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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
2-232-1.1-c1-0-0 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.34872$ Modular form 232.2.a.d.1.1
2-232-1.1-c1-0-1 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $1.86240$ Elliptic curve 232.b Modular form 232.2.a.b Modular form 232.2.a.b.1.1
2-232-1.1-c1-0-2 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.01856$ Modular form 232.2.a.d.1.3
2-232-1.1-c1-0-3 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.14299$ Modular form 232.2.a.d.1.2
2-232-1.1-c1-0-4 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.54992$ Modular form 232.2.a.c.1.1
2-232-1.1-c1-0-5 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ ✓ $0.5$ $1$ $2.72675$ Elliptic curve 232.a Modular form 232.2.a.a Modular form 232.2.a.a.1.1
2-232-1.1-c1-0-6 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.23564$ Modular form 232.2.a.c.1.2
2-232-232.109-c1-0-0 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.435$ $0$ $0.00241668$ Modular form 232.2.o.a.109.24
2-232-232.109-c1-0-1 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.179$ $0$ $0.119533$ Modular form 232.2.o.a.109.14
2-232-232.109-c1-0-10 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.111$ $0$ $1.72131$ Modular form 232.2.o.a.109.11
2-232-232.109-c1-0-11 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.0645$ $0$ $1.72895$ Modular form 232.2.o.a.109.6
2-232-232.109-c1-0-12 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.282$ $0$ $1.76230$ Modular form 232.2.o.a.109.17
2-232-232.109-c1-0-13 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.0351$ $0$ $1.77458$ Modular form 232.2.o.a.109.13
2-232-232.109-c1-0-14 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.319$ $0$ $1.77722$ Modular form 232.2.o.a.109.2
2-232-232.109-c1-0-15 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.0849$ $0$ $1.90866$ Modular form 232.2.o.a.109.16
2-232-232.109-c1-0-16 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.00501$ $0$ $1.92053$ Modular form 232.2.o.a.109.5
2-232-232.109-c1-0-17 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.149$ $0$ $2.03819$ Modular form 232.2.o.a.109.23
2-232-232.109-c1-0-18 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.311$ $0$ $2.08543$ Modular form 232.2.o.a.109.3
2-232-232.109-c1-0-19 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.0259$ $0$ $2.09304$ Modular form 232.2.o.a.109.27
2-232-232.109-c1-0-2 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.362$ $0$ $0.136872$ Modular form 232.2.o.a.109.10
2-232-232.109-c1-0-20 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.268$ $0$ $2.19858$ Modular form 232.2.o.a.109.15
2-232-232.109-c1-0-21 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.278$ $0$ $2.28957$ Modular form 232.2.o.a.109.18
2-232-232.109-c1-0-22 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.0499$ $0$ $2.31576$ Modular form 232.2.o.a.109.28
2-232-232.109-c1-0-23 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.157$ $0$ $2.40665$ Modular form 232.2.o.a.109.25
2-232-232.109-c1-0-24 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.331$ $0$ $2.42307$ Modular form 232.2.o.a.109.7
2-232-232.109-c1-0-25 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.289$ $0$ $2.69008$ Modular form 232.2.o.a.109.26
2-232-232.109-c1-0-26 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.155$ $0$ $2.76918$ Modular form 232.2.o.a.109.20
2-232-232.109-c1-0-27 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.483$ $0$ $3.25771$ Modular form 232.2.o.a.109.19
2-232-232.109-c1-0-3 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.324$ $0$ $0.339389$ Modular form 232.2.o.a.109.1
2-232-232.109-c1-0-4 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.125$ $0$ $0.788489$ Modular form 232.2.o.a.109.9
2-232-232.109-c1-0-5 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.245$ $0$ $1.02383$ Modular form 232.2.o.a.109.21
2-232-232.109-c1-0-6 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.233$ $0$ $1.25965$ Modular form 232.2.o.a.109.4
2-232-232.109-c1-0-7 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.293$ $0$ $1.33219$ Modular form 232.2.o.a.109.22
2-232-232.109-c1-0-8 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $-0.256$ $0$ $1.47455$ Modular form 232.2.o.a.109.12
2-232-232.109-c1-0-9 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.109 $1.0$ $1$ ✓ ✓ $0.230$ $0$ $1.49839$ Modular form 232.2.o.a.109.8
2-232-232.11-c1-0-0 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.361$ $0$ $0.455184$ Modular form 232.2.v.a.11.13
2-232-232.11-c1-0-1 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $-0.209$ $0$ $0.748011$ Modular form 232.2.v.a.11.3
2-232-232.11-c1-0-10 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.0993$ $0$ $1.57178$ Modular form 232.2.v.a.11.2
2-232-232.11-c1-0-11 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.170$ $0$ $1.60683$ Modular form 232.2.v.a.11.11
2-232-232.11-c1-0-12 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $-0.138$ $0$ $1.66258$ Modular form 232.2.v.a.11.24
2-232-232.11-c1-0-13 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.192$ $0$ $1.66867$ Modular form 232.2.v.a.11.5
2-232-232.11-c1-0-14 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.118$ $0$ $1.79540$ Modular form 232.2.v.a.11.7
2-232-232.11-c1-0-15 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $-0.0788$ $0$ $1.85011$ Modular form 232.2.v.a.11.22
2-232-232.11-c1-0-16 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $-0.0398$ $0$ $2.03197$ Modular form 232.2.v.a.11.25
2-232-232.11-c1-0-17 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $-0.0476$ $0$ $2.05142$ Modular form 232.2.v.a.11.28
2-232-232.11-c1-0-18 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.119$ $0$ $2.15598$ Modular form 232.2.v.a.11.23
2-232-232.11-c1-0-19 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.440$ $0$ $2.25465$ Modular form 232.2.v.a.11.10
2-232-232.11-c1-0-2 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $-0.242$ $0$ $1.19896$ Modular form 232.2.v.a.11.6
2-232-232.11-c1-0-20 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.194$ $0$ $2.27910$ Modular form 232.2.v.a.11.14
2-232-232.11-c1-0-21 $1.36$ $1.85$ $2$ $2^{3} \cdot 29$ 232.11 $1.0$ $1$ ✓ ✓ $0.257$ $0$ $2.62486$ Modular form 232.2.v.a.11.18
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