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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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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
9.8.c.a	$9$	$8$	9.c	9.c	$3$	$12$	$6$	$2.811$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$-9$	$24$	$-180$	$-84$	$2^{8}\cdot 3^{15}$	$\mathrm{SU}(2)[C_{3}]$	$q+(-\beta _{2}-\beta _{3})q^{2}+(1-\beta _{1}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots$
9.9.d.a	$9$	$9$	9.d	9.d	$6$	$14$	$7$	$3.666$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$-3$	$-93$	$438$	$922$	$2^{6}\cdot 3^{21}$	$\mathrm{SU}(2)[C_{6}]$	$q-\beta _{1}q^{2}+(-5-3\beta _{3}+\beta _{4}+\beta _{6})q^{3}+\cdots$
7.11.d.a	$7$	$11$	7.d	7.d	$6$	$12$	$6$	$4.448$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$-12$	$-246$	$3330$	$-12572$	$2^{10}\cdot 3^{4}\cdot 7^{6}$	$\mathrm{SU}(2)[C_{6}]$	$q+(-2-\beta _{1}-2\beta _{2})q^{2}+(-3^{3}+2\beta _{1}+\cdots)q^{3}+\cdots$
9.10.c.a	$9$	$10$	9.c	9.c	$3$	$16$	$8$	$4.635$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$15$	$-3$	$453$	$-343$	$2^{14}\cdot 3^{28}\cdot 17^{2}$	$\mathrm{SU}(2)[C_{3}]$	$q+(2+\beta _{2}-2\beta _{3})q^{2}+(9-18\beta _{3}+\beta _{5}+\cdots)q^{3}+\cdots$
7.12.c.a	$7$	$12$	7.c	7.c	$3$	$12$	$6$	$5.378$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$22$	$-244$	$-8782$	$-504$	$2^{20}\cdot 3^{3}\cdot 7^{6}$	$\mathrm{SU}(2)[C_{3}]$	$q+(4-\beta _{1}-4\beta _{2})q^{2}+(\beta _{1}-40\beta _{2}+\beta _{3}+\cdots)q^{3}+\cdots$
9.11.d.a	$9$	$11$	9.d	9.d	$6$	$18$	$9$	$5.718$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None		$2$	$0$	$-3$	$51$	$4956$	$-6120$	$2^{14}\cdot 3^{36}$	$\mathrm{SU}(2)[C_{6}]$	$q-\beta _{3}q^{2}+(3-\beta _{1}+\beta _{3}+\beta _{4}-\beta _{6}+\cdots)q^{3}+\cdots$
5.15.c.a	$5$	$15$	5.c	5.c	$4$	$12$	$6$	$6.216$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$-130$	$-2160$	$17240$	$-1646400$	$2^{24}\cdot 3^{8}\cdot 5^{13}$	$\mathrm{SU}(2)[C_{4}]$	$q+(-11+11\beta _{2}-\beta _{3})q^{2}+(-180+\cdots)q^{3}+\cdots$
7.13.d.a	$7$	$13$	7.d	7.d	$6$	$14$	$7$	$6.398$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$44$	$-3$	$-9075$	$334278$	$2^{14}\cdot 3^{5}\cdot 7^{11}$	$\mathrm{SU}(2)[C_{6}]$	$q+(6+\beta _{1}+6\beta _{2})q^{2}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{3}+\cdots$
9.12.c.a	$9$	$12$	9.c	9.c	$3$	$20$	$10$	$6.915$	$\mathbb{Q}[x]/(x^{20} + \cdots)$	None		$2$	$0$	$-33$	$-12$	$-7230$	$8512$	$2^{24}\cdot 3^{45}$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}-3\beta _{3})q^{2}+(24-51\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots$
7.14.c.a	$7$	$14$	7.c	7.c	$3$	$16$	$8$	$7.506$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$-2$	$728$	$46928$	$257992$	$2^{34}\cdot 3^{7}\cdot 7^{11}$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{1}q^{2}+(91\beta _{2}-\beta _{4})q^{3}+(-6\beta _{1}+\cdots)q^{4}+\cdots$
5.17.c.a	$5$	$17$	5.c	5.c	$4$	$14$	$7$	$8.116$	$\mathbb{Q}[x]/(x^{14} + \cdots)$	None		$2$	$0$	$-2$	$7908$	$192880$	$-386452$	$2^{34}\cdot 3^{10}\cdot 5^{18}$	$\mathrm{SU}(2)[C_{4}]$	$q-\beta _{2}q^{2}+(565-3\beta _{1}-565\beta _{4}-\beta _{6}+\cdots)q^{3}+\cdots$
7.15.d.a	$7$	$15$	7.d	7.d	$6$	$16$	$8$	$8.703$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$-92$	$2184$	$-1680$	$-1237432$	$2^{24}\cdot 3^{8}\cdot 7^{14}$	$\mathrm{SU}(2)[C_{6}]$	$q+(-1+\beta _{1}+11\beta _{2}+\beta _{3})q^{2}+(92+\cdots)q^{3}+\cdots$
8.15.d.b	$8$	$15$	8.d	8.d	$2$	$12$	$12$	$9.946$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$218$	$-3024$	$0$	$0$	$2^{66}\cdot 3^{6}\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	$q+(18+\beta _{1})q^{2}+(-252+3\beta _{1}+\beta _{3}+\cdots)q^{3}+\cdots$
7.16.c.a	$7$	$16$	7.c	7.c	$3$	$18$	$9$	$9.989$	$\mathbb{Q}[x]/(x^{18} + \cdots)$	None		$2$	$0$	$-90$	$-4375$	$-234087$	$-5213740$	$2^{40}\cdot 3^{9}\cdot 5^{6}\cdot 7^{15}$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}+10\beta _{2}-\beta _{3})q^{2}+(-486-486\beta _{2}+\cdots)q^{3}+\cdots$
5.19.c.a	$5$	$19$	5.c	5.c	$4$	$16$	$8$	$10.269$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$2$	$0$	$510$	$-20130$	$3145170$	$78767350$	$2^{39}\cdot 3^{12}\cdot 5^{25}$	$\mathrm{SU}(2)[C_{4}]$	$q+(2^{5}+\beta _{2}+2^{5}\beta _{4})q^{2}+(-1259-5\beta _{1}+\cdots)q^{3}+\cdots$
7.17.d.a	$7$	$17$	7.d	7.d	$6$	$20$	$10$	$11.363$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None		$2$	$0$	$92$	$6558$	$241890$	$-1847944$	$2^{38}\cdot 3^{16}\cdot 7^{22}$	$\mathrm{SU}(2)[C_{6}]$	$q+(9-\beta _{1}+9\beta _{2}-\beta _{3})q^{2}+(438+\beta _{1}+\cdots)q^{3}+\cdots$
8.16.b.a	$8$	$16$	8.b	8.b	$2$	$14$	$14$	$11.415$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$-90$	$0$	$0$	$-1647088$	$2^{91}\cdot 3^{6}\cdot 5^{4}\cdot 31^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-6-\beta _{1})q^{2}+\beta _{2}q^{3}+(3672+5\beta _{1}+\cdots)q^{4}+\cdots$
5.21.c.a	$5$	$21$	5.c	5.c	$4$	$18$	$9$	$12.676$	$\mathbb{Q}[x]/(x^{18} + \cdots)$	None		$2$	$0$	$-2$	$29448$	$-7302140$	$-585532752$	$2^{48}\cdot 3^{16}\cdot 5^{32}$	$\mathrm{SU}(2)[C_{4}]$	$q-\beta _{1}q^{2}+(1636-\beta _{2}-1636\beta _{4}-\beta _{5}+\cdots)q^{3}+\cdots$
7.18.c.a	$7$	$18$	7.c	7.c	$3$	$20$	$10$	$12.826$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None		$2$	$0$	$270$	$6560$	$1089798$	$14395360$	$2^{50}\cdot 3^{18}\cdot 7^{19}$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}+3^{3}\beta _{2})q^{2}+(656-656\beta _{2}-\beta _{3}+\cdots)q^{3}+\cdots$
8.17.d.b	$8$	$17$	8.d	8.d	$2$	$14$	$14$	$12.986$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$-350$	$11964$	$0$	$0$	$2^{91}\cdot 3^{10}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-5^{2}-\beta _{1})q^{2}+(855-6\beta _{1}+\beta _{3}+\cdots)q^{3}+\cdots$
8.18.b.a	$8$	$18$	8.b	8.b	$2$	$16$	$16$	$14.658$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$270$	$0$	$0$	$11529600$	$2^{120}\cdot 3^{14}\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	$q+(17-\beta _{1})q^{2}+(3\beta _{1}-\beta _{2})q^{3}+(-1712+\cdots)q^{4}+\cdots$
5.23.c.a	$5$	$23$	5.c	5.c	$4$	$20$	$10$	$15.335$	$\mathbb{Q}[x]/(x^{20} + \cdots)$	None		$2$	$0$	$-2050$	$33900$	$9244700$	$1362465500$	$2^{61}\cdot 3^{18}\cdot 5^{41}$	$\mathrm{SU}(2)[C_{4}]$	$q+(-102-\beta _{1}-103\beta _{4})q^{2}+(1697+\cdots)q^{3}+\cdots$
8.19.d.b	$8$	$19$	8.d	8.d	$2$	$16$	$16$	$16.431$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$426$	$3264$	$0$	$0$	$2^{120}\cdot 3^{13}\cdot 5^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(3^{3}+\beta _{1})q^{2}+(203-4\beta _{1}-\beta _{2})q^{3}+\cdots$
4.27.b.a	$4$	$27$	4.b	4.b	$2$	$12$	$12$	$17.132$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$180$	$0$	$-298775880$	$0$	$2^{132}\cdot 3^{17}\cdot 5^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q+(15-\beta _{1})q^{2}-\beta _{2}q^{3}+(-1879252+\cdots)q^{4}+\cdots$
7.21.b.b	$7$	$21$	7.b	7.b	$2$	$12$	$12$	$17.746$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$-576$	$0$	$0$	$-253136660$	$2^{36}\cdot 3^{9}\cdot 5^{5}\cdot 7^{13}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-48+\beta _{2})q^{2}-\beta _{1}q^{3}+(641603+\cdots)q^{4}+\cdots$
8.20.b.a	$8$	$20$	8.b	8.b	$2$	$18$	$18$	$18.305$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None		$2$	$0$	$-458$	$0$	$0$	$-80707216$	$2^{153}\cdot 3^{16}\cdot 5^{4}\cdot 7$	$\mathrm{SU}(2)[C_{2}]$	$q+(-5^{2}+\beta _{1})q^{2}+(2+5\beta _{1}-\beta _{2})q^{3}+\cdots$
5.26.b.a	$5$	$26$	5.b	5.b	$2$	$12$	$12$	$19.800$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$0$	$549543060$	$0$	$2^{44}\cdot 3^{20}\cdot 5^{29}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-19\beta _{1}-\beta _{3})q^{3}+(-13890962+\cdots)q^{4}+\cdots$
4.29.b.b	$4$	$29$	4.b	4.b	$2$	$12$	$12$	$19.867$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$24300$	$0$	$-12399664680$	$0$	$2^{132}\cdot 3^{15}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(45^{2}+\beta _{1})q^{2}+(-6\beta _{1}+\beta _{2})q^{3}+\cdots$
8.21.d.b	$8$	$21$	8.d	8.d	$2$	$18$	$18$	$20.281$	$\mathbb{Q}[x]/(x^{18} + \cdots)$	None		$2$	$0$	$-398$	$-114228$	$0$	$0$	$2^{153}\cdot 3^{15}\cdot 5^{4}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-22+\beta _{1})q^{2}+(-6347-5\beta _{1}+\cdots)q^{3}+\cdots$
7.23.b.b	$7$	$23$	7.b	7.b	$2$	$12$	$12$	$21.470$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$-1936$	$0$	$0$	$2824048556$	$2^{51}\cdot 3^{12}\cdot 5^{2}\cdot 7^{14}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-161-\beta _{2})q^{2}-\beta _{1}q^{3}+(2033695+\cdots)q^{4}+\cdots$
8.22.b.a	$8$	$22$	8.b	8.b	$2$	$20$	$20$	$22.358$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None		$2$	$0$	$286$	$0$	$0$	$564950496$	$2^{190}\cdot 3^{14}\cdot 5^{4}\cdot 7^{7}$	$\mathrm{SU}(2)[C_{2}]$	$q+(14-\beta _{1})q^{2}+(1+3\beta _{1}-\beta _{2})q^{3}+\cdots$
4.31.b.a	$4$	$31$	4.b	4.b	$2$	$14$	$14$	$22.806$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$-24476$	$0$	$14864798540$	$0$	$2^{182}\cdot 3^{19}\cdot 5^{5}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1748+\beta _{1})q^{2}+(9+30\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$
5.28.b.a	$5$	$28$	5.b	5.b	$2$	$12$	$12$	$23.093$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$0$	$-1634543100$	$0$	$2^{50}\cdot 3^{18}\cdot 5^{31}\cdot 7^{4}\cdot 11$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(-65836838+\beta _{2}+\cdots)q^{4}+\cdots$
8.23.d.b	$8$	$23$	8.d	8.d	$2$	$20$	$20$	$24.537$	$\mathbb{Q}[x]/(x^{20} - \cdots)$	None		$2$	$0$	$506$	$199056$	$0$	$0$	$2^{190}\cdot 3^{20}\cdot 5^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(5^{2}+\beta _{1})q^{2}+(9955-6\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots$
7.25.b.b	$7$	$25$	7.b	7.b	$2$	$14$	$14$	$25.548$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None		$2$	$0$	$8096$	$0$	$0$	$-9688836402$	$2^{47}\cdot 3^{16}\cdot 5^{8}\cdot 7^{19}$	$\mathrm{SU}(2)[C_{2}]$	$q+(578+\beta _{1})q^{2}+\beta _{2}q^{3}+(6126036+\cdots)q^{4}+\cdots$
4.33.b.b	$4$	$33$	4.b	4.b	$2$	$14$	$14$	$25.947$	$\mathbb{Q}[x]/(x^{14} + \cdots)$	None		$2$	$0$	$-23780$	$0$	$138121491740$	$0$	$2^{182}\cdot 3^{20}\cdot 5^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1699+\beta _{1})q^{2}+(9-21\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots$
5.30.b.a	$5$	$30$	5.b	5.b	$2$	$14$	$14$	$26.639$	$\mathbb{Q}[x]/(x^{14} + \cdots)$	None		$2$	$0$	$0$	$0$	$-11253304710$	$0$	$2^{64}\cdot 3^{26}\cdot 5^{41}\cdot 7^{4}\cdot 11\cdot 19$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(18\beta _{1}-\beta _{3})q^{3}+(-248541663+\cdots)q^{4}+\cdots$
3.39.b.a	$3$	$39$	3.b	3.b	$2$	$12$	$12$	$27.439$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$-114742404$	$0$	$81\!\cdots\!48$	$2^{75}\cdot 3^{91}\cdot 5^{7}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-9561867+97\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots$
4.35.b.a	$4$	$35$	4.b	4.b	$2$	$16$	$16$	$29.290$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$-27372$	$0$	$-21372255840$	$0$	$2^{240}\cdot 3^{26}\cdot 5^{6}\cdot 7^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1711+\beta _{1})q^{2}+(19-76\beta _{1}-\beta _{2}+\cdots)q^{3}+\cdots$
7.27.b.b	$7$	$27$	7.b	7.b	$2$	$16$	$16$	$29.981$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$2$	$0$	$-16560$	$0$	$0$	$241974657680$	$2^{78}\cdot 3^{21}\cdot 5^{7}\cdot 7^{26}$	$\mathrm{SU}(2)[C_{2}]$	$q+(-1035-\beta _{2})q^{2}+\beta _{1}q^{3}+(24994892+\cdots)q^{4}+\cdots$
3.41.b.a	$3$	$41$	3.b	3.b	$2$	$12$	$12$	$30.403$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$-372082572$	$0$	$-94\!\cdots\!84$	$2^{63}\cdot 3^{98}\cdot 5^{6}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-31006881-471\beta _{1}+\cdots)q^{3}+\cdots$
5.32.b.a	$5$	$32$	5.b	5.b	$2$	$14$	$14$	$30.439$	$\mathbb{Q}[x]/(x^{14} + \cdots)$	None		$2$	$0$	$0$	$0$	$31141203450$	$0$	$2^{67}\cdot 3^{24}\cdot 5^{43}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(\beta _{1}+\beta _{4})q^{3}+(-923659925+\cdots)q^{4}+\cdots$
10.23.c.b	$10$	$23$	10.c	5.c	$4$	$12$	$6$	$30.671$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$12288$	$-6624$	$-3786600$	$-2065675776$	$2^{40}\cdot 3^{16}\cdot 5^{26}$	$\mathrm{SU}(2)[C_{4}]$	$q+(2^{10}-2^{10}\beta _{1})q^{2}+(-552-552\beta _{1}+\cdots)q^{3}+\cdots$
4.37.b.b	$4$	$37$	4.b	4.b	$2$	$16$	$16$	$32.837$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$2$	$0$	$177228$	$0$	$58\!\cdots\!60$	$0$	$2^{240}\cdot 3^{24}\cdot 5^{6}\cdot 7^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+(11077+\beta _{1})q^{2}+(50+198\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots$
3.43.b.b	$3$	$43$	3.b	3.b	$2$	$12$	$12$	$33.518$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$16987205196$	$0$	$-41\!\cdots\!32$	$2^{73}\cdot 3^{104}\cdot 5^{6}\cdot 7^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(1415600433+546\beta _{1}+\cdots)q^{3}+\cdots$
10.24.b.a	$10$	$24$	10.b	5.b	$2$	$12$	$12$	$33.520$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	None		$2$	$0$	$0$	$0$	$-153465660$	$0$	$2^{88}\cdot 3^{8}\cdot 5^{27}\cdot 11^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{2}+(30\beta _{1}+\beta _{2})q^{3}-2^{22}q^{4}+\cdots$
5.34.b.a	$5$	$34$	5.b	5.b	$2$	$16$	$16$	$34.491$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$2$	$0$	$0$	$0$	$-232168160280$	$0$	$2^{83}\cdot 3^{26}\cdot 5^{53}\cdot 7^{4}\cdot 11^{8}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-52\beta _{1}+\beta _{3})q^{3}+(-4553207930+\cdots)q^{4}+\cdots$
7.29.b.b	$7$	$29$	7.b	7.b	$2$	$16$	$16$	$34.768$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	None		$2$	$0$	$17280$	$0$	$0$	$-16\!\cdots\!60$	$2^{72}\cdot 3^{20}\cdot 5^{6}\cdot 7^{28}$	$\mathrm{SU}(2)[C_{2}]$	$q+(1080-\beta _{2})q^{2}-\beta _{1}q^{3}+(106999658+\cdots)q^{4}+\cdots$
10.25.c.a	$10$	$25$	10.c	5.c	$4$	$12$	$6$	$36.497$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$-24576$	$140112$	$505279320$	$651354672$	$2^{38}\cdot 3^{8}\cdot 5^{28}$	$\mathrm{SU}(2)[C_{4}]$	$q+(-2^{11}+2^{11}\beta _{1})q^{2}+(11676+11676\beta _{1}+\cdots)q^{3}+\cdots$
10.25.c.b	$10$	$25$	10.c	5.c	$4$	$12$	$6$	$36.497$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None		$2$	$0$	$24576$	$729008$	$79466520$	$-21923769552$	$2^{36}\cdot 3^{12}\cdot 5^{28}$	$\mathrm{SU}(2)[C_{4}]$	$q+(2^{11}+2^{11}\beta _{1})q^{2}+(60751-60751\beta _{1}+\cdots)q^{3}+\cdots$

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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.