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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 (16 matches)

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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
2-429-429.311-c0-0-0 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.311 $0.0$ 0 ✓ ✓ $-0.396$ $0$ $1.11081$ Modular form 429.1.v.a.311.1
2-429-429.311-c0-0-1 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.311 $0.0$ 0 ✓ ✓ $-0.146$ $0$ $1.30437$ Modular form 429.1.v.c.311.1
2-429-429.311-c0-0-2 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.311 $0.0$ 0 ✓ ✓ $0.103$ $0$ $2.53536$ Modular form 429.1.v.b.311.1
2-429-429.311-c0-0-3 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.311 $0.0$ 0 ✓ ✓ $0.353$ $0$ $3.30515$ Modular form 429.1.v.c.311.2
2-429-429.350-c0-0-0 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.350 $0.0$ 0 ✓ ✓ $-0.357$ $0$ $1.27280$ Modular form 429.1.v.a.350.1
2-429-429.350-c0-0-1 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.350 $0.0$ 0 ✓ ✓ $0.142$ $0$ $1.99052$ Modular form 429.1.v.b.350.1
2-429-429.350-c0-0-2 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.350 $0.0$ 0 ✓ ✓ $-0.107$ $0$ $2.01248$ Modular form 429.1.v.c.350.1
2-429-429.350-c0-0-3 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.350 $0.0$ 0 ✓ ✓ $0.392$ $0$ $3.06899$ Modular form 429.1.v.c.350.2
2-429-429.38-c0-0-0 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.38 $0.0$ 0 ✓ ✓ $0.107$ $0$ $1.29084$ Modular form 429.1.v.c.38.1
2-429-429.38-c0-0-1 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.38 $0.0$ 0 ✓ ✓ $-0.142$ $0$ $1.38013$ Modular form 429.1.v.b.38.1
2-429-429.38-c0-0-2 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.38 $0.0$ 0 ✓ ✓ $-0.392$ $0$ $1.90755$ Modular form 429.1.v.c.38.2
2-429-429.38-c0-0-3 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.38 $0.0$ 0 ✓ ✓ $0.357$ $0$ $2.73249$ Modular form 429.1.v.a.38.1
2-429-429.389-c0-0-0 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.389 $0.0$ 0 ✓ ✓ $-0.353$ $0$ $1.20107$ Modular form 429.1.v.c.389.2
2-429-429.389-c0-0-1 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.389 $0.0$ 0 ✓ ✓ $0.146$ $0$ $1.77684$ Modular form 429.1.v.c.389.1
2-429-429.389-c0-0-2 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.389 $0.0$ 0 ✓ ✓ $0.396$ $0$ $2.18858$ Modular form 429.1.v.a.389.1
2-429-429.389-c0-0-3 $0.462$ $0.214$ $2$ $3 \cdot 11 \cdot 13$ 429.389 $0.0$ 0 ✓ ✓ $-0.103$ $0$ $2.38355$ Modular form 429.1.v.b.389.1
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