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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-161-161.104-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.104 $0.0$ 0 ✓ ✓ $0.0518$ $0$ $2.82436$ Modular form 161.1.l.a.104.1
2-161-161.118-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.118 $0.0$ 0 ✓ ✓ $-0.357$ $0$ $1.96999$ Modular form 161.1.l.a.118.1
2-161-161.13-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.13 $0.0$ 0 ✓ ✓ $0.0208$ $0$ $2.89302$ Modular form 161.1.l.a.13.1
2-161-161.146-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.146 $0.0$ 0 ✓ ✓ $0.357$ $0$ $3.91167$ Modular form 161.1.l.a.146.1
2-161-161.27-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.27 $0.0$ 0 ✓ ✓ $0.276$ $0$ $2.91500$ Modular form 161.1.l.a.27.1
2-161-161.41-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.41 $0.0$ 0 ✓ ✓ $0.0645$ $0$ $1.74159$ Modular form 161.1.l.a.41.1
2-161-161.48-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.48 $0.0$ 0 ✓ ✓ $-0.0518$ $0$ $2.84042$ Modular form 161.1.l.a.48.1
2-161-161.55-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.55 $0.0$ 0 ✓ ✓ $-0.0645$ $0$ $1.74005$ Modular form 161.1.l.a.55.1
2-161-161.6-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.6 $0.0$ 0 ✓ ✓ $-0.276$ $0$ $1.68117$ Modular form 161.1.l.a.6.1
2-161-161.62-c0-0-0 $0.283$ $0.0803$ $2$ $7 \cdot 23$ 161.62 $0.0$ 0 ✓ ✓ $-0.0208$ $0$ $2.29825$ Modular form 161.1.l.a.62.1
2-161-1.1-c1-0-0 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.695573$ Modular form 161.2.a.d.1.2
2-161-1.1-c1-0-1 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.02437$ Modular form 161.2.a.c.1.1
2-161-1.1-c1-0-10 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.57697$ Modular form 161.2.a.b.1.2
2-161-1.1-c1-0-2 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.51926$ Elliptic curve 161.a Modular form 161.2.a.a Modular form 161.2.a.a.1.1
2-161-1.1-c1-0-3 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.92414$ Modular form 161.2.a.d.1.1
2-161-1.1-c1-0-4 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.14582$ Modular form 161.2.a.c.1.2
2-161-1.1-c1-0-5 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.29996$ Modular form 161.2.a.d.1.4
2-161-1.1-c1-0-6 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.44933$ Modular form 161.2.a.b.1.1
2-161-1.1-c1-0-7 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.63621$ Modular form 161.2.a.d.1.3
2-161-1.1-c1-0-8 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.70320$ Modular form 161.2.a.c.1.3
2-161-1.1-c1-0-9 $1.13$ $1.28$ $2$ $7 \cdot 23$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.86259$ Modular form 161.2.a.d.1.5
2-161-161.10-c1-0-0 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.483$ $0$ $0.203809$ Modular form 161.2.o.a.10.4
2-161-161.10-c1-0-1 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.476$ $0$ $0.935131$ Modular form 161.2.o.a.10.3
2-161-161.10-c1-0-10 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.293$ $0$ $2.73471$ Modular form 161.2.o.a.10.8
2-161-161.10-c1-0-11 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.406$ $0$ $3.31926$ Modular form 161.2.o.a.10.14
2-161-161.10-c1-0-12 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.476$ $0$ $3.84849$ Modular form 161.2.o.a.10.13
2-161-161.10-c1-0-13 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.491$ $0$ $3.90339$ Modular form 161.2.o.a.10.11
2-161-161.10-c1-0-2 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.370$ $0$ $1.51965$ Modular form 161.2.o.a.10.5
2-161-161.10-c1-0-3 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.233$ $0$ $1.69964$ Modular form 161.2.o.a.10.2
2-161-161.10-c1-0-4 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.0180$ $0$ $1.79943$ Modular form 161.2.o.a.10.7
2-161-161.10-c1-0-5 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.0747$ $0$ $1.80486$ Modular form 161.2.o.a.10.10
2-161-161.10-c1-0-6 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $-0.164$ $0$ $1.91448$ Modular form 161.2.o.a.10.6
2-161-161.10-c1-0-7 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.0831$ $0$ $2.03141$ Modular form 161.2.o.a.10.9
2-161-161.10-c1-0-8 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.106$ $0$ $2.15380$ Modular form 161.2.o.a.10.1
2-161-161.10-c1-0-9 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.10 $1.0$ $1$ ✓ ✓ $0.136$ $0$ $2.24412$ Modular form 161.2.o.a.10.12
2-161-161.100-c1-0-0 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.278$ $0$ $0.276911$ Modular form 161.2.m.a.100.3
2-161-161.100-c1-0-1 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.309$ $0$ $0.350395$ Modular form 161.2.m.a.100.6
2-161-161.100-c1-0-10 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.270$ $0$ $2.73503$ Modular form 161.2.m.a.100.5
2-161-161.100-c1-0-11 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.0902$ $0$ $2.87984$ Modular form 161.2.m.a.100.10
2-161-161.100-c1-0-12 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.233$ $0$ $3.01901$ Modular form 161.2.m.a.100.9
2-161-161.100-c1-0-13 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.450$ $0$ $3.49645$ Modular form 161.2.m.a.100.2
2-161-161.100-c1-0-2 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.0332$ $0$ $1.25037$ Modular form 161.2.m.a.100.4
2-161-161.100-c1-0-3 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.347$ $0$ $1.30583$ Modular form 161.2.m.a.100.12
2-161-161.100-c1-0-4 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.269$ $0$ $1.78263$ Modular form 161.2.m.a.100.1
2-161-161.100-c1-0-5 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.266$ $0$ $1.84293$ Modular form 161.2.m.a.100.14
2-161-161.100-c1-0-6 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.00637$ $0$ $1.88580$ Modular form 161.2.m.a.100.8
2-161-161.100-c1-0-7 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.0912$ $0$ $2.28382$ Modular form 161.2.m.a.100.11
2-161-161.100-c1-0-8 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $0.389$ $0$ $2.44534$ Modular form 161.2.m.a.100.7
2-161-161.100-c1-0-9 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.100 $1.0$ $1$ ✓ ✓ $-0.0854$ $0$ $2.52750$ Modular form 161.2.m.a.100.13
2-161-161.103-c1-0-0 $1.13$ $1.28$ $2$ $7 \cdot 23$ 161.103 $1.0$ $1$ ✓ ✓ $-0.456$ $0$ $1.05241$ Modular form 161.2.o.a.103.12
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