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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
2-245-1.1-c3-0-0 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.345621$ Modular form 245.4.a.m.1.1
2-245-1.1-c3-0-1 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.459827$ Modular form 245.4.a.p.1.2
2-245-1.1-c3-0-10 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.969431$ Modular form 245.4.a.m.1.2
2-245-1.1-c3-0-11 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.984309$ Modular form 245.4.a.p.1.5
2-245-1.1-c3-0-12 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.00044$ Modular form 245.4.a.n.1.3
2-245-1.1-c3-0-13 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.07303$ Modular form 245.4.a.j.1.1
2-245-1.1-c3-0-14 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.12835$ Modular form 245.4.a.l.1.2
2-245-1.1-c3-0-15 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.23704$ Modular form 245.4.a.n.1.1
2-245-1.1-c3-0-16 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.28527$ Modular form 245.4.a.p.1.3
2-245-1.1-c3-0-17 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.31414$ Modular form 245.4.a.h.1.1
2-245-1.1-c3-0-18 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.31984$ Modular form 245.4.a.i.1.1
2-245-1.1-c3-0-19 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.35173$ Modular form 245.4.a.o.1.3
2-245-1.1-c3-0-2 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.481929$ Modular form 245.4.a.n.1.2
2-245-1.1-c3-0-20 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.40143$ Modular form 245.4.a.o.1.1
2-245-1.1-c3-0-21 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.43668$ Modular form 245.4.a.d Modular form 245.4.a.d.1.1
2-245-1.1-c3-0-22 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.45103$ Modular form 245.4.a.g.1.2
2-245-1.1-c3-0-23 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.55888$ Modular form 245.4.a.n.1.5
2-245-1.1-c3-0-24 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.79914$ Modular form 245.4.a.g.1.1
2-245-1.1-c3-0-25 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.80701$ Modular form 245.4.a.o.1.2
2-245-1.1-c3-0-26 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.88561$ Modular form 245.4.a.j.1.2
2-245-1.1-c3-0-27 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.93756$ Modular form 245.4.a.h.1.2
2-245-1.1-c3-0-28 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.02753$ Modular form 245.4.a.l.1.1
2-245-1.1-c3-0-29 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.03048$ Modular form 245.4.a.m.1.5
2-245-1.1-c3-0-3 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.617694$ Modular form 245.4.a.p.1.4
2-245-1.1-c3-0-30 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.07317$ Modular form 245.4.a.n.1.4
2-245-1.1-c3-0-31 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.16401$ Modular form 245.4.a.p.1.6
2-245-1.1-c3-0-32 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.23433$ Modular form 245.4.a.o.1.5
2-245-1.1-c3-0-33 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.26463$ Modular form 245.4.a.o.1.6
2-245-1.1-c3-0-34 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.33418$ Modular form 245.4.a.o.1.4
2-245-1.1-c3-0-35 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.35078$ Modular form 245.4.a.k.1.2
2-245-1.1-c3-0-36 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.41466$ Modular form 245.4.a.e Modular form 245.4.a.e.1.1
2-245-1.1-c3-0-37 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.42548$ Modular form 245.4.a.c Modular form 245.4.a.c.1.1
2-245-1.1-c3-0-38 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.47739$ Modular form 245.4.a.i.1.2
2-245-1.1-c3-0-39 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.55146$ Modular form 245.4.a.l.1.3
2-245-1.1-c3-0-4 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.671304$ Modular form 245.4.a.m.1.3
2-245-1.1-c3-0-40 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.70471$ Modular form 245.4.a.f Modular form 245.4.a.f.1.1
2-245-1.1-c3-0-5 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $0.707601$ Modular form 245.4.a.b Modular form 245.4.a.b.1.1
2-245-1.1-c3-0-6 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $0.777846$ Modular form 245.4.a.a Modular form 245.4.a.a.1.1
2-245-1.1-c3-0-7 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.893047$ Modular form 245.4.a.p.1.1
2-245-1.1-c3-0-8 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.928496$ Modular form 245.4.a.k.1.1
2-245-1.1-c3-0-9 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.948381$ Modular form 245.4.a.m.1.4
2-245-245.103-c3-0-0 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $0.439$ $0$ $0.00634504$ Modular form 245.4.x.a.103.7
2-245-245.103-c3-0-1 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $0.414$ $0$ $0.0772424$ Modular form 245.4.x.a.103.9
2-245-245.103-c3-0-10 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $-0.148$ $0$ $0.216098$ Modular form 245.4.x.a.103.79
2-245-245.103-c3-0-11 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $-0.203$ $0$ $0.222286$ Modular form 245.4.x.a.103.67
2-245-245.103-c3-0-12 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $0.397$ $0$ $0.222669$ Modular form 245.4.x.a.103.6
2-245-245.103-c3-0-13 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $0.316$ $0$ $0.236682$ Modular form 245.4.x.a.103.15
2-245-245.103-c3-0-14 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $0.469$ $0$ $0.240209$ Modular form 245.4.x.a.103.26
2-245-245.103-c3-0-15 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $-0.462$ $0$ $0.254204$ Modular form 245.4.x.a.103.37
2-245-245.103-c3-0-16 $3.80$ $14.4$ $2$ $5 \cdot 7^{2}$ 245.103 $3.0$ $3$ ✓ ✓ $-0.317$ $0$ $0.266694$ Modular form 245.4.x.a.103.55
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