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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 (1-50 of at least 1000)

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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
36-436e18-1.1-c0e18-0-0 $0.466$ $1.19\times 10^{-12}$ $36$ $2^{36} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.581457$ Modular form 436.1.v.a
36-489e18-1.1-c0e18-0-0 $0.494$ $9.42\times 10^{-12}$ $36$ $3^{18} \cdot 163^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.757040$ Modular form 489.1.p.a
36-589e18-1.1-c0e18-0-0 $0.542$ $2.68\times 10^{-10}$ $36$ $19^{18} \cdot 31^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.454825$ Modular form 589.1.bg.a
36-37e18-1.1-c1e18-0-0 $0.543$ $2.94\times 10^{-10}$ $36$ $37^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $1.42671$ Modular form 37.2.h.a
36-621e18-1.1-c0e18-0-0 $0.556$ $6.95\times 10^{-10}$ $36$ $3^{54} \cdot 23^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.797942$ Modular form 621.1.k.a
36-648e18-1.1-c0e18-0-0 $0.568$ $1.49\times 10^{-9}$ $36$ $2^{54} \cdot 3^{72}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.621897$ Modular form 648.1.bf.a
36-687e18-1.1-c0e18-0-0 $0.585$ $4.28\times 10^{-9}$ $36$ $3^{18} \cdot 229^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.292460$ Modular form 687.1.n.a
36-687e18-1.1-c0e18-0-1 $0.585$ $4.28\times 10^{-9}$ $36$ $3^{18} \cdot 229^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.569774$ Modular form 687.1.p.a
36-763e18-1.1-c0e18-0-0 $0.617$ $2.83\times 10^{-8}$ $36$ $7^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.392653$ Modular form 763.1.ch.a
36-763e18-1.1-c0e18-0-1 $0.617$ $2.83\times 10^{-8}$ $36$ $7^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.518371$ Modular form 763.1.bz.a
36-891e18-1.1-c0e18-0-0 $0.666$ $4.61\times 10^{-7}$ $36$ $3^{72} \cdot 11^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.484513$ Modular form 891.1.w.a
36-916e18-1.1-c0e18-0-0 $0.676$ $7.60\times 10^{-7}$ $36$ $2^{36} \cdot 229^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.509313$ Modular form 916.1.p.a
36-1083e18-1.1-c0e18-0-0 $0.735$ $1.54\times 10^{-5}$ $36$ $3^{18} \cdot 19^{36}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.583249$ Modular form 1083.1.p.a
36-1121e18-1.1-c0e18-0-0 $0.747$ $2.88\times 10^{-5}$ $36$ $19^{18} \cdot 59^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.448683$ Modular form 1121.1.l.a
36-1141e18-1.1-c0e18-0-0 $0.754$ $3.96\times 10^{-5}$ $36$ $7^{18} \cdot 163^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.574816$ Modular form 1141.1.bm.a
36-80e18-1.1-c1e18-0-0 $0.799$ $0.000313$ $36$ $2^{72} \cdot 5^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.916915$ Modular form 80.2.s.b
36-80e18-1.1-c1e18-0-1 $0.799$ $0.000313$ $36$ $2^{72} \cdot 5^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $1.07650$ Modular form 80.2.j.b
36-1304e18-1.1-c0e18-0-0 $0.806$ $0.000438$ $36$ $2^{54} \cdot 163^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.438958$ Modular form 1304.1.bf.a
36-1308e18-1.1-c0e18-0-0 $0.807$ $0.000463$ $36$ $2^{36} \cdot 3^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.0466374$ Modular form 1308.1.br.a
36-1308e18-1.1-c0e18-0-1 $0.807$ $0.000463$ $36$ $2^{36} \cdot 3^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.661926$ Modular form 1308.1.bn.a
36-1337e18-1.1-c0e18-0-0 $0.816$ $0.000687$ $36$ $7^{18} \cdot 191^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.811691$ Modular form 1337.1.s.a
36-1371e18-1.1-c0e18-0-0 $0.827$ $0.00108$ $36$ $3^{18} \cdot 457^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.425352$ Modular form 1371.1.s.a
36-1371e18-1.1-c0e18-0-1 $0.827$ $0.00108$ $36$ $3^{18} \cdot 457^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.656784$ Modular form 1371.1.t.a
36-86e18-1.1-c1e18-0-0 $0.828$ $0.00115$ $36$ $2^{18} \cdot 43^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.313111$ Modular form 86.2.e.b
36-87e18-1.1-c1e18-0-0 $0.833$ $0.00142$ $36$ $3^{18} \cdot 29^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.336634$ Modular form 87.2.g.b
36-87e18-1.1-c1e18-0-1 $0.833$ $0.00142$ $36$ $3^{18} \cdot 29^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.938251$ Modular form 87.2.g.a
36-1393e18-1.1-c0e18-0-0 $0.833$ $0.00143$ $36$ $7^{18} \cdot 199^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.0275145$ Modular form 1393.1.n.a
36-1461e18-1.1-c0e18-0-0 $0.853$ $0.00339$ $36$ $3^{18} \cdot 487^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.319828$ Modular form 1461.1.o.a
36-1467e18-1.1-c0e18-0-0 $0.855$ $0.00365$ $36$ $3^{36} \cdot 163^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.358123$ Modular form 1467.1.bn.a
36-1487e18-1.1-c0e18-0-0 $0.861$ $0.00466$ $36$ $1487^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.577550$ Modular form 1487.1.b.a
36-95e18-1.1-c1e18-0-0 $0.870$ $0.00691$ $36$ $5^{18} \cdot 19^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.610156$ Modular form 95.2.k.b
36-95e18-1.1-c1e18-0-1 $0.870$ $0.00691$ $36$ $5^{18} \cdot 19^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.745732$ Modular form 95.2.k.a
36-1555e18-1.1-c0e18-0-0 $0.880$ $0.0104$ $36$ $5^{18} \cdot 311^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.474708$ Modular form 1555.1.b.b
36-98e18-1.1-c1e18-0-0 $0.884$ $0.0121$ $36$ $2^{18} \cdot 7^{36}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.517620$ Modular form 98.2.e.b
36-98e18-1.1-c1e18-0-1 $0.884$ $0.0121$ $36$ $2^{18} \cdot 7^{36}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.930845$ Modular form 98.2.e.a
36-1593e18-1.1-c0e18-0-0 $0.891$ $0.0160$ $36$ $3^{54} \cdot 59^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.440947$ Modular form 1593.1.l.a
36-1620e18-1.1-c0e18-0-0 $0.899$ $0.0217$ $36$ $2^{36} \cdot 3^{72} \cdot 5^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.0294127$ Modular form 1620.1.bp.a
36-1620e18-1.1-c0e18-0-1 $0.899$ $0.0217$ $36$ $2^{36} \cdot 3^{72} \cdot 5^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.650522$ Modular form 1620.1.bp.b
36-1635e18-1.1-c0e18-0-0 $0.903$ $0.0257$ $36$ $3^{18} \cdot 5^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.0684802$ Modular form 1635.1.cl.b
36-1635e18-1.1-c0e18-0-1 $0.903$ $0.0257$ $36$ $3^{18} \cdot 5^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.201534$ Modular form 1635.1.cl.a
36-1635e18-1.1-c0e18-0-2 $0.903$ $0.0257$ $36$ $3^{18} \cdot 5^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.453329$ Modular form 1635.1.cm.b
36-1635e18-1.1-c0e18-0-3 $0.903$ $0.0257$ $36$ $3^{18} \cdot 5^{18} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.503275$ Modular form 1635.1.cm.a
36-1679e18-1.1-c0e18-0-0 $0.915$ $0.0414$ $36$ $23^{18} \cdot 73^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.270312$ Modular form 1679.1.r.a
36-1679e18-1.1-c0e18-0-1 $0.915$ $0.0414$ $36$ $23^{18} \cdot 73^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.469521$ Modular form 1679.1.q.a
36-1713e18-1.1-c0e18-0-0 $0.924$ $0.0594$ $36$ $3^{18} \cdot 571^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.449678$ Modular form 1713.1.t.a
36-108e18-1.1-c1e18-0-0 $0.928$ $0.0696$ $36$ $2^{36} \cdot 3^{54}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.681243$ Modular form 108.2.i.a
36-1732e18-1.1-c0e18-0-0 $0.929$ $0.0725$ $36$ $2^{36} \cdot 433^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.178752$ Modular form 1732.1.bc.a
36-1732e18-1.1-c0e18-0-1 $0.929$ $0.0725$ $36$ $2^{36} \cdot 433^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.450906$ Modular form 1732.1.bb.a
36-1744e18-1.1-c0e18-0-0 $0.932$ $0.0821$ $36$ $2^{72} \cdot 109^{18}$ 1.1 $[0.0]^{18}$ 0 ✓ ✓ ✓ $0$ $0$ $0.316483$ Modular form 1744.1.ck.a
36-111e18-1.1-c1e18-0-0 $0.941$ $0.113$ $36$ $3^{18} \cdot 37^{18}$ 1.1 $[1.0]^{18}$ $1$ ✓ ✓ ✓ $0$ $0$ $0.516637$ Modular form 111.2.k.a
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