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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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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
2-409-1.1-c1-0-0 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.410124$ Modular form 409.2.a.b.1.11
2-409-1.1-c1-0-1 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.479045$ Modular form 409.2.a.b.1.2
2-409-1.1-c1-0-10 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.53961$ Modular form 409.2.a.b.1.4
2-409-1.1-c1-0-11 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.54422$ Modular form 409.2.a.a.1.5
2-409-1.1-c1-0-12 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.56161$ Modular form 409.2.a.b.1.19
2-409-1.1-c1-0-13 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.67401$ Modular form 409.2.a.a.1.1
2-409-1.1-c1-0-14 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.70419$ Modular form 409.2.a.b.1.12
2-409-1.1-c1-0-15 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.74112$ Modular form 409.2.a.b.1.7
2-409-1.1-c1-0-16 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.74828$ Modular form 409.2.a.a.1.6
2-409-1.1-c1-0-17 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $1.87032$ Modular form 409.2.a.a.1.4
2-409-1.1-c1-0-18 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.06927$ Modular form 409.2.a.b.1.16
2-409-1.1-c1-0-19 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.12820$ Modular form 409.2.a.a.1.3
2-409-1.1-c1-0-2 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.627929$ Modular form 409.2.a.b.1.5
2-409-1.1-c1-0-20 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.13840$ Modular form 409.2.a.b.1.13
2-409-1.1-c1-0-21 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.18269$ Modular form 409.2.a.b.1.18
2-409-1.1-c1-0-22 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.18330$ Modular form 409.2.a.b.1.20
2-409-1.1-c1-0-23 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.24441$ Modular form 409.2.a.a.1.2
2-409-1.1-c1-0-24 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.26183$ Modular form 409.2.a.a.1.7
2-409-1.1-c1-0-25 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.34314$ Modular form 409.2.a.a.1.11
2-409-1.1-c1-0-26 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.35060$ Modular form 409.2.a.b.1.17
2-409-1.1-c1-0-27 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $2.38743$ Modular form 409.2.a.b.1.15
2-409-1.1-c1-0-28 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.68730$ Modular form 409.2.a.a.1.8
2-409-1.1-c1-0-29 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.75782$ Modular form 409.2.a.a.1.9
2-409-1.1-c1-0-3 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.896300$ Modular form 409.2.a.b.1.9
2-409-1.1-c1-0-30 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.79932$ Modular form 409.2.a.a.1.10
2-409-1.1-c1-0-31 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $2.79977$ Modular form 409.2.a.a.1.13
2-409-1.1-c1-0-32 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0.5$ $1$ $3.18009$ Modular form 409.2.a.a.1.12
2-409-1.1-c1-0-4 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $0.939373$ Modular form 409.2.a.b.1.10
2-409-1.1-c1-0-5 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.03304$ Modular form 409.2.a.b.1.3
2-409-1.1-c1-0-6 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.15559$ Modular form 409.2.a.b.1.6
2-409-1.1-c1-0-7 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.34270$ Modular form 409.2.a.b.1.8
2-409-1.1-c1-0-8 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.41972$ Modular form 409.2.a.b.1.14
2-409-1.1-c1-0-9 $1.80$ $3.26$ $2$ $409$ 1.1 $1.0$ $1$ ✓ ✓ ✓ $0$ $0$ $1.46486$ Modular form 409.2.a.b.1.1
2-409-409.10-c1-0-0 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.0135$ $0$ $0.621690$ Modular form 409.2.o.a.10.2
2-409-409.10-c1-0-1 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.0314$ $0$ $0.644246$ Modular form 409.2.o.a.10.6
2-409-409.10-c1-0-10 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.186$ $0$ $1.47742$ Modular form 409.2.o.a.10.27
2-409-409.10-c1-0-11 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.224$ $0$ $1.50329$ Modular form 409.2.o.a.10.21
2-409-409.10-c1-0-12 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.0719$ $0$ $1.57533$ Modular form 409.2.o.a.10.19
2-409-409.10-c1-0-13 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.293$ $0$ $1.62110$ Modular form 409.2.o.a.10.23
2-409-409.10-c1-0-14 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.254$ $0$ $1.62964$ Modular form 409.2.o.a.10.13
2-409-409.10-c1-0-15 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.191$ $0$ $1.65712$ Modular form 409.2.o.a.10.28
2-409-409.10-c1-0-16 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.105$ $0$ $1.71262$ Modular form 409.2.o.a.10.29
2-409-409.10-c1-0-17 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.432$ $0$ $1.73724$ Modular form 409.2.o.a.10.34
2-409-409.10-c1-0-18 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.0475$ $0$ $1.74450$ Modular form 409.2.o.a.10.25
2-409-409.10-c1-0-19 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.145$ $0$ $1.81592$ Modular form 409.2.o.a.10.15
2-409-409.10-c1-0-2 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.254$ $0$ $0.710748$ Modular form 409.2.o.a.10.11
2-409-409.10-c1-0-20 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.0440$ $0$ $1.82523$ Modular form 409.2.o.a.10.16
2-409-409.10-c1-0-21 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.423$ $0$ $1.84517$ Modular form 409.2.o.a.10.7
2-409-409.10-c1-0-22 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $-0.0332$ $0$ $1.89052$ Modular form 409.2.o.a.10.24
2-409-409.10-c1-0-23 $1.80$ $3.26$ $2$ $409$ 409.10 $1.0$ $1$ ✓ ✓ $0.235$ $0$ $1.95664$ Modular form 409.2.o.a.10.18
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