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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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Results (45 matches)

Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-38-1.1-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $1.58422$ Modular form 38.4.a.b.1.1
2-38-1.1-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.14164$ Modular form 38.4.a.b.1.2
2-38-1.1-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $2.55507$ Modular form 38.4.a.c.1.1
2-38-1.1-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ $0$ $0$ $3.16303$ Modular form 38.4.a.c.1.2
2-38-1.1-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 1.1 $$ $3.0$ $3$ ✓ ✓ ✓ ✓ $0.5$ $1$ $3.44697$ Modular form 38.4.a.a Modular form 38.4.a.a.1.1
2-38-19.11-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.11 $$ $3.0$ $3$ ✓ ✓ $-0.468$ $0$ $0.609707$ Modular form 38.4.c.a.11.1
2-38-19.11-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.11 $$ $3.0$ $3$ ✓ ✓ $-0.255$ $0$ $0.951944$ Modular form 38.4.c.c.11.1
2-38-19.11-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.11 $$ $3.0$ $3$ ✓ ✓ $0.0677$ $0$ $2.61049$ Modular form 38.4.c.b.11.1
2-38-19.11-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.11 $$ $3.0$ $3$ ✓ ✓ $0.182$ $0$ $2.95712$ Modular form 38.4.c.c.11.2
2-38-19.11-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.11 $$ $3.0$ $3$ ✓ ✓ $0.239$ $0$ $3.66518$ Modular form 38.4.c.c.11.3
2-38-19.16-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.16 $$ $3.0$ $3$ ✓ ✓ $-0.233$ $0$ $0.765302$ Modular form 38.4.e.b.35.1
2-38-19.16-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.16 $$ $3.0$ $3$ ✓ ✓ $-0.326$ $0$ $1.06648$ Modular form 38.4.e.a.35.1
2-38-19.16-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.16 $$ $3.0$ $3$ ✓ ✓ $-0.0571$ $0$ $2.61519$ Modular form 38.4.e.a.35.2
2-38-19.16-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.16 $$ $3.0$ $3$ ✓ ✓ $0.133$ $0$ $2.71196$ Modular form 38.4.e.b.35.3
2-38-19.16-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.16 $$ $3.0$ $3$ ✓ ✓ $0.298$ $0$ $2.89962$ Modular form 38.4.e.b.35.2
2-38-19.17-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.17 $$ $3.0$ $3$ ✓ ✓ $0.467$ $0$ $0.145111$ Modular form 38.4.e.b.17.2
2-38-19.17-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.17 $$ $3.0$ $3$ ✓ ✓ $-0.242$ $0$ $1.84987$ Modular form 38.4.e.b.17.3
2-38-19.17-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.17 $$ $3.0$ $3$ ✓ ✓ $0.109$ $0$ $2.58992$ Modular form 38.4.e.a.17.2
2-38-19.17-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.17 $$ $3.0$ $3$ ✓ ✓ $0.181$ $0$ $2.72897$ Modular form 38.4.e.b.17.1
2-38-19.17-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.17 $$ $3.0$ $3$ ✓ ✓ $0.445$ $0$ $4.20506$ Modular form 38.4.e.a.17.1
2-38-19.4-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.4 $$ $3.0$ $3$ ✓ ✓ $-0.188$ $0$ $1.84255$ Modular form 38.4.e.b.23.3
2-38-19.4-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.4 $$ $3.0$ $3$ ✓ ✓ $-0.112$ $0$ $2.17650$ Modular form 38.4.e.b.23.2
2-38-19.4-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.4 $$ $3.0$ $3$ ✓ ✓ $0.124$ $0$ $2.22922$ Modular form 38.4.e.a.23.2
2-38-19.4-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.4 $$ $3.0$ $3$ ✓ ✓ $0.129$ $0$ $3.25787$ Modular form 38.4.e.b.23.1
2-38-19.4-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.4 $$ $3.0$ $3$ ✓ ✓ $-0.494$ $0$ $4.16375$ Modular form 38.4.e.a.23.1
2-38-19.5-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.5 $$ $3.0$ $3$ ✓ ✓ $0.494$ $0$ $0.437921$ Modular form 38.4.e.a.5.1
2-38-19.5-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.5 $$ $3.0$ $3$ ✓ ✓ $-0.124$ $0$ $1.50395$ Modular form 38.4.e.a.5.2
2-38-19.5-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.5 $$ $3.0$ $3$ ✓ ✓ $-0.129$ $0$ $1.84816$ Modular form 38.4.e.b.5.1
2-38-19.5-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.5 $$ $3.0$ $3$ ✓ ✓ $0.112$ $0$ $3.02797$ Modular form 38.4.e.b.5.2
2-38-19.5-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.5 $$ $3.0$ $3$ ✓ ✓ $0.188$ $0$ $3.71536$ Modular form 38.4.e.b.5.3
2-38-19.6-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.6 $$ $3.0$ $3$ ✓ ✓ $-0.298$ $0$ $0.992084$ Modular form 38.4.e.b.25.2
2-38-19.6-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.6 $$ $3.0$ $3$ ✓ ✓ $-0.133$ $0$ $2.13218$ Modular form 38.4.e.b.25.3
2-38-19.6-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.6 $$ $3.0$ $3$ ✓ ✓ $0.233$ $0$ $2.68927$ Modular form 38.4.e.b.25.1
2-38-19.6-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.6 $$ $3.0$ $3$ ✓ ✓ $0.0571$ $0$ $2.77174$ Modular form 38.4.e.a.25.2
2-38-19.6-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.6 $$ $3.0$ $3$ ✓ ✓ $0.326$ $0$ $3.72296$ Modular form 38.4.e.a.25.1
2-38-19.7-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.7 $$ $3.0$ $3$ ✓ ✓ $-0.0677$ $0$ $1.62139$ Modular form 38.4.c.b.7.1
2-38-19.7-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.7 $$ $3.0$ $3$ ✓ ✓ $-0.182$ $0$ $1.73580$ Modular form 38.4.c.c.7.2
2-38-19.7-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.7 $$ $3.0$ $3$ ✓ ✓ $-0.239$ $0$ $1.83199$ Modular form 38.4.c.c.7.3
2-38-19.7-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.7 $$ $3.0$ $3$ ✓ ✓ $0.255$ $0$ $3.63241$ Modular form 38.4.c.c.7.1
2-38-19.7-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.7 $$ $3.0$ $3$ ✓ ✓ $0.468$ $0$ $3.91136$ Modular form 38.4.c.a.7.1
2-38-19.9-c3-0-0 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.9 $$ $3.0$ $3$ ✓ ✓ $-0.445$ $0$ $0.725007$ Modular form 38.4.e.a.9.1
2-38-19.9-c3-0-1 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.9 $$ $3.0$ $3$ ✓ ✓ $-0.181$ $0$ $0.989173$ Modular form 38.4.e.b.9.1
2-38-19.9-c3-0-2 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.9 $$ $3.0$ $3$ ✓ ✓ $-0.109$ $0$ $2.15254$ Modular form 38.4.e.a.9.2
2-38-19.9-c3-0-3 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.9 $$ $3.0$ $3$ ✓ ✓ $0.242$ $0$ $3.36763$ Modular form 38.4.e.b.9.3
2-38-19.9-c3-0-4 $1.49$ $2.24$ $2$ $2 \cdot 19$ 19.9 $$ $3.0$ $3$ ✓ ✓ $-0.467$ $0$ $4.02614$ Modular form 38.4.e.b.9.2