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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 (1-50 of at least 1000)

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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
2-38-1.1-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $2.99432$ Elliptic curve 38.a Modular form 38.2.a.a Modular form 38.2.a.a.1.1
2-38-1.1-c1-0-1 $0.550$ $0.303$ $2$ $2 \cdot 19$ 1.1 $$ $1.0$ $1$ ✓ ✓ ✓ ✓ $0$ $0$ $3.86057$ Elliptic curve 38.b Modular form 38.2.a.b Modular form 38.2.a.b.1.1
2-38-19.11-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.11 $$ $1.0$ $1$ ✓ ✓ $-0.221$ $0$ $2.03226$ Modular form 38.2.c.b.11.1
2-38-19.11-c1-0-1 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.11 $$ $1.0$ $1$ ✓ ✓ $-0.0134$ $0$ $3.58445$ Modular form 38.2.c.b.11.2
2-38-19.11-c1-0-2 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.11 $$ $1.0$ $1$ ✓ ✓ $0.0677$ $0$ $3.82596$ Modular form 38.2.c.a.11.1
2-38-19.16-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.16 $$ $1.0$ $1$ ✓ ✓ $-0.0869$ $0$ $3.12577$ Modular form 38.2.e.a.35.1
2-38-19.17-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.17 $$ $1.0$ $1$ ✓ ✓ $0.0988$ $0$ $4.01573$ Modular form 38.2.e.a.17.1
2-38-19.4-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.4 $$ $1.0$ $1$ ✓ ✓ $0.147$ $0$ $3.82543$ Modular form 38.2.e.a.23.1
2-38-19.5-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.5 $$ $1.0$ $1$ ✓ ✓ $-0.147$ $0$ $2.19412$ Modular form 38.2.e.a.5.1
2-38-19.6-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.6 $$ $1.0$ $1$ ✓ ✓ $0.0869$ $0$ $4.28187$ Modular form 38.2.e.a.25.1
2-38-19.7-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.7 $$ $1.0$ $1$ ✓ ✓ $0.0134$ $0$ $3.06943$ Modular form 38.2.c.b.7.2
2-38-19.7-c1-0-1 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.7 $$ $1.0$ $1$ ✓ ✓ $-0.0677$ $0$ $3.35984$ Modular form 38.2.c.a.7.1
2-38-19.7-c1-0-2 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.7 $$ $1.0$ $1$ ✓ ✓ $0.221$ $0$ $4.89459$ Modular form 38.2.c.b.7.1
2-38-19.9-c1-0-0 $0.550$ $0.303$ $2$ $2 \cdot 19$ 19.9 $$ $1.0$ $1$ ✓ ✓ $-0.0988$ $0$ $3.12877$ Modular form 38.2.e.a.9.1
2-38-19.10-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.10 $$ $2.0$ $2$ ✓ ✓ $-0.0647$ $0$ $2.05550$ Modular form 38.3.f.a.29.2
2-38-19.10-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.10 $$ $2.0$ $2$ ✓ ✓ $-0.00598$ $0$ $3.08439$ Modular form 38.3.f.a.29.4
2-38-19.10-c2-0-2 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.10 $$ $2.0$ $2$ ✓ ✓ $0.335$ $0$ $3.76169$ Modular form 38.3.f.a.29.1
2-38-19.10-c2-0-3 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.10 $$ $2.0$ $2$ ✓ ✓ $0.172$ $0$ $4.05570$ Modular form 38.3.f.a.29.3
2-38-19.12-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.12 $$ $2.0$ $2$ ✓ ✓ $-0.00296$ $0$ $2.62235$ Modular form 38.3.d.a.31.1
2-38-19.12-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.12 $$ $2.0$ $2$ ✓ ✓ $0.0707$ $0$ $3.34959$ Modular form 38.3.d.a.31.2
2-38-19.13-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.13 $$ $2.0$ $2$ ✓ ✓ $-0.203$ $0$ $1.26769$ Modular form 38.3.f.a.13.1
2-38-19.13-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.13 $$ $2.0$ $2$ ✓ ✓ $-0.183$ $0$ $2.14055$ Modular form 38.3.f.a.13.3
2-38-19.13-c2-0-2 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.13 $$ $2.0$ $2$ ✓ ✓ $0.00727$ $0$ $3.45379$ Modular form 38.3.f.a.13.4
2-38-19.13-c2-0-3 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.13 $$ $2.0$ $2$ ✓ ✓ $0.236$ $0$ $3.56466$ Modular form 38.3.f.a.13.2
2-38-19.14-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.14 $$ $2.0$ $2$ ✓ ✓ $-0.151$ $0$ $2.24567$ Modular form 38.3.f.a.33.3
2-38-19.14-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.14 $$ $2.0$ $2$ ✓ ✓ $-0.116$ $0$ $2.83885$ Modular form 38.3.f.a.33.4
2-38-19.14-c2-0-2 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.14 $$ $2.0$ $2$ ✓ ✓ $0.0938$ $0$ $2.98981$ Modular form 38.3.f.a.33.2
2-38-19.14-c2-0-3 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.14 $$ $2.0$ $2$ ✓ ✓ $0.463$ $0$ $4.80799$ Modular form 38.3.f.a.33.1
2-38-19.15-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.15 $$ $2.0$ $2$ ✓ ✓ $-0.463$ $0$ $0.535274$ Modular form 38.3.f.a.15.1
2-38-19.15-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.15 $$ $2.0$ $2$ ✓ ✓ $-0.0938$ $0$ $2.61989$ Modular form 38.3.f.a.15.2
2-38-19.15-c2-0-2 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.15 $$ $2.0$ $2$ ✓ ✓ $0.151$ $0$ $3.42241$ Modular form 38.3.f.a.15.3
2-38-19.15-c2-0-3 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.15 $$ $2.0$ $2$ ✓ ✓ $0.116$ $0$ $3.57526$ Modular form 38.3.f.a.15.4
2-38-19.18-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.18 $$ $2.0$ $2$ ✓ ✓ $-0.250$ $0$ $1.80246$ Modular form 38.3.b.a.37.2
2-38-19.18-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.18 $$ $2.0$ $2$ ✓ ✓ $0.250$ $0$ $4.05897$ Modular form 38.3.b.a.37.1
2-38-19.2-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.2 $$ $2.0$ $2$ ✓ ✓ $-0.335$ $0$ $0.760905$ Modular form 38.3.f.a.21.1
2-38-19.2-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.2 $$ $2.0$ $2$ ✓ ✓ $-0.172$ $0$ $1.99744$ Modular form 38.3.f.a.21.3
2-38-19.2-c2-0-2 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.2 $$ $2.0$ $2$ ✓ ✓ $0.0647$ $0$ $2.53563$ Modular form 38.3.f.a.21.2
2-38-19.2-c2-0-3 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.2 $$ $2.0$ $2$ ✓ ✓ $0.00598$ $0$ $3.29824$ Modular form 38.3.f.a.21.4
2-38-19.3-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.3 $$ $2.0$ $2$ ✓ ✓ $-0.236$ $0$ $1.66463$ Modular form 38.3.f.a.3.2
2-38-19.3-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.3 $$ $2.0$ $2$ ✓ ✓ $-0.00727$ $0$ $2.73583$ Modular form 38.3.f.a.3.4
2-38-19.3-c2-0-2 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.3 $$ $2.0$ $2$ ✓ ✓ $0.203$ $0$ $3.52521$ Modular form 38.3.f.a.3.1
2-38-19.3-c2-0-3 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.3 $$ $2.0$ $2$ ✓ ✓ $0.183$ $0$ $3.97988$ Modular form 38.3.f.a.3.3
2-38-19.8-c2-0-0 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.8 $$ $2.0$ $2$ ✓ ✓ $0.00296$ $0$ $2.37116$ Modular form 38.3.d.a.27.1
2-38-19.8-c2-0-1 $1.01$ $1.03$ $2$ $2 \cdot 19$ 19.8 $$ $2.0$ $2$ ✓ ✓ $-0.0707$ $0$ $2.77921$ Modular form 38.3.d.a.27.2
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
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