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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 (40 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-693-231.167-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.167	$0.0$	✓	✓	$-0.219$	$0$	$1.16817$	Modular form 693.1.bp.a.629.2
2-693-231.167-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.167	$0.0$	✓	✓	$-0.273$	$0$	$1.35212$	Modular form 693.1.bp.a.629.1
2-693-231.167-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.167	$0.0$	✓	✓	$-0.0235$	$0$	$1.53608$	Modular form 693.1.bp.a.629.3
2-693-231.167-c0-0-3	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.167	$0.0$	✓	✓	$-0.469$	$0$	$2.82611$	Modular form 693.1.bp.a.629.4
2-693-231.230-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.230	$0.0$	✓	✓	$-0.222$	$0$	$0.711409$	Modular form 693.1.h.a.692.2
2-693-231.230-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.230	$0.0$	✓	✓	$0.222$	$0$	$1.69081$	Modular form 693.1.h.a.692.1
2-693-231.230-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.230	$0.0$	✓	✓	$-0.0270$	$0$	$1.91950$	Modular form 693.1.h.a.692.4
2-693-231.230-c0-0-3	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.230	$0.0$	✓	✓	$0.0270$	$0$	$2.20328$	Modular form 693.1.h.a.692.3
2-693-231.41-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.41	$0.0$	✓	✓	$-0.184$	$0$	$1.23470$	Modular form 693.1.bp.a.503.2
2-693-231.41-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.41	$0.0$	✓	✓	$0.0659$	$0$	$1.57709$	Modular form 693.1.bp.a.503.1
2-693-231.41-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.41	$0.0$	✓	✓	$0.0118$	$0$	$1.59401$	Modular form 693.1.bp.a.503.3
2-693-231.41-c0-0-3	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.41	$0.0$	✓	✓	$0.261$	$0$	$2.74640$	Modular form 693.1.bp.a.503.4
2-693-231.62-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.62	$0.0$	✓	✓	$-0.0659$	$0$	$0.635455$	Modular form 693.1.bp.a.62.1
2-693-231.62-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.62	$0.0$	✓	✓	$0.184$	$0$	$1.56068$	Modular form 693.1.bp.a.62.2
2-693-231.62-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.62	$0.0$	✓	✓	$-0.261$	$0$	$1.71686$	Modular form 693.1.bp.a.62.4
2-693-231.62-c0-0-3	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.62	$0.0$	✓	✓	$-0.0118$	$0$	$2.07150$	Modular form 693.1.bp.a.62.3
2-693-231.83-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.83	$0.0$	✓	✓	$0.469$	$0$	$1.04958$	Modular form 693.1.bp.a.314.4
2-693-231.83-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.83	$0.0$	✓	✓	$0.273$	$0$	$1.26000$	Modular form 693.1.bp.a.314.1
2-693-231.83-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.83	$0.0$	✓	✓	$0.0235$	$0$	$1.89201$	Modular form 693.1.bp.a.314.3
2-693-231.83-c0-0-3	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	231.83	$0.0$	✓	✓	$0.219$	$0$	$2.27602$	Modular form 693.1.bp.a.314.2
2-693-693.142-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.142	$0.0$	✓	✓	$-0.398$	$0$	$0.558643$	Artin representation 2.693.16t60.a.d Modular form 693.1.bl.a.142.1
2-693-693.142-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.142	$0.0$	✓	✓	$0.101$	$0$	$1.60960$	Artin representation 2.693.16t60.a.a Modular form 693.1.bl.a.142.2
2-693-693.340-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.340	$0.0$	✓	✓	$-0.378$	$0$	$1.29490$	Modular form 693.1.o.a.340.2
2-693-693.340-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.340	$0.0$	✓	✓	$0.121$	$0$	$1.97573$	Modular form 693.1.o.a.340.1
2-693-693.373-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.373	$0.0$	✓	✓	$-0.121$	$0$	$1.74362$	Modular form 693.1.o.a.373.2
2-693-693.373-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.373	$0.0$	✓	✓	$0.378$	$0$	$2.65783$	Modular form 693.1.o.a.373.1
2-693-693.571-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.571	$0.0$	✓	✓	$-0.101$	$0$	$1.40107$	Artin representation 2.693.16t60.a.b Modular form 693.1.bl.a.571.2
2-693-693.571-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	693.571	$0.0$	✓	✓	$0.398$	$0$	$1.72623$	Artin representation 2.693.16t60.a.c Modular form 693.1.bl.a.571.1
2-693-77.20-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.20	$0.0$	✓	✓	$-0.307$	$0$	$1.27206$	Modular form 693.1.br.b.559.1
2-693-77.20-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.20	$0.0$	✓	✓	$0.192$	$0$	$1.85375$	Modular form 693.1.br.b.559.2
2-693-77.20-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.20	$0.0$	✓	✓	$0.442$	$0$	$2.54584$	Modular form 693.1.br.a.559.1
2-693-77.27-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.27	$0.0$	✓	✓	$-0.442$	$0$	$1.06324$	Modular form 693.1.br.a.181.1
2-693-77.27-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.27	$0.0$	✓	✓	$-0.192$	$0$	$1.74574$	Modular form 693.1.br.b.181.2
2-693-77.27-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.27	$0.0$	✓	✓	$0.307$	$0$	$1.93880$	Modular form 693.1.br.b.181.1
2-693-77.48-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.48	$0.0$	✓	✓	$0.246$	$0$	$1.34739$	Modular form 693.1.br.b.433.1
2-693-77.48-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.48	$0.0$	✓	✓	$-0.00378$	$0$	$1.78605$	Modular form 693.1.br.a.433.1
2-693-77.48-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.48	$0.0$	✓	✓	$-0.253$	$0$	$1.94222$	Modular form 693.1.br.b.433.2
2-693-77.69-c0-0-0	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.69	$0.0$	✓	✓	$-0.246$	$0$	$1.00183$	Modular form 693.1.br.b.685.1
2-693-77.69-c0-0-1	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.69	$0.0$	✓	✓	$0.00378$	$0$	$1.57042$	Modular form 693.1.br.a.685.1
2-693-77.69-c0-0-2	$0.588$	$0.345$	$2$	$3^{2} \cdot 7 \cdot 11$	77.69	$0.0$	✓	✓	$0.253$	$0$	$2.70559$	Modular form 693.1.br.b.685.2

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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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.