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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
2-12e3-24.5-c2-0-0 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.291$ $0$ $0.0217851$ Modular form 1728.3.h.j.161.2
2-12e3-24.5-c2-0-1 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.458$ $0$ $0.0342298$ Modular form 1728.3.h.i.161.9
2-12e3-24.5-c2-0-10 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.227323$ Modular form 1728.3.h.i.161.3
2-12e3-24.5-c2-0-11 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.375$ $0$ $0.234386$ Modular form 1728.3.h.b.161.4
2-12e3-24.5-c2-0-12 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.375$ $0$ $0.288676$ Modular form 1728.3.h.c.161.4
2-12e3-24.5-c2-0-13 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.291$ $0$ $0.317761$ Modular form 1728.3.h.h.161.5
2-12e3-24.5-c2-0-14 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.335317$ Modular form 1728.3.h.g.161.4
2-12e3-24.5-c2-0-15 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.125$ $0$ $0.368645$ Modular form 1728.3.h.a.161.2
2-12e3-24.5-c2-0-16 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.291$ $0$ $0.370715$ Modular form 1728.3.h.j.161.7
2-12e3-24.5-c2-0-17 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.125$ $0$ $0.376106$ Modular form 1728.3.h.e.161.1
2-12e3-24.5-c2-0-18 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.291$ $0$ $0.425679$ Modular form 1728.3.h.d.161.4
2-12e3-24.5-c2-0-19 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.291$ $0$ $0.428952$ Modular form 1728.3.h.j.161.10
2-12e3-24.5-c2-0-2 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.458$ $0$ $0.0424308$ Modular form 1728.3.h.g.161.2
2-12e3-24.5-c2-0-20 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.0416$ $0$ $0.449723$ Modular form 1728.3.h.j.161.5
2-12e3-24.5-c2-0-21 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.0416$ $0$ $0.547545$ Modular form 1728.3.h.h.161.3
2-12e3-24.5-c2-0-22 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.551164$ Modular form 1728.3.h.i.161.12
2-12e3-24.5-c2-0-23 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.0416$ $0$ $0.563353$ Modular form 1728.3.h.j.161.6
2-12e3-24.5-c2-0-24 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.0416$ $0$ $0.581754$ Modular form 1728.3.h.d.161.2
2-12e3-24.5-c2-0-25 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.602901$ Modular form 1728.3.h.g.161.8
2-12e3-24.5-c2-0-26 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.208$ $0$ $0.624138$ Modular form 1728.3.h.i.161.6
2-12e3-24.5-c2-0-27 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.0416$ $0$ $0.662005$ Modular form 1728.3.h.h.161.4
2-12e3-24.5-c2-0-28 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.125$ $0$ $0.670426$ Modular form 1728.3.h.f.161.1
2-12e3-24.5-c2-0-29 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.0416$ $0$ $0.683655$ Modular form 1728.3.h.d.161.1
2-12e3-24.5-c2-0-3 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.458$ $0$ $0.0474794$ Modular form 1728.3.h.i.161.8
2-12e3-24.5-c2-0-30 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.125$ $0$ $0.685685$ Modular form 1728.3.h.a.161.4
2-12e3-24.5-c2-0-31 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.125$ $0$ $0.693617$ Modular form 1728.3.h.e.161.2
2-12e3-24.5-c2-0-32 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.125$ $0$ $0.743534$ Modular form 1728.3.h.f.161.4
2-12e3-24.5-c2-0-33 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.208$ $0$ $0.763390$ Modular form 1728.3.h.i.161.4
2-12e3-24.5-c2-0-34 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.0416$ $0$ $0.773553$ Modular form 1728.3.h.j.161.4
2-12e3-24.5-c2-0-35 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.125$ $0$ $0.778713$ Modular form 1728.3.h.e.161.4
2-12e3-24.5-c2-0-36 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.291$ $0$ $0.793960$ Modular form 1728.3.h.h.161.2
2-12e3-24.5-c2-0-37 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.208$ $0$ $0.878000$ Modular form 1728.3.h.g.161.3
2-12e3-24.5-c2-0-38 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.0416$ $0$ $0.879653$ Modular form 1728.3.h.j.161.3
2-12e3-24.5-c2-0-39 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.0416$ $0$ $1.04409$ Modular form 1728.3.h.j.161.11
2-12e3-24.5-c2-0-4 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.125$ $0$ $0.0799510$ Modular form 1728.3.h.a.161.1
2-12e3-24.5-c2-0-40 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.125$ $0$ $1.05995$ Modular form 1728.3.h.a.161.3
2-12e3-24.5-c2-0-41 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.125$ $0$ $1.10440$ Modular form 1728.3.h.f.161.2
2-12e3-24.5-c2-0-42 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.0416$ $0$ $1.10940$ Modular form 1728.3.h.h.161.7
2-12e3-24.5-c2-0-43 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.375$ $0$ $1.15977$ Modular form 1728.3.h.c.161.2
2-12e3-24.5-c2-0-44 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.375$ $0$ $1.17711$ Modular form 1728.3.h.b.161.2
2-12e3-24.5-c2-0-45 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.125$ $0$ $1.23066$ Modular form 1728.3.h.f.161.3
2-12e3-24.5-c2-0-46 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.291$ $0$ $1.24167$ Modular form 1728.3.h.h.161.6
2-12e3-24.5-c2-0-47 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.458$ $0$ $1.24853$ Modular form 1728.3.h.g.161.1
2-12e3-24.5-c2-0-48 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.125$ $0$ $1.27180$ Modular form 1728.3.h.e.161.3
2-12e3-24.5-c2-0-49 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.208$ $0$ $1.27189$ Modular form 1728.3.h.i.161.11
2-12e3-24.5-c2-0-5 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $-0.458$ $0$ $0.0991919$ Modular form 1728.3.h.g.161.6
2-12e3-24.5-c2-0-50 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.458$ $0$ $1.28656$ Modular form 1728.3.h.i.161.1
2-12e3-24.5-c2-0-51 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.0416$ $0$ $1.29664$ Modular form 1728.3.h.j.161.12
2-12e3-24.5-c2-0-52 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.458$ $0$ $1.31925$ Modular form 1728.3.h.i.161.7
2-12e3-24.5-c2-0-53 $6.86$ $47.0$ $2$ $2^{6} \cdot 3^{3}$ 24.5 $$ $2.0$ $2$ ✓ ✓ $0.291$ $0$ $1.35636$ Modular form 1728.3.h.j.161.8
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