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Lowest zero	Conductor	Analytic conductor	Central character	Analytic rank

Degree	Bad $p$	Root analytic conductor	Motivic weight	Spectral label

Root angle	Primitive	Origin	Exclude origin	Self-dual

Arithmetic

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Results (1-50 of 364 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-312-1.1-c3-0-0	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$0.551062$	Modular form 312.4.a.g.1.1
2-312-1.1-c3-0-1	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$0.582067$	Modular form 312.4.a.b.1.1
2-312-1.1-c3-0-10	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.71775$	Modular form 312.4.a.f.1.2
2-312-1.1-c3-0-11	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$1.72098$	Modular form 312.4.a.a.1.1
2-312-1.1-c3-0-12	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$1.75300$	Modular form 312.4.a.a.1.2
2-312-1.1-c3-0-13	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$1.87730$	Modular form 312.4.a.c.1.2
2-312-1.1-c3-0-14	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$2.00838$	Modular form 312.4.a.d.1.1
2-312-1.1-c3-0-15	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$2.00893$	Modular form 312.4.a.d.1.2
2-312-1.1-c3-0-16	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$2.06605$	Modular form 312.4.a.e.1.1
2-312-1.1-c3-0-17	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$2.13155$	Modular form 312.4.a.e.1.2
2-312-1.1-c3-0-2	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$0.821943$	Modular form 312.4.a.h.1.1
2-312-1.1-c3-0-3	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.08246$	Modular form 312.4.a.g.1.3
2-312-1.1-c3-0-4	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.10022$	Modular form 312.4.a.f.1.1
2-312-1.1-c3-0-5	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.10275$	Modular form 312.4.a.g.1.2
2-312-1.1-c3-0-6	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.18551$	Modular form 312.4.a.b.1.2
2-312-1.1-c3-0-7	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.29496$	Modular form 312.4.a.h.1.2
2-312-1.1-c3-0-8	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0$	$0$	$1.34536$	Modular form 312.4.a.h.1.3
2-312-1.1-c3-0-9	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	1.1	$3.0$	$3$	✓	✓	✓	$0.5$	$1$	$1.68543$	Modular form 312.4.a.c.1.1
2-312-104.77-c3-0-0	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.290$	$0$	$0.0327852$	Modular form 312.4.m.a.181.64
2-312-104.77-c3-0-1	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.343$	$0$	$0.0399588$	Modular form 312.4.m.a.181.19
2-312-104.77-c3-0-10	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.315$	$0$	$0.208771$	Modular form 312.4.m.a.181.15
2-312-104.77-c3-0-11	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.244$	$0$	$0.229926$	Modular form 312.4.m.a.181.56
2-312-104.77-c3-0-12	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.212$	$0$	$0.265074$	Modular form 312.4.m.a.181.7
2-312-104.77-c3-0-13	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.0619$	$0$	$0.273518$	Modular form 312.4.m.a.181.37
2-312-104.77-c3-0-14	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.315$	$0$	$0.274572$	Modular form 312.4.m.a.181.40
2-312-104.77-c3-0-15	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.160$	$0$	$0.294034$	Modular form 312.4.m.a.181.45
2-312-104.77-c3-0-16	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.272$	$0$	$0.316739$	Modular form 312.4.m.a.181.10
2-312-104.77-c3-0-17	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.0913$	$0$	$0.335908$	Modular form 312.4.m.a.181.27
2-312-104.77-c3-0-18	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.489$	$0$	$0.337172$	Modular form 312.4.m.a.181.58
2-312-104.77-c3-0-19	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.0506$	$0$	$0.411394$	Modular form 312.4.m.a.181.13
2-312-104.77-c3-0-2	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.460$	$0$	$0.113418$	Modular form 312.4.m.a.181.12
2-312-104.77-c3-0-20	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.0307$	$0$	$0.455495$	Modular form 312.4.m.a.181.51
2-312-104.77-c3-0-21	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.243$	$0$	$0.460134$	Modular form 312.4.m.a.181.33
2-312-104.77-c3-0-22	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.209$	$0$	$0.462850$	Modular form 312.4.m.a.181.3
2-312-104.77-c3-0-23	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.478$	$0$	$0.544934$	Modular form 312.4.m.a.181.18
2-312-104.77-c3-0-24	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.388$	$0$	$0.567516$	Modular form 312.4.m.a.181.68
2-312-104.77-c3-0-25	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.486$	$0$	$0.574328$	Modular form 312.4.m.a.181.74
2-312-104.77-c3-0-26	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.202$	$0$	$0.575017$	Modular form 312.4.m.a.181.44
2-312-104.77-c3-0-27	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.0506$	$0$	$0.620254$	Modular form 312.4.m.a.181.14
2-312-104.77-c3-0-28	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.326$	$0$	$0.649726$	Modular form 312.4.m.a.181.32
2-312-104.77-c3-0-29	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.284$	$0$	$0.662047$	Modular form 312.4.m.a.181.30
2-312-104.77-c3-0-3	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.480$	$0$	$0.115570$	Modular form 312.4.m.a.181.79
2-312-104.77-c3-0-30	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.0619$	$0$	$0.771452$	Modular form 312.4.m.a.181.38
2-312-104.77-c3-0-31	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.00673$	$0$	$0.780424$	Modular form 312.4.m.a.181.61
2-312-104.77-c3-0-32	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.265$	$0$	$0.838785$	Modular form 312.4.m.a.181.24
2-312-104.77-c3-0-33	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.0852$	$0$	$0.839364$	Modular form 312.4.m.a.181.21
2-312-104.77-c3-0-34	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.0975$	$0$	$0.861003$	Modular form 312.4.m.a.181.83
2-312-104.77-c3-0-35	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$-0.360$	$0$	$0.865551$	Modular form 312.4.m.a.181.76
2-312-104.77-c3-0-36	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.151$	$0$	$0.871673$	Modular form 312.4.m.a.181.26
2-312-104.77-c3-0-37	$4.29$	$18.4$	$2$	$2^{3} \cdot 3 \cdot 13$	104.77	$3.0$	$3$	✓	✓		$0.202$	$0$	$0.873581$	Modular form 312.4.m.a.181.43

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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.