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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 1531661 matches)

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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
2-7-7.6-c2-0-0 $0.436$ $0.190$ $2$ $7$ 7.6 $2.0$ $2$ ✓ ✓ ✓ ✓ $0$ $0$ $7.21458$ Modular form 7.3.b.a Modular form 7.3.b.a.6.1
2-2e3-8.3-c2-0-0 $0.466$ $0.217$ $2$ $2^{3}$ 8.3 $2.0$ $2$ ✓ ✓ ✓ ✓ $0$ $0$ $6.45219$ Modular form 8.3.d.a Modular form 8.3.d.a.3.1
2-3e2-9.2-c2-0-0 $0.495$ $0.245$ $2$ $3^{2}$ 9.2 $2.0$ $2$ ✓ ✓ $0.0277$ $0$ $6.45974$ Modular form 9.3.d.a.2.1
2-3e2-9.5-c2-0-0 $0.495$ $0.245$ $2$ $3^{2}$ 9.5 $2.0$ $2$ ✓ ✓ $-0.0277$ $0$ $5.43739$ Modular form 9.3.d.a.5.1
4-3e4-1.1-c2e2-0-0 $0.495$ $0.0601$ $4$ $3^{4}$ 1.1 $2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $5.43739$ Modular form 9.3.d.a
2-10-5.2-c2-0-0 $0.521$ $0.272$ $2$ $2 \cdot 5$ 5.2 $2.0$ $2$ ✓ ✓ $0.0368$ $0$ $6.19183$ Modular form 10.3.c.a.7.1
2-10-5.3-c2-0-0 $0.521$ $0.272$ $2$ $2 \cdot 5$ 5.3 $2.0$ $2$ ✓ ✓ $-0.0368$ $0$ $5.03540$ Modular form 10.3.c.a.3.1
4-10e2-1.1-c2e2-0-0 $0.521$ $0.0742$ $4$ $2^{2} \cdot 5^{2}$ 1.1 $2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $5.03540$ Modular form 10.3.c.a
2-11-11.10-c2-0-0 $0.547$ $0.299$ $2$ $11$ 11.10 $2.0$ $2$ ✓ ✓ ✓ ✓ $0$ $0$ $5.54693$ Modular form 11.3.b.a Modular form 11.3.b.a.10.1
2-11-11.2-c2-0-0 $0.547$ $0.299$ $2$ $11$ 11.2 $2.0$ $2$ ✓ ✓ $0.00756$ $0$ $5.26043$ Modular form 11.3.d.a.2.1
2-11-11.6-c2-0-0 $0.547$ $0.299$ $2$ $11$ 11.6 $2.0$ $2$ ✓ ✓ $-0.00756$ $0$ $5.11354$ Modular form 11.3.d.a.6.1
2-11-11.7-c2-0-0 $0.547$ $0.299$ $2$ $11$ 11.7 $2.0$ $2$ ✓ ✓ $-0.114$ $0$ $3.85750$ Modular form 11.3.d.a.7.1
2-11-11.8-c2-0-0 $0.547$ $0.299$ $2$ $11$ 11.8 $2.0$ $2$ ✓ ✓ $0.114$ $0$ $6.75128$ Modular form 11.3.d.a.8.1
8-11e4-1.1-c2e4-0-0 $0.547$ $0.00807$ $8$ $11^{4}$ 1.1 $2.0, 2.0, 2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $3.85750$ Modular form 11.3.d.a
2-12-3.2-c2-0-0 $0.571$ $0.326$ $2$ $2^{2} \cdot 3$ 3.2 $2.0$ $2$ ✓ ✓ ✓ ✓ $0$ $0$ $5.13182$ Modular form 12.3.c.a Modular form 12.3.c.a.5.1
2-12-4.3-c2-0-0 $0.571$ $0.326$ $2$ $2^{2} \cdot 3$ 4.3 $2.0$ $2$ ✓ ✓ $-0.0833$ $0$ $4.04688$ Modular form 12.3.d.a.7.2
2-12-4.3-c2-0-1 $0.571$ $0.326$ $2$ $2^{2} \cdot 3$ 4.3 $2.0$ $2$ ✓ ✓ $0.0833$ $0$ $5.81330$ Modular form 12.3.d.a.7.1
4-12e2-1.1-c2e2-0-0 $0.571$ $0.106$ $4$ $2^{4} \cdot 3^{2}$ 1.1 $2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $4.04688$ Modular form 12.3.d.a
2-13-13.11-c2-0-0 $0.595$ $0.354$ $2$ $13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.0894$ $0$ $3.95683$ Modular form 13.3.f.a.11.1
2-13-13.2-c2-0-0 $0.595$ $0.354$ $2$ $13$ 13.2 $2.0$ $2$ ✓ ✓ $0.00410$ $0$ $4.65942$ Modular form 13.3.f.a.2.1
2-13-13.5-c2-0-0 $0.595$ $0.354$ $2$ $13$ 13.5 $2.0$ $2$ ✓ ✓ $-0.184$ $0$ $2.85218$ Modular form 13.3.d.a.5.1
2-13-13.5-c2-0-1 $0.595$ $0.354$ $2$ $13$ 13.5 $2.0$ $2$ ✓ ✓ $0.0282$ $0$ $5.65990$ Modular form 13.3.d.a.5.2
2-13-13.6-c2-0-0 $0.595$ $0.354$ $2$ $13$ 13.6 $2.0$ $2$ ✓ ✓ $0.0894$ $0$ $5.69553$ Modular form 13.3.f.a.6.1
2-13-13.7-c2-0-0 $0.595$ $0.354$ $2$ $13$ 13.7 $2.0$ $2$ ✓ ✓ $-0.00410$ $0$ $4.61993$ Modular form 13.3.f.a.7.1
2-13-13.8-c2-0-0 $0.595$ $0.354$ $2$ $13$ 13.8 $2.0$ $2$ ✓ ✓ $-0.0282$ $0$ $4.77450$ Modular form 13.3.d.a.8.2
2-13-13.8-c2-0-1 $0.595$ $0.354$ $2$ $13$ 13.8 $2.0$ $2$ ✓ ✓ $0.184$ $0$ $6.16404$ Modular form 13.3.d.a.8.1
8-13e4-1.1-c2e4-0-0 $0.595$ $0.0157$ $8$ $13^{4}$ 1.1 $2.0, 2.0, 2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $2.85218$ Modular form 13.3.d.a
8-13e4-1.1-c2e4-0-1 $0.595$ $0.0157$ $8$ $13^{4}$ 1.1 $2.0, 2.0, 2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $3.95683$ Modular form 13.3.f.a
2-14-7.3-c2-0-0 $0.617$ $0.381$ $2$ $2 \cdot 7$ 7.3 $2.0$ $2$ ✓ ✓ $-0.0516$ $0$ $4.48579$ Modular form 14.3.d.a.3.2
2-14-7.3-c2-0-1 $0.617$ $0.381$ $2$ $2 \cdot 7$ 7.3 $2.0$ $2$ ✓ ✓ $0.0717$ $0$ $5.02126$ Modular form 14.3.d.a.3.1
2-14-7.5-c2-0-0 $0.617$ $0.381$ $2$ $2 \cdot 7$ 7.5 $2.0$ $2$ ✓ ✓ $-0.0717$ $0$ $3.81523$ Modular form 14.3.d.a.5.1
2-14-7.5-c2-0-1 $0.617$ $0.381$ $2$ $2 \cdot 7$ 7.5 $2.0$ $2$ ✓ ✓ $0.0516$ $0$ $5.53199$ Modular form 14.3.d.a.5.2
8-14e4-1.1-c2e4-0-0 $0.617$ $0.0211$ $8$ $2^{4} \cdot 7^{4}$ 1.1 $2.0, 2.0, 2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $3.81523$ Modular form 14.3.d.a
2-15-15.14-c2-0-0 $0.639$ $0.408$ $2$ $3 \cdot 5$ 15.14 $2.0$ $2$ ✓ ✓ ✓ ✓ $0$ $0$ $4.08039$ Modular form 15.3.d.a Modular form 15.3.d.a.14.1
2-15-15.14-c2-0-1 $0.639$ $0.408$ $2$ $3 \cdot 5$ 15.14 $2.0$ $2$ ✓ ✓ ✓ ✓ $0$ $0$ $4.84192$ Modular form 15.3.d.b Modular form 15.3.d.b.14.1
2-15-3.2-c2-0-0 $0.639$ $0.408$ $2$ $3 \cdot 5$ 3.2 $2.0$ $2$ ✓ ✓ $-0.116$ $0$ $3.64213$ Modular form 15.3.c.a.11.2
2-15-3.2-c2-0-1 $0.639$ $0.408$ $2$ $3 \cdot 5$ 3.2 $2.0$ $2$ ✓ ✓ $0.116$ $0$ $5.68732$ Modular form 15.3.c.a.11.1
2-15-5.2-c2-0-0 $0.639$ $0.408$ $2$ $3 \cdot 5$ 5.2 $2.0$ $2$ ✓ ✓ $-0.0208$ $0$ $4.23786$ Modular form 15.3.f.a.7.2
2-15-5.2-c2-0-1 $0.639$ $0.408$ $2$ $3 \cdot 5$ 5.2 $2.0$ $2$ ✓ ✓ $0.197$ $0$ $5.59617$ Modular form 15.3.f.a.7.1
2-15-5.3-c2-0-0 $0.639$ $0.408$ $2$ $3 \cdot 5$ 5.3 $2.0$ $2$ ✓ ✓ $-0.197$ $0$ $2.58030$ Modular form 15.3.f.a.13.1
2-15-5.3-c2-0-1 $0.639$ $0.408$ $2$ $3 \cdot 5$ 5.3 $2.0$ $2$ ✓ ✓ $0.0208$ $0$ $4.70631$ Modular form 15.3.f.a.13.2
4-15e2-1.1-c2e2-0-0 $0.639$ $0.167$ $4$ $3^{2} \cdot 5^{2}$ 1.1 $2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $3.64213$ Modular form 15.3.c.a
8-15e4-1.1-c2e4-0-0 $0.639$ $0.0279$ $8$ $3^{4} \cdot 5^{4}$ 1.1 $2.0, 2.0, 2.0, 2.0$ $2$ ✓ ✓ ✓ $0$ $0$ $2.58030$ Modular form 15.3.f.a
12-2e24-1.1-c2e6-0-0 $0.660$ $0.00686$ $12$ $2^{24}$ 1.1 $[2.0]^{6}$ $2$ ✓ ✓ ✓ $0$ $0$ $2.98931$ Modular form 16.3.f.a
2-2e4-16.11-c2-0-0 $0.660$ $0.435$ $2$ $2^{4}$ 16.11 $2.0$ $2$ ✓ ✓ $-0.122$ $0$ $2.98931$ Modular form 16.3.f.a.11.1
2-2e4-16.11-c2-0-1 $0.660$ $0.435$ $2$ $2^{4}$ 16.11 $2.0$ $2$ ✓ ✓ $-0.0676$ $0$ $4.30895$ Modular form 16.3.f.a.11.3
2-2e4-16.11-c2-0-2 $0.660$ $0.435$ $2$ $2^{4}$ 16.11 $2.0$ $2$ ✓ ✓ $0.127$ $0$ $5.23955$ Modular form 16.3.f.a.11.2
2-2e4-16.3-c2-0-0 $0.660$ $0.435$ $2$ $2^{4}$ 16.3 $2.0$ $2$ ✓ ✓ $-0.127$ $0$ $3.26337$ Modular form 16.3.f.a.3.2
2-2e4-16.3-c2-0-1 $0.660$ $0.435$ $2$ $2^{4}$ 16.3 $2.0$ $2$ ✓ ✓ $0.122$ $0$ $4.75617$ Modular form 16.3.f.a.3.1
2-2e4-16.3-c2-0-2 $0.660$ $0.435$ $2$ $2^{4}$ 16.3 $2.0$ $2$ ✓ ✓ $0.0676$ $0$ $5.23075$ Modular form 16.3.f.a.3.3
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