data:
- - A10: 0
    A2: 0
    A3: 1
    A4: 0
    A5: 0
    A6: 0
    A7: 1
    A8: 0
    A9: 1
    Lhash: '965369726088749882'
    a10:
    - 0.0
    - 0
    a2:
    - 0.0
    - 0
    a3:
    - 0.5773502691896258
    - 0
    a4:
    - 0.0
    - 0
    a5:
    - 0.0
    - 0
    a6:
    - 0.0
    - 0
    a7:
    - 0.3779644730092272
    - 0
    a8:
    - 0.0
    - 0
    a9:
    - 0.3333333333333333
    - 0
    algebraic: true
    analytic_conductor: 2951.2708587065245
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 3
      - - 1
        - -1
    - - 5
      - - 1
    - - 7
      - - 1
        - -1
    - - 11
      - - 1
        - -1
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    - 11
    central_character: '369600.1'
    coefficient_field: 1.1.1.1
    conductor: 369600
    conductor_radical: 2310
    degree: 2
    euler_factors:
    - - 1
    - - 1
      - -1
    - - 1
    - - 1
      - -1
    - - 1
      - -1
    - - 1
      - 1
      - 13
    - - 1
      - 3
      - 17
    - - 1
      - 0
      - 19
    - - 1
      - -3
      - 23
    - - 1
      - 5
      - 29
    - - 1
      - 1
      - 31
    - - 1
      - 4
      - 37
    - - 1
      - 3
      - 41
    - - 1
      - -5
      - 43
    - - 1
      - -6
      - 47
    - - 1
      - -9
      - 53
    - - 1
      - -1
      - 59
    - - 1
      - 3
      - 61
    - - 1
      - 4
      - 67
    - - 1
      - 8
      - 71
    - - 1
      - -10
      - 73
    - - 1
      - -14
      - 79
    - - 1
      - -9
      - 83
    - - 1
      - 6
      - 89
    - - 1
      - 4
      - 97
    gamma_factors:
    - []
    - - 0
    id: 9266062
    index: 139
    label: 2-369600-1.1-c1-0-139
    leading_term: '3.26348904134'
    load_key: Cremona
    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: EllipticCurve/Q/369600/wb
    plot_delta:
      __RealLiteral__: 0
      data: '0.25'
      prec: 14
    plot_values:
    - 3.263489041337745
    - 2.121699609942116
    - -0.4351927278887628
    - -2.221118097555834
    - -1.478952793747603
    - 0.9572208439638877
    - 2.190840606765126
    - 0.8908056018887857
    - -0.716094501447667
    - -0.09177630605243615
    - 1.465909935176986
    - 0.7149012493444353
    - -1.910615899763199
    - -2.499234345780606
    - -0.273028619206965
    - 0.73166733975244
    - -1.235454279456116
    - -2.232816279764757
    - 0.003722715368381712
    - 1.23702983660022
    - -1.406047633653611
    - -3.184112349716473
    - -0.3501028013263168
    - 1.883009904566128
    - -1.417945228757963
    - -5.034614942897113
    - -2.85616660399791
    - 0.8870259164782281
    - 0.280916287382496
    - -1.242095958183209
    - 0.6338655051951769
    - 1.78806888567614
    - -0.8515451350963462
    - -2.140954485188026
    - 0.2679521852376001
    - 1.110047042793541
    - -0.5475051513858799
    - 0.1226214757591857
    - 1.439209245248002
    - -1.432366040590571
    - -3.920286636098931
    - -0.5423288425285173
    - 2.647966847654786
    - 0.7528493439446584
    - 0.4876220553216536
    - 4.21041316900642
    - 3.818258088606736
    - -0.571212833805587
    - -0.09388189093820724
    - 3.040088268177424
    - 0.9207867382033297
    - -1.798425635093935
    - 1.013007783895206
    - 2.969328498308391
    - 0.5017445186745256
    - 0.1502481560510936
    - 1.722640958407553
    - -0.5504546019170709
    - -2.794417697844402
    - -0.7407881554706037
    - 0.1443674051415911
    - -0.8614049713548846
    - 1.451828966225694
    - 2.355795823043531
    - -2.763347502616361
    - -4.828407864739081
    - -0.7634664205307254
    - -0.763343111044161
    - -4.002559509415276
    - -1.389410962748709
    - 1.675445531786501
    - -1.02970986386404
    - -1.158984419579748
    - 2.732576462104558
    - 1.427881350373192
    - -1.804144490975884
    - 0.207002717469832
    - 1.096855818941639
    - -1.593580325956588
    - -0.6670525909217551
    - 1.186072280004521
    - -1.058812734310117
    - -1.191946944320669
    - 1.284580743188221
    - -0.003606912750095364
    - -0.1934229496427871
    - 3.743793866168825
    - 2.834909548749872
    - -1.218632665557461
    - 0.09158680300893238
    - 0.1003788246334453
    - -4.126843049126785
    - -1.409645530356547
    - 4.628453197540238
    - 1.928196319958182
    - -1.775183246281837
    - 0.805031809995494
    - 0.8598618307709177
    - -1.461705117317298
    - 0.1189383223301876
    - -0.1492107735788112
    - -2.613511455498184
    - -0.03182310606666391
    - 1.831095968553349
    - -1.105637446266452
    - -0.4593133016979757
    - 1.763733802009125
    - -0.5343953865411009
    - -0.4955250931194934
    - 1.65826959429537
    - -1.173150174762538
    - -1.97246944216262
    - 1.046851999699913
    - -2.494316846313984
    - -6.045459329447422
    - -0.8765125860704971
    - 0.8773768554766884
    - -2.96608075081638
    - -0.8758381794863663
    - 1.35742269595265
    - -1.879794347617399
    positive_zeros:
    - '0.4587535765296710'
    - '1.154430811423675'
    - '1.862160966540288'
    - '2.263592888171601'
    - '2.821671411241776'
    - '3.529746992117289'
    - '3.870146122263821'
    - '4.499659984170647'
    - '4.895487492221338'
    - '5.522509852992117'
    - '5.925900745862434'
    - '6.667508585006813'
    - '7.030403685334210'
    - '7.440869801143661'
    - '7.934192368077148'
    - '8.475070431841193'
    - '8.911072233735219'
    - '9.234905341938197'
    - '9.661137025842434'
    - '10.27754231587291'
    - '10.84819860104623'
    - '10.93465057184055'
    - '11.70900599269344'
    - '12.00670727440653'
    - '12.55515828514129'
    - '12.93740890482242'
    - '13.56053451390268'
    - '13.72649338194120'
    - '14.21214405278811'
    - '14.83590695230696'
    - '15.03124041281824'
    - '15.38589295121342'
    - '15.88367782082224'
    - '16.57089375515758'
    - '16.67624909873986'
    - '17.32267716318171'
    - '17.67672932951640'
    - '18.07396658585240'
    - '18.58302202677349'
    - '18.98355791405614'
    - '19.35353553430012'
    - '19.80630317711056'
    prelabel: 2-369600-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 54.32560039895118
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    spectral_label: c1-0
    st_group: SU(2)
    trace_hash: 965369726088749882
    z1:
      __RealLiteral__: 0
      data: '0.4587535765296710'
      prec: 60
    z2:
      __RealLiteral__: 0
      data: '1.154430811423675'
      prec: 57
    z3:
      __RealLiteral__: 0
      data: '1.862160966540288'
      prec: 57
- - algebraic: true
    analytic_conductor: 2951.2708587065245
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    - 11
    central_character: '1.1'
    conductor: 369600
    conductor_radical: 2310
    degree: 2
    dirichlet_coefficients:
    - 1
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - 1
    - 0
    - 1
    - 0
    - -1
    - 0
    - 0
    - 0
    - -3
    - 0
    - 0
    - 0
    - 1
    - 0
    - 3
    - 0
    - 0
    - 0
    - 1
    - 0
    - -5
    - 0
    - -1
    - 0
    - 1
    - 0
    - 0
    - 0
    - -4
    - 0
    - -1
    - 0
    - -3
    - 0
    - 5
    - 0
    - 0
    - 0
    - 6
    - 0
    - 1
    - 0
    - -3
    - 0
    - 9
    - 0
    - 0
    - 0
    - 0
    - 0
    - 1
    - 0
    - -3
    - 0
    - 1
    - 0
    - 0
    - 0
    - -4
    - 0
    - 3
    - 0
    - -8
    - 0
    - 10
    - 0
    - 0
    - 0
    - 1
    - 0
    - 14
    - 0
    - 1
    - 0
    - 9
    - 0
    - 0
    - 0
    - -5
    - 0
    - -6
    - 0
    - -1
    - 0
    - -1
    - 0
    - 0
    - 0
    - -4
    - 0
    - 1
    - 0
    euler11:
    - 1
    - -1
    - 0
    euler13:
    - 1
    - 1
    - 13
    euler17:
    - 1
    - 3
    - 17
    euler19:
    - 1
    - 0
    - 19
    euler2:
    - 1
    - 0
    - 0
    euler23:
    - 1
    - -3
    - 23
    euler29:
    - 1
    - 5
    - 29
    euler3:
    - 1
    - -1
    - 0
    euler31:
    - 1
    - 1
    - 31
    euler37:
    - 1
    - 4
    - 37
    euler41:
    - 1
    - 3
    - 41
    euler43:
    - 1
    - -5
    - 43
    euler47:
    - 1
    - -6
    - 47
    euler5:
    - 1
    - 0
    - 0
    euler53:
    - 1
    - -9
    - 53
    euler59:
    - 1
    - -1
    - 59
    euler61:
    - 1
    - 3
    - 61
    euler67:
    - 1
    - 4
    - 67
    euler7:
    - 1
    - -1
    - 0
    euler71:
    - 1
    - 8
    - 71
    euler73:
    - 1
    - -10
    - 73
    euler79:
    - 1
    - -14
    - 79
    euler83:
    - 1
    - -9
    - 83
    euler89:
    - 1
    - 6
    - 89
    euler97:
    - 1
    - 4
    - 97
    euler_factors:
    - - 1
      - 0
      - 0
    - - 1
      - -1
      - 0
    - - 1
      - 0
      - 0
    - - 1
      - -1
      - 0
    - - 1
      - -1
      - 0
    - - 1
      - 1
      - 13
    - - 1
      - 3
      - 17
    - - 1
      - 0
      - 19
    - - 1
      - -3
      - 23
    - - 1
      - 5
      - 29
    - - 1
      - 1
      - 31
    - - 1
      - 4
      - 37
    - - 1
      - 3
      - 41
    - - 1
      - -5
      - 43
    - - 1
      - -6
      - 47
    - - 1
      - -9
      - 53
    - - 1
      - -1
      - 59
    - - 1
      - 3
      - 61
    - - 1
      - 4
      - 67
    - - 1
      - 8
      - 71
    - - 1
      - -10
      - 73
    - - 1
      - -14
      - 79
    - - 1
      - -9
      - 83
    - - 1
      - 6
      - 89
    - - 1
      - 4
      - 97
    id: 9266062
    index: 139
    instance_types:
    - ECQ
    instance_urls:
    - EllipticCurve/Q/369600/wb
    is_instance_Artin: false
    is_instance_BMF: false
    is_instance_CMF: false
    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: 2-369600-1.1-c1-0-139
    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: 2-369600-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 54.32560039895118
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    trace_hash: 965369726088749882
    z1:
      __RealLiteral__: 0
      data: '0.4587535765296710'
      prec: 60
- - Lhash: '965369726088749882'
    Lhash_array:
    - '965369726088749882'
    id: 1665899
    label: 2-369600-1.1-c1-0-139
    type: ECQ
    url: EllipticCurve/Q/369600/wb
label_cols:
- label
- label
- label
labels:
- 2-369600-1.1-c1-0-139
- 2-369600-1.1-c1-0-139
- 2-369600-1.1-c1-0-139
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-19T13:21:37.303637'