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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
2-401-1.1-c1-0-0 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.340340$ Modular form 401.2.a.b.1.9
2-401-1.1-c1-0-1 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.485971$ Modular form 401.2.a.b.1.3
2-401-1.1-c1-0-10 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52329$ Modular form 401.2.a.b.1.16
2-401-1.1-c1-0-11 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.52536$ Modular form 401.2.a.a.1.5
2-401-1.1-c1-0-12 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.52765$ Modular form 401.2.a.b.1.4
2-401-1.1-c1-0-13 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53872$ Modular form 401.2.a.b.1.12
2-401-1.1-c1-0-14 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.59530$ Modular form 401.2.a.b.1.10
2-401-1.1-c1-0-15 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.60850$ Modular form 401.2.a.b.1.7
2-401-1.1-c1-0-16 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.75410$ Modular form 401.2.a.b.1.19
2-401-1.1-c1-0-17 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.03370$ Modular form 401.2.a.b.1.14
2-401-1.1-c1-0-18 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.04785$ Modular form 401.2.a.b.1.17
2-401-1.1-c1-0-19 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.05521$ Modular form 401.2.a.a.1.6
2-401-1.1-c1-0-2 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.838613$ Modular form 401.2.a.b.1.5
2-401-1.1-c1-0-20 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.11738$ Modular form 401.2.a.a.1.1
2-401-1.1-c1-0-21 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.21546$ Modular form 401.2.a.a.1.4
2-401-1.1-c1-0-22 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.22698$ Modular form 401.2.a.b.1.21
2-401-1.1-c1-0-23 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.22950$ Modular form 401.2.a.a.1.3
2-401-1.1-c1-0-24 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.27353$ Modular form 401.2.a.b.1.15
2-401-1.1-c1-0-25 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.41345$ Modular form 401.2.a.b.1.18
2-401-1.1-c1-0-26 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.43310$ Modular form 401.2.a.a.1.8
2-401-1.1-c1-0-27 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.56951$ Modular form 401.2.a.b.1.20
2-401-1.1-c1-0-28 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.58492$ Modular form 401.2.a.a.1.11
2-401-1.1-c1-0-29 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.70857$ Modular form 401.2.a.a.1.10
2-401-1.1-c1-0-3 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.854834$ Modular form 401.2.a.b.1.13
2-401-1.1-c1-0-30 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.88599$ Modular form 401.2.a.a.1.9
2-401-1.1-c1-0-31 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.93127$ Modular form 401.2.a.a.1.7
2-401-1.1-c1-0-32 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.28626$ Modular form 401.2.a.a.1.12
2-401-1.1-c1-0-4 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.915851$ Modular form 401.2.a.b.1.1
2-401-1.1-c1-0-5 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.948682$ Modular form 401.2.a.b.1.8
2-401-1.1-c1-0-6 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.952923$ Modular form 401.2.a.b.1.6
2-401-1.1-c1-0-7 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.15830$ Modular form 401.2.a.b.1.11
2-401-1.1-c1-0-8 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.35596$ Modular form 401.2.a.b.1.2
2-401-1.1-c1-0-9 $1.78$ $3.20$ $2$ $401$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.51572$ Modular form 401.2.a.a.1.2
2-401-401.10-c1-0-0 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.351$ $0$ $0.0229252$ Modular form 401.2.n.a.10.14
2-401-401.10-c1-0-1 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.426$ $0$ $0.0644677$ Modular form 401.2.n.a.10.16
2-401-401.10-c1-0-10 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.0651$ $0$ $0.965122$ Modular form 401.2.n.a.10.18
2-401-401.10-c1-0-11 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.0473$ $0$ $1.11230$ Modular form 401.2.n.a.10.20
2-401-401.10-c1-0-12 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.0410$ $0$ $1.12371$ Modular form 401.2.n.a.10.9
2-401-401.10-c1-0-13 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.322$ $0$ $1.14536$ Modular form 401.2.n.a.10.15
2-401-401.10-c1-0-14 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.123$ $0$ $1.17233$ Modular form 401.2.n.a.10.25
2-401-401.10-c1-0-15 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.196$ $0$ $1.18113$ Modular form 401.2.n.a.10.23
2-401-401.10-c1-0-16 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.0989$ $0$ $1.22237$ Modular form 401.2.n.a.10.3
2-401-401.10-c1-0-17 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.00640$ $0$ $1.30954$ Modular form 401.2.n.a.10.13
2-401-401.10-c1-0-18 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.231$ $0$ $1.31992$ Modular form 401.2.n.a.10.7
2-401-401.10-c1-0-19 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.0960$ $0$ $1.55648$ Modular form 401.2.n.a.10.1
2-401-401.10-c1-0-2 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.357$ $0$ $0.0842438$ Modular form 401.2.n.a.10.6
2-401-401.10-c1-0-20 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.0729$ $0$ $1.59885$ Modular form 401.2.n.a.10.19
2-401-401.10-c1-0-21 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.0850$ $0$ $1.62311$ Modular form 401.2.n.a.10.8
2-401-401.10-c1-0-22 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $-0.0972$ $0$ $1.75491$ Modular form 401.2.n.a.10.21
2-401-401.10-c1-0-23 $1.78$ $3.20$ $2$ $401$ 401.10 $1.0$ $1$ ✓ ✓ $0.177$ $0$ $1.81638$ Modular form 401.2.n.a.10.24
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