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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 952 matches)

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Label	$\alpha$	$A$	$d$	$N$	$\chi$	$\nu$	prim	arith	$\operatorname{Arg}(\epsilon)$	$r$	First zero	Origin
2-1197-133.101-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.101	$0.0$	✓	✓	$0.0377$	$0$	$1.27818$	Modular form 1197.1.fp.a.766.1
2-1197-133.109-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.109	$0.0$	✓	✓	$-0.147$	$0$	$1.23242$	Modular form 1197.1.gi.a.109.1
2-1197-133.116-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.116	$0.0$	✓	✓	$0.124$	$0$	$1.78721$	Modular form 1197.1.gi.a.1180.1
2-1197-133.125-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.125	$0.0$	✓	✓	$-0.200$	$0$	$1.07330$	Modular form 1197.1.ci.a.1189.1
2-1197-133.125-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.125	$0.0$	✓	✓	$0.132$	$0$	$1.43307$	Modular form 1197.1.ci.c.1189.1
2-1197-133.125-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.125	$0.0$	✓	✓	$-0.0338$	$0$	$1.54187$	Modular form 1197.1.ci.b.1189.1
2-1197-133.125-c0-0-3	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.125	$0.0$	✓	✓	$0.132$	$0$	$1.74995$	Modular form 1197.1.ci.c.1189.2
2-1197-133.128-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.128	$0.0$	✓	✓	$-0.112$	$0$	$0.877358$	Modular form 1197.1.hb.a.793.1
2-1197-133.131-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.131	$0.0$	✓	✓	$0.356$	$0$	$2.23336$	Modular form 1197.1.fp.a.397.1
2-1197-133.17-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.17	$0.0$	✓	✓	$-0.0732$	$0$	$1.07296$	Modular form 1197.1.ex.a.1081.1
2-1197-133.18-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.18	$0.0$	✓	✓	$-0.239$	$0$	$0.628606$	Modular form 1197.1.cz.b.550.1
2-1197-133.18-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.18	$0.0$	✓	✓	$-0.239$	$0$	$1.24499$	Modular form 1197.1.cz.b.550.2
2-1197-133.18-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.18	$0.0$	✓	✓	$0.260$	$0$	$1.74621$	Artin representation 2.1197.12t18.b.a Modular form 1197.1.cz.a.550.1
2-1197-133.2-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.2	$0.0$	✓	✓	$-0.173$	$0$	$0.999065$	Modular form 1197.1.hb.a.667.1
2-1197-133.24-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.24	$0.0$	✓	✓	$0.112$	$0$	$1.57820$	Modular form 1197.1.ex.a.955.1
2-1197-133.32-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.32	$0.0$	✓	✓	$-0.0731$	$0$	$1.49433$	Modular form 1197.1.hb.a.298.1
2-1197-133.37-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.37	$0.0$	✓	✓	$-0.260$	$0$	$0.523733$	Artin representation 2.1197.12t18.b.b Modular form 1197.1.cz.a.37.1
2-1197-133.37-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.37	$0.0$	✓	✓	$0.239$	$0$	$1.66917$	Modular form 1197.1.cz.b.37.1
2-1197-133.37-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.37	$0.0$	✓	✓	$0.239$	$0$	$2.06275$	Modular form 1197.1.cz.b.37.2
2-1197-133.47-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.47	$0.0$	✓	✓	$0.0732$	$0$	$1.29996$	Modular form 1197.1.ex.a.712.1
2-1197-133.5-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.5	$0.0$	✓	✓	$-0.124$	$0$	$1.21316$	Modular form 1197.1.fp.a.271.1
2-1197-133.51-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.51	$0.0$	✓	✓	$0.295$	$0$	$1.77071$	Modular form 1197.1.gi.a.982.1
2-1197-133.53-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.53	$0.0$	✓	✓	$0.112$	$0$	$1.42457$	Modular form 1197.1.hb.a.1117.1
2-1197-133.54-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.54	$0.0$	✓	✓	$-0.0377$	$0$	$1.25832$	Modular form 1197.1.fp.a.586.1
2-1197-133.60-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.60	$0.0$	✓	✓	$-0.295$	$0$	$0.430581$	Modular form 1197.1.gi.a.991.1
2-1197-133.61-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.61	$0.0$	✓	✓	$-0.112$	$0$	$1.24080$	Modular form 1197.1.ex.a.460.1
2-1197-133.66-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.66	$0.0$	✓	✓	$-0.356$	$0$	$0.578740$	Modular form 1197.1.fp.a.199.1
2-1197-133.67-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.67	$0.0$	✓	✓	$0.173$	$0$	$1.69518$	Modular form 1197.1.hb.a.865.1
2-1197-133.72-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.72	$0.0$	✓	✓	$0.147$	$0$	$1.78820$	Modular form 1197.1.gi.a.604.1
2-1197-133.73-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.73	$0.0$	✓	✓	$-0.133$	$0$	$1.13580$	Modular form 1197.1.ex.a.73.1
2-1197-133.79-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.79	$0.0$	✓	✓	$0.0731$	$0$	$1.70850$	Modular form 1197.1.hb.a.478.1
2-1197-133.80-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.80	$0.0$	✓	✓	$0.124$	$0$	$1.88718$	Modular form 1197.1.fp.a.1144.1
2-1197-133.82-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.82	$0.0$	✓	✓	$0.133$	$0$	$1.84848$	Modular form 1197.1.ex.a.82.1
2-1197-133.83-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.83	$0.0$	✓	✓	$-0.132$	$0$	$1.43256$	Modular form 1197.1.ci.c.748.1
2-1197-133.83-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.83	$0.0$	✓	✓	$0.0338$	$0$	$1.47889$	Modular form 1197.1.ci.b.748.1
2-1197-133.83-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.83	$0.0$	✓	✓	$-0.132$	$0$	$1.68428$	Modular form 1197.1.ci.c.748.2
2-1197-133.83-c0-0-3	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.83	$0.0$	✓	✓	$0.200$	$0$	$2.08682$	Modular form 1197.1.ci.a.748.1
2-1197-133.86-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	133.86	$0.0$	✓	✓	$-0.124$	$0$	$1.27231$	Modular form 1197.1.gi.a.352.1
2-1197-399.227-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.227	$0.0$	✓	✓	$-0.00554$	$0$	$1.33360$	Modular form 1197.1.bt.a.1025.3
2-1197-399.227-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.227	$0.0$	✓	✓	$-0.00554$	$0$	$1.70147$	Modular form 1197.1.bt.a.1025.4
2-1197-399.227-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.227	$0.0$	✓	✓	$0.298$	$0$	$2.10740$	Modular form 1197.1.bt.a.1025.2
2-1197-399.227-c0-0-3	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.227	$0.0$	✓	✓	$0.298$	$0$	$2.28867$	Modular form 1197.1.bt.a.1025.1
2-1197-399.341-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.341	$0.0$	✓	✓	$-0.298$	$0$	$0.702240$	Modular form 1197.1.bt.a.341.2
2-1197-399.341-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.341	$0.0$	✓	✓	$-0.298$	$0$	$1.00144$	Modular form 1197.1.bt.a.341.1
2-1197-399.341-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.341	$0.0$	✓	✓	$0.00554$	$0$	$1.54772$	Modular form 1197.1.bt.a.341.3
2-1197-399.341-c0-0-3	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.341	$0.0$	✓	✓	$0.00554$	$0$	$1.71950$	Modular form 1197.1.bt.a.341.4
2-1197-399.398-c0-0-0	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.398	$0.0$	✓	✓	$-0.152$	$0$	$0.626891$	Modular form 1197.1.h.a.1196.1
2-1197-399.398-c0-0-1	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.398	$0.0$	✓	✓	$-0.152$	$0$	$0.992440$	Modular form 1197.1.h.a.1196.4
2-1197-399.398-c0-0-2	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.398	$0.0$	✓	✓	$0.152$	$0$	$1.24769$	Modular form 1197.1.h.a.1196.2
2-1197-399.398-c0-0-3	$0.772$	$0.597$	$2$	$3^{2} \cdot 7 \cdot 19$	399.398	$0.0$	✓	✓	$0.152$	$0$	$1.80287$	Modular form 1197.1.h.a.1196.3

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.