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 289 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-3332-3332.1019-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1019	$0.0$	✓	✓	$0.496$	$0$	$0.381944$	Modular form 3332.1.cc.a.1019.1
2-3332-3332.1019-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1019	$0.0$	✓	✓	$-0.00340$	$0$	$1.53432$	Modular form 3332.1.cc.c.1019.1
2-3332-3332.1019-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1019	$0.0$	✓	✓	$-0.00340$	$0$	$1.54004$	Modular form 3332.1.cc.c.1019.2
2-3332-3332.1019-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1019	$0.0$	✓	✓	$0.496$	$0$	$2.24987$	Modular form 3332.1.cc.b.1019.1
2-3332-3332.1087-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1087	$0.0$	✓	✓	$-0.397$	$0$	$0.544312$	Modular form 3332.1.cc.c.1087.1
2-3332-3332.1087-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1087	$0.0$	✓	✓	$-0.397$	$0$	$0.752817$	Modular form 3332.1.cc.c.1087.2
2-3332-3332.1087-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1087	$0.0$	✓	✓	$0.102$	$0$	$0.771372$	Modular form 3332.1.cc.a.1087.1
2-3332-3332.1087-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1087	$0.0$	✓	✓	$0.102$	$0$	$1.54172$	Modular form 3332.1.cc.b.1087.1
2-3332-3332.135-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.135	$0.0$	✓	✓	$-0.105$	$0$	$0.812594$	Modular form 3332.1.cc.c.135.2
2-3332-3332.135-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.135	$0.0$	✓	✓	$-0.105$	$0$	$1.09895$	Modular form 3332.1.cc.c.135.1
2-3332-3332.135-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.135	$0.0$	✓	✓	$0.394$	$0$	$1.76624$	Modular form 3332.1.cc.a.135.1
2-3332-3332.135-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.135	$0.0$	✓	✓	$0.394$	$0$	$2.41003$	Modular form 3332.1.cc.b.135.1
2-3332-3332.1359-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1359	$0.0$	✓	✓	$-0.102$	$0$	$0.0158429$	Modular form 3332.1.be.a.1359.1
2-3332-3332.1359-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1359	$0.0$	✓	✓	$0.397$	$0$	$0.711232$	Modular form 3332.1.be.c.1359.2
2-3332-3332.1359-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1359	$0.0$	✓	✓	$-0.102$	$0$	$0.906870$	Modular form 3332.1.be.b.1359.1
2-3332-3332.1359-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1359	$0.0$	✓	✓	$0.397$	$0$	$1.86710$	Modular form 3332.1.be.c.1359.1
2-3332-3332.1495-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1495	$0.0$	✓	✓	$-0.397$	$0$	$0.901598$	Modular form 3332.1.cc.c.1495.2
2-3332-3332.1495-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1495	$0.0$	✓	✓	$0.102$	$0$	$1.22566$	Modular form 3332.1.cc.a.1495.1
2-3332-3332.1495-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1495	$0.0$	✓	✓	$-0.397$	$0$	$1.73946$	Modular form 3332.1.cc.c.1495.1
2-3332-3332.1495-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1495	$0.0$	✓	✓	$0.102$	$0$	$1.80198$	Modular form 3332.1.cc.b.1495.1
2-3332-3332.1563-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1563	$0.0$	✓	✓	$-0.496$	$0$	$0.381381$	Modular form 3332.1.cc.b.1563.1
2-3332-3332.1563-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1563	$0.0$	✓	✓	$0.00340$	$0$	$1.01103$	Modular form 3332.1.cc.c.1563.1
2-3332-3332.1563-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1563	$0.0$	✓	✓	$-0.496$	$0$	$1.60605$	Modular form 3332.1.cc.a.1563.1
2-3332-3332.1563-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1563	$0.0$	✓	✓	$0.00340$	$0$	$1.68348$	Modular form 3332.1.cc.c.1563.2
2-3332-3332.1835-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1835	$0.0$	✓	✓	$0.438$	$0$	$0.107675$	Modular form 3332.1.be.c.1835.1
2-3332-3332.1835-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1835	$0.0$	✓	✓	$-0.0612$	$0$	$1.06748$	Modular form 3332.1.be.a.1835.1
2-3332-3332.1835-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1835	$0.0$	✓	✓	$-0.0612$	$0$	$1.10940$	Modular form 3332.1.be.b.1835.1
2-3332-3332.1835-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1835	$0.0$	✓	✓	$0.438$	$0$	$2.31574$	Modular form 3332.1.be.c.1835.2
2-3332-3332.1971-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1971	$0.0$	✓	✓	$-0.102$	$0$	$0.818350$	Modular form 3332.1.cc.a.1971.1
2-3332-3332.1971-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1971	$0.0$	✓	✓	$-0.102$	$0$	$1.35612$	Modular form 3332.1.cc.b.1971.1
2-3332-3332.1971-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1971	$0.0$	✓	✓	$0.397$	$0$	$1.63815$	Modular form 3332.1.cc.c.1971.1
2-3332-3332.1971-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.1971	$0.0$	✓	✓	$0.397$	$0$	$2.09650$	Modular form 3332.1.cc.c.1971.2
2-3332-3332.2311-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2311	$0.0$	✓	✓	$0.336$	$0$	$1.12726$	Modular form 3332.1.be.c.2311.1
2-3332-3332.2311-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2311	$0.0$	✓	✓	$-0.163$	$0$	$1.15505$	Modular form 3332.1.be.a.2311.1
2-3332-3332.2311-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2311	$0.0$	✓	✓	$-0.163$	$0$	$1.29223$	Modular form 3332.1.be.b.2311.1
2-3332-3332.2311-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2311	$0.0$	✓	✓	$0.336$	$0$	$1.47588$	Modular form 3332.1.be.c.2311.2
2-3332-3332.2447-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2447	$0.0$	✓	✓	$-0.329$	$0$	$0.139205$	Modular form 3332.1.cc.c.2447.2
2-3332-3332.2447-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2447	$0.0$	✓	✓	$0.170$	$0$	$0.956515$	Modular form 3332.1.cc.b.2447.1
2-3332-3332.2447-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2447	$0.0$	✓	✓	$-0.329$	$0$	$1.03774$	Modular form 3332.1.cc.c.2447.1
2-3332-3332.2447-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2447	$0.0$	✓	✓	$0.170$	$0$	$1.20428$	Modular form 3332.1.cc.a.2447.1
2-3332-3332.2515-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2515	$0.0$	✓	✓	$0.329$	$0$	$0.884543$	Modular form 3332.1.cc.c.2515.1
2-3332-3332.2515-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2515	$0.0$	✓	✓	$-0.170$	$0$	$1.08062$	Modular form 3332.1.cc.b.2515.1
2-3332-3332.2515-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2515	$0.0$	✓	✓	$0.329$	$0$	$1.45199$	Modular form 3332.1.cc.c.2515.2
2-3332-3332.2515-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2515	$0.0$	✓	✓	$-0.170$	$0$	$1.46237$	Modular form 3332.1.cc.a.2515.1
2-3332-3332.2787-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2787	$0.0$	✓	✓	$-0.336$	$0$	$0.375132$	Modular form 3332.1.be.c.2787.1
2-3332-3332.2787-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2787	$0.0$	✓	✓	$-0.336$	$0$	$0.642948$	Modular form 3332.1.be.c.2787.2
2-3332-3332.2787-c0-0-2	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2787	$0.0$	✓	✓	$0.163$	$0$	$0.748159$	Modular form 3332.1.be.a.2787.1
2-3332-3332.2787-c0-0-3	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2787	$0.0$	✓	✓	$0.163$	$0$	$1.78167$	Modular form 3332.1.be.b.2787.1
2-3332-3332.2923-c0-0-0	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2923	$0.0$	✓	✓	$-0.272$	$0$	$0.643557$	Modular form 3332.1.cc.a.2923.1
2-3332-3332.2923-c0-0-1	$1.28$	$1.66$	$2$	$2^{2} \cdot 7^{2} \cdot 17$	3332.2923	$0.0$	✓	✓	$0.227$	$0$	$0.703869$	Modular form 3332.1.cc.c.2923.1

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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.