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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
2-253-11.10-c2-0-0 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.165$ $0$ $0.0881367$ Modular form 253.3.c.a.208.4
2-253-11.10-c2-0-1 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.190$ $0$ $0.117959$ Modular form 253.3.c.a.208.9
2-253-11.10-c2-0-10 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.100$ $0$ $0.662975$ Modular form 253.3.c.a.208.14
2-253-11.10-c2-0-11 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.400$ $0$ $0.709366$ Modular form 253.3.c.a.208.33
2-253-11.10-c2-0-12 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.101$ $0$ $0.710637$ Modular form 253.3.c.a.208.15
2-253-11.10-c2-0-13 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.101$ $0$ $0.830880$ Modular form 253.3.c.a.208.30
2-253-11.10-c2-0-14 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.0763$ $0$ $0.831524$ Modular form 253.3.c.a.208.42
2-253-11.10-c2-0-15 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.476$ $0$ $0.840097$ Modular form 253.3.c.a.208.38
2-253-11.10-c2-0-16 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.373$ $0$ $1.08764$ Modular form 253.3.c.a.208.35
2-253-11.10-c2-0-17 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.145$ $0$ $1.15786$ Modular form 253.3.c.a.208.24
2-253-11.10-c2-0-18 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.0932$ $0$ $1.35177$ Modular form 253.3.c.a.208.43
2-253-11.10-c2-0-19 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.171$ $0$ $1.52596$ Modular form 253.3.c.a.208.27
2-253-11.10-c2-0-2 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.0763$ $0$ $0.123488$ Modular form 253.3.c.a.208.3
2-253-11.10-c2-0-20 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.00176$ $0$ $1.53867$ Modular form 253.3.c.a.208.20
2-253-11.10-c2-0-21 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.400$ $0$ $1.55408$ Modular form 253.3.c.a.208.12
2-253-11.10-c2-0-22 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.175$ $0$ $1.63768$ Modular form 253.3.c.a.208.29
2-253-11.10-c2-0-23 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.145$ $0$ $1.65370$ Modular form 253.3.c.a.208.21
2-253-11.10-c2-0-24 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.305$ $0$ $1.68496$ Modular form 253.3.c.a.208.37
2-253-11.10-c2-0-25 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.281$ $0$ $1.75878$ Modular form 253.3.c.a.208.40
2-253-11.10-c2-0-26 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.190$ $0$ $1.82611$ Modular form 253.3.c.a.208.36
2-253-11.10-c2-0-27 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.0938$ $0$ $1.83555$ Modular form 253.3.c.a.208.26
2-253-11.10-c2-0-28 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.281$ $0$ $1.83644$ Modular form 253.3.c.a.208.5
2-253-11.10-c2-0-29 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.100$ $0$ $1.93971$ Modular form 253.3.c.a.208.31
2-253-11.10-c2-0-3 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.255$ $0$ $0.141652$ Modular form 253.3.c.a.208.34
2-253-11.10-c2-0-30 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.305$ $0$ $1.94492$ Modular form 253.3.c.a.208.22
2-253-11.10-c2-0-31 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.175$ $0$ $1.95326$ Modular form 253.3.c.a.208.16
2-253-11.10-c2-0-32 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.00176$ $0$ $2.01229$ Modular form 253.3.c.a.208.25
2-253-11.10-c2-0-33 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.0938$ $0$ $2.03120$ Modular form 253.3.c.a.208.19
2-253-11.10-c2-0-34 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.165$ $0$ $2.14932$ Modular form 253.3.c.a.208.41
2-253-11.10-c2-0-35 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.413$ $0$ $2.17960$ Modular form 253.3.c.a.208.6
2-253-11.10-c2-0-36 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.171$ $0$ $2.23776$ Modular form 253.3.c.a.208.18
2-253-11.10-c2-0-37 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.305$ $0$ $2.25396$ Modular form 253.3.c.a.208.8
2-253-11.10-c2-0-38 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.476$ $0$ $2.27360$ Modular form 253.3.c.a.208.7
2-253-11.10-c2-0-39 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.482$ $0$ $2.28592$ Modular form 253.3.c.a.208.13
2-253-11.10-c2-0-4 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.482$ $0$ $0.446871$ Modular form 253.3.c.a.208.32
2-253-11.10-c2-0-40 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.373$ $0$ $2.34341$ Modular form 253.3.c.a.208.10
2-253-11.10-c2-0-41 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.432$ $0$ $2.58129$ Modular form 253.3.c.a.208.17
2-253-11.10-c2-0-42 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.255$ $0$ $2.69562$ Modular form 253.3.c.a.208.11
2-253-11.10-c2-0-43 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.338$ $0$ $2.79961$ Modular form 253.3.c.a.208.1
2-253-11.10-c2-0-5 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.0932$ $0$ $0.504624$ Modular form 253.3.c.a.208.2
2-253-11.10-c2-0-6 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.432$ $0$ $0.530076$ Modular form 253.3.c.a.208.28
2-253-11.10-c2-0-7 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.413$ $0$ $0.570824$ Modular form 253.3.c.a.208.39
2-253-11.10-c2-0-8 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $0.338$ $0$ $0.588383$ Modular form 253.3.c.a.208.44
2-253-11.10-c2-0-9 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.10 $2.0$ $2$ ✓ ✓ $-0.305$ $0$ $0.603936$ Modular form 253.3.c.a.208.23
2-253-11.2-c2-0-0 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.2 $2.0$ $2$ ✓ ✓ $0.343$ $0$ $0.0361810$ Modular form 253.3.g.a.24.38
2-253-11.2-c2-0-1 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.2 $2.0$ $2$ ✓ ✓ $-0.357$ $0$ $0.0737276$ Modular form 253.3.g.a.24.22
2-253-11.2-c2-0-10 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.2 $2.0$ $2$ ✓ ✓ $-0.104$ $0$ $0.486891$ Modular form 253.3.g.a.24.12
2-253-11.2-c2-0-11 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.2 $2.0$ $2$ ✓ ✓ $0.00928$ $0$ $0.617819$ Modular form 253.3.g.a.24.2
2-253-11.2-c2-0-12 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.2 $2.0$ $2$ ✓ ✓ $-0.257$ $0$ $0.647025$ Modular form 253.3.g.a.24.26
2-253-11.2-c2-0-13 $2.62$ $6.89$ $2$ $11 \cdot 23$ 11.2 $2.0$ $2$ ✓ ✓ $-0.165$ $0$ $0.670618$ Modular form 253.3.g.a.24.7
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