LMFDB - L-function search results

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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 316 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3864-3864.125-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$0.484$	$0$	$0.0834667$	Modular form 3864.1.cx.a.125.1
2-3864-3864.125-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$-0.265$	$0$	$0.140030$	Modular form 3864.1.cx.a.125.4
2-3864-3864.125-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$-0.197$	$0$	$0.890431$	Modular form 3864.1.cx.b.125.2
2-3864-3864.125-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$0.0528$	$0$	$1.28350$	Modular form 3864.1.cx.b.125.4
2-3864-3864.125-c0-0-4	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$-0.0153$	$0$	$1.36487$	Modular form 3864.1.cx.a.125.2
2-3864-3864.125-c0-0-5	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$0.302$	$0$	$1.43304$	Modular form 3864.1.cx.b.125.1
2-3864-3864.125-c0-0-6	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$0.234$	$0$	$1.56129$	Modular form 3864.1.cx.a.125.3
2-3864-3864.125-c0-0-7	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.125	$0.0$	✓	✓	$-0.447$	$0$	$2.12652$	Modular form 3864.1.cx.b.125.3
2-3864-3864.1469-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$-0.377$	$0$	$0.629704$	Modular form 3864.1.cx.a.1469.2
2-3864-3864.1469-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$-0.0135$	$0$	$0.895487$	Modular form 3864.1.cx.b.1469.1
2-3864-3864.1469-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$-0.127$	$0$	$1.09082$	Modular form 3864.1.cx.a.1469.3
2-3864-3864.1469-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$-0.263$	$0$	$1.10732$	Modular form 3864.1.cx.b.1469.4
2-3864-3864.1469-c0-0-4	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$0.122$	$0$	$1.23424$	Modular form 3864.1.cx.a.1469.1
2-3864-3864.1469-c0-0-5	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$0.236$	$0$	$1.73990$	Modular form 3864.1.cx.b.1469.3
2-3864-3864.1469-c0-0-6	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$0.486$	$0$	$1.89313$	Modular form 3864.1.cx.b.1469.2
2-3864-3864.1469-c0-0-7	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1469	$0.0$	✓	✓	$0.372$	$0$	$2.25029$	Modular form 3864.1.cx.a.1469.4
2-3864-3864.1595-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1595	$0.0$	✓	✓	$-0.460$	$0$	$0.0737059$	Modular form 3864.1.dl.b.1595.1
2-3864-3864.1595-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1595	$0.0$	✓	✓	$0.0396$	$0$	$0.473015$	Modular form 3864.1.dl.d.1595.1
2-3864-3864.1595-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1595	$0.0$	✓	✓	$-0.460$	$0$	$0.801418$	Modular form 3864.1.dl.a.1595.1
2-3864-3864.1595-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1595	$0.0$	✓	✓	$0.0396$	$0$	$0.848600$	Modular form 3864.1.dl.c.1595.1
2-3864-3864.1805-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$-0.180$	$0$	$0.448186$	Modular form 3864.1.cx.b.1805.1
2-3864-3864.1805-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$-0.135$	$0$	$0.500345$	Modular form 3864.1.cx.a.1805.1
2-3864-3864.1805-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$0.114$	$0$	$0.826222$	Modular form 3864.1.cx.a.1805.3
2-3864-3864.1805-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$-0.430$	$0$	$0.880133$	Modular form 3864.1.cx.b.1805.4
2-3864-3864.1805-c0-0-4	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$-0.385$	$0$	$1.12816$	Modular form 3864.1.cx.a.1805.4
2-3864-3864.1805-c0-0-5	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$0.0691$	$0$	$1.41309$	Modular form 3864.1.cx.b.1805.3
2-3864-3864.1805-c0-0-6	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$0.319$	$0$	$1.52983$	Modular form 3864.1.cx.b.1805.2
2-3864-3864.1805-c0-0-7	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.1805	$0.0$	✓	✓	$0.364$	$0$	$1.70950$	Modular form 3864.1.cx.a.1805.2
2-3864-3864.2099-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2099	$0.0$	✓	✓	$-0.231$	$0$	$0.564525$	Modular form 3864.1.dl.c.2099.1
2-3864-3864.2099-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2099	$0.0$	✓	✓	$0.268$	$0$	$0.923976$	Modular form 3864.1.dl.a.2099.1
2-3864-3864.2099-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2099	$0.0$	✓	✓	$-0.231$	$0$	$1.10456$	Modular form 3864.1.dl.d.2099.1
2-3864-3864.2099-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2099	$0.0$	✓	✓	$0.268$	$0$	$1.55968$	Modular form 3864.1.dl.b.2099.1
2-3864-3864.2267-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2267	$0.0$	✓	✓	$-0.388$	$0$	$0.446532$	Modular form 3864.1.dl.d.2267.1
2-3864-3864.2267-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2267	$0.0$	✓	✓	$0.111$	$0$	$0.768329$	Modular form 3864.1.dl.b.2267.1
2-3864-3864.2267-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2267	$0.0$	✓	✓	$-0.388$	$0$	$0.993726$	Modular form 3864.1.dl.c.2267.1
2-3864-3864.2267-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2267	$0.0$	✓	✓	$0.111$	$0$	$1.17121$	Modular form 3864.1.dl.a.2267.1
2-3864-3864.2603-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2603	$0.0$	✓	✓	$-0.268$	$0$	$0.717203$	Modular form 3864.1.dl.a.2603.1
2-3864-3864.2603-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2603	$0.0$	✓	✓	$0.231$	$0$	$1.01251$	Modular form 3864.1.dl.c.2603.1
2-3864-3864.2603-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2603	$0.0$	✓	✓	$-0.268$	$0$	$1.06302$	Modular form 3864.1.dl.b.2603.1
2-3864-3864.2603-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2603	$0.0$	✓	✓	$0.231$	$0$	$1.21666$	Modular form 3864.1.dl.d.2603.1
2-3864-3864.275-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$-0.260$	$0$	$0.397284$	Artin representation 2.3864.6t5.a.a Modular form 3864.1.bx.a.275.1
2-3864-3864.275-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$0.489$	$0$	$0.668671$	Modular form 3864.1.bx.e.275.1
2-3864-3864.275-c0-0-2	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$0.239$	$0$	$0.962707$	Artin representation 2.3864.12t18.c.a Modular form 3864.1.bx.d.275.1
2-3864-3864.275-c0-0-3	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$-0.0100$	$0$	$1.00328$	Modular form 3864.1.bx.f.275.2
2-3864-3864.275-c0-0-4	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$0.239$	$0$	$1.28954$	Artin representation 2.3864.12t18.d.b Modular form 3864.1.bx.b.275.1
2-3864-3864.275-c0-0-5	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$-0.0100$	$0$	$1.52278$	Modular form 3864.1.bx.e.275.2
2-3864-3864.275-c0-0-6	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$0.489$	$0$	$1.89055$	Modular form 3864.1.bx.f.275.1
2-3864-3864.275-c0-0-7	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.275	$0.0$	✓	✓	$-0.260$	$0$	$2.22772$	Modular form 3864.1.bx.c.275.1
2-3864-3864.2813-c0-0-0	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2813	$0.0$	✓	✓	$-0.302$	$0$	$0.152615$	Modular form 3864.1.cx.b.2813.1
2-3864-3864.2813-c0-0-1	$1.38$	$1.92$	$2$	$2^{3} \cdot 3 \cdot 7 \cdot 23$	3864.2813	$0.0$	✓	✓	$0.447$	$0$	$0.713319$	Modular form 3864.1.cx.b.2813.3

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Classical	Maass
Hilbert	Bianchi

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.