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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
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Results (1-50 of at least 1000)

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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-11-1.1-c1-0-0 $0.296$ $0.0878$ $2$ $11$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $6.36261$ Elliptic curve 11.a Modular form 11.2.a.a Modular form 11.2.a.a.1.1
2-13-13.10-c1-0-0 $0.322$ $0.103$ $2$ $13$ 13.10 $$ $1.0$ $1$ ✓ ✓ $-0.0426$ $0$ $5.06823$ Modular form 13.2.e.a.10.1
2-13-13.4-c1-0-0 $0.322$ $0.103$ $2$ $13$ 13.4 $$ $1.0$ $1$ ✓ ✓ $0.0426$ $0$ $6.57037$ Modular form 13.2.e.a.4.1
4-13e2-1.1-c1e2-0-0 $0.322$ $0.0107$ $4$ $13^{2}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $5.06823$ Genus 2 curve 169.a Modular form 13.2.e.a
2-14-1.1-c1-0-0 $0.334$ $0.111$ $2$ $2 \cdot 7$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $5.57928$ Elliptic curve 14.a Modular form 14.2.a.a Modular form 14.2.a.a.1.1
4-14e2-1.1-c1e2-0-0 $0.334$ $0.0124$ $4$ $2^{2} \cdot 7^{2}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $5.57928$ Genus 2 curve 196.a
2-15-1.1-c1-0-0 $0.346$ $0.119$ $2$ $3 \cdot 5$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $5.23920$ Elliptic curve 15.a Modular form 15.2.a.a Modular form 15.2.a.a.1.1
4-249-1.1-c1e2-0-0 $0.354$ $0.0158$ $4$ $3 \cdot 83$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.45419$ Genus 2 curve 249.a
2-2e4-16.13-c1-0-0 $0.357$ $0.127$ $2$ $2^{4}$ 16.13 $$ $1.0$ $1$ ✓ ✓ $-0.0625$ $0$ $4.38815$ Modular form 16.2.e.a.13.1
2-2e4-16.5-c1-0-0 $0.357$ $0.127$ $2$ $2^{4}$ 16.5 $$ $1.0$ $1$ ✓ ✓ $0.0625$ $0$ $5.87627$ Modular form 16.2.e.a.5.1
4-2e8-1.1-c1e2-0-0 $0.357$ $0.0163$ $4$ $2^{8}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.38815$ Genus 2 curve 256.a Modular form 16.2.e.a
4-277-1.1-c1e2-0-0 $0.364$ $0.0176$ $4$ $277$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.30532$ Genus 2 curve 277.a
2-17-1.1-c1-0-0 $0.368$ $0.135$ $2$ $17$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.74199$ Elliptic curve 17.a Modular form 17.2.a.a Modular form 17.2.a.a.1.1
2-17-17.15-c1-0-0 $0.368$ $0.135$ $2$ $17$ 17.15 $$ $1.0$ $1$ ✓ ✓ $0.132$ $0$ $6.14743$ Modular form 17.2.d.a.15.1
2-17-17.2-c1-0-0 $0.368$ $0.135$ $2$ $17$ 17.2 $$ $1.0$ $1$ ✓ ✓ $0.0120$ $0$ $5.27609$ Modular form 17.2.d.a.2.1
2-17-17.8-c1-0-0 $0.368$ $0.135$ $2$ $17$ 17.8 $$ $1.0$ $1$ ✓ ✓ $-0.132$ $0$ $3.48616$ Modular form 17.2.d.a.8.1
2-17-17.9-c1-0-0 $0.368$ $0.135$ $2$ $17$ 17.9 $$ $1.0$ $1$ ✓ ✓ $-0.0120$ $0$ $5.15470$ Modular form 17.2.d.a.9.1
8-17e4-1.1-c1e4-0-0 $0.368$ $0.000339$ $8$ $17^{4}$ 1.1 $$ $1.0, 1.0, 1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.48616$ Modular form 17.2.d.a
4-294-1.1-c1e2-0-0 $0.370$ $0.0187$ $4$ $2 \cdot 3 \cdot 7^{2}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.13559$ Genus 2 curve 294.a
4-295-1.1-c1e2-0-0 $0.370$ $0.0188$ $4$ $5 \cdot 59$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.12033$ Genus 2 curve 295.a
2-18-9.4-c1-0-0 $0.379$ $0.143$ $2$ $2 \cdot 3^{2}$ 9.4 $$ $1.0$ $1$ ✓ ✓ $0.0555$ $0$ $5.52147$ Modular form 18.2.c.a.13.1
2-18-9.7-c1-0-0 $0.379$ $0.143$ $2$ $2 \cdot 3^{2}$ 9.7 $$ $1.0$ $1$ ✓ ✓ $-0.0555$ $0$ $4.36179$ Modular form 18.2.c.a.7.1
4-18e2-1.1-c1e2-0-0 $0.379$ $0.0206$ $4$ $2^{2} \cdot 3^{4}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.36179$ Genus 2 curve 324.a Modular form 18.2.c.a
4-336-1.1-c1e2-0-0 $0.382$ $0.0214$ $4$ $2^{4} \cdot 3 \cdot 7$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.25303$ Genus 2 curve 336.a
4-349-1.1-c1e2-0-0 $0.386$ $0.0222$ $4$ $349$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.69794$ Genus 2 curve 349.a
4-353-1.1-c1e2-0-0 $0.387$ $0.0225$ $4$ $353$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.23852$ Genus 2 curve 353.a
4-360-1.1-c1e2-0-0 $0.389$ $0.0229$ $4$ $2^{3} \cdot 3^{2} \cdot 5$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.25303$ Genus 2 curve 360.a
2-19-1.1-c1-0-0 $0.389$ $0.151$ $2$ $19$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $5.03912$ Elliptic curve 19.a Modular form 19.2.a.a Modular form 19.2.a.a.1.1
2-19-19.16-c1-0-0 $0.389$ $0.151$ $2$ $19$ 19.16 $$ $1.0$ $1$ ✓ ✓ $0.166$ $0$ $5.78031$ Modular form 19.2.e.a.16.1
2-19-19.17-c1-0-0 $0.389$ $0.151$ $2$ $19$ 19.17 $$ $1.0$ $1$ ✓ ✓ $-0.0796$ $0$ $4.23429$ Modular form 19.2.e.a.17.1
2-19-19.4-c1-0-0 $0.389$ $0.151$ $2$ $19$ 19.4 $$ $1.0$ $1$ ✓ ✓ $0.0191$ $0$ $4.62462$ Modular form 19.2.e.a.4.1
2-19-19.5-c1-0-0 $0.389$ $0.151$ $2$ $19$ 19.5 $$ $1.0$ $1$ ✓ ✓ $-0.0191$ $0$ $4.34529$ Modular form 19.2.e.a.5.1
2-19-19.6-c1-0-0 $0.389$ $0.151$ $2$ $19$ 19.6 $$ $1.0$ $1$ ✓ ✓ $-0.166$ $0$ $2.95600$ Modular form 19.2.e.a.6.1
2-19-19.9-c1-0-0 $0.389$ $0.151$ $2$ $19$ 19.9 $$ $1.0$ $1$ ✓ ✓ $0.0796$ $0$ $5.79418$ Modular form 19.2.e.a.9.1
12-19e6-1.1-c1e6-0-0 $0.389$ $1.21\times 10^{-5}$ $12$ $19^{6}$ 1.1 $$ $[1.0]^{6}$ $1$ ✓ ✓ ✓ $0$ $0$ $2.95600$ Modular form 19.2.e.a
4-363-1.1-c1e2-0-0 $0.390$ $0.0231$ $4$ $3 \cdot 11^{2}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.20407$ Genus 2 curve 363.a
4-388-1.1-c1e2-0-0 $0.396$ $0.0247$ $4$ $2^{2} \cdot 97$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.02372$ Genus 2 curve 388.a
4-389-1.1-c1e2-0-0 $0.396$ $0.0248$ $4$ $389$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.96910$ Genus 2 curve 389.a
4-394-1.1-c1e2-0-0 $0.398$ $0.0251$ $4$ $2 \cdot 197$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.06198$ Genus 2 curve 394.a
2-20-1.1-c1-0-0 $0.399$ $0.159$ $2$ $2^{2} \cdot 5$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.78130$ Elliptic curve 20.a Modular form 20.2.a.a Modular form 20.2.a.a.1.1
2-20-20.3-c1-0-0 $0.399$ $0.159$ $2$ $2^{2} \cdot 5$ 20.3 $$ $1.0$ $1$ ✓ ✓ $-0.0881$ $0$ $3.63351$ Modular form 20.2.e.a.3.1
2-20-20.7-c1-0-0 $0.399$ $0.159$ $2$ $2^{2} \cdot 5$ 20.7 $$ $1.0$ $1$ ✓ ✓ $0.0881$ $0$ $5.09388$ Modular form 20.2.e.a.7.1
4-20e2-1.1-c1e2-0-0 $0.399$ $0.0255$ $4$ $2^{4} \cdot 5^{2}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $3.63351$ Elliptic curve 2.0.4.1-25.1-CMa Elliptic curve 2.0.4.1-25.3-CMa Modular form 20.2.e.a
4-20e2-1.1-c1e2-0-1 $0.399$ $0.0255$ $4$ $2^{4} \cdot 5^{2}$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $4.78130$ Genus 2 curve 400.a
4-427-1.1-c1e2-0-0 $0.406$ $0.0272$ $4$ $7 \cdot 61$ 1.1 $$ $1.0, 1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.45243$ Genus 2 curve 427.a
2-21-1.1-c1-0-0 $0.409$ $0.167$ $2$ $3 \cdot 7$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $4.13559$ Elliptic curve 21.a Modular form 21.2.a.a Modular form 21.2.a.a.1.1
2-21-21.17-c1-0-0 $0.409$ $0.167$ $2$ $3 \cdot 7$ 21.17 $$ $1.0$ $1$ ✓ ✓ $0.0100$ $0$ $4.87678$ Modular form 21.2.g.a.17.1
2-21-21.5-c1-0-0 $0.409$ $0.167$ $2$ $3 \cdot 7$ 21.5 $$ $1.0$ $1$ ✓ ✓ $-0.0100$ $0$ $4.46412$ Modular form 21.2.g.a.5.1
2-21-7.2-c1-0-0 $0.409$ $0.167$ $2$ $3 \cdot 7$ 7.2 $$ $1.0$ $1$ ✓ ✓ $-0.146$ $0$ $3.25829$ Modular form 21.2.e.a.16.1
2-21-7.4-c1-0-0 $0.409$ $0.167$ $2$ $3 \cdot 7$ 7.4 $$ $1.0$ $1$ ✓ ✓ $0.146$ $0$ $5.69031$ Modular form 21.2.e.a.4.1
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