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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
28-887e14-1.1-c0e14-0-0 $0.665$ $1.10\times 10^{-5}$ $28$ $887^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.515497$ Modular form 887.1.b.a
28-89e14-1.1-c1e14-0-0 $0.843$ $0.00838$ $28$ $89^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.457480$ Modular form 89.2.c.a
28-97e14-1.1-c1e14-0-0 $0.880$ $0.0279$ $28$ $97^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.876169$ Modular form 97.2.e.a
28-97e14-1.1-c1e14-0-1 $0.880$ $0.0279$ $28$ $97^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.983803$ Modular form 97.2.c.a
28-109e14-1.1-c1e14-0-0 $0.932$ $0.143$ $28$ $109^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.844547$ Modular form 109.2.c.a
28-109e14-1.1-c1e14-0-1 $0.932$ $0.143$ $28$ $109^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $1.10998$ Modular form 109.2.e.b
28-113e14-1.1-c1e14-0-0 $0.949$ $0.237$ $28$ $113^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.590322$ Modular form 113.2.c.b
28-119e14-1.1-c1e14-0-0 $0.974$ $0.489$ $28$ $7^{14} \cdot 17^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.586528$ Modular form 119.2.e.b
28-133e14-1.1-c1e14-0-0 $1.03$ $2.32$ $28$ $7^{14} \cdot 19^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $1.11304$ Modular form 133.2.f.d
28-2231e14-1.1-c0e14-0-0 $1.05$ $4.49$ $28$ $23^{14} \cdot 97^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.332408$ Modular form 2231.1.d.b
28-2231e14-1.1-c0e14-0-1 $1.05$ $4.49$ $28$ $23^{14} \cdot 97^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.478006$ Modular form 2231.1.d.a
28-2287e14-1.1-c0e14-0-0 $1.06$ $6.36$ $28$ $2287^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.656579$ Modular form 2287.1.b.a
28-2311e14-1.1-c0e14-0-0 $1.07$ $7.36$ $28$ $2311^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.648289$ Modular form 2311.1.b.a
28-2383e14-1.1-c0e14-0-0 $1.09$ $11.3$ $28$ $2383^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.640232$ Modular form 2383.1.b.a
28-161e14-1.1-c1e14-0-0 $1.13$ $33.6$ $28$ $7^{14} \cdot 23^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.394594$ Modular form 161.2.e.a
28-161e14-1.1-c1e14-0-1 $1.13$ $33.6$ $28$ $7^{14} \cdot 23^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.920295$ Modular form 161.2.e.b
28-173e14-1.1-c1e14-0-0 $1.17$ $92.1$ $28$ $173^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.981897$ Modular form 173.2.b.a
28-181e14-1.1-c1e14-0-0 $1.20$ $173.$ $28$ $181^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.286066$ Modular form 181.2.b.a
28-2939e14-1.1-c0e14-0-0 $1.21$ $213.$ $28$ $2939^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.356499$ Modular form 2939.1.b.a
28-185e14-1.1-c1e14-0-0 $1.21$ $235.$ $28$ $5^{14} \cdot 37^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.260902$ Modular form 185.2.e.a
28-185e14-1.1-c1e14-0-1 $1.21$ $235.$ $28$ $5^{14} \cdot 37^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.720775$ Modular form 185.2.e.b
28-191e14-1.1-c1e14-0-0 $1.23$ $368.$ $28$ $191^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.450500$ Modular form 191.2.a.b
28-193e14-1.1-c1e14-0-0 $1.24$ $426.$ $28$ $193^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.364390$ Modular form 193.2.b.a
28-205e14-1.1-c1e14-0-0 $1.27$ $991.$ $28$ $5^{14} \cdot 41^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.587365$ Modular form 205.2.b.b
28-205e14-1.1-c1e14-0-1 $1.27$ $991.$ $28$ $5^{14} \cdot 41^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.696037$ Modular form 205.2.e.c
28-2e56-1.1-c4e14-0-0 $1.28$ $1.14\times 10^{3}$ $28$ $2^{56}$ 1.1 $[4.0]^{14}$ $4$ ✓ ✓ ✓ $0$ $0$ $0.459806$ Modular form 16.5.f.a
28-213e14-1.1-c1e14-0-0 $1.30$ $1.69\times 10^{3}$ $28$ $3^{14} \cdot 71^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.476276$ Modular form 213.2.b.b
28-215e14-1.1-c1e14-0-0 $1.31$ $1.93\times 10^{3}$ $28$ $5^{14} \cdot 43^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.512368$ Modular form 215.2.b.b
28-217e14-1.1-c1e14-0-0 $1.31$ $2.19\times 10^{3}$ $28$ $7^{14} \cdot 31^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.626240$ Modular form 217.2.f.a
28-219e14-1.1-c1e14-0-0 $1.32$ $2.50\times 10^{3}$ $28$ $3^{14} \cdot 73^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.182781$ Modular form 219.2.g.c
28-221e14-1.1-c1e14-0-0 $1.32$ $2.84\times 10^{3}$ $28$ $13^{14} \cdot 17^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.560417$ Modular form 221.2.e.a
28-3551e14-1.1-c0e14-0-0 $1.33$ $3.01\times 10^{3}$ $28$ $53^{14} \cdot 67^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.265177$ Modular form 3551.1.d.b
28-3551e14-1.1-c0e14-0-1 $1.33$ $3.01\times 10^{3}$ $28$ $53^{14} \cdot 67^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.503949$ Modular form 3551.1.d.a
28-3583e14-1.1-c0e14-0-0 $1.33$ $3.41\times 10^{3}$ $28$ $3583^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.587682$ Modular form 3583.1.b.a
28-3659e14-1.1-c0e14-0-0 $1.35$ $4.58\times 10^{3}$ $28$ $3659^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.574015$ Modular form 3659.1.b.a
28-31e14-1.1-c3e14-0-0 $1.35$ $4.69\times 10^{3}$ $28$ $31^{14}$ 1.1 $[3.0]^{14}$ $3$ ✓ ✓ ✓ $0$ $0$ $0.293197$ Modular form 31.4.c.a
28-69e14-1.1-c2e14-0-0 $1.37$ $6.89\times 10^{3}$ $28$ $3^{14} \cdot 23^{14}$ 1.1 $[2.0]^{14}$ $2$ ✓ ✓ ✓ $0$ $0$ $0.409036$ Modular form 69.3.b.a
28-237e14-1.1-c1e14-0-0 $1.37$ $7.55\times 10^{3}$ $28$ $3^{14} \cdot 79^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.276371$ Modular form 237.2.e.b
28-3823e14-1.1-c0e14-0-0 $1.38$ $8.46\times 10^{3}$ $28$ $3823^{14}$ 1.1 $[0.0]^{14}$ 0 ✓ ✓ ✓ $0$ $0$ $0.732125$ Modular form 3823.1.b.a
28-252e14-1.1-c1e14-0-0 $1.41$ $1.78\times 10^{4}$ $28$ $2^{28} \cdot 3^{28} \cdot 7^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.283828$ Modular form 252.2.l.b
28-252e14-1.1-c1e14-0-1 $1.41$ $1.78\times 10^{4}$ $28$ $2^{28} \cdot 3^{28} \cdot 7^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.610550$ Modular form 252.2.i.b
28-257e14-1.1-c1e14-0-0 $1.43$ $2.34\times 10^{4}$ $28$ $257^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.682718$ Modular form 257.2.a.b
28-76e14-1.1-c2e14-0-0 $1.43$ $2.66\times 10^{4}$ $28$ $2^{28} \cdot 19^{14}$ 1.1 $[2.0]^{14}$ $2$ ✓ ✓ ✓ $0$ $0$ $0.720999$ Modular form 76.3.b.b
28-283e14-1.1-c1e14-0-0 $1.50$ $9.05\times 10^{4}$ $28$ $283^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.647033$ Modular form 283.2.a.b
28-284e14-1.1-c1e14-0-0 $1.50$ $9.51\times 10^{4}$ $28$ $2^{28} \cdot 71^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.0657895$ Modular form 284.2.c.a
28-285e14-1.1-c1e14-0-0 $1.50$ $9.99\times 10^{4}$ $28$ $3^{14} \cdot 5^{14} \cdot 19^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.229989$ Modular form 285.2.c.b
28-84e14-1.1-c2e14-0-0 $1.51$ $1.08\times 10^{5}$ $28$ $2^{28} \cdot 3^{14} \cdot 7^{14}$ 1.1 $[2.0]^{14}$ $2$ ✓ ✓ ✓ $0$ $0$ $0.0541939$ Modular form 84.3.l.c
28-84e14-1.1-c2e14-0-1 $1.51$ $1.08\times 10^{5}$ $28$ $2^{28} \cdot 3^{14} \cdot 7^{14}$ 1.1 $[2.0]^{14}$ $2$ ✓ ✓ ✓ $0$ $0$ $0.804097$ Modular form 84.3.l.d
28-291e14-1.1-c1e14-0-0 $1.52$ $1.33\times 10^{5}$ $28$ $3^{14} \cdot 97^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.188864$ Modular form 291.2.h.d
28-291e14-1.1-c1e14-0-1 $1.52$ $1.33\times 10^{5}$ $28$ $3^{14} \cdot 97^{14}$ 1.1 $[1.0]^{14}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.223727$ Modular form 291.2.f.b
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