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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 68 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
762.2.a.a	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-3$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+3q^{7}+\cdots$
762.2.a.b	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$0$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$
762.2.a.c	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots$
762.2.a.d	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-3q^{7}+\cdots$
762.2.a.e	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-3$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-5q^{7}+\cdots$
762.2.a.f	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
762.2.a.g	$762$	$2$	762.a	1.a	$1$	$1$	$1$	$6.085$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$0$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
762.2.a.h	$762$	$2$	762.a	1.a	$1$	$2$	$2$	$6.085$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-2$	$-2$	$1$	$6$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}+3q^{7}+\cdots$
762.2.a.i	$762$	$2$	762.a	1.a	$1$	$2$	$2$	$6.085$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$2$	$-1$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots$
762.2.a.j	$762$	$2$	762.a	1.a	$1$	$2$	$2$	$6.085$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$2$	$5$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+(3-\beta )q^{5}+q^{6}+\cdots$
762.2.a.k	$762$	$2$	762.a	1.a	$1$	$3$	$3$	$6.085$	3.3.229.1	None	✓	$1$	$1$	$-3$	$-3$	$4$	$-6$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1-\beta _{2})q^{5}+q^{6}+\cdots$
762.2.a.l	$762$	$2$	762.a	1.a	$1$	$5$	$5$	$6.085$	5.5.18925901.1	None	✓	$1$	$0$	$5$	$-5$	$2$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots$
762.2.d.a	$762$	$2$	762.d	381.c	$2$	$44$	$44$	$6.085$		None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
762.2.e.a	$762$	$2$	762.e	127.c	$3$	$2$	$1$	$6.085$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$1$	$-2$	$3$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(1-\zeta_{6})q^{3}+q^{4}-q^{5}+(1-\zeta_{6})q^{6}+\cdots$
762.2.e.b	$762$	$2$	762.e	127.c	$3$	$4$	$2$	$6.085$	$\Q(\sqrt{-3}, \sqrt{-7})$	None		$2$	$0$	$-4$	$-2$	$-6$	$6$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+(-2+\beta _{2})q^{5}+\cdots$
762.2.e.c	$762$	$2$	762.e	127.c	$3$	$4$	$2$	$6.085$	$\Q(\sqrt{-3}, \sqrt{13})$	None		$2$	$0$	$4$	$-2$	$-2$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+\beta _{2}q^{3}+q^{4}+(-1+\beta _{3})q^{5}+\cdots$
762.2.e.d	$762$	$2$	762.e	127.c	$3$	$4$	$2$	$6.085$	$\Q(\sqrt{-3}, \sqrt{29})$	None		$2$	$0$	$4$	$-2$	$-2$	$6$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(-1+\beta _{2})q^{3}+q^{4}+(-1+\beta _{3})q^{5}+\cdots$
762.2.e.e	$762$	$2$	762.e	127.c	$3$	$4$	$2$	$6.085$	$\Q(\sqrt{-3}, \sqrt{5})$	None		$2$	$0$	$4$	$2$	$10$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(1+\beta _{3})q^{3}+q^{4}+(2-\beta _{2})q^{5}+\cdots$
762.2.e.f	$762$	$2$	762.e	127.c	$3$	$6$	$3$	$6.085$	6.0.6831243.2	None		$2$	$0$	$-6$	$-3$	$4$	$-3$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+(-1+\beta _{3})q^{3}+q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$
762.2.e.g	$762$	$2$	762.e	127.c	$3$	$6$	$3$	$6.085$	6.0.14506803.3	None		$2$	$0$	$6$	$3$	$-6$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+(1-\beta _{3})q^{3}+q^{4}+(-1+\beta _{4}+\cdots)q^{5}+\cdots$
762.2.e.h	$762$	$2$	762.e	127.c	$3$	$10$	$5$	$6.085$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None		$2$	$0$	$-10$	$5$	$4$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+(1-\beta _{4})q^{3}+q^{4}-\beta _{3}q^{5}+(-1+\cdots)q^{6}+\cdots$
762.2.h.a	$762$	$2$	762.h	381.g	$6$	$4$	$2$	$6.085$	$\Q(\zeta_{12})$	None		$4$	$0$	$0$	$-6$	$0$	$12$		$1$	$\mathrm{SU}(2)[C_{6}]$	$q+\zeta_{12}^{3}q^{2}+(-2+\zeta_{12}^{2})q^{3}-q^{4}+\cdots$
762.2.h.b	$762$	$2$	762.h	381.g	$6$	$84$	$42$	$6.085$		None		$4$	$0$	$0$	$6$	$0$	$-6$			$\mathrm{SU}(2)[C_{6}]$
762.2.i.a	$762$	$2$	762.i	127.e	$7$	$6$	$1$	$6.085$	$\Q(\zeta_{14})$	None		$2$	$0$	$1$	$1$	$5$	$-2$		$1$	$\mathrm{SU}(2)[C_{7}]$	$q+\zeta_{14}q^{2}-\zeta_{14}^{4}q^{3}+\zeta_{14}^{2}q^{4}+(1+\cdots)q^{5}+\cdots$
762.2.i.b	$762$	$2$	762.i	127.e	$7$	$24$	$4$	$6.085$		None		$2$	$0$	$-4$	$-4$	$5$	$-4$			$\mathrm{SU}(2)[C_{7}]$
762.2.i.c	$762$	$2$	762.i	127.e	$7$	$24$	$4$	$6.085$		None		$2$	$0$	$4$	$4$	$-10$	$9$			$\mathrm{SU}(2)[C_{7}]$
762.2.i.d	$762$	$2$	762.i	127.e	$7$	$30$	$5$	$6.085$		None		$2$	$0$	$5$	$-5$	$1$	$-14$			$\mathrm{SU}(2)[C_{7}]$
762.2.i.e	$762$	$2$	762.i	127.e	$7$	$36$	$6$	$6.085$		None		$2$	$0$	$-6$	$6$	$-1$	$5$			$\mathrm{SU}(2)[C_{7}]$
762.2.j.a	$762$	$2$	762.j	127.f	$9$	$12$	$2$	$6.085$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$12$	$0$	$-6$	$6$		$1$	$\mathrm{SU}(2)[C_{9}]$	$q+q^{2}+(\beta _{5}+\beta _{7})q^{3}+q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots$
762.2.j.b	$762$	$2$	762.j	127.f	$9$	$18$	$3$	$6.085$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None		$2$	$0$	$18$	$0$	$15$	$0$		$1$	$\mathrm{SU}(2)[C_{9}]$	$q+q^{2}+\beta _{12}q^{3}+q^{4}+(2-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$
762.2.j.c	$762$	$2$	762.j	127.f	$9$	$30$	$5$	$6.085$		None		$2$	$0$	$-30$	$0$	$-9$	$0$			$\mathrm{SU}(2)[C_{9}]$
762.2.j.d	$762$	$2$	762.j	127.f	$9$	$36$	$6$	$6.085$		None		$2$	$0$	$-36$	$0$	$3$	$-3$			$\mathrm{SU}(2)[C_{9}]$
762.2.j.e	$762$	$2$	762.j	127.f	$9$	$36$	$6$	$6.085$		None		$2$	$0$	$36$	$0$	$-3$	$3$			$\mathrm{SU}(2)[C_{9}]$
762.2.k.a	$762$	$2$	762.k	381.l	$14$	$264$	$44$	$6.085$		None		$4$	$0$	$0$	$0$	$0$	$42$			$\mathrm{SU}(2)[C_{14}]$
762.2.n.a	$762$	$2$	762.n	381.n	$18$	$252$	$42$	$6.085$		None		$4$	$0$	$0$	$0$	$0$	$-6$			$\mathrm{SU}(2)[C_{18}]$
762.2.q.a	$762$	$2$	762.q	127.i	$21$	$12$	$1$	$6.085$	$\Q(\zeta_{21})$	None		$2$	$0$	$-2$	$1$	$0$	$11$		$1$	$\mathrm{SU}(2)[C_{21}]$	$q+\zeta_{21}^{9}q^{2}+\zeta_{21}q^{3}+(-\zeta_{21}^{4}-\zeta_{21}^{11})q^{4}+\cdots$
762.2.q.b	$762$	$2$	762.q	127.i	$21$	$36$	$3$	$6.085$		None		$2$	$0$	$-6$	$3$	$4$	$-1$			$\mathrm{SU}(2)[C_{21}]$
762.2.q.c	$762$	$2$	762.q	127.i	$21$	$60$	$5$	$6.085$		None		$2$	$0$	$10$	$-5$	$-4$	$-7$			$\mathrm{SU}(2)[C_{21}]$
762.2.q.d	$762$	$2$	762.q	127.i	$21$	$60$	$5$	$6.085$		None		$2$	$0$	$10$	$5$	$2$	$11$			$\mathrm{SU}(2)[C_{21}]$
762.2.q.e	$762$	$2$	762.q	127.i	$21$	$72$	$6$	$6.085$		None		$2$	$0$	$-12$	$-6$	$-2$	$-2$			$\mathrm{SU}(2)[C_{21}]$
762.2.r.a	$762$	$2$	762.r	381.s	$42$	$528$	$44$	$6.085$		None		$4$	$0$	$0$	$0$	$0$	$-48$			$\mathrm{SU}(2)[C_{42}]$
762.2.u.a	$762$	$2$	762.u	127.k	$63$	$180$	$5$	$6.085$		None		$2$	$0$	$-30$	$0$	$-9$	$-6$			$\mathrm{SU}(2)[C_{63}]$
762.2.u.b	$762$	$2$	762.u	127.k	$63$	$180$	$5$	$6.085$		None		$2$	$0$	$30$	$0$	$9$	$0$			$\mathrm{SU}(2)[C_{63}]$
762.2.u.c	$762$	$2$	762.u	127.k	$63$	$216$	$6$	$6.085$		None		$2$	$0$	$-36$	$0$	$3$	$-3$			$\mathrm{SU}(2)[C_{63}]$
762.2.u.d	$762$	$2$	762.u	127.k	$63$	$216$	$6$	$6.085$		None		$2$	$0$	$36$	$0$	$-3$	$3$			$\mathrm{SU}(2)[C_{63}]$
762.2.x.a	$762$	$2$	762.x	381.x	$126$	$1512$	$42$	$6.085$		None		$4$	$0$	$0$	$0$	$0$	$6$			$\mathrm{SU}(2)[C_{126}]$
762.3.b.a	$762$	$3$	762.b	127.b	$2$	$44$	$44$	$20.763$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
762.3.c.a	$762$	$3$	762.c	3.b	$2$	$84$	$84$	$20.763$		None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
762.3.g.a	$762$	$3$	762.g	127.d	$6$	$44$	$22$	$20.763$		None		$2$	$0$	$0$	$-66$	$0$	$-18$			$\mathrm{SU}(2)[C_{6}]$
762.3.g.b	$762$	$3$	762.g	127.d	$6$	$44$	$22$	$20.763$		None		$2$	$0$	$0$	$66$	$0$	$6$			$\mathrm{SU}(2)[C_{6}]$

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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.