data:
- - A10: 0
    A2: 0
    A3: -1
    A4: 0
    A5: 0
    A6: 0
    A7: -5
    A8: 0
    A9: 1
    Lhash: '2238871682284673178'
    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:
    - -1.889822365046136
    - 0
    a8:
    - 0.0
    - 0
    a9:
    - 0.3333333333333333
    - 0
    algebraic: true
    analytic_conductor: 498.26650861278983
    analytic_normalization:
      __RealLiteral__: 0
      data: '0.5'
      prec: 10
    bad_lfactors:
    - - 2
      - - 1
    - - 3
      - - 1
        - 1
    - - 5
      - - 1
    - - 13
      - - 1
        - 1
    bad_primes:
    - 2
    - 3
    - 5
    - 13
    central_character: '62400.1'
    coefficient_field: 1.1.1.1
    conductor: 62400
    conductor_radical: 390
    degree: 2
    euler_factors:
    - - 1
    - - 1
      - 1
    - - 1
    - - 1
      - 5
      - 7
    - - 1
      - 5
      - 11
    - - 1
      - 1
    - - 1
      - 3
      - 17
    - - 1
      - -4
      - 19
    - - 1
      - -5
      - 23
    - - 1
      - -4
      - 29
    - - 1
      - 0
      - 31
    - - 1
      - -7
      - 37
    - - 1
      - -11
      - 41
    - - 1
      - -12
      - 43
    - - 1
      - -6
      - 47
    - - 1
      - 1
      - 53
    - - 1
      - 12
      - 59
    - - 1
      - -7
      - 61
    - - 1
      - 4
      - 67
    - - 1
      - 7
      - 71
    - - 1
      - 14
      - 73
    - - 1
      - 5
      - 79
    - - 1
      - -2
      - 83
    - - 1
      - 3
      - 89
    - - 1
      - 1
      - 97
    gamma_factors:
    - []
    - - 0
    id: 7924569
    index: 20
    label: 2-62400-1.1-c1-0-20
    leading_term: '0.988168190685'
    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/62400/a
    plot_delta:
      __RealLiteral__: 0
      data: '0.25'
      prec: 14
    plot_values:
    - 0.9881681906851034
    - 0.5973663067869105
    - -0.2809040282816829
    - -0.7857263264361992
    - 0.1072289068053869
    - 2.607408672702826
    - 5.397601694500652
    - 6.340259225513187
    - 4.449591618384872
    - 1.190152449222566
    - -0.7459438286568145
    - -0.3376282230157085
    - 0.5217089423652577
    - -0.6172033863409032
    - -3.370053534520645
    - -4.645895625034916
    - -2.678492471352558
    - 0.2455698577349417
    - 0.5120530922955286
    - -1.938061510239169
    - -3.477056586570663
    - -1.917433872901582
    - 0.4828425572207572
    - 0.6877006736477494
    - -0.4310729601092358
    - 0.1464378997786278
    - 2.234585249666378
    - 2.559472299519497
    - 0.4879008648210468
    - -0.5202138605855909
    - 0.9922872094946622
    - 1.082954137948831
    - -3.307160891386855
    - -8.09454780187945
    - -7.205316894918972
    - -1.916862676369757
    - 0.9598687999607793
    - -0.5263742520404456
    - -1.559677395526065
    - 0.3618265046804374
    - 1.637962587265002
    - 0.112010933104271
    - -0.7634493378008104
    - 1.005772739979293
    - 1.561237020481869
    - -1.369702364700625
    - -3.181511385849732
    - -0.2192290122380754
    - 3.305739860272894
    - 2.529915744414039
    - -0.003487657502382708
    - -0.2073018737002978
    - -0.007543365635271917
    - -1.769937016197075
    - -2.059633509201514
    - 0.9390525000021139
    - 1.181756331217071
    - -4.952440059859791
    - -9.84571891508484
    - -6.119507353017548
    - 0.8329628000173426
    - 2.208262693609127
    - -0.333071090969124
    - -0.701632851397873
    - 0.1580011856391819
    - -0.6919454389728414
    - -0.4459552849473573
    - 2.450634868055389
    - 2.966907572002664
    - -0.603601985019522
    - -2.074493751436279
    - 0.6579881742608777
    - 1.42034594244807
    - -1.391458738304204
    - -1.689844616815095
    - 1.209961304929786
    - 1.419418479633382
    - -0.46363152734491
    - 1.01319241052187
    - 3.12950246393531
    - 0.09902369234067591
    - -3.488532498298555
    - -1.042624231937471
    - 2.015946398068466
    - -1.067108812687406
    - -4.472300558466326
    - -1.73699774763529
    - 1.666865613803945
    - 0.542779639207381
    - -0.4298914531044293
    - 1.369211489037306
    - 1.425616357798539
    - -0.3728269224470574
    - 0.03468656570157609
    - 0.1598784944549695
    - -3.052688673351526
    - -3.748018803783825
    - 1.0570921579161
    - 3.195502565924872
    - -0.4043443641635864
    - -1.113448178525562
    - 2.893073945892801
    - 3.031545967288883
    - -0.8814774396753006
    - -1.133748384359256
    - 0.7661366839112206
    - -0.5260028536691856
    - -0.8274998928522949
    - 2.416803224278163
    - 1.425861491220412
    - -4.891382604488803
    - -6.055356744713551
    - -0.5870830092135335
    - 1.856244609242291
    - -0.04164485973892918
    - -0.3379644425352943
    - 0.1919549158094328
    - -0.3717265918220506
    - 0.8269699816060372
    - 1.027300425555109
    - -4.832772759354277
    positive_zeros:
    - '0.4228559436044133'
    - '0.9844871708355888'
    - '2.365429694178106'
    - '2.823038671928265'
    - '3.172865260553151'
    - '4.221956937238725'
    - '4.567714737985983'
    - '5.435595033819698'
    - '5.892077171048054'
    - '6.228312497618771'
    - '7.060588858224556'
    - '7.363994519322160'
    - '7.837692323645034'
    - '8.862250555530726'
    - '9.191339335277397'
    - '9.713136150650387'
    - '10.26424860829858'
    - '10.63269560403113'
    - '11.15285543547952'
    - '11.76233421783435'
    - '12.49945571520379'
    - '12.82127258692678'
    - '12.99784026868604'
    - '13.67836805489337'
    - '14.06841834251549'
    - '14.96173618617562'
    - '15.46291035548194'
    - '15.91134758473482'
    - '16.09504291541563'
    - '16.54855663655798'
    - '17.21110618211962'
    - '17.69690258126765'
    - '18.13508189324740'
    - '18.64595566895077'
    - '19.16495532141440'
    - '19.40622605547395'
    prelabel: 2-62400-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 22.321884073993168
    root_angle: 0.0
    root_number: '1'
    self_dual: true
    spectral_label: c1-0
    st_group: SU(2)
    trace_hash: 2238871682284673178
    z1:
      __RealLiteral__: 0
      data: '0.4228559436044133'
      prec: 60
    z2:
      __RealLiteral__: 0
      data: '0.9844871708355888'
      prec: 60
    z3:
      __RealLiteral__: 0
      data: '2.365429694178106'
      prec: 57
- - algebraic: true
    analytic_conductor: 498.26650861278983
    bad_primes:
    - 2
    - 3
    - 5
    - 13
    central_character: '1.1'
    conductor: 62400
    conductor_radical: 390
    degree: 2
    dirichlet_coefficients:
    - 1
    - 0
    - -1
    - 0
    - 0
    - 0
    - -5
    - 0
    - 1
    - 0
    - -5
    - 0
    - -1
    - 0
    - 0
    - 0
    - -3
    - 0
    - 4
    - 0
    - 5
    - 0
    - 5
    - 0
    - 0
    - 0
    - -1
    - 0
    - 4
    - 0
    - 0
    - 0
    - 5
    - 0
    - 0
    - 0
    - 7
    - 0
    - 1
    - 0
    - 11
    - 0
    - 12
    - 0
    - 0
    - 0
    - 6
    - 0
    - 18
    - 0
    - 3
    - 0
    - -1
    - 0
    - 0
    - 0
    - -4
    - 0
    - -12
    - 0
    - 7
    - 0
    - -5
    - 0
    - 0
    - 0
    - -4
    - 0
    - -5
    - 0
    - -7
    - 0
    - -14
    - 0
    - 0
    - 0
    - 25
    - 0
    - -5
    - 0
    - 1
    - 0
    - 2
    - 0
    - 0
    - 0
    - -4
    - 0
    - -3
    - 0
    - 5
    - 0
    - 0
    - 0
    - 0
    - 0
    - -1
    - 0
    - -5
    - 0
    euler11:
    - 1
    - 5
    - 11
    euler13:
    - 1
    - 1
    - 0
    euler17:
    - 1
    - 3
    - 17
    euler19:
    - 1
    - -4
    - 19
    euler2:
    - 1
    - 0
    - 0
    euler23:
    - 1
    - -5
    - 23
    euler29:
    - 1
    - -4
    - 29
    euler3:
    - 1
    - 1
    - 0
    euler31:
    - 1
    - 0
    - 31
    euler37:
    - 1
    - -7
    - 37
    euler41:
    - 1
    - -11
    - 41
    euler43:
    - 1
    - -12
    - 43
    euler47:
    - 1
    - -6
    - 47
    euler5:
    - 1
    - 0
    - 0
    euler53:
    - 1
    - 1
    - 53
    euler59:
    - 1
    - 12
    - 59
    euler61:
    - 1
    - -7
    - 61
    euler67:
    - 1
    - 4
    - 67
    euler7:
    - 1
    - 5
    - 7
    euler71:
    - 1
    - 7
    - 71
    euler73:
    - 1
    - 14
    - 73
    euler79:
    - 1
    - 5
    - 79
    euler83:
    - 1
    - -2
    - 83
    euler89:
    - 1
    - 3
    - 89
    euler97:
    - 1
    - 1
    - 97
    euler_factors:
    - - 1
      - 0
      - 0
    - - 1
      - 1
      - 0
    - - 1
      - 0
      - 0
    - - 1
      - 5
      - 7
    - - 1
      - 5
      - 11
    - - 1
      - 1
      - 0
    - - 1
      - 3
      - 17
    - - 1
      - -4
      - 19
    - - 1
      - -5
      - 23
    - - 1
      - -4
      - 29
    - - 1
      - 0
      - 31
    - - 1
      - -7
      - 37
    - - 1
      - -11
      - 41
    - - 1
      - -12
      - 43
    - - 1
      - -6
      - 47
    - - 1
      - 1
      - 53
    - - 1
      - 12
      - 59
    - - 1
      - -7
      - 61
    - - 1
      - 4
      - 67
    - - 1
      - 7
      - 71
    - - 1
      - 14
      - 73
    - - 1
      - 5
      - 79
    - - 1
      - -2
      - 83
    - - 1
      - 3
      - 89
    - - 1
      - 1
      - 97
    id: 7924569
    index: 20
    instance_types:
    - ECQ
    instance_urls:
    - EllipticCurve/Q/62400/a
    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: 2-62400-1.1-c1-0-20
    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: 2-62400-1.1-c1-0
    primitive: true
    rational: true
    root_analytic_conductor: 22.321884073993168
    root_angle: 0.0
    self_dual: true
    spectral_label: c1-0
    trace_hash: 2238871682284673178
    z1:
      __RealLiteral__: 0
      data: '0.4228559436044133'
      prec: 60
- - Lhash: '2238871682284673178'
    Lhash_array:
    - '2238871682284673178'
    id: 73825
    label: 2-62400-1.1-c1-0-20
    type: ECQ
    url: EllipticCurve/Q/62400/a
label_cols:
- label
- label
- label
labels:
- 2-62400-1.1-c1-0-20
- 2-62400-1.1-c1-0-20
- 2-62400-1.1-c1-0-20
tables:
- lfunc_lfunctions
- lfunc_search
- lfunc_instances
timestamp: '2024-04-25T14:35:17.838412'