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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 392 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\mathbb{Q}$	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1587-3.2-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	3.2	$0.0$	✓	✓			$-0.333$	$0$	$0.836266$	Modular form 1587.1.b.c.530.2
2-1587-3.2-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	3.2	$0.0$	✓	✓		✓	$0$	$0$	$1.10735$	Artin representation 2.1587.8t6.b.a Modular form 1587.1.b.b.530.1
2-1587-3.2-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	3.2	$0.0$	✓	✓			$0.333$	$0$	$1.26985$	Modular form 1587.1.b.c.530.1
2-1587-3.2-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	3.2	$0.0$	✓	✓		✓	$0$	$0$	$1.39342$	Artin representation 2.1587.8t6.b.b Modular form 1587.1.b.b.530.2
2-1587-3.2-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	3.2	$0.0$	✓	✓	✓	✓	$0$	$0$	$1.73903$	Artin representation 2.1587.4t3.c Artin representation 2.1587.4t3.c.a Modular form 1587.1.b.a Modular form 1587.1.b.a.530.1
2-1587-69.2-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.2	$0.0$	✓	✓			$-0.426$	$0$	$0.740449$	Modular form 1587.1.h.c.1313.1
2-1587-69.2-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.2	$0.0$	✓	✓			$-0.368$	$0$	$0.757268$	Modular form 1587.1.h.b.1313.1
2-1587-69.2-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.2	$0.0$	✓	✓			$-0.0350$	$0$	$1.07810$	Modular form 1587.1.h.a.1313.1
2-1587-69.2-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.2	$0.0$	✓	✓			$-0.234$	$0$	$1.18268$	Modular form 1587.1.h.c.1313.2
2-1587-69.2-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.2	$0.0$	✓	✓			$0.298$	$0$	$2.04835$	Modular form 1587.1.h.b.1313.2
2-1587-69.26-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.26	$0.0$	✓	✓			$-0.282$	$0$	$0.823952$	Modular form 1587.1.h.b.647.1
2-1587-69.26-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.26	$0.0$	✓	✓			$-0.0737$	$0$	$1.15612$	Modular form 1587.1.h.c.647.2
2-1587-69.26-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.26	$0.0$	✓	✓			$0.281$	$0$	$1.36850$	Modular form 1587.1.h.c.647.1
2-1587-69.26-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.26	$0.0$	✓	✓			$0.0508$	$0$	$1.60831$	Modular form 1587.1.h.b.647.2
2-1587-69.26-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.26	$0.0$	✓	✓			$0.384$	$0$	$1.94090$	Modular form 1587.1.h.a.647.1
2-1587-69.29-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.29	$0.0$	✓	✓			$0.0248$	$0$	$0.850700$	Modular form 1587.1.h.a.995.1
2-1587-69.29-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.29	$0.0$	✓	✓			$-0.0984$	$0$	$1.09213$	Modular form 1587.1.h.c.995.1
2-1587-69.29-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.29	$0.0$	✓	✓			$0.358$	$0$	$1.55680$	Modular form 1587.1.h.b.995.1
2-1587-69.29-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.29	$0.0$	✓	✓			$-0.308$	$0$	$1.57472$	Modular form 1587.1.h.b.995.2
2-1587-69.29-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.29	$0.0$	✓	✓			$0.162$	$0$	$1.85440$	Modular form 1587.1.h.c.995.2
2-1587-69.32-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.32	$0.0$	✓	✓			$-0.0351$	$0$	$0.556217$	Modular form 1587.1.h.b.170.1
2-1587-69.32-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.32	$0.0$	✓	✓			$-0.149$	$0$	$1.26249$	Modular form 1587.1.h.c.170.1
2-1587-69.32-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.32	$0.0$	✓	✓			$-0.368$	$0$	$1.32593$	Modular form 1587.1.h.b.170.2
2-1587-69.32-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.32	$0.0$	✓	✓			$0.298$	$0$	$1.82679$	Modular form 1587.1.h.a.170.1
2-1587-69.32-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.32	$0.0$	✓	✓			$0.00233$	$0$	$1.82939$	Modular form 1587.1.h.c.170.2
2-1587-69.35-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.35	$0.0$	✓	✓			$0.368$	$0$	$0.965318$	Modular form 1587.1.h.b.863.1
2-1587-69.35-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.35	$0.0$	✓	✓			$-0.298$	$0$	$1.50699$	Modular form 1587.1.h.b.863.2
2-1587-69.35-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.35	$0.0$	✓	✓			$0.0350$	$0$	$1.51309$	Modular form 1587.1.h.a.863.1
2-1587-69.35-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.35	$0.0$	✓	✓			$0.234$	$0$	$1.78002$	Modular form 1587.1.h.c.863.2
2-1587-69.35-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.35	$0.0$	✓	✓			$0.426$	$0$	$2.55267$	Modular form 1587.1.h.c.863.1
2-1587-69.41-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.41	$0.0$	✓	✓			$-0.298$	$0$	$0.821006$	Modular form 1587.1.h.a.1559.1
2-1587-69.41-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.41	$0.0$	✓	✓			$0.0351$	$0$	$1.40236$	Modular form 1587.1.h.b.1559.1
2-1587-69.41-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.41	$0.0$	✓	✓			$-0.00233$	$0$	$1.52691$	Modular form 1587.1.h.c.1559.2
2-1587-69.41-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.41	$0.0$	✓	✓			$0.149$	$0$	$1.90470$	Modular form 1587.1.h.c.1559.1
2-1587-69.41-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.41	$0.0$	✓	✓			$0.368$	$0$	$1.93985$	Modular form 1587.1.h.b.1559.2
2-1587-69.50-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.50	$0.0$	✓	✓			$-0.358$	$0$	$0.796193$	Modular form 1587.1.h.b.1016.1
2-1587-69.50-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.50	$0.0$	✓	✓			$-0.162$	$0$	$1.04649$	Modular form 1587.1.h.c.1016.2
2-1587-69.50-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.50	$0.0$	✓	✓			$-0.0248$	$0$	$1.05664$	Modular form 1587.1.h.a.1016.1
2-1587-69.50-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.50	$0.0$	✓	✓			$0.0984$	$0$	$1.64581$	Modular form 1587.1.h.c.1016.1
2-1587-69.50-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.50	$0.0$	✓	✓			$0.308$	$0$	$2.53922$	Modular form 1587.1.h.b.1016.2
2-1587-69.59-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.59	$0.0$	✓	✓			$-0.162$	$0$	$0.867419$	Modular form 1587.1.h.c.266.2
2-1587-69.59-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.59	$0.0$	✓	✓			$-0.208$	$0$	$1.26017$	Modular form 1587.1.h.a.266.1
2-1587-69.59-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.59	$0.0$	✓	✓			$0.124$	$0$	$1.32819$	Modular form 1587.1.h.b.266.1
2-1587-69.59-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.59	$0.0$	✓	✓			$0.324$	$0$	$1.47646$	Modular form 1587.1.h.c.266.1
2-1587-69.59-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.59	$0.0$	✓	✓			$0.458$	$0$	$2.66166$	Modular form 1587.1.h.b.266.2
2-1587-69.62-c0-0-0	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.62	$0.0$	✓	✓			$-0.124$	$0$	$0.220360$	Modular form 1587.1.h.b.1235.1
2-1587-69.62-c0-0-1	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.62	$0.0$	✓	✓			$-0.324$	$0$	$0.293606$	Modular form 1587.1.h.c.1235.1
2-1587-69.62-c0-0-2	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.62	$0.0$	✓	✓			$-0.458$	$0$	$1.16845$	Modular form 1587.1.h.b.1235.2
2-1587-69.62-c0-0-3	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.62	$0.0$	✓	✓			$0.162$	$0$	$1.54304$	Modular form 1587.1.h.c.1235.2
2-1587-69.62-c0-0-4	$0.889$	$0.792$	$2$	$3 \cdot 23^{2}$	69.62	$0.0$	✓	✓			$0.208$	$0$	$1.86884$	Modular form 1587.1.h.a.1235.1

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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.