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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-31e2-1.1-c1-0-0 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.229117$ Modular form 961.2.a.k.1.1
2-31e2-1.1-c1-0-1 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.247996$ Modular form 961.2.a.h.1.1
2-31e2-1.1-c1-0-10 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.842638$ Modular form 961.2.a.e.1.1
2-31e2-1.1-c1-0-11 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.897500$ Modular form 961.2.a.c.1.2
2-31e2-1.1-c1-0-12 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.911767$ Modular form 961.2.a.k.1.5
2-31e2-1.1-c1-0-13 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $0.969818$ Modular form 961.2.a.l.1.5
2-31e2-1.1-c1-0-14 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.00211$ Modular form 961.2.a.g.1.1
2-31e2-1.1-c1-0-15 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.01784$ Modular form 961.2.a.k.1.2
2-31e2-1.1-c1-0-16 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.06112$ Modular form 961.2.a.j.1.2
2-31e2-1.1-c1-0-17 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.06162$ Modular form 961.2.a.k.1.7
2-31e2-1.1-c1-0-18 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.12739$ Modular form 961.2.a.h.1.2
2-31e2-1.1-c1-0-19 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.14851$ Modular form 961.2.a.l.1.9
2-31e2-1.1-c1-0-2 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.359109$ Modular form 961.2.a.g.1.2
2-31e2-1.1-c1-0-20 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.21643$ Modular form 961.2.a.l.1.1
2-31e2-1.1-c1-0-21 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.22757$ Modular form 961.2.a.k.1.11
2-31e2-1.1-c1-0-22 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.24713$ Modular form 961.2.a.j.1.3
2-31e2-1.1-c1-0-23 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.33711$ Modular form 961.2.a.a.1.1
2-31e2-1.1-c1-0-24 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.33823$ Modular form 961.2.a.l.1.3
2-31e2-1.1-c1-0-25 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.34927$ Modular form 961.2.a.c.1.1
2-31e2-1.1-c1-0-26 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.35101$ Modular form 961.2.a.k.1.6
2-31e2-1.1-c1-0-27 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.36466$ Modular form 961.2.a.l.1.7
2-31e2-1.1-c1-0-28 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.39443$ Modular form 961.2.a.d.1.1
2-31e2-1.1-c1-0-29 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.41559$ Modular form 961.2.a.b.1.2
2-31e2-1.1-c1-0-3 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.489589$ Modular form 961.2.a.k.1.4
2-31e2-1.1-c1-0-30 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.45835$ Modular form 961.2.a.k.1.9
2-31e2-1.1-c1-0-31 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.46754$ Modular form 961.2.a.e.1.2
2-31e2-1.1-c1-0-32 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53075$ Modular form 961.2.a.j.1.4
2-31e2-1.1-c1-0-33 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.53693$ Modular form 961.2.a.i.1.4
2-31e2-1.1-c1-0-34 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.54001$ Modular form 961.2.a.l.1.11
2-31e2-1.1-c1-0-35 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.58931$ Modular form 961.2.a.k.1.8
2-31e2-1.1-c1-0-36 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.59329$ Modular form 961.2.a.l.1.2
2-31e2-1.1-c1-0-37 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.71465$ Modular form 961.2.a.h.1.3
2-31e2-1.1-c1-0-38 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.73246$ Modular form 961.2.a.l.1.6
2-31e2-1.1-c1-0-39 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.74651$ Modular form 961.2.a.i.1.3
2-31e2-1.1-c1-0-4 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.510445$ Modular form 961.2.a.f.1.1
2-31e2-1.1-c1-0-40 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.75410$ Modular form 961.2.a.l.1.8
2-31e2-1.1-c1-0-41 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.77682$ Modular form 961.2.a.i.1.1
2-31e2-1.1-c1-0-42 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.82519$ Modular form 961.2.a.g.1.3
2-31e2-1.1-c1-0-43 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.88638$ Modular form 961.2.a.i.1.2
2-31e2-1.1-c1-0-44 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.89096$ Modular form 961.2.a.j.1.8
2-31e2-1.1-c1-0-45 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.90785$ Modular form 961.2.a.j.1.7
2-31e2-1.1-c1-0-46 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.93989$ Modular form 961.2.a.f.1.2
2-31e2-1.1-c1-0-47 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.02136$ Modular form 961.2.a.l.1.4
2-31e2-1.1-c1-0-48 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.03060$ Modular form 961.2.a.a.1.2
2-31e2-1.1-c1-0-49 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.05782$ Modular form 961.2.a.k.1.10
2-31e2-1.1-c1-0-5 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.584248$ Modular form 961.2.a.k.1.3
2-31e2-1.1-c1-0-50 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.06877$ Modular form 961.2.a.h.1.4
2-31e2-1.1-c1-0-51 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.07103$ Modular form 961.2.a.l.1.12
2-31e2-1.1-c1-0-52 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.13011$ Modular form 961.2.a.k.1.12
2-31e2-1.1-c1-0-53 $2.77$ $7.67$ $2$ $31^{2}$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.14169$ Modular form 961.2.a.l.1.13
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