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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 (19 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				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
1141.1.bz.a	$1141$	$1$	1141.bz	1141.az	$162$	$54$	$1$	$0.569$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{75}+\zeta_{162}^{76})q^{2}+(-\zeta_{162}^{69}+\cdots)q^{4}+\cdots$
1304.1.bh.a	$1304$	$1$	1304.bh	1304.ah	$162$	$54$	$1$	$0.651$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{162}^{77}q^{2}+(\zeta_{162}^{30}-\zeta_{162}^{53})q^{3}+\cdots$
1461.1.t.a	$1461$	$1$	1461.t	1461.t	$162$	$54$	$1$	$0.729$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{162}^{32}q^{3}+\zeta_{162}^{4}q^{4}+(\zeta_{162}^{26}+\zeta_{162}^{76}+\cdots)q^{7}+\cdots$
1793.1.be.a	$1793$	$1$	1793.be	1793.ae	$162$	$54$	$1$	$0.895$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{65}+\zeta_{162}^{66})q^{3}-\zeta_{162}^{43}q^{4}+\cdots$
1863.1.s.a	$1863$	$1$	1863.s	1863.s	$54$	$54$	$3$	$0.930$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{162}^{4}-\zeta_{162}^{11})q^{2}+\zeta_{162}^{28}q^{3}+\cdots$
1944.1.bh.a	$1944$	$1$	1944.bh	1944.ah	$162$	$54$	$1$	$0.970$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-2}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{162}^{32}q^{2}-\zeta_{162}^{29}q^{3}+\zeta_{162}^{64}q^{4}+\cdots$
1956.1.bn.a	$1956$	$1$	1956.bn	489.t	$162$	$54$	$1$	$0.976$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{162}^{73}q^{3}+(\zeta_{162}^{58}+\zeta_{162}^{78})q^{7}+\cdots$
2673.1.be.a	$2673$	$1$	2673.be	2673.ae	$162$	$54$	$1$	$1.334$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-11}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{162}^{52}q^{3}-\zeta_{162}^{13}q^{4}+(\zeta_{162}^{24}+\cdots)q^{5}+\cdots$
3097.1.fa.a	$3097$	$1$	3097.fa	3097.ea	$162$	$54$	$1$	$1.546$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-19}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{162}^{14}q^{4}+(\zeta_{162}^{52}-\zeta_{162}^{77})q^{5}+\cdots$
3260.1.cb.a	$3260$	$1$	3260.cb	3260.bb	$162$	$54$	$1$	$1.627$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{162}^{14}q^{2}+(\zeta_{162}^{76}-\zeta_{162}^{79})q^{3}+\cdots$
3260.1.cb.b	$3260$	$1$	3260.cb	3260.bb	$162$	$54$	$1$	$1.627$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-5}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{162}^{14}q^{2}+(-\zeta_{162}^{76}+\zeta_{162}^{79}+\cdots)q^{3}+\cdots$
3379.1.cy.a	$3379$	$1$	3379.cy	3379.by	$54$	$54$	$3$	$1.686$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-31}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{5}+\zeta_{162}^{58})q^{2}+(\zeta_{162}^{10}-\zeta_{162}^{35}+\cdots)q^{4}+\cdots$
3409.1.bz.a	$3409$	$1$	3409.bz	3409.az	$162$	$54$	$1$	$1.701$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-7}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{5}+\zeta_{162}^{50})q^{2}+(\zeta_{162}^{10}-\zeta_{162}^{19}+\cdots)q^{4}+\cdots$
3423.1.dz.a	$3423$	$1$	3423.dz	3423.cz	$162$	$54$	$1$	$1.708$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{162}^{76}q^{3}+\zeta_{162}^{40}q^{4}-\zeta_{162}^{43}q^{7}+\cdots$
3423.1.ee.a	$3423$	$1$	3423.ee	3423.de	$162$	$54$	$1$	$1.708$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-3}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{162}^{47}q^{3}-\zeta_{162}^{29}q^{4}-\zeta_{162}^{21}q^{7}+\cdots$
3671.1.b.d	$3671$	$1$	3671.b	3671.b	$2$	$27$	$27$	$1.832$	$\Q(\zeta_{162})^+$	$D_{81}$	$\Q(\sqrt{-3671}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\beta _{11}q^{2}-\beta _{25}q^{3}+(1+\beta _{22})q^{4}+\cdots$
3749.1.ba.a	$3749$	$1$	3749.ba	3749.aa	$162$	$54$	$1$	$1.871$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(\zeta_{162}^{34}+\zeta_{162}^{40})q^{2}+(-\zeta_{162}^{37}+\cdots)q^{3}+\cdots$
3749.1.ba.b	$3749$	$1$	3749.ba	3749.aa	$162$	$54$	$1$	$1.871$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{13}-\zeta_{162}^{61})q^{2}+(-\zeta_{162}^{39}+\cdots)q^{3}+\cdots$
3749.1.ba.c	$3749$	$1$	3749.ba	3749.aa	$162$	$54$	$1$	$1.871$	$\Q(\zeta_{162})$	$D_{81}$	$\Q(\sqrt{-23}) $	None		$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{162}^{7}-\zeta_{162}^{67})q^{2}+(\zeta_{162}^{10}+\zeta_{162}^{12}+\cdots)q^{3}+\cdots$

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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.