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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
2-230-1.1-c3-0-0 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.144434$ Modular form 230.4.a.h.1.1
2-230-1.1-c3-0-1 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.720912$ Modular form 230.4.a.g.1.1
2-230-1.1-c3-0-10 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $1.45467$ Modular form 230.4.a.c Modular form 230.4.a.c.1.1
2-230-1.1-c3-0-11 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $1.54999$ Modular form 230.4.a.a Modular form 230.4.a.a.1.1
2-230-1.1-c3-0-12 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.56068$ Modular form 230.4.a.i.1.3
2-230-1.1-c3-0-13 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.56116$ Modular form 230.4.a.j.1.2
2-230-1.1-c3-0-14 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $1.56218$ Modular form 230.4.a.f.1.1
2-230-1.1-c3-0-15 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.82426$ Modular form 230.4.a.j.1.3
2-230-1.1-c3-0-16 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.87860$ Modular form 230.4.a.i.1.4
2-230-1.1-c3-0-17 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.90438$ Modular form 230.4.a.j.1.4
2-230-1.1-c3-0-18 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.08033$ Modular form 230.4.a.b Modular form 230.4.a.b.1.1
2-230-1.1-c3-0-19 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0.5$ $1$ $2.11678$ Modular form 230.4.a.f.1.2
2-230-1.1-c3-0-2 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.761399$ Modular form 230.4.a.h.1.2
2-230-1.1-c3-0-20 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.49769$ Modular form 230.4.a.d Modular form 230.4.a.d.1.1
2-230-1.1-c3-0-21 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.58546$ Modular form 230.4.a.e Modular form 230.4.a.e.1.1
2-230-1.1-c3-0-3 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.841714$ Modular form 230.4.a.h.1.3
2-230-1.1-c3-0-4 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $0.867854$ Modular form 230.4.a.i.1.1
2-230-1.1-c3-0-5 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.10780$ Modular form 230.4.a.g.1.2
2-230-1.1-c3-0-6 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.16057$ Modular form 230.4.a.j.1.1
2-230-1.1-c3-0-7 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.19170$ Modular form 230.4.a.i.1.2
2-230-1.1-c3-0-8 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.23754$ Modular form 230.4.a.g.1.3
2-230-1.1-c3-0-9 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 1.1 $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.34557$ Modular form 230.4.a.h.1.4
2-230-115.102-c3-0-0 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.376$ $0$ $0.0374555$ Modular form 230.4.l.a.217.30
2-230-115.102-c3-0-1 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.400$ $0$ $0.0798655$ Modular form 230.4.l.a.217.20
2-230-115.102-c3-0-10 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0492$ $0$ $0.499556$ Modular form 230.4.l.a.217.22
2-230-115.102-c3-0-11 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.385$ $0$ $0.505950$ Modular form 230.4.l.a.217.3
2-230-115.102-c3-0-12 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.0526$ $0$ $0.524830$ Modular form 230.4.l.a.217.23
2-230-115.102-c3-0-13 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.233$ $0$ $0.581923$ Modular form 230.4.l.a.217.19
2-230-115.102-c3-0-14 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.122$ $0$ $0.706368$ Modular form 230.4.l.a.217.33
2-230-115.102-c3-0-15 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0419$ $0$ $0.735681$ Modular form 230.4.l.a.217.6
2-230-115.102-c3-0-16 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.337$ $0$ $0.744678$ Modular form 230.4.l.a.217.2
2-230-115.102-c3-0-17 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0151$ $0$ $0.773508$ Modular form 230.4.l.a.217.4
2-230-115.102-c3-0-18 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.199$ $0$ $0.861625$ Modular form 230.4.l.a.217.11
2-230-115.102-c3-0-19 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.0256$ $0$ $0.867046$ Modular form 230.4.l.a.217.27
2-230-115.102-c3-0-2 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.213$ $0$ $0.105534$ Modular form 230.4.l.a.217.5
2-230-115.102-c3-0-20 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.120$ $0$ $0.875683$ Modular form 230.4.l.a.217.25
2-230-115.102-c3-0-21 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.243$ $0$ $1.03390$ Modular form 230.4.l.a.217.12
2-230-115.102-c3-0-22 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.301$ $0$ $1.20154$ Modular form 230.4.l.a.217.24
2-230-115.102-c3-0-23 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.0340$ $0$ $1.38326$ Modular form 230.4.l.a.217.7
2-230-115.102-c3-0-24 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.395$ $0$ $1.43642$ Modular form 230.4.l.a.217.21
2-230-115.102-c3-0-25 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.155$ $0$ $1.43831$ Modular form 230.4.l.a.217.18
2-230-115.102-c3-0-26 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.212$ $0$ $1.64525$ Modular form 230.4.l.a.217.34
2-230-115.102-c3-0-27 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.140$ $0$ $1.70372$ Modular form 230.4.l.a.217.9
2-230-115.102-c3-0-28 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $-0.00278$ $0$ $1.77648$ Modular form 230.4.l.a.217.17
2-230-115.102-c3-0-29 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.244$ $0$ $1.78979$ Modular form 230.4.l.a.217.32
2-230-115.102-c3-0-3 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.492$ $0$ $0.186158$ Modular form 230.4.l.a.217.15
2-230-115.102-c3-0-30 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.312$ $0$ $1.84338$ Modular form 230.4.l.a.217.14
2-230-115.102-c3-0-31 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.191$ $0$ $1.91651$ Modular form 230.4.l.a.217.36
2-230-115.102-c3-0-32 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.117$ $0$ $2.00752$ Modular form 230.4.l.a.217.16
2-230-115.102-c3-0-33 $3.68$ $13.5$ $2$ $2 \cdot 5 \cdot 23$ 115.102 $3.0$ $3$ ✓ ✓ $0.435$ $0$ $2.19631$ Modular form 230.4.l.a.217.29
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