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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 2119 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
8003.2.a.a	$8003$	$2$	8003.a	1.a	$1$	$147$	$147$	$63.904$		None	✓	$1$	$1$	$-6$	$-23$	$-25$	$-33$	$+$		$\mathrm{SU}(2)$
8003.2.a.b	$8003$	$2$	8003.a	1.a	$1$	$153$	$153$	$63.904$		None	✓	$1$	$1$	$-9$	$-17$	$-31$	$-17$	$+$		$\mathrm{SU}(2)$
8003.2.a.c	$8003$	$2$	8003.a	1.a	$1$	$172$	$172$	$63.904$		None	✓	$1$	$0$	$8$	$25$	$27$	$31$	$-$		$\mathrm{SU}(2)$
8003.2.a.d	$8003$	$2$	8003.a	1.a	$1$	$179$	$179$	$63.904$		None	✓	$1$	$0$	$8$	$15$	$27$	$23$	$-$		$\mathrm{SU}(2)$
8005.2.a.e	$8005$	$2$	8005.a	1.a	$1$	$126$	$126$	$63.920$		None	✓	$1$	$1$	$-15$	$-46$	$126$	$-60$	$+$		$\mathrm{SU}(2)$
8005.2.a.f	$8005$	$2$	8005.a	1.a	$1$	$127$	$127$	$63.920$		None	✓	$1$	$1$	$-6$	$-18$	$-127$	$28$	$+$		$\mathrm{SU}(2)$
8005.2.a.g	$8005$	$2$	8005.a	1.a	$1$	$137$	$137$	$63.920$		None	✓	$1$	$0$	$4$	$20$	$-137$	$-30$	$-$		$\mathrm{SU}(2)$
8005.2.a.h	$8005$	$2$	8005.a	1.a	$1$	$137$	$137$	$63.920$		None	✓	$1$	$0$	$17$	$46$	$137$	$53$	$-$		$\mathrm{SU}(2)$
8009.2.a.a	$8009$	$2$	8009.a	1.a	$1$	$306$	$306$	$63.952$		None	✓	$1$	$1$	$-13$	$-25$	$-25$	$-102$	$+$		$\mathrm{SU}(2)$
8009.2.a.b	$8009$	$2$	8009.a	1.a	$1$	$361$	$361$	$63.952$		None	✓	$1$	$0$	$10$	$23$	$21$	$106$	$-$		$\mathrm{SU}(2)$
8011.2.a.a	$8011$	$2$	8011.a	1.a	$1$	$309$	$309$	$63.968$		None	✓	$1$	$1$	$-33$	$-15$	$-74$	$-19$	$+$		$\mathrm{SU}(2)$
8011.2.a.b	$8011$	$2$	8011.a	1.a	$1$	$358$	$358$	$63.968$		None	✓	$1$	$0$	$33$	$11$	$76$	$19$	$-$		$\mathrm{SU}(2)$
8013.2.a.b	$8013$	$2$	8013.a	1.a	$1$	$106$	$106$	$63.984$		None	✓	$1$	$0$	$15$	$-106$	$16$	$35$	$-$		$\mathrm{SU}(2)$
8013.2.a.c	$8013$	$2$	8013.a	1.a	$1$	$116$	$116$	$63.984$		None	✓	$1$	$1$	$-16$	$-116$	$-20$	$-33$	$+$		$\mathrm{SU}(2)$
8013.2.a.d	$8013$	$2$	8013.a	1.a	$1$	$129$	$129$	$63.984$		None	✓	$1$	$0$	$15$	$129$	$16$	$61$	$-$		$\mathrm{SU}(2)$
8017.2.a.a	$8017$	$2$	8017.a	1.a	$1$	$327$	$327$	$64.016$		None	✓	$1$	$1$	$-23$	$-48$	$-55$	$-87$	$+$		$\mathrm{SU}(2)$
8017.2.a.b	$8017$	$2$	8017.a	1.a	$1$	$340$	$340$	$64.016$		None	✓	$1$	$0$	$20$	$44$	$53$	$81$	$-$		$\mathrm{SU}(2)$
8021.2.a.a	$8021$	$2$	8021.a	1.a	$1$	$134$	$134$	$64.048$		None	✓	$1$	$1$	$-6$	$-33$	$-8$	$-32$	$+$		$\mathrm{SU}(2)$
8021.2.a.b	$8021$	$2$	8021.a	1.a	$1$	$140$	$140$	$64.048$		None	✓	$1$	$1$	$-6$	$-9$	$-12$	$-32$	$+$		$\mathrm{SU}(2)$
8021.2.a.c	$8021$	$2$	8021.a	1.a	$1$	$169$	$169$	$64.048$		None	✓	$1$	$0$	$9$	$9$	$12$	$36$	$-$		$\mathrm{SU}(2)$
8021.2.a.d	$8021$	$2$	8021.a	1.a	$1$	$174$	$174$	$64.048$		None	✓	$1$	$0$	$6$	$37$	$10$	$28$	$-$		$\mathrm{SU}(2)$
8023.2.a.b	$8023$	$2$	8023.a	1.a	$1$	$155$	$155$	$64.064$		None	✓	$1$	$1$	$-21$	$-16$	$-26$	$-40$	$+$		$\mathrm{SU}(2)$
8023.2.a.c	$8023$	$2$	8023.a	1.a	$1$	$158$	$158$	$64.064$		None	✓	$1$	$1$	$-24$	$-23$	$-31$	$-2$	$+$		$\mathrm{SU}(2)$
8023.2.a.d	$8023$	$2$	8023.a	1.a	$1$	$165$	$165$	$64.064$		None	✓	$1$	$0$	$22$	$18$	$28$	$24$	$-$		$\mathrm{SU}(2)$
8023.2.a.e	$8023$	$2$	8023.a	1.a	$1$	$172$	$172$	$64.064$		None	✓	$1$	$0$	$24$	$18$	$28$	$4$	$-$		$\mathrm{SU}(2)$
8027.2.a.c	$8027$	$2$	8027.a	1.a	$1$	$143$	$143$	$64.096$		None	✓	$1$	$1$	$-17$	$-17$	$-22$	$-33$	$+$		$\mathrm{SU}(2)$
8027.2.a.d	$8027$	$2$	8027.a	1.a	$1$	$149$	$149$	$64.096$		None	✓	$1$	$1$	$-5$	$-5$	$-28$	$-33$	$+$		$\mathrm{SU}(2)$
8027.2.a.e	$8027$	$2$	8027.a	1.a	$1$	$169$	$169$	$64.096$		None	✓	$1$	$0$	$6$	$2$	$28$	$38$	$-$		$\mathrm{SU}(2)$
8027.2.a.f	$8027$	$2$	8027.a	1.a	$1$	$176$	$176$	$64.096$		None	✓	$1$	$0$	$19$	$22$	$28$	$30$	$-$		$\mathrm{SU}(2)$
8031.2.a.b	$8031$	$2$	8031.a	1.a	$1$	$102$	$102$	$64.128$		None	✓	$1$	$1$	$-6$	$-102$	$-20$	$12$	$+$		$\mathrm{SU}(2)$
8031.2.a.c	$8031$	$2$	8031.a	1.a	$1$	$121$	$121$	$64.128$		None	✓	$1$	$0$	$7$	$-121$	$24$	$-14$	$-$		$\mathrm{SU}(2)$
8031.2.a.d	$8031$	$2$	8031.a	1.a	$1$	$132$	$132$	$64.128$		None	✓	$1$	$0$	$4$	$132$	$20$	$44$	$-$		$\mathrm{SU}(2)$
8033.2.a.b	$8033$	$2$	8033.a	1.a	$1$	$153$	$153$	$64.144$		None	✓	$1$	$1$	$-3$	$-12$	$-11$	$-76$	$+$		$\mathrm{SU}(2)$
8033.2.a.c	$8033$	$2$	8033.a	1.a	$1$	$154$	$154$	$64.144$		None	✓	$1$	$1$	$-12$	$-36$	$-9$	$-68$	$+$		$\mathrm{SU}(2)$
8033.2.a.d	$8033$	$2$	8033.a	1.a	$1$	$168$	$168$	$64.144$		None	✓	$1$	$0$	$12$	$35$	$12$	$74$	$-$		$\mathrm{SU}(2)$
8033.2.a.e	$8033$	$2$	8033.a	1.a	$1$	$169$	$169$	$64.144$		None	✓	$1$	$0$	$3$	$8$	$13$	$76$	$-$		$\mathrm{SU}(2)$
8035.2.a.b	$8035$	$2$	8035.a	1.a	$1$	$114$	$114$	$64.160$		None	✓	$1$	$1$	$-17$	$-10$	$114$	$-11$	$+$		$\mathrm{SU}(2)$
8035.2.a.c	$8035$	$2$	8035.a	1.a	$1$	$127$	$127$	$64.160$		None	✓	$1$	$0$	$19$	$10$	$-127$	$13$	$-$		$\mathrm{SU}(2)$
8035.2.a.d	$8035$	$2$	8035.a	1.a	$1$	$140$	$140$	$64.160$		None	✓	$1$	$1$	$-20$	$-12$	$-140$	$-15$	$+$		$\mathrm{SU}(2)$
8035.2.a.e	$8035$	$2$	8035.a	1.a	$1$	$153$	$153$	$64.160$		None	✓	$1$	$0$	$18$	$7$	$153$	$5$	$-$		$\mathrm{SU}(2)$
8039.2.a.a	$8039$	$2$	8039.a	1.a	$1$	$279$	$279$	$64.192$		None	✓	$1$	$1$	$-13$	$-12$	$-20$	$-57$	$+$		$\mathrm{SU}(2)$
8039.2.a.b	$8039$	$2$	8039.a	1.a	$1$	$391$	$391$	$64.192$		None	✓	$1$	$0$	$14$	$12$	$22$	$63$	$-$		$\mathrm{SU}(2)$
8042.2.a.d	$8042$	$2$	8042.a	1.a	$1$	$101$	$101$	$64.216$		None	✓	$1$	$0$	$101$	$10$	$19$	$42$	$-$		$\mathrm{SU}(2)$
8045.2.a.b	$8045$	$2$	8045.a	1.a	$1$	$126$	$126$	$64.240$		None	✓	$1$	$1$	$5$	$-9$	$-126$	$-23$	$+$		$\mathrm{SU}(2)$
8045.2.a.c	$8045$	$2$	8045.a	1.a	$1$	$127$	$127$	$64.240$		None	✓	$1$	$1$	$-20$	$-31$	$127$	$-63$	$+$		$\mathrm{SU}(2)$
8045.2.a.d	$8045$	$2$	8045.a	1.a	$1$	$141$	$141$	$64.240$		None	✓	$1$	$0$	$-8$	$11$	$-141$	$29$	$-$		$\mathrm{SU}(2)$
8045.2.a.e	$8045$	$2$	8045.a	1.a	$1$	$142$	$142$	$64.240$		None	✓	$1$	$0$	$21$	$33$	$142$	$63$	$-$		$\mathrm{SU}(2)$
8047.2.a.b	$8047$	$2$	8047.a	1.a	$1$	$142$	$142$	$64.256$		None	✓	$1$	$1$	$-13$	$-26$	$-37$	$-14$	$+$		$\mathrm{SU}(2)$
8047.2.a.c	$8047$	$2$	8047.a	1.a	$1$	$151$	$151$	$64.256$		None	✓	$1$	$1$	$-13$	$-16$	$-43$	$-18$	$+$		$\mathrm{SU}(2)$
8047.2.a.d	$8047$	$2$	8047.a	1.a	$1$	$156$	$156$	$64.256$		None	✓	$1$	$0$	$13$	$23$	$39$	$19$	$-$		$\mathrm{SU}(2)$

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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.