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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
2-309-309.116-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.116 $0.0$ 0 ✓ ✓ $0.0885$ $0$ $2.40901$ Modular form 309.1.l.a.116.1
2-309-309.137-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.137 $0.0$ 0 ✓ ✓ $-0.203$ $0$ $1.52158$ Modular form 309.1.l.a.137.1
2-309-309.14-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.14 $0.0$ 0 ✓ ✓ $-0.0290$ $0$ $2.08075$ Modular form 309.1.l.a.14.1
2-309-309.149-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.149 $0.0$ 0 ✓ ✓ $0.0464$ $0$ $1.53386$ Artin representation 2.309.16t60.a.d Modular form 309.1.h.a.149.1
2-309-309.149-c0-0-1 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.149 $0.0$ 0 ✓ ✓ $0.0464$ $0$ $1.99031$ Artin representation 2.309.16t60.a.a Modular form 309.1.h.a.149.2
2-309-309.164-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.164 $0.0$ 0 ✓ ✓ $0.169$ $0$ $2.74873$ Modular form 309.1.l.a.164.1
2-309-309.167-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.167 $0.0$ 0 ✓ ✓ $0.139$ $0$ $2.32506$ Modular form 309.1.l.a.167.1
2-309-309.179-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.179 $0.0$ 0 ✓ ✓ $-0.169$ $0$ $1.47116$ Modular form 309.1.l.a.179.1
2-309-309.182-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.182 $0.0$ 0 ✓ ✓ $0.0893$ $0$ $2.59858$ Modular form 309.1.l.a.182.1
2-309-309.203-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.203 $0.0$ 0 ✓ ✓ $0.203$ $0$ $2.71021$ Modular form 309.1.l.a.203.1
2-309-309.215-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.215 $0.0$ 0 ✓ ✓ $0.00835$ $0$ $1.69601$ Modular form 309.1.l.a.215.1
2-309-309.23-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.23 $0.0$ 0 ✓ ✓ $-0.00835$ $0$ $1.55615$ Modular form 309.1.l.a.23.1
2-309-309.236-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.236 $0.0$ 0 ✓ ✓ $-0.0893$ $0$ $2.05444$ Modular form 309.1.l.a.236.1
2-309-309.272-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.272 $0.0$ 0 ✓ ✓ $-0.139$ $0$ $1.30049$ Modular form 309.1.l.a.272.1
2-309-309.278-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.278 $0.0$ 0 ✓ ✓ $0.360$ $0$ $3.00815$ Modular form 309.1.l.a.278.1
2-309-309.287-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.287 $0.0$ 0 ✓ ✓ $0.0290$ $0$ $2.04574$ Modular form 309.1.l.a.287.1
2-309-309.299-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.299 $0.0$ 0 ✓ ✓ $-0.360$ $0$ $0.726416$ Modular form 309.1.l.a.299.1
2-309-309.56-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.56 $0.0$ 0 ✓ ✓ $-0.0464$ $0$ $0.907851$ Artin representation 2.309.16t60.a.c Modular form 309.1.h.a.56.1
2-309-309.56-c0-0-1 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.56 $0.0$ 0 ✓ ✓ $-0.0464$ $0$ $2.12258$ Artin representation 2.309.16t60.a.b Modular form 309.1.h.a.56.2
2-309-309.8-c0-0-0 $0.392$ $0.154$ $2$ $3 \cdot 103$ 309.8 $0.0$ 0 ✓ ✓ $-0.0885$ $0$ $2.04015$ Modular form 309.1.l.a.8.1
2-309-1.1-c1-0-0 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.774632$ Modular form 309.2.a.b.1.1
2-309-1.1-c1-0-1 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.909632$ Modular form 309.2.a.d.1.2
2-309-1.1-c1-0-10 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.03959$ Modular form 309.2.a.b.1.3
2-309-1.1-c1-0-11 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.33347$ Modular form 309.2.a.d.1.7
2-309-1.1-c1-0-12 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.36579$ Modular form 309.2.a.d.1.8
2-309-1.1-c1-0-13 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.38545$ Modular form 309.2.a.c.1.3
2-309-1.1-c1-0-14 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.38565$ Elliptic curve 309.a Modular form 309.2.a.a Modular form 309.2.a.a.1.1
2-309-1.1-c1-0-15 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.65718$ Modular form 309.2.a.c.1.4
2-309-1.1-c1-0-16 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.27686$ Modular form 309.2.a.c.1.5
2-309-1.1-c1-0-2 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.26162$ Modular form 309.2.a.b.1.2
2-309-1.1-c1-0-3 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.27176$ Modular form 309.2.a.d.1.4
2-309-1.1-c1-0-4 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.38208$ Modular form 309.2.a.d.1.3
2-309-1.1-c1-0-5 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.43926$ Modular form 309.2.a.d.1.1
2-309-1.1-c1-0-6 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.68818$ Modular form 309.2.a.d.1.5
2-309-1.1-c1-0-7 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.79270$ Modular form 309.2.a.c.1.2
2-309-1.1-c1-0-8 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.80607$ Modular form 309.2.a.c.1.1
2-309-1.1-c1-0-9 $1.57$ $2.46$ $2$ $3 \cdot 103$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.95706$ Modular form 309.2.a.d.1.6
2-309-103.100-c1-0-0 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.311$ $0$ $0.0238043$ Modular form 309.2.i.a.100.3
2-309-103.100-c1-0-1 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.322$ $0$ $0.264519$ Modular form 309.2.i.a.100.2
2-309-103.100-c1-0-10 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.0886$ $0$ $1.73214$ Modular form 309.2.i.b.100.4
2-309-103.100-c1-0-11 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.117$ $0$ $1.74178$ Modular form 309.2.i.b.100.1
2-309-103.100-c1-0-12 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.205$ $0$ $1.87528$ Modular form 309.2.i.b.100.6
2-309-103.100-c1-0-13 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.0116$ $0$ $1.87958$ Modular form 309.2.i.a.100.5
2-309-103.100-c1-0-14 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.0845$ $0$ $2.03271$ Modular form 309.2.i.a.100.7
2-309-103.100-c1-0-15 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.232$ $0$ $2.57486$ Modular form 309.2.i.b.100.9
2-309-103.100-c1-0-16 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.171$ $0$ $2.64615$ Modular form 309.2.i.a.100.8
2-309-103.100-c1-0-17 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $0.311$ $0$ $2.98989$ Modular form 309.2.i.b.100.10
2-309-103.100-c1-0-2 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $-0.382$ $0$ $0.318996$ Modular form 309.2.i.b.100.5
2-309-103.100-c1-0-3 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $-0.390$ $0$ $0.441379$ Modular form 309.2.i.b.100.3
2-309-103.100-c1-0-4 $1.57$ $2.46$ $2$ $3 \cdot 103$ 103.100 $1.0$ $1$ ✓ ✓ $-0.277$ $0$ $0.456976$ Modular form 309.2.i.b.100.8
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