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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 503 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
1816.1.l.a	$1816$	$1$	1816.l	1816.l	$226$	$112$	$1$	$0.906$	$\Q(\zeta_{226})$	$D_{113}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$-1$	$-2$	$0$	$0$		$1$		$q+\zeta_{226}^{68}q^{2}+(\zeta_{226}^{62}+\zeta_{226}^{92})q^{3}+\cdots$
1841.1.l.a	$1841$	$1$	1841.l	1841.l	$262$	$130$	$1$	$0.919$	$\Q(\zeta_{262})$	$D_{131}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$-2$	$0$	$0$	$-1$		$1$		$q+(-\zeta_{262}^{49}+\zeta_{262}^{88})q^{2}+(\zeta_{262}^{6}-\zeta_{262}^{45}+\cdots)q^{4}+\cdots$
1857.1.l.a	$1857$	$1$	1857.l	1857.l	$206$	$102$	$1$	$0.927$	$\Q(\zeta_{206})$	$D_{103}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$		$1$		$q-\zeta_{206}^{23}q^{3}+\zeta_{206}^{94}q^{4}+(\zeta_{206}^{36}+\cdots)q^{7}+\cdots$
1929.1.k.a	$1929$	$1$	1929.k	1929.k	$214$	$106$	$1$	$0.963$	$\Q(\zeta_{214})$	$D_{107}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$-1$	$0$	$-2$		$1$		$q-\zeta_{214}^{39}q^{3}-\zeta_{214}^{105}q^{4}+(\zeta_{214}^{30}+\cdots)q^{7}+\cdots$
1017.2.e.e	$1017$	$2$	1017.e	9.c	$3$	$112$	$56$	$8.121$		$_{}$	None	None		$2$	$0$	$4$	$0$	$8$	$-37$			$\mathrm{SU}(2)[C_{3}]$
1099.2.e.b	$1099$	$2$	1099.e	7.c	$3$	$110$	$55$	$8.776$		$_{}$	None	None		$2$	$0$	$-14$	$0$	$-2$	$-2$			$\mathrm{SU}(2)[C_{3}]$
1115.2.b.a	$1115$	$2$	1115.b	5.b	$2$	$110$	$110$	$8.903$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1135.2.b.a	$1135$	$2$	1135.b	5.b	$2$	$112$	$112$	$9.063$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1141.2.e.a	$1141$	$2$	1141.e	7.c	$3$	$108$	$54$	$9.111$		$_{}$	None	None		$2$	$0$	$0$	$-10$	$-30$	$-2$			$\mathrm{SU}(2)[C_{3}]$
1141.2.e.b	$1141$	$2$	1141.e	7.c	$3$	$108$	$54$	$9.111$		$_{}$	None	None		$2$	$0$	$0$	$10$	$30$	$-2$			$\mathrm{SU}(2)[C_{3}]$
1165.2.b.a	$1165$	$2$	1165.b	5.b	$2$	$116$	$116$	$9.303$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1169.2.e.e	$1169$	$2$	1169.e	7.c	$3$	$130$	$65$	$9.335$		$_{}$	None	None		$2$	$0$	$-8$	$-4$	$1$	$-1$			$\mathrm{SU}(2)[C_{3}]$
1211.2.e.d	$1211$	$2$	1211.e	7.c	$3$	$124$	$62$	$9.670$		$_{}$	None	None		$2$	$0$	$-8$	$-5$	$-1$	$-8$			$\mathrm{SU}(2)[C_{3}]$
1253.2.e.a	$1253$	$2$	1253.e	7.c	$3$	$118$	$59$	$10.005$		$_{}$	None	None		$2$	$0$	$0$	$-7$	$-17$	$0$			$\mathrm{SU}(2)[C_{3}]$
1253.2.e.b	$1253$	$2$	1253.e	7.c	$3$	$118$	$59$	$10.005$		$_{}$	None	None		$2$	$0$	$0$	$5$	$15$	$0$			$\mathrm{SU}(2)[C_{3}]$
1267.2.e.b	$1267$	$2$	1267.e	7.c	$3$	$106$	$53$	$10.117$		$_{}$	None	None		$2$	$0$	$7$	$-2$	$1$	$5$			$\mathrm{SU}(2)[C_{3}]$
1267.2.e.c	$1267$	$2$	1267.e	7.c	$3$	$130$	$65$	$10.117$		$_{}$	None	None		$2$	$0$	$-10$	$0$	$1$	$-3$			$\mathrm{SU}(2)[C_{3}]$
1285.2.b.a	$1285$	$2$	1285.b	5.b	$2$	$128$	$128$	$10.261$		$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1315.2.b.a	$1315$	$2$	1315.b	5.b	$2$	$130$	$130$	$10.500$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-4$	$0$			$\mathrm{SU}(2)[C_{2}]$
1337.2.e.a	$1337$	$2$	1337.e	7.c	$3$	$126$	$63$	$10.676$		$_{}$	None	None		$2$	$0$	$0$	$-9$	$-10$	$-1$			$\mathrm{SU}(2)[C_{3}]$
1337.2.e.b	$1337$	$2$	1337.e	7.c	$3$	$126$	$63$	$10.676$		$_{}$	None	None		$2$	$0$	$0$	$7$	$6$	$-1$			$\mathrm{SU}(2)[C_{3}]$
1351.2.f.b	$1351$	$2$	1351.f	7.c	$3$	$124$	$62$	$10.788$		$_{}$	None	None		$2$	$0$	$3$	$19$	$23$	$9$			$\mathrm{SU}(2)[C_{3}]$
1351.2.f.c	$1351$	$2$	1351.f	7.c	$3$	$128$	$64$	$10.788$		$_{}$	None	None		$2$	$0$	$0$	$-16$	$-23$	$-1$			$\mathrm{SU}(2)[C_{3}]$
1379.2.e.b	$1379$	$2$	1379.e	7.c	$3$	$120$	$60$	$11.011$		$_{}$	None	None		$2$	$0$	$-1$	$-21$	$-16$	$-4$			$\mathrm{SU}(2)[C_{3}]$
1379.2.e.c	$1379$	$2$	1379.e	7.c	$3$	$130$	$65$	$11.011$		$_{}$	None	None		$2$	$0$	$0$	$21$	$10$	$1$			$\mathrm{SU}(2)[C_{3}]$
1385.2.b.a	$1385$	$2$	1385.b	5.b	$2$	$138$	$138$	$11.059$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1393.2.e.a	$1393$	$2$	1393.e	7.c	$3$	$114$	$57$	$11.123$		$_{}$	None	None		$2$	$0$	$9$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{3}]$
1393.2.e.b	$1393$	$2$	1393.e	7.c	$3$	$150$	$75$	$11.123$		$_{}$	None	None		$2$	$0$	$-11$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{3}]$
1415.2.b.a	$1415$	$2$	1415.b	5.b	$2$	$140$	$140$	$11.299$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-4$	$0$			$\mathrm{SU}(2)[C_{2}]$
1465.2.c.a	$1465$	$2$	1465.c	5.b	$2$	$146$	$146$	$11.698$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1535.2.b.a	$1535$	$2$	1535.b	5.b	$2$	$152$	$152$	$12.257$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1565.2.b.a	$1565$	$2$	1565.b	5.b	$2$	$156$	$156$	$12.497$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1585.2.b.a	$1585$	$2$	1585.b	5.b	$2$	$158$	$158$	$12.656$		$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1685.2.c.a	$1685$	$2$	1685.c	5.b	$2$	$168$	$168$	$13.455$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1735.2.b.b	$1735$	$2$	1735.b	5.b	$2$	$170$	$170$	$13.854$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-8$	$0$			$\mathrm{SU}(2)[C_{2}]$
1765.2.b.a	$1765$	$2$	1765.b	5.b	$2$	$176$	$176$	$14.094$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1795.2.b.c	$1795$	$2$	1795.b	5.b	$2$	$108$	$108$	$14.333$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1835.2.b.a	$1835$	$2$	1835.b	5.b	$2$	$182$	$182$	$14.653$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$			$\mathrm{SU}(2)[C_{2}]$
1865.2.b.a	$1865$	$2$	1865.b	5.b	$2$	$186$	$186$	$14.892$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1915.2.c.a	$1915$	$2$	1915.c	5.b	$2$	$190$	$190$	$15.291$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1931.2.a.b	$1931$	$2$	1931.a	1.a	$1$	$101$	$101$	$15.419$		$_{}$	None	None	✓	$1$	$0$	$5$	$9$	$25$	$20$	$-$		$\mathrm{SU}(2)$
1945.2.b.b	$1945$	$2$	1945.b	5.b	$2$	$108$	$108$	$15.531$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1955.2.b.b	$1955$	$2$	1955.b	5.b	$2$	$102$	$102$	$15.611$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1979.2.a.c	$1979$	$2$	1979.a	1.a	$1$	$104$	$104$	$15.802$		$_{}$	None	None	✓	$1$	$0$	$4$	$9$	$25$	$23$	$-$		$\mathrm{SU}(2)$
1985.2.b.a	$1985$	$2$	1985.b	5.b	$2$	$198$	$198$	$15.850$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1009.4.a.a	$1009$	$4$	1009.a	1.a	$1$	$121$	$121$	$59.533$		$_{}$	None	None	✓	$1$	$1$	$-14$	$-38$	$-130$	$-138$	$-$		$\mathrm{SU}(2)$
1009.4.a.b	$1009$	$4$	1009.a	1.a	$1$	$131$	$131$	$59.533$		$_{}$	None	None	✓	$1$	$0$	$14$	$34$	$130$	$142$	$+$		$\mathrm{SU}(2)$
1013.4.a.a	$1013$	$4$	1013.a	1.a	$1$	$120$	$120$	$59.769$		$_{}$	None	None	✓	$1$	$1$	$-19$	$-62$	$-35$	$-263$	$-$		$\mathrm{SU}(2)$
1013.4.a.b	$1013$	$4$	1013.a	1.a	$1$	$133$	$133$	$59.769$		$_{}$	None	None	✓	$1$	$0$	$15$	$64$	$25$	$269$	$+$		$\mathrm{SU}(2)$
1019.4.a.a	$1019$	$4$	1019.a	1.a	$1$	$114$	$114$	$60.123$		$_{}$	None	None	✓	$1$	$1$	$-8$	$-23$	$-121$	$-100$	$-$		$\mathrm{SU}(2)$

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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.