data:
- - Lhash: '1364352019643646242844129916705'
    a10: 0
    a2: 0
    a3: 0
    a4: 0
    a5: 2
    a6: 0
    a7: 0
    a8: 0
    a9: 0
    accuracy: 100
    algebraic: true
    analytic_conductor: 21.847069993022323
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 3
      - - 1
    - - 19
      - - 1
        - -1
    bad_primes:
    - 2
    - 3
    - 19
    central_character: '2736.1'
    coefficient_field: 1.1.1.1
    conductor: 2736
    conductor_radical: 114
    degree: 2
    euler_factors:
    - - 1
    - - 1
    - - 1
      - -2
      - 5
    - - 1
      - 0
      - 7
    - - 1
      - 0
      - 11
    - - 1
      - -6
      - 13
    - - 1
      - -6
      - 17
    - - 1
      - -1
    - - 1
      - -4
      - 23
    - - 1
      - 2
      - 29
    - - 1
      - 8
      - 31
    - - 1
      - 10
      - 37
    - - 1
      - -2
      - 41
    - - 1
      - -4
      - 43
    - - 1
      - -12
      - 47
    - - 1
      - -6
      - 53
    - - 1
      - 12
      - 59
    - - 1
      - 2
      - 61
    - - 1
      - -4
      - 67
    - - 1
      - 0
      - 71
    - - 1
      - -10
      - 73
    - - 1
      - 0
      - 79
    - - 1
      - -16
      - 83
    - - 1
      - -2
      - 89
    - - 1
      - -10
      - 97
    - - 1
      - -10
      - 101
    - - 1
      - 8
      - 103
    - - 1
      - -4
      - 107
    - - 1
      - 10
      - 109
    - - 1
      - 6
      - 113
    euler_factors_factorization:
    - - 1
    - - 1
    - - - - 1
          - -2
          - 5
        - 1
    - - - - 1
          - 0
          - 7
        - 1
    - - - - 1
          - 0
          - 11
        - 1
    - - - - 1
          - -6
          - 13
        - 1
    - - - - 1
          - -6
          - 17
        - 1
    - - - - 1
          - -1
        - 1
    - - - - 1
          - -4
          - 23
        - 1
    - - - - 1
          - 2
          - 29
        - 1
    - - - - 1
          - 8
          - 31
        - 1
    - - - - 1
          - 10
          - 37
        - 1
    - - - - 1
          - -2
          - 41
        - 1
    - - - - 1
          - -4
          - 43
        - 1
    - - - - 1
          - -12
          - 47
        - 1
    - - - - 1
          - -6
          - 53
        - 1
    - - - - 1
          - 12
          - 59
        - 1
    - - - - 1
          - 2
          - 61
        - 1
    - - - - 1
          - -4
          - 67
        - 1
    - - - - 1
          - 0
          - 71
        - 1
    - - - - 1
          - -10
          - 73
        - 1
    - - - - 1
          - 0
          - 79
        - 1
    - - - - 1
          - -16
          - 83
        - 1
    - - - - 1
          - -2
          - 89
        - 1
    - - - - 1
          - -10
          - 97
        - 1
    - - - - 1
          - -10
          - 101
        - 1
    - - - - 1
          - 8
          - 103
        - 1
    - - - - 1
          - -4
          - 107
        - 1
    - - - - 1
          - 10
          - 109
        - 1
    - - - - 1
          - 6
          - 113
        - 1
    gamma_factors:
    - []
    - - 0
    group: GL2
    id: 20179596
    index: 17
    label: 2-2736-1.1-c1-0-17
    leading_term: '2.50639823618341459375009217441000000000000000000000000000000000000000000000000000000000000'
    load_key: CMFs-workshop
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    origin: ModularForm/GL2/Q/holomorphic/2736/2/a/s
    plot_delta:
      __RealLiteral__: 0
      data: '0.05859375'
      prec: 34
    plot_values:
    - 2.5063982361834145
    - 2.499601061685429
    - 2.47907887788878
    - 2.4444542912267297
    - 2.39514569460873
    - 2.3304341845682384
    - 2.2495495693522853
    - 2.1517691000867742
    - 2.0365222231608042
    - 1.903494919681521
    - 1.7527278643425366
    - 1.5847034922537442
    - 1.4004179442365365
    - 1.2014346719460998
    - 0.9899171911189215
    - 0.7686390879737005
    - 0.5409699491792744
    - 0.3108364454169454
    - 0.08265839201843775
    - -0.1387397358198118
    - -0.34824062984809334
    - -0.5405673202544085
    - -0.7104348496798426
    - -0.8527167400638486
    - -0.9626216888187835
    - -1.0358751329644103
    - -1.0688996233413026
    - -1.0589874020307257
    - -1.0044582191100206
    - -0.9047953002453608
    - -0.7607525183072593
    - -0.5744262554540807
    - -0.3492861815105864
    - -0.09016022203366826
    - 0.1968296665948953
    - 0.5043826839296526
    - 0.8241852609491059
    - 1.1471259371897213
    - 1.4635548364234
    - 1.7635814012917017
    - 2.0374019811073762
    - 2.275646967675685
    - 2.469735539927282
    - 2.6122248053050106
    - 2.6971393028274147
    - 2.7202665360007168
    - 2.6794044927442586
    - 2.574548022312756
    - 2.4080024887031737
    - 2.1844152909014896
    - 1.9107185871784371
    - 1.5959798074805471
    - 1.251160179033746
    - 0.8887853925123572
    - 0.5225365431381178
    - 0.16677341867247616
    - -0.16399411064162003
    - -0.45566760448751537
    - -0.6951328552249665
    - -0.8708205434722727
    - -0.9732304159461043
    - -0.9953948022129232
    - -0.9332585405949443
    - -0.7859547611542209
    - -0.555959440202618
    - -0.2491121056020736
    - 0.1255046103172108
    - 0.5558279004798252
    - 1.0272151406242358
    - 1.5229701028052367
    - 2.024977109436646
    - 2.514419359965664
    - 2.9725526147445227
    - 3.381501472404547
    - 3.7250428862385037
    - 3.9893405381625904
    - 4.163594366257651
    - 4.2405719866266995
    - 4.216992939376902
    - 4.093742508638721
    - 3.8758991141407573
    - 3.5725676581076726
    - 3.1965203717517183
    - 2.7636562149636936
    - 2.292299273254257
    - 1.8023653797650916
    - 1.3144338841668923
    - 0.8487676421663753
    - 0.42432851366348606
    - 0.057837620245765345
    - -0.2370708873588924
    - -0.4505568547116714
    - -0.5771018102828246
    - -0.6158250804574336
    - -0.5705660188266399
    - -0.44972153539231036
    - -0.26584064545935515
    - -0.03499069655498747
    - 0.22407740819830338
    - 0.4909259908115499
    - 0.7445403619809825
    - 0.9644948040342639
    - 1.1321130703702593
    - 1.2315599527733712
    - 1.2508021464661476
    - 1.1823817942185104
    - 1.0239545706475581
    - 0.7785556368582359
    - 0.4545707301106255
    - 0.06540536630210239
    - -0.37113819366399114
    - -0.8337498377907631
    - -1.2987241556690523
    - -1.7412404609043126
    - -2.136742817268378
    - -2.4623447876465083
    - -2.6981798533487167
    - -2.828619092576
    - -2.8432828869830447
    - -2.7377830094016824
    - -2.5141450345014014
    - -2.1808779561186173
    - -1.7526773150733344
    - -1.249768983613615
    - -0.696921836354976
    - -0.12217762286754918
    - 0.44463578254054253
    - 0.9735270810857934
    - 1.4360093705841688
    - 1.806717193315286
    - 2.064877413208717
    - 2.195544731497108
    - 2.1905243729590453
    - 2.048921177022107
    - 1.7772751488174885
    - 1.3892673221634113
    - 0.9050051951611786
    - 0.3499225105148382
    - -0.2466477982105217
    - -0.8531476114666968
    - -1.4376180104861598
    - -1.9695663245006187
    - -2.421763347377809
    - -2.771860319322394
    - -3.003724268385894
    - -3.1084058388783133
    - -3.0846749944926968
    - -2.939085779799662
    - -2.685560136897979
    - -2.3445108490364257
    - -1.9415531326030973
    - -1.5058813215828348
    - -1.0684096918342363
    - -0.6597931926890692
    - -0.3084534649202176
    - -0.03873723039587606
    - 0.1306723625648983
    - 0.1879853358883259
    - 0.12909102281964152
    - -0.04215597106629281
    - -0.3141747518297995
    - -0.66841259668719
    - -1.0805711267949767
    - -1.5222283584980862
    - -1.9627531367443696
    - -2.3713871564698428
    - -2.719356419550682
    - -2.981869638671766
    - -3.1398662861788087
    - -3.1813915647822624
    - -3.1024987760475278
    - -2.9076100036846766
    - -2.609301804195115
    - -2.2275213864690566
    - -1.788277977913328
    - -1.321891036164854
    - -0.8609090783814225
    - -0.43783783963048245
    - -0.08283235074950658
    - 0.1784869624927863
    - 0.3269395325640534
    - 0.3512729622487326
    - 0.2491224032480103
    - 0.027363670515273674
    - -0.2981764481455795
    - -0.7036450246371541
    - -1.158670708449866
    - -1.6283602095906011
    - -2.075653298076864
    - -2.4638783496921475
    - -2.7593332921086833
    - -2.9337116191171693
    - -2.966200569363659
    - -2.8450983531771925
    - -2.5688283143326736
    - -2.14626816443872
    - -1.596359252442774
    - -0.9470110266715441
    - -0.23336589562202106
    - 0.5044639862383601
    - 1.2240372819220071
    - 1.883421531045679
    - 2.444032081048961
    - 2.873272294692878
    - 3.1467867331806425
    - 3.250164019938187
    - 3.17996324072756
    - 2.943984549227205
    - 2.560757886777418
    - 2.0582796207465957
    - 1.47208142089528
    - 0.8427648151663577
    - 0.21317490556663035
    - -0.37458540656777467
    - -0.8820858825747782
    - -1.2772314687771198
    - -1.536462135140475
    - -1.6463277836587538
    - -1.604320889083318
    - -1.418903686205346
    - -1.1087261943057456
    - -0.7010917854499418
    - -0.22978382815417076
    - 0.2675841650594099
    - 0.752495298440255
    - 1.188510936283098
    - 1.5440794000494655
    - 1.794955401216334
    - 1.9260420822909379
    - 1.9325104878447321
    - 1.8201059096295007
    - 1.6046128091679774
    - 1.3105152253935552
    - 0.9689527249956632
    - 0.6151281244266327
    - 0.2853679377698438
    - 0.014066129569964773
    - -0.16924626533150514
    - -0.24246996171555757
    - -0.1929344692389999
    - -0.018655535562020337
    - 0.27125860143271535
    - 0.6570978476445901
    - 1.1099129493824242
    - 1.5936557664909035
    - 2.0679393407043873
    - 2.4912081560100874
    - 2.824072928622017
    - 3.032547086228189
    - 3.0909254777021617
    - 2.9840698731938655
    - 2.7089089114312683
    - 2.2750192237781253
    - 1.7042250855405257
    - 1.0292306897975803
    - 0.2913760009093097
    - -0.46232199599985585
    positive_zeros:
    - '1.07628396925620245570845051253048'
    - '1.95255670636420425042320954208735'
    - '3.25148783575260438600086430314841'
    - '3.84859941092912106278451327058144'
    - '5.22523151161492305197654101067557'
    - '5.69178884171323828176864961556391'
    - '6.39584814801769229586264060019174'
    - '7.33667434445098454643296446244942'
    - '8.062008804214737453511932083588107'
    - '9.092693734190788229037074202447569'
    prelabel: 2-2736-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    sign_arg: 0
    spectral_label: c1-0
    trace_hash: 1543816632100312673
    types:
    - CMF
    z1:
      __RealLiteral__: 0
      data: '1.07628396925620245570845051253'
      prec: 103
    z2:
      __RealLiteral__: 0
      data: '1.95255670636420425042320954209'
      prec: 103
    z3:
      __RealLiteral__: 0
      data: '3.25148783575260438600086430315'
      prec: 103
- - algebraic: true
    analytic_conductor: 21.847069993022323
    bad_primes:
    - 2
    - 3
    - 19
    central_character: '1.1'
    conductor: 2736
    conductor_radical: 114
    degree: 2
    dirichlet_coefficients:
    - 1
    - 0
    - 0
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 6
    - 0
    - 0
    - 0
    - 6
    - 0
    - 1
    - 0
    - 0
    - 0
    - 4
    - 0
    - -1
    - 0
    - 0
    - 0
    - -2
    - 0
    - -8
    - 0
    - 0
    - 0
    - 0
    - 0
    - -10
    - 0
    - 0
    - 0
    - 2
    - 0
    - 4
    - 0
    - 0
    - 0
    - 12
    - 0
    - -7
    - 0
    - 0
    - 0
    - 6
    - 0
    - 0
    - 0
    - 0
    - 0
    - -12
    - 0
    - -2
    - 0
    - 0
    - 0
    - 12
    - 0
    - 4
    - 0
    - 0
    - 0
    - 0
    - 0
    - 10
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 0
    - 16
    - 0
    - 12
    - 0
    - 0
    - 0
    - 2
    - 0
    - 0
    - 0
    - 0
    - 0
    - 2
    - 0
    - 10
    - 0
    - 0
    - 0
    euler11:
    - 1
    - 0
    - 11
    euler13:
    - 1
    - -6
    - 13
    euler17:
    - 1
    - -6
    - 17
    euler19:
    - 1
    - -1
    - 0
    euler2:
    - 1
    - 0
    - 0
    euler23:
    - 1
    - -4
    - 23
    euler29:
    - 1
    - 2
    - 29
    euler3:
    - 1
    - 0
    - 0
    euler31:
    - 1
    - 8
    - 31
    euler37:
    - 1
    - 10
    - 37
    euler41:
    - 1
    - -2
    - 41
    euler43:
    - 1
    - -4
    - 43
    euler47:
    - 1
    - -12
    - 47
    euler5:
    - 1
    - -2
    - 5
    euler53:
    - 1
    - -6
    - 53
    euler59:
    - 1
    - 12
    - 59
    euler61:
    - 1
    - 2
    - 61
    euler67:
    - 1
    - -4
    - 67
    euler7:
    - 1
    - 0
    - 7
    euler71:
    - 1
    - 0
    - 71
    euler73:
    - 1
    - -10
    - 73
    euler79:
    - 1
    - 0
    - 79
    euler83:
    - 1
    - -16
    - 83
    euler89:
    - 1
    - -2
    - 89
    euler97:
    - 1
    - -10
    - 97
    euler_factors:
    - - 1
      - 0
      - 0
    - - 1
      - 0
      - 0
    - - 1
      - -2
      - 5
    - - 1
      - 0
      - 7
    - - 1
      - 0
      - 11
    - - 1
      - -6
      - 13
    - - 1
      - -6
      - 17
    - - 1
      - -1
      - 0
    - - 1
      - -4
      - 23
    - - 1
      - 2
      - 29
    - - 1
      - 8
      - 31
    - - 1
      - 10
      - 37
    - - 1
      - -2
      - 41
    - - 1
      - -4
      - 43
    - - 1
      - -12
      - 47
    - - 1
      - -6
      - 53
    - - 1
      - 12
      - 59
    - - 1
      - 2
      - 61
    - - 1
      - -4
      - 67
    - - 1
      - 0
      - 71
    - - 1
      - -10
      - 73
    - - 1
      - 0
      - 79
    - - 1
      - -16
      - 83
    - - 1
      - -2
      - 89
    - - 1
      - -10
      - 97
    id: 20179596
    index: 17
    instance_types:
    - ECQ
    - CMF
    - CMF
    instance_urls:
    - EllipticCurve/Q/2736/s
    - ModularForm/GL2/Q/holomorphic/2736/2/a/s/1/1
    - ModularForm/GL2/Q/holomorphic/2736/2/a/s
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: true
    is_instance_DIR: false
    is_instance_ECNF: false
    is_instance_ECQ: true
    is_instance_G2Q: false
    is_instance_HMF: false
    is_instance_MaassGL3: false
    is_instance_MaassGL4: false
    is_instance_MaassGSp4: false
    is_instance_NF: false
    label: 2-2736-1.1-c1-0-17
    motivic_weight: 1
    mu_imag: []
    mu_real: []
    nu_imag:
    - __RealLiteral__: 0
      data: '0.0'
      prec: 10
    nu_real_doubled:
    - 1
    order_of_vanishing: 0
    prelabel: 2-2736-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 4.67408493643647
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    trace_hash: 1543816632100312673
    z1:
      __RealLiteral__: 0
      data: '1.07628396925620245570845051253'
      prec: 103
- - Lhash: '1364352019643646242844129916705'
    Lhash_array:
    - '1364352019643646242844129916705'
    id: 20220981
    label: 2-2736-1.1-c1-0-17
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2736/2/a/s
  - Lhash: '1364352019643646242844129916705'
    Lhash_array:
    - '1364352019643646242844129916705'
    id: 24558584
    label: 2-2736-1.1-c1-0-17
    type: CMF
    url: ModularForm/GL2/Q/holomorphic/2736/2/a/s/1/1
  - Lhash: '1543816632100312673'
    Lhash_array:
    - '1543816632100312673'
    id: 92272
    label: 2-2736-1.1-c1-0-17
    type: ECQ
    url: EllipticCurve/Q/2736/s
label_cols:
- label
- label
- label
labels:
- 2-2736-1.1-c1-0-17
- 2-2736-1.1-c1-0-17
- 2-2736-1.1-c1-0-17
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T20:12:05.239718'