.x.a	$921$	$2$	921.x	921.x	$306$	$96$	$1$	$7.354$		$_{}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{U}(1)[D_{306}]$
921.2.x.b	$921$	$2$	921.x	921.x	$306$	$9600$	$100$	$7.354$		$_{}$	None	None		$4$	$0$	$0$	$-102$	$0$	$-192$			$\mathrm{SU}(2)[C_{306}]$
921.4.a.a	$921$	$4$	921.a	1.a	$1$	$33$	$33$	$54.341$		$_{}$	None	None	✓	$1$	$1$	$-4$	$99$	$-42$	$-125$	$-$		$\mathrm{SU}(2)$
921.4.a.b	$921$	$4$	921.a	1.a	$1$	$38$	$38$	$54.341$		$_{}$	None	None	✓	$1$	$0$	$4$	$-114$	$42$	$43$	$+$		$\mathrm{SU}(2)$
921.4.a.c	$921$	$4$	921.a	1.a	$1$	$39$	$39$	$54.341$		$_{}$	None	None	✓	$1$	$1$	$-4$	$-117$	$-38$	$-27$	$-$		$\mathrm{SU}(2)$
921.4.a.d	$921$	$4$	921.a	1.a	$1$	$44$	$44$	$54.341$		$_{}$	None	None	✓	$1$	$0$	$4$	$132$	$38$	$141$	$+$		$\mathrm{SU}(2)$
921.6.a.a	$921$	$6$	921.a	1.a	$1$	$58$	$58$	$147.713$		$_{}$	None	None	✓	$1$	$1$	$-2$	$522$	$-217$	$-902$	$+$		$\mathrm{SU}(2)$
921.6.a.b	$921$	$6$	921.a	1.a	$1$	$63$	$63$	$147.713$		$_{}$	None	None	✓	$1$	$0$	$8$	$-567$	$211$	$274$	$-$		$\mathrm{SU}(2)$
921.6.a.c	$921$	$6$	921.a	1.a	$1$	$64$	$64$	$147.713$		$_{}$	None	None	✓	$1$	$1$	$-8$	$-576$	$-189$	$-216$	$+$		$\mathrm{SU}(2)$
921.6.a.d	$921$	$6$	921.a	1.a	$1$	$69$	$69$	$147.713$		$_{}$	None	None	✓	$1$	$0$	$14$	$621$	$183$	$960$	$-$		$\mathrm{SU}(2)$

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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.