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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-c11-0-0 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.232855$ Modular form 81.12.a.a.1.4
2-3e4-1.1-c11-0-1 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.335355$ Modular form 81.12.a.b.1.2
2-3e4-1.1-c11-0-10 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.674123$ Modular form 81.12.a.b.1.3
2-3e4-1.1-c11-0-11 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.762738$ Modular form 81.12.a.e.1.7
2-3e4-1.1-c11-0-12 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.806160$ Modular form 81.12.a.b.1.4
2-3e4-1.1-c11-0-13 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $0.855829$ Modular form 81.12.a.c.1.2
2-3e4-1.1-c11-0-14 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.868849$ Modular form 81.12.a.e.1.2
2-3e4-1.1-c11-0-15 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.974704$ Modular form 81.12.a.a.1.3
2-3e4-1.1-c11-0-16 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.999227$ Modular form 81.12.a.b.1.1
2-3e4-1.1-c11-0-17 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.02994$ Modular form 81.12.a.d.1.4
2-3e4-1.1-c11-0-18 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.03708$ Modular form 81.12.a.d.1.1
2-3e4-1.1-c11-0-19 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.07057$ Modular form 81.12.a.e.1.5
2-3e4-1.1-c11-0-2 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.395887$ Modular form 81.12.a.a.1.1
2-3e4-1.1-c11-0-20 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.10883$ Modular form 81.12.a.c.1.5
2-3e4-1.1-c11-0-21 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.11000$ Modular form 81.12.a.a.1.5
2-3e4-1.1-c11-0-22 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.12432$ Modular form 81.12.a.d.1.5
2-3e4-1.1-c11-0-23 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.13819$ Modular form 81.12.a.a.1.6
2-3e4-1.1-c11-0-24 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.19024$ Modular form 81.12.a.c.1.6
2-3e4-1.1-c11-0-25 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.27499$ Modular form 81.12.a.e.1.9
2-3e4-1.1-c11-0-26 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.28118$ Modular form 81.12.a.d.1.2
2-3e4-1.1-c11-0-27 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.29476$ Modular form 81.12.a.c.1.4
2-3e4-1.1-c11-0-28 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.40739$ Modular form 81.12.a.c.1.3
2-3e4-1.1-c11-0-29 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.41377$ Modular form 81.12.a.e.1.10
2-3e4-1.1-c11-0-3 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.405973$ Modular form 81.12.a.e.1.4
2-3e4-1.1-c11-0-30 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.43492$ Modular form 81.12.a.c.1.1
2-3e4-1.1-c11-0-31 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.51054$ Modular form 81.12.a.d.1.3
2-3e4-1.1-c11-0-32 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.54549$ Modular form 81.12.a.c.1.7
2-3e4-1.1-c11-0-33 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.55536$ Modular form 81.12.a.d.1.7
2-3e4-1.1-c11-0-34 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.56945$ Modular form 81.12.a.d.1.6
2-3e4-1.1-c11-0-35 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.62817$ Modular form 81.12.a.d.1.8
2-3e4-1.1-c11-0-36 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $1.65329$ Modular form 81.12.a.b.1.6
2-3e4-1.1-c11-0-37 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $1.88294$ Modular form 81.12.a.c.1.9
2-3e4-1.1-c11-0-38 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $2.02689$ Modular form 81.12.a.c.1.8
2-3e4-1.1-c11-0-39 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $2.05288$ Modular form 81.12.a.d.1.9
2-3e4-1.1-c11-0-4 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.420217$ Modular form 81.12.a.e.1.3
2-3e4-1.1-c11-0-40 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $2.20943$ Modular form 81.12.a.d.1.10
2-3e4-1.1-c11-0-41 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0.5$ $1$ $2.22965$ Modular form 81.12.a.c.1.10
2-3e4-1.1-c11-0-5 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.441377$ Modular form 81.12.a.e.1.6
2-3e4-1.1-c11-0-6 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.463658$ Modular form 81.12.a.e.1.8
2-3e4-1.1-c11-0-7 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.464378$ Modular form 81.12.a.e.1.1
2-3e4-1.1-c11-0-8 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.487806$ Modular form 81.12.a.a.1.2
2-3e4-1.1-c11-0-9 $7.88$ $62.2$ $2$ $3^{4}$ 1.1 $11.0$ $11$ ✓ ✓ ✓ $0$ $0$ $0.567615$ Modular form 81.12.a.b.1.5
2-3e4-27.13-c11-0-0 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $0.0566$ $0$ $0.0211311$ Modular form 81.12.e.a.10.29
2-3e4-27.13-c11-0-1 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $0.0958$ $0$ $0.0432941$ Modular form 81.12.e.a.10.5
2-3e4-27.13-c11-0-10 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $0.415$ $0$ $0.441278$ Modular form 81.12.e.a.10.2
2-3e4-27.13-c11-0-11 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $-0.149$ $0$ $0.547687$ Modular form 81.12.e.a.10.14
2-3e4-27.13-c11-0-12 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $0.0114$ $0$ $0.649021$ Modular form 81.12.e.a.10.15
2-3e4-27.13-c11-0-13 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $-0.258$ $0$ $0.721737$ Modular form 81.12.e.a.10.21
2-3e4-27.13-c11-0-14 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $-0.405$ $0$ $0.762651$ Modular form 81.12.e.a.10.32
2-3e4-27.13-c11-0-15 $7.88$ $62.2$ $2$ $3^{4}$ 27.13 $11.0$ $11$ ✓ ✓ $-0.363$ $0$ $0.774983$ Modular form 81.12.e.a.10.20
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