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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 1032 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
247.2.e.a	$247$	$2$	247.e	247.e	$3$	$44$	$22$	$1.972$		None		$2$	$0$	$1$	$3$	$-2$	$-3$		$\mathrm{SU}(2)[C_{3}]$
247.2.h.a	$247$	$2$	247.h	247.h	$3$	$44$	$22$	$1.972$		None		$2$	$0$	$-2$	$-6$	$-2$	$-3$		$\mathrm{SU}(2)[C_{3}]$
259.2.g.b	$259$	$2$	259.g	259.g	$3$	$44$	$22$	$2.068$		None		$2$	$0$	$-2$	$3$	$2$	$2$		$\mathrm{SU}(2)[C_{3}]$
259.2.h.b	$259$	$2$	259.h	259.h	$3$	$44$	$22$	$2.068$		None		$2$	$0$	$4$	$-6$	$-1$	$-7$		$\mathrm{SU}(2)[C_{3}]$
271.2.c.a	$271$	$2$	271.c	271.c	$3$	$42$	$21$	$2.164$		None		$2$	$0$	$-1$	$-8$	$-2$	$2$		$\mathrm{SU}(2)[C_{3}]$
279.2.e.a	$279$	$2$	279.e	279.e	$3$	$60$	$30$	$2.228$		None		$2$	$0$	$-2$	$-5$	$2$	$0$		$\mathrm{SU}(2)[C_{3}]$
279.2.g.a	$279$	$2$	279.g	279.g	$3$	$60$	$30$	$2.228$		None		$2$	$0$	$-2$	$1$	$-4$	$0$		$\mathrm{SU}(2)[C_{3}]$
283.2.c.a	$283$	$2$	283.c	283.c	$3$	$46$	$23$	$2.260$		None		$2$	$0$	$-6$	$-1$	$3$	$2$		$\mathrm{SU}(2)[C_{3}]$
301.2.f.a	$301$	$2$	301.f	301.f	$3$	$54$	$27$	$2.403$		None		$2$	$0$	$-3$	$4$	$-6$	$0$		$\mathrm{SU}(2)[C_{3}]$
301.2.g.a	$301$	$2$	301.g	301.g	$3$	$54$	$27$	$2.403$		None		$2$	$0$	$-3$	$-8$	$3$	$6$		$\mathrm{SU}(2)[C_{3}]$
307.2.c.b	$307$	$2$	307.c	307.c	$3$	$46$	$23$	$2.451$		None		$2$	$0$	$-4$	$-6$	$0$	$2$		$\mathrm{SU}(2)[C_{3}]$
313.2.c.b	$313$	$2$	313.c	313.c	$3$	$46$	$23$	$2.499$		None		$2$	$0$	$-1$	$-2$	$-14$	$8$		$\mathrm{SU}(2)[C_{3}]$
331.2.c.a	$331$	$2$	331.c	331.c	$3$	$54$	$27$	$2.643$		None		$2$	$0$	$-1$	$-2$	$-2$	$-10$		$\mathrm{SU}(2)[C_{3}]$
333.2.g.a	$333$	$2$	333.g	333.g	$3$	$72$	$36$	$2.659$		None		$2$	$0$	$1$	$-2$	$-1$	$0$		$\mathrm{SU}(2)[C_{3}]$
333.2.h.a	$333$	$2$	333.h	333.h	$3$	$72$	$36$	$2.659$		None		$2$	$0$	$-2$	$1$	$2$	$0$		$\mathrm{SU}(2)[C_{3}]$
337.2.c.a	$337$	$2$	337.c	337.c	$3$	$54$	$27$	$2.691$		None		$2$	$0$	$0$	$-1$	$-12$	$-18$		$\mathrm{SU}(2)[C_{3}]$
349.2.c.a	$349$	$2$	349.c	349.c	$3$	$56$	$28$	$2.787$		None		$2$	$0$	$0$	$0$	$4$	$2$		$\mathrm{SU}(2)[C_{3}]$
367.2.c.a	$367$	$2$	367.c	367.c	$3$	$60$	$30$	$2.931$		None		$2$	$0$	$-1$	$-4$	$-10$	$6$		$\mathrm{SU}(2)[C_{3}]$
369.2.e.b	$369$	$2$	369.e	9.c	$3$	$48$	$24$	$2.946$		None		$2$	$0$	$0$	$-1$	$1$	$-15$		$\mathrm{SU}(2)[C_{3}]$
373.2.c.a	$373$	$2$	373.c	373.c	$3$	$60$	$30$	$2.978$		None		$2$	$0$	$-1$	$0$	$3$	$-4$		$\mathrm{SU}(2)[C_{3}]$
379.2.c.a	$379$	$2$	379.c	379.c	$3$	$60$	$30$	$3.026$		None		$2$	$0$	$-1$	$-1$	$-2$	$7$		$\mathrm{SU}(2)[C_{3}]$
387.2.e.a	$387$	$2$	387.e	387.e	$3$	$84$	$42$	$3.090$		None		$2$	$0$	$0$	$-5$	$5$	$3$		$\mathrm{SU}(2)[C_{3}]$
387.2.g.a	$387$	$2$	387.g	387.g	$3$	$84$	$42$	$3.090$		None		$2$	$0$	$0$	$1$	$-10$	$-6$		$\mathrm{SU}(2)[C_{3}]$
397.2.c.b	$397$	$2$	397.c	397.c	$3$	$60$	$30$	$3.170$		None		$2$	$0$	$-8$	$-3$	$1$	$0$		$\mathrm{SU}(2)[C_{3}]$
403.2.e.a	$403$	$2$	403.e	403.e	$3$	$70$	$35$	$3.218$		None		$2$	$0$	$-2$	$4$	$-2$	$8$		$\mathrm{SU}(2)[C_{3}]$
403.2.g.a	$403$	$2$	403.g	403.g	$3$	$70$	$35$	$3.218$		None		$2$	$0$	$-2$	$-8$	$-2$	$-4$		$\mathrm{SU}(2)[C_{3}]$
409.2.c.a	$409$	$2$	409.c	409.c	$3$	$66$	$33$	$3.266$		None		$2$	$0$	$1$	$-1$	$-4$	$-2$		$\mathrm{SU}(2)[C_{3}]$
413.2.e.c	$413$	$2$	413.e	7.c	$3$	$50$	$25$	$3.298$		None		$2$	$0$	$-4$	$-1$	$-1$	$0$		$\mathrm{SU}(2)[C_{3}]$
421.2.c.a	$421$	$2$	421.c	421.c	$3$	$68$	$34$	$3.362$		None		$2$	$0$	$2$	$-1$	$-2$	$-10$		$\mathrm{SU}(2)[C_{3}]$
423.2.e.e	$423$	$2$	423.e	9.c	$3$	$52$	$26$	$3.378$		None		$2$	$0$	$-1$	$-1$	$4$	$-9$		$\mathrm{SU}(2)[C_{3}]$
427.2.e.a	$427$	$2$	427.e	427.e	$3$	$78$	$39$	$3.410$		None		$2$	$0$	$1$	$1$	$6$	$0$		$\mathrm{SU}(2)[C_{3}]$
427.2.h.a	$427$	$2$	427.h	427.h	$3$	$78$	$39$	$3.410$		None		$2$	$0$	$-2$	$1$	$-12$	$-6$		$\mathrm{SU}(2)[C_{3}]$
433.2.c.b	$433$	$2$	433.c	433.c	$3$	$66$	$33$	$3.458$		None		$2$	$0$	$-6$	$3$	$-5$	$6$		$\mathrm{SU}(2)[C_{3}]$
439.2.c.b	$439$	$2$	439.c	439.c	$3$	$68$	$34$	$3.505$		None		$2$	$0$	$-8$	$-6$	$1$	$6$		$\mathrm{SU}(2)[C_{3}]$
457.2.c.a	$457$	$2$	457.c	457.c	$3$	$74$	$37$	$3.649$		None		$2$	$0$	$-12$	$2$	$2$	$8$		$\mathrm{SU}(2)[C_{3}]$
463.2.c.a	$463$	$2$	463.c	463.c	$3$	$76$	$38$	$3.697$		None		$2$	$0$	$-2$	$2$	$2$	$-10$		$\mathrm{SU}(2)[C_{3}]$
63.4.g.a	$63$	$4$	63.g	63.g	$3$	$44$	$22$	$3.717$		None		$2$	$0$	$1$	$-1$	$38$	$-7$		$\mathrm{SU}(2)[C_{3}]$
63.4.h.a	$63$	$4$	63.h	63.h	$3$	$44$	$22$	$3.717$		None		$2$	$0$	$-2$	$-1$	$-19$	$-7$		$\mathrm{SU}(2)[C_{3}]$
469.2.e.a	$469$	$2$	469.e	469.e	$3$	$86$	$43$	$3.745$		None		$2$	$0$	$3$	$1$	$2$	$-8$		$\mathrm{SU}(2)[C_{3}]$
469.2.f.c	$469$	$2$	469.f	7.c	$3$	$44$	$22$	$3.745$		None		$2$	$0$	$0$	$-6$	$-17$	$-3$		$\mathrm{SU}(2)[C_{3}]$
469.2.h.a	$469$	$2$	469.h	469.h	$3$	$86$	$43$	$3.745$		None		$2$	$0$	$-6$	$1$	$2$	$1$		$\mathrm{SU}(2)[C_{3}]$
477.2.e.a	$477$	$2$	477.e	9.c	$3$	$46$	$23$	$3.809$		None		$2$	$0$	$-1$	$-1$	$-2$	$15$		$\mathrm{SU}(2)[C_{3}]$
477.2.e.b	$477$	$2$	477.e	9.c	$3$	$58$	$29$	$3.809$		None		$2$	$0$	$-1$	$-1$	$-2$	$-17$		$\mathrm{SU}(2)[C_{3}]$
481.2.f.c	$481$	$2$	481.f	13.c	$3$	$42$	$21$	$3.841$		None		$2$	$0$	$5$	$0$	$-16$	$8$		$\mathrm{SU}(2)[C_{3}]$
481.2.g.c	$481$	$2$	481.g	481.g	$3$	$78$	$39$	$3.841$		None		$2$	$0$	$0$	$-6$	$3$	$12$		$\mathrm{SU}(2)[C_{3}]$
481.2.h.c	$481$	$2$	481.h	481.h	$3$	$78$	$39$	$3.841$		None		$2$	$0$	$0$	$3$	$3$	$-24$		$\mathrm{SU}(2)[C_{3}]$
487.2.c.a	$487$	$2$	487.c	487.c	$3$	$78$	$39$	$3.889$		None		$2$	$0$	$1$	$0$	$-6$	$2$		$\mathrm{SU}(2)[C_{3}]$
497.2.e.b	$497$	$2$	497.e	7.c	$3$	$44$	$22$	$3.969$		None		$2$	$0$	$1$	$-3$	$-6$	$-1$		$\mathrm{SU}(2)[C_{3}]$
497.2.e.c	$497$	$2$	497.e	7.c	$3$	$46$	$23$	$3.969$		None		$2$	$0$	$0$	$3$	$7$	$-2$		$\mathrm{SU}(2)[C_{3}]$
499.2.c.a	$499$	$2$	499.c	499.c	$3$	$82$	$41$	$3.985$		None		$2$	$0$	$-4$	$-2$	$0$	$1$		$\mathrm{SU}(2)[C_{3}]$

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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.