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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 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
2-3e4-1.1-c9-0-0 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.120269$ Modular form 81.10.a.d.1.5
2-3e4-1.1-c9-0-1 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.174381$ Modular form 81.10.a.e.1.1
2-3e4-1.1-c9-0-10 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.867338$ Modular form 81.10.a.e.1.2
2-3e4-1.1-c9-0-11 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.913182$ Modular form 81.10.a.d.1.4
2-3e4-1.1-c9-0-12 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $0.977656$ Modular form 81.10.a.a.1.2
2-3e4-1.1-c9-0-13 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.00948$ Modular form 81.10.a.e.1.3
2-3e4-1.1-c9-0-14 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.09529$ Modular form 81.10.a.c.1.1
2-3e4-1.1-c9-0-15 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.10118$ Modular form 81.10.a.d.1.7
2-3e4-1.1-c9-0-16 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.19003$ Modular form 81.10.a.e.1.7
2-3e4-1.1-c9-0-17 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.19898$ Modular form 81.10.a.c.1.3
2-3e4-1.1-c9-0-18 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.27689$ Modular form 81.10.a.b.1.1
2-3e4-1.1-c9-0-19 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.36346$ Modular form 81.10.a.c.1.5
2-3e4-1.1-c9-0-2 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.319940$ Modular form 81.10.a.d.1.2
2-3e4-1.1-c9-0-20 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.42634$ Modular form 81.10.a.e.1.9
2-3e4-1.1-c9-0-21 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.47023$ Modular form 81.10.a.b.1.2
2-3e4-1.1-c9-0-22 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.48693$ Modular form 81.10.a.e.1.10
2-3e4-1.1-c9-0-23 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.51561$ Modular form 81.10.a.a.1.3
2-3e4-1.1-c9-0-24 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.53565$ Modular form 81.10.a.c.1.4
2-3e4-1.1-c9-0-25 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.57734$ Modular form 81.10.a.a.1.1
2-3e4-1.1-c9-0-26 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.58540$ Modular form 81.10.a.c.1.2
2-3e4-1.1-c9-0-27 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $1.69729$ Modular form 81.10.a.d.1.8
2-3e4-1.1-c9-0-28 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $1.94768$ Modular form 81.10.a.c.1.6
2-3e4-1.1-c9-0-29 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $2.05139$ Modular form 81.10.a.c.1.7
2-3e4-1.1-c9-0-3 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.466250$ Modular form 81.10.a.e.1.4
2-3e4-1.1-c9-0-30 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $2.13583$ Modular form 81.10.a.a.1.4
2-3e4-1.1-c9-0-31 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $2.20445$ Modular form 81.10.a.b.1.3
2-3e4-1.1-c9-0-32 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $2.31648$ Modular form 81.10.a.b.1.4
2-3e4-1.1-c9-0-33 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0.5$ $1$ $2.46734$ Modular form 81.10.a.c.1.8
2-3e4-1.1-c9-0-4 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.479175$ Modular form 81.10.a.e.1.5
2-3e4-1.1-c9-0-5 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.582440$ Modular form 81.10.a.e.1.8
2-3e4-1.1-c9-0-6 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.616332$ Modular form 81.10.a.e.1.6
2-3e4-1.1-c9-0-7 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.759915$ Modular form 81.10.a.d.1.1
2-3e4-1.1-c9-0-8 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.851661$ Modular form 81.10.a.d.1.6
2-3e4-1.1-c9-0-9 $6.45$ $41.7$ $2$ $3^{4}$ 1.1 $9.0$ $9$ ✓ ✓ ✓ $0$ $0$ $0.856474$ Modular form 81.10.a.d.1.3
2-3e4-27.13-c9-0-0 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.187$ $0$ $0.0963144$ Modular form 81.10.e.a.10.23
2-3e4-27.13-c9-0-1 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.144$ $0$ $0.134789$ Modular form 81.10.e.a.10.10
2-3e4-27.13-c9-0-10 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.423$ $0$ $0.596764$ Modular form 81.10.e.a.10.22
2-3e4-27.13-c9-0-11 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.365$ $0$ $0.809788$ Modular form 81.10.e.a.10.18
2-3e4-27.13-c9-0-12 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.0260$ $0$ $1.02725$ Modular form 81.10.e.a.10.17
2-3e4-27.13-c9-0-13 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.0469$ $0$ $1.15799$ Modular form 81.10.e.a.10.13
2-3e4-27.13-c9-0-14 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.0674$ $0$ $1.25611$ Modular form 81.10.e.a.10.11
2-3e4-27.13-c9-0-15 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.103$ $0$ $1.29320$ Modular form 81.10.e.a.10.21
2-3e4-27.13-c9-0-16 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.338$ $0$ $1.31849$ Modular form 81.10.e.a.10.9
2-3e4-27.13-c9-0-17 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.157$ $0$ $1.32688$ Modular form 81.10.e.a.10.19
2-3e4-27.13-c9-0-18 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.177$ $0$ $1.34945$ Modular form 81.10.e.a.10.26
2-3e4-27.13-c9-0-19 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.419$ $0$ $1.35192$ Modular form 81.10.e.a.10.3
2-3e4-27.13-c9-0-2 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.0606$ $0$ $0.201786$ Modular form 81.10.e.a.10.6
2-3e4-27.13-c9-0-20 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $-0.343$ $0$ $1.39221$ Modular form 81.10.e.a.10.1
2-3e4-27.13-c9-0-21 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.135$ $0$ $1.40494$ Modular form 81.10.e.a.10.14
2-3e4-27.13-c9-0-22 $6.45$ $41.7$ $2$ $3^{4}$ 27.13 $9.0$ $9$ ✓ ✓ $0.346$ $0$ $1.61731$ Modular form 81.10.e.a.10.12
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