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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 (19 matches)

  displayed columns for results
Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-1584-11.10-c0-0-0 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 11.10 $0.0$ 0 ✓ ✓ ✓ ✓ $0$ $0$ $1.44007$ Artin representation 2.1584.6t3.b Artin representation 2.1584.6t3.b.a Modular form 1584.1.j.a Modular form 1584.1.j.a.1297.1
2-1584-396.131-c0-0-0 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.131 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $0.965876$ Modular form 1584.1.bk.b.527.1
2-1584-396.131-c0-0-1 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.131 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.14117$ Modular form 1584.1.bk.c.527.1
2-1584-396.131-c0-0-2 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.131 $0.0$ 0 ✓ ✓ $0.138$ $0$ $1.31217$ Modular form 1584.1.bk.a.527.1
2-1584-396.131-c0-0-3 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.131 $0.0$ 0 ✓ ✓ $-0.194$ $0$ $1.40167$ Modular form 1584.1.bk.e.527.1
2-1584-396.131-c0-0-4 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.131 $0.0$ 0 ✓ ✓ $-0.0277$ $0$ $1.44406$ Modular form 1584.1.bk.f.527.1
2-1584-396.131-c0-0-5 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.131 $0.0$ 0 ✓ ✓ $0.472$ $0$ $2.40455$ Modular form 1584.1.bk.d.527.1
2-1584-396.263-c0-0-0 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.263 $0.0$ 0 ✓ ✓ $-0.472$ $0$ $0.458518$ Modular form 1584.1.bk.d.1055.1
2-1584-396.263-c0-0-1 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.263 $0.0$ 0 ✓ ✓ $-0.138$ $0$ $0.761677$ Modular form 1584.1.bk.a.1055.1
2-1584-396.263-c0-0-2 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.263 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $0.861118$ Modular form 1584.1.bk.b.1055.1
2-1584-396.263-c0-0-3 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.263 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $1.64718$ Modular form 1584.1.bk.f.1055.1
2-1584-396.263-c0-0-4 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.263 $0.0$ 0 ✓ ✓ $0.0277$ $0$ $1.67679$ Modular form 1584.1.bk.c.1055.1
2-1584-396.263-c0-0-5 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 396.263 $0.0$ 0 ✓ ✓ $0.194$ $0$ $1.99442$ Modular form 1584.1.bk.e.1055.1
2-1584-99.43-c0-0-0 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 99.43 $0.0$ 0 ✓ ✓ $-0.222$ $0$ $1.20285$ Artin representation 2.1584.12t18.f.a Modular form 1584.1.bf.b.241.1
2-1584-99.43-c0-0-1 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 99.43 $0.0$ 0 ✓ ✓ $0.111$ $0$ $1.61529$ Artin representation 2.1584.12t18.b.b Modular form 1584.1.bf.c.241.1
2-1584-99.43-c0-0-2 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 99.43 $0.0$ 0 ✓ ✓ $0.444$ $0$ $1.88584$ Artin representation 2.1584.12t18.c.b Modular form 1584.1.bf.a.241.1
2-1584-99.76-c0-0-0 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 99.76 $0.0$ 0 ✓ ✓ $-0.444$ $0$ $0.407951$ Artin representation 2.1584.12t18.c.a Modular form 1584.1.bf.a.769.1
2-1584-99.76-c0-0-1 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 99.76 $0.0$ 0 ✓ ✓ $-0.111$ $0$ $1.28337$ Artin representation 2.1584.12t18.b.a Modular form 1584.1.bf.c.769.1
2-1584-99.76-c0-0-2 $0.889$ $0.790$ $2$ $2^{4} \cdot 3^{2} \cdot 11$ 99.76 $0.0$ 0 ✓ ✓ $0.222$ $0$ $1.88402$ Artin representation 2.1584.12t18.f.b Modular form 1584.1.bf.b.769.1
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