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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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Label $\alpha$ $A$ $d$ $N$ $\chi$ $\mu$ $\nu$ $w$ prim arith $\mathbb{Q}$ self-dual $\operatorname{Arg}(\epsilon)$ $r$ First zero Origin
2-273-13.11-c2-0-0 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.311$ $0$ $0.0224181$ Modular form 273.3.ce.a.232.4
2-273-13.11-c2-0-1 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.445$ $0$ $0.163338$ Modular form 273.3.ce.a.232.6
2-273-13.11-c2-0-10 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.375$ $0$ $1.14266$ Modular form 273.3.ce.b.232.6
2-273-13.11-c2-0-11 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.0781$ $0$ $1.19507$ Modular form 273.3.ce.b.232.8
2-273-13.11-c2-0-12 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.108$ $0$ $1.27971$ Modular form 273.3.ce.b.232.9
2-273-13.11-c2-0-13 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.0553$ $0$ $1.33264$ Modular form 273.3.ce.a.232.9
2-273-13.11-c2-0-14 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.0874$ $0$ $1.33922$ Modular form 273.3.ce.b.232.2
2-273-13.11-c2-0-15 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.118$ $0$ $1.35934$ Modular form 273.3.ce.b.232.13
2-273-13.11-c2-0-16 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.0854$ $0$ $1.39415$ Modular form 273.3.ce.a.232.10
2-273-13.11-c2-0-17 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.0979$ $0$ $1.44822$ Modular form 273.3.ce.b.232.10
2-273-13.11-c2-0-18 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.247$ $0$ $1.49517$ Modular form 273.3.ce.a.232.12
2-273-13.11-c2-0-19 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.117$ $0$ $1.58757$ Modular form 273.3.ce.a.232.3
2-273-13.11-c2-0-2 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.328$ $0$ $0.255031$ Modular form 273.3.ce.b.232.3
2-273-13.11-c2-0-20 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.215$ $0$ $1.70090$ Modular form 273.3.ce.b.232.11
2-273-13.11-c2-0-21 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.243$ $0$ $2.06015$ Modular form 273.3.ce.b.232.5
2-273-13.11-c2-0-22 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.434$ $0$ $2.29788$ Modular form 273.3.ce.a.232.8
2-273-13.11-c2-0-23 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.456$ $0$ $2.42955$ Modular form 273.3.ce.a.232.11
2-273-13.11-c2-0-24 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.456$ $0$ $2.54654$ Modular form 273.3.ce.b.232.12
2-273-13.11-c2-0-25 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.341$ $0$ $2.90715$ Modular form 273.3.ce.b.232.14
2-273-13.11-c2-0-26 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.211$ $0$ $3.35862$ Modular form 273.3.ce.a.232.14
2-273-13.11-c2-0-27 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.240$ $0$ $3.53538$ Modular form 273.3.ce.a.232.13
2-273-13.11-c2-0-3 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $0.264$ $0$ $0.498470$ Modular form 273.3.ce.b.232.1
2-273-13.11-c2-0-4 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.331$ $0$ $0.551468$ Modular form 273.3.ce.a.232.2
2-273-13.11-c2-0-5 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.459$ $0$ $0.861250$ Modular form 273.3.ce.b.232.4
2-273-13.11-c2-0-6 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.239$ $0$ $0.944606$ Modular form 273.3.ce.a.232.7
2-273-13.11-c2-0-7 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.332$ $0$ $0.946987$ Modular form 273.3.ce.a.232.1
2-273-13.11-c2-0-8 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.281$ $0$ $1.03032$ Modular form 273.3.ce.b.232.7
2-273-13.11-c2-0-9 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.11 $2.0$ $2$ ✓ ✓ $-0.109$ $0$ $1.09164$ Modular form 273.3.ce.a.232.5
2-273-13.2-c2-0-0 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.419$ $0$ $0.00228380$ Modular form 273.3.ce.a.106.9
2-273-13.2-c2-0-1 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.347$ $0$ $0.109231$ Modular form 273.3.ce.b.106.7
2-273-13.2-c2-0-10 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.0783$ $0$ $0.843232$ Modular form 273.3.ce.b.106.4
2-273-13.2-c2-0-11 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.0372$ $0$ $1.03530$ Modular form 273.3.ce.a.106.1
2-273-13.2-c2-0-12 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.319$ $0$ $1.08189$ Modular form 273.3.ce.a.106.12
2-273-13.2-c2-0-13 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.365$ $0$ $1.26128$ Modular form 273.3.ce.a.106.2
2-273-13.2-c2-0-14 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.315$ $0$ $1.30965$ Modular form 273.3.ce.b.106.1
2-273-13.2-c2-0-15 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.370$ $0$ $1.42787$ Modular form 273.3.ce.a.106.4
2-273-13.2-c2-0-16 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.186$ $0$ $1.43190$ Modular form 273.3.ce.b.106.14
2-273-13.2-c2-0-17 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.114$ $0$ $1.57079$ Modular form 273.3.ce.a.106.8
2-273-13.2-c2-0-18 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.387$ $0$ $1.70568$ Modular form 273.3.ce.b.106.2
2-273-13.2-c2-0-19 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.180$ $0$ $1.78205$ Modular form 273.3.ce.a.106.14
2-273-13.2-c2-0-2 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.434$ $0$ $0.260676$ Modular form 273.3.ce.b.106.11
2-273-13.2-c2-0-20 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.492$ $0$ $1.86781$ Modular form 273.3.ce.b.106.5
2-273-13.2-c2-0-21 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.288$ $0$ $1.89139$ Modular form 273.3.ce.a.106.6
2-273-13.2-c2-0-22 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.132$ $0$ $1.90227$ Modular form 273.3.ce.a.106.13
2-273-13.2-c2-0-23 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.0217$ $0$ $2.12565$ Modular form 273.3.ce.a.106.11
2-273-13.2-c2-0-24 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.0159$ $0$ $2.12707$ Modular form 273.3.ce.b.106.13
2-273-13.2-c2-0-25 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.0813$ $0$ $2.18665$ Modular form 273.3.ce.b.106.12
2-273-13.2-c2-0-26 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.260$ $0$ $2.24714$ Modular form 273.3.ce.b.106.10
2-273-13.2-c2-0-27 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $0.348$ $0$ $2.35855$ Modular form 273.3.ce.b.106.9
2-273-13.2-c2-0-3 $2.72$ $7.43$ $2$ $3 \cdot 7 \cdot 13$ 13.2 $2.0$ $2$ ✓ ✓ $-0.128$ $0$ $0.387494$ Modular form 273.3.ce.b.106.3
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