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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-301-1.1-c1-0-0 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.823724$ Modular form 301.2.a.c.1.2
2-301-1.1-c1-0-1 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.977793$ Modular form 301.2.a.d.1.4
2-301-1.1-c1-0-10 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.19823$ Modular form 301.2.a.a.1.1
2-301-1.1-c1-0-11 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.24770$ Modular form 301.2.a.c.1.5
2-301-1.1-c1-0-12 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.25613$ Modular form 301.2.a.a.1.3
2-301-1.1-c1-0-13 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.30446$ Modular form 301.2.a.d.1.5
2-301-1.1-c1-0-14 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.39686$ Modular form 301.2.a.c.1.4
2-301-1.1-c1-0-15 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.49895$ Modular form 301.2.a.b.1.4
2-301-1.1-c1-0-16 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.50749$ Modular form 301.2.a.d.1.6
2-301-1.1-c1-0-17 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.59859$ Modular form 301.2.a.b.1.2
2-301-1.1-c1-0-18 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.88591$ Modular form 301.2.a.b.1.3
2-301-1.1-c1-0-19 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.03962$ Modular form 301.2.a.a.1.4
2-301-1.1-c1-0-2 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18071$ Modular form 301.2.a.d.1.1
2-301-1.1-c1-0-20 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.12760$ Modular form 301.2.a.b.1.5
2-301-1.1-c1-0-3 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.18170$ Modular form 301.2.a.d.1.2
2-301-1.1-c1-0-4 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.44856$ Modular form 301.2.a.c.1.1
2-301-1.1-c1-0-5 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.58031$ Modular form 301.2.a.a.1.2
2-301-1.1-c1-0-6 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.73938$ Modular form 301.2.a.c.1.3
2-301-1.1-c1-0-7 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.84216$ Modular form 301.2.a.d.1.3
2-301-1.1-c1-0-8 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.95191$ Modular form 301.2.a.b.1.1
2-301-1.1-c1-0-9 $1.55$ $2.40$ $2$ $7 \cdot 43$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.04138$ Modular form 301.2.a.d.1.7
2-301-301.100-c1-0-0 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.183$ $0$ $0.313817$ Modular form 301.2.ba.a.100.3
2-301-301.100-c1-0-1 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.122$ $0$ $0.353201$ Modular form 301.2.ba.a.100.25
2-301-301.100-c1-0-10 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.236$ $0$ $1.36260$ Modular form 301.2.ba.a.100.9
2-301-301.100-c1-0-11 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.0306$ $0$ $1.37929$ Modular form 301.2.ba.a.100.19
2-301-301.100-c1-0-12 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.00470$ $0$ $1.58058$ Modular form 301.2.ba.a.100.1
2-301-301.100-c1-0-13 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.179$ $0$ $1.72213$ Modular form 301.2.ba.a.100.7
2-301-301.100-c1-0-14 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.145$ $0$ $1.81079$ Modular form 301.2.ba.a.100.18
2-301-301.100-c1-0-15 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.00357$ $0$ $1.82422$ Modular form 301.2.ba.a.100.8
2-301-301.100-c1-0-16 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.407$ $0$ $1.89788$ Modular form 301.2.ba.a.100.21
2-301-301.100-c1-0-17 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.0280$ $0$ $1.91996$ Modular form 301.2.ba.a.100.10
2-301-301.100-c1-0-18 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.101$ $0$ $2.11013$ Modular form 301.2.ba.a.100.16
2-301-301.100-c1-0-19 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.119$ $0$ $2.14204$ Modular form 301.2.ba.a.100.2
2-301-301.100-c1-0-2 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.419$ $0$ $0.678366$ Modular form 301.2.ba.a.100.11
2-301-301.100-c1-0-20 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.0647$ $0$ $2.15573$ Modular form 301.2.ba.a.100.14
2-301-301.100-c1-0-21 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.144$ $0$ $2.23809$ Modular form 301.2.ba.a.100.15
2-301-301.100-c1-0-22 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.431$ $0$ $2.39780$ Modular form 301.2.ba.a.100.23
2-301-301.100-c1-0-23 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.365$ $0$ $2.50140$ Modular form 301.2.ba.a.100.22
2-301-301.100-c1-0-24 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.499$ $0$ $2.81821$ Modular form 301.2.ba.a.100.24
2-301-301.100-c1-0-25 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.319$ $0$ $3.03779$ Modular form 301.2.ba.a.100.20
2-301-301.100-c1-0-26 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.469$ $0$ $3.33741$ Modular form 301.2.ba.a.100.27
2-301-301.100-c1-0-3 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.418$ $0$ $0.745698$ Modular form 301.2.ba.a.100.6
2-301-301.100-c1-0-4 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.421$ $0$ $0.810616$ Modular form 301.2.ba.a.100.13
2-301-301.100-c1-0-5 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $0.0992$ $0$ $0.863386$ Modular form 301.2.ba.a.100.26
2-301-301.100-c1-0-6 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.464$ $0$ $0.877816$ Modular form 301.2.ba.a.100.4
2-301-301.100-c1-0-7 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.284$ $0$ $0.921038$ Modular form 301.2.ba.a.100.12
2-301-301.100-c1-0-8 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.114$ $0$ $1.03622$ Modular form 301.2.ba.a.100.17
2-301-301.100-c1-0-9 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.100 $1.0$ $1$ ✓ ✓ $-0.355$ $0$ $1.07340$ Modular form 301.2.ba.a.100.5
2-301-301.102-c1-0-0 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.102 $1.0$ $1$ ✓ ✓ $-0.188$ $0$ $0.504437$ Modular form 301.2.bb.a.102.19
2-301-301.102-c1-0-1 $1.55$ $2.40$ $2$ $7 \cdot 43$ 301.102 $1.0$ $1$ ✓ ✓ $-0.217$ $0$ $0.625330$ Modular form 301.2.bb.a.102.6
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