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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-10-5.2-c2-0-0 $0.521$ $0.272$ $2$ $2 \cdot 5$ 5.2 $2.0$ $2$ ✓ ✓ $0.0368$ $0$ $6.19183$ Modular form 10.3.c.a.7.1
2-10-5.3-c2-0-0 $0.521$ $0.272$ $2$ $2 \cdot 5$ 5.3 $2.0$ $2$ ✓ ✓ $-0.0368$ $0$ $5.03540$ Modular form 10.3.c.a.3.1
2-10-1.1-c3-0-0 $0.768$ $0.590$ $2$ $2 \cdot 5$ 1.1 $3.0$ $3$ ✓ ✓ ✓ ✓ $0$ $0$ $5.12936$ Modular form 10.4.a.a Modular form 10.4.a.a.1.1
2-10-5.4-c3-0-0 $0.768$ $0.590$ $2$ $2 \cdot 5$ 5.4 $3.0$ $3$ ✓ ✓ $-0.0737$ $0$ $3.96135$ Modular form 10.4.b.a.9.2
2-10-5.4-c3-0-1 $0.768$ $0.590$ $2$ $2 \cdot 5$ 5.4 $3.0$ $3$ ✓ ✓ $0.0737$ $0$ $5.30666$ Modular form 10.4.b.a.9.1
2-10-5.2-c4-0-0 $1.01$ $1.03$ $2$ $2 \cdot 5$ 5.2 $4.0$ $4$ ✓ ✓ $-0.0655$ $0$ $3.59263$ Modular form 10.5.c.b.7.1
2-10-5.2-c4-0-1 $1.01$ $1.03$ $2$ $2 \cdot 5$ 5.2 $4.0$ $4$ ✓ ✓ $0.139$ $0$ $4.46846$ Modular form 10.5.c.a.7.1
2-10-5.3-c4-0-0 $1.01$ $1.03$ $2$ $2 \cdot 5$ 5.3 $4.0$ $4$ ✓ ✓ $-0.139$ $0$ $2.63299$ Modular form 10.5.c.a.3.1
2-10-5.3-c4-0-1 $1.01$ $1.03$ $2$ $2 \cdot 5$ 5.3 $4.0$ $4$ ✓ ✓ $0.0655$ $0$ $4.48822$ Modular form 10.5.c.b.3.1
2-10-1.1-c5-0-0 $1.26$ $1.60$ $2$ $2 \cdot 5$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0$ $0$ $2.80721$ Modular form 10.6.a.b Modular form 10.6.a.b.1.1
2-10-1.1-c5-0-1 $1.26$ $1.60$ $2$ $2 \cdot 5$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0$ $0$ $3.52461$ Modular form 10.6.a.c Modular form 10.6.a.c.1.1
2-10-1.1-c5-0-2 $1.26$ $1.60$ $2$ $2 \cdot 5$ 1.1 $5.0$ $5$ ✓ ✓ ✓ ✓ $0.5$ $1$ $5.52108$ Modular form 10.6.a.a Modular form 10.6.a.a.1.1
2-10-5.4-c5-0-0 $1.26$ $1.60$ $2$ $2 \cdot 5$ 5.4 $5.0$ $5$ ✓ ✓ $-0.221$ $0$ $2.02947$ Modular form 10.6.b.a.9.2
2-10-5.4-c5-0-1 $1.26$ $1.60$ $2$ $2 \cdot 5$ 5.4 $5.0$ $5$ ✓ ✓ $0.221$ $0$ $4.58996$ Modular form 10.6.b.a.9.1
2-10-5.2-c6-0-0 $1.51$ $2.30$ $2$ $2 \cdot 5$ 5.2 $6.0$ $6$ ✓ ✓ $-0.360$ $0$ $0.457199$ Modular form 10.7.c.a.7.1
2-10-5.2-c6-0-1 $1.51$ $2.30$ $2$ $2 \cdot 5$ 5.2 $6.0$ $6$ ✓ ✓ $-0.289$ $0$ $1.46282$ Modular form 10.7.c.b.7.1
2-10-5.2-c6-0-2 $1.51$ $2.30$ $2$ $2 \cdot 5$ 5.2 $6.0$ $6$ ✓ ✓ $-0.0343$ $0$ $3.01792$ Modular form 10.7.c.b.7.2
2-10-5.3-c6-0-0 $1.51$ $2.30$ $2$ $2 \cdot 5$ 5.3 $6.0$ $6$ ✓ ✓ $0.0343$ $0$ $3.03301$ Modular form 10.7.c.b.3.2
2-10-5.3-c6-0-1 $1.51$ $2.30$ $2$ $2 \cdot 5$ 5.3 $6.0$ $6$ ✓ ✓ $0.360$ $0$ $3.97447$ Modular form 10.7.c.a.3.1
2-10-5.3-c6-0-2 $1.51$ $2.30$ $2$ $2 \cdot 5$ 5.3 $6.0$ $6$ ✓ ✓ $0.289$ $0$ $4.81669$ Modular form 10.7.c.b.3.1
2-10-1.1-c7-0-0 $1.76$ $3.12$ $2$ $2 \cdot 5$ 1.1 $7.0$ $7$ ✓ ✓ ✓ ✓ $0$ $0$ $2.76264$ Modular form 10.8.a.a Modular form 10.8.a.a.1.1
2-10-5.4-c7-0-0 $1.76$ $3.12$ $2$ $2 \cdot 5$ 5.4 $7.0$ $7$ ✓ ✓ $-0.366$ $0$ $1.05704$ Modular form 10.8.b.a.9.4
2-10-5.4-c7-0-1 $1.76$ $3.12$ $2$ $2 \cdot 5$ 5.4 $7.0$ $7$ ✓ ✓ $-0.161$ $0$ $1.37003$ Modular form 10.8.b.a.9.2
2-10-5.4-c7-0-2 $1.76$ $3.12$ $2$ $2 \cdot 5$ 5.4 $7.0$ $7$ ✓ ✓ $0.161$ $0$ $3.25971$ Modular form 10.8.b.a.9.3
2-10-5.4-c7-0-3 $1.76$ $3.12$ $2$ $2 \cdot 5$ 5.4 $7.0$ $7$ ✓ ✓ $0.366$ $0$ $4.09086$ Modular form 10.8.b.a.9.1
2-10-5.2-c8-0-0 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.2 $8.0$ $8$ ✓ ✓ $-0.352$ $0$ $0.986585$ Modular form 10.9.c.b.7.1
2-10-5.2-c8-0-1 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.2 $8.0$ $8$ ✓ ✓ $-0.126$ $0$ $1.09122$ Modular form 10.9.c.a.7.1
2-10-5.2-c8-0-2 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.2 $8.0$ $8$ ✓ ✓ $0.0283$ $0$ $2.84166$ Modular form 10.9.c.b.7.2
2-10-5.2-c8-0-3 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.2 $8.0$ $8$ ✓ ✓ $0.393$ $0$ $3.43396$ Modular form 10.9.c.a.7.2
2-10-5.3-c8-0-0 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.3 $8.0$ $8$ ✓ ✓ $-0.393$ $0$ $0.801098$ Modular form 10.9.c.a.3.2
2-10-5.3-c8-0-1 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.3 $8.0$ $8$ ✓ ✓ $-0.0283$ $0$ $2.16456$ Modular form 10.9.c.b.3.2
2-10-5.3-c8-0-2 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.3 $8.0$ $8$ ✓ ✓ $0.126$ $0$ $2.25191$ Modular form 10.9.c.a.3.1
2-10-5.3-c8-0-3 $2.01$ $4.07$ $2$ $2 \cdot 5$ 5.3 $8.0$ $8$ ✓ ✓ $0.352$ $0$ $3.82020$ Modular form 10.9.c.b.3.1
2-10-1.1-c9-0-0 $2.26$ $5.15$ $2$ $2 \cdot 5$ 1.1 $9.0$ $9$ ✓ ✓ ✓ ✓ $0$ $0$ $1.13315$ Modular form 10.10.a.a Modular form 10.10.a.a.1.1
2-10-1.1-c9-0-1 $2.26$ $5.15$ $2$ $2 \cdot 5$ 1.1 $9.0$ $9$ ✓ ✓ ✓ ✓ $0$ $0$ $2.46520$ Modular form 10.10.a.c Modular form 10.10.a.c.1.1
2-10-1.1-c9-0-2 $2.26$ $5.15$ $2$ $2 \cdot 5$ 1.1 $9.0$ $9$ ✓ ✓ ✓ ✓ $0.5$ $1$ $3.09665$ Modular form 10.10.a.b Modular form 10.10.a.b.1.1
2-10-5.4-c9-0-0 $2.26$ $5.15$ $2$ $2 \cdot 5$ 5.4 $9.0$ $9$ ✓ ✓ $-0.287$ $0$ $0.520975$ Modular form 10.10.b.a.9.2
2-10-5.4-c9-0-1 $2.26$ $5.15$ $2$ $2 \cdot 5$ 5.4 $9.0$ $9$ ✓ ✓ $-0.492$ $0$ $0.828568$ Modular form 10.10.b.a.9.4
2-10-5.4-c9-0-2 $2.26$ $5.15$ $2$ $2 \cdot 5$ 5.4 $9.0$ $9$ ✓ ✓ $0.287$ $0$ $2.93958$ Modular form 10.10.b.a.9.3
2-10-5.4-c9-0-3 $2.26$ $5.15$ $2$ $2 \cdot 5$ 5.4 $9.0$ $9$ ✓ ✓ $0.492$ $0$ $4.19085$ Modular form 10.10.b.a.9.1
2-10-5.2-c10-0-0 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.2 $10.0$ $10$ ✓ ✓ $0.434$ $0$ $0.212988$ Modular form 10.11.c.a.7.1
2-10-5.2-c10-0-1 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.2 $10.0$ $10$ ✓ ✓ $-0.164$ $0$ $0.701575$ Modular form 10.11.c.c.7.2
2-10-5.2-c10-0-2 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.2 $10.0$ $10$ ✓ ✓ $0.191$ $0$ $1.55854$ Modular form 10.11.c.c.7.1
2-10-5.2-c10-0-3 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.2 $10.0$ $10$ ✓ ✓ $-0.155$ $0$ $1.58099$ Modular form 10.11.c.b.7.1
2-10-5.2-c10-0-4 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.2 $10.0$ $10$ ✓ ✓ $0.287$ $0$ $2.67908$ Modular form 10.11.c.c.7.3
2-10-5.3-c10-0-0 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.3 $10.0$ $10$ ✓ ✓ $-0.191$ $0$ $0.688918$ Modular form 10.11.c.c.3.1
2-10-5.3-c10-0-1 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.3 $10.0$ $10$ ✓ ✓ $-0.287$ $0$ $1.44638$ Modular form 10.11.c.c.3.3
2-10-5.3-c10-0-2 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.3 $10.0$ $10$ ✓ ✓ $0.164$ $0$ $1.95920$ Modular form 10.11.c.c.3.2
2-10-5.3-c10-0-3 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.3 $10.0$ $10$ ✓ ✓ $0.155$ $0$ $2.37842$ Modular form 10.11.c.b.3.1
2-10-5.3-c10-0-4 $2.52$ $6.35$ $2$ $2 \cdot 5$ 5.3 $10.0$ $10$ ✓ ✓ $-0.434$ $0$ $4.11258$ Modular form 10.11.c.a.3.1
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