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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 5388 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	$w$	prim	arith	self-dual	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-476-476.135-c0-0-0	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.135	$0.0$	0	✓	✓		$-0.260$	$0$	$1.54988$	Artin representation 2.476.6t5.a.b Modular form 476.1.o.b.135.1
2-476-476.135-c0-0-1	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.135	$0.0$	0	✓	✓		$-0.0100$	$0$	$1.85648$	Modular form 476.1.o.c.135.2
2-476-476.135-c0-0-2	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.135	$0.0$	0	✓	✓		$0.239$	$0$	$2.20929$	Modular form 476.1.o.a.135.1
2-476-476.135-c0-0-3	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.135	$0.0$	0	✓	✓		$0.489$	$0$	$3.39453$	Modular form 476.1.o.c.135.1
2-476-476.67-c0-0-0	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.67	$0.0$	0	✓	✓		$-0.239$	$0$	$0.583590$	Modular form 476.1.o.a.67.1
2-476-476.67-c0-0-1	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.67	$0.0$	0	✓	✓		$-0.489$	$0$	$1.08987$	Modular form 476.1.o.c.67.1
2-476-476.67-c0-0-2	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.67	$0.0$	0	✓	✓		$0.260$	$0$	$2.02529$	Artin representation 2.476.6t5.a.a Modular form 476.1.o.b.67.1
2-476-476.67-c0-0-3	$0.487$	$0.237$	$2$	$2^{2} \cdot 7 \cdot 17$	476.67	$0.0$	0	✓	✓		$0.0100$	$0$	$2.54572$	Modular form 476.1.o.c.67.2
2-476-1.1-c1-0-0	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.867345$	Modular form 476.2.a.c.1.1
2-476-1.1-c1-0-1	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0$	$0$	$0.986031$	Modular form 476.2.a.d.1.1
2-476-1.1-c1-0-2	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.61734$	Modular form 476.2.a.c.1.2
2-476-1.1-c1-0-3	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0$	$0$	$1.78871$	Modular form 476.2.a.d.1.2
2-476-1.1-c1-0-4	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$1.80826$	Modular form 476.2.a.a.1.1
2-476-1.1-c1-0-5	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.10526$	Modular form 476.2.a.b.1.1
2-476-1.1-c1-0-6	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.32822$	Modular form 476.2.a.a.1.2
2-476-1.1-c1-0-7	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	1.1	$1.0$	$1$	✓	✓	✓	$0.5$	$1$	$2.54553$	Modular form 476.2.a.b.1.2
2-476-119.10-c1-0-0	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.118$	$0$	$0.434234$	Modular form 476.2.bl.a.129.1
2-476-119.10-c1-0-1	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.439$	$0$	$0.544020$	Modular form 476.2.bl.a.129.10
2-476-119.10-c1-0-10	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$0.370$	$0$	$2.19093$	Modular form 476.2.bl.a.129.6
2-476-119.10-c1-0-11	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$0.438$	$0$	$2.28294$	Modular form 476.2.bl.a.129.3
2-476-119.10-c1-0-2	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.128$	$0$	$0.932144$	Modular form 476.2.bl.a.129.7
2-476-119.10-c1-0-3	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.376$	$0$	$1.01803$	Modular form 476.2.bl.a.129.12
2-476-119.10-c1-0-4	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.215$	$0$	$1.25129$	Modular form 476.2.bl.a.129.11
2-476-119.10-c1-0-5	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$0.155$	$0$	$1.46364$	Modular form 476.2.bl.a.129.4
2-476-119.10-c1-0-6	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.0627$	$0$	$1.60188$	Modular form 476.2.bl.a.129.9
2-476-119.10-c1-0-7	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$0.0767$	$0$	$1.85580$	Modular form 476.2.bl.a.129.8
2-476-119.10-c1-0-8	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$0.285$	$0$	$2.10213$	Modular form 476.2.bl.a.129.2
2-476-119.10-c1-0-9	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.10	$1.0$	$1$	✓	✓		$-0.495$	$0$	$2.14312$	Modular form 476.2.bl.a.129.5
2-476-119.100-c1-0-0	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$0.490$	$0$	$0.0166200$	Modular form 476.2.bh.a.457.5
2-476-119.100-c1-0-1	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$0.481$	$0$	$0.364888$	Modular form 476.2.bh.a.457.4
2-476-119.100-c1-0-10	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$0.255$	$0$	$2.28215$	Modular form 476.2.bh.a.457.12
2-476-119.100-c1-0-11	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$0.338$	$0$	$2.63403$	Modular form 476.2.bh.a.457.11
2-476-119.100-c1-0-2	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$-0.447$	$0$	$0.555387$	Modular form 476.2.bh.a.457.2
2-476-119.100-c1-0-3	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$-0.149$	$0$	$0.904671$	Modular form 476.2.bh.a.457.10
2-476-119.100-c1-0-4	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$-0.146$	$0$	$1.01101$	Modular form 476.2.bh.a.457.7
2-476-119.100-c1-0-5	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$-0.104$	$0$	$1.02769$	Modular form 476.2.bh.a.457.3
2-476-119.100-c1-0-6	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$-0.0762$	$0$	$1.14265$	Modular form 476.2.bh.a.457.8
2-476-119.100-c1-0-7	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$-0.0349$	$0$	$1.31240$	Modular form 476.2.bh.a.457.1
2-476-119.100-c1-0-8	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$0.123$	$0$	$1.61238$	Modular form 476.2.bh.a.457.6
2-476-119.100-c1-0-9	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.100	$1.0$	$1$	✓	✓		$0.214$	$0$	$2.08003$	Modular form 476.2.bh.a.457.9
2-476-119.108-c1-0-0	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.445$	$0$	$0.188930$	Modular form 476.2.bl.a.465.2
2-476-119.108-c1-0-1	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.103$	$0$	$0.649134$	Modular form 476.2.bl.a.465.3
2-476-119.108-c1-0-10	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$0.235$	$0$	$2.24679$	Modular form 476.2.bl.a.465.8
2-476-119.108-c1-0-11	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$0.372$	$0$	$2.38576$	Modular form 476.2.bl.a.465.7
2-476-119.108-c1-0-2	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.130$	$0$	$0.651916$	Modular form 476.2.bl.a.465.4
2-476-119.108-c1-0-3	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.252$	$0$	$0.929285$	Modular form 476.2.bl.a.465.9
2-476-119.108-c1-0-4	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.239$	$0$	$1.10255$	Modular form 476.2.bl.a.465.10
2-476-119.108-c1-0-5	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.00928$	$0$	$1.34323$	Modular form 476.2.bl.a.465.6
2-476-119.108-c1-0-6	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$0.233$	$0$	$1.40763$	Modular form 476.2.bl.a.465.1
2-476-119.108-c1-0-7	$1.94$	$3.80$	$2$	$2^{2} \cdot 7 \cdot 17$	119.108	$1.0$	$1$	✓	✓		$-0.0676$	$0$	$1.60887$	Modular form 476.2.bl.a.465.12

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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.