data:
- - Ciso: 36822i
    Clabel: 36822i5
    Cnumber: 5
    abc_quality: 1.036242441540377
    absD: 5907251780174709378
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 5168
    ainvs:
    - 1
    - 1
    - 0
    - -593491
    - 211044199
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 17
    - 19
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 36822
    degree: 884736
    elladic_images:
    - 8.48.0.224
    faltings_height:
      __RealLiteral__: 0
      data: '2.3192977752246924842423407726'
      prec: 100
    faltings_index: 5
    faltings_ratio: 8
    id: 245338
    iso_nlabel: 4
    isogeny_degrees:
    - 1
    - 2
    - 4
    - 8
    jinv:
    - -491411892194497
    - 125563633938
    lmfdb_iso: 36822.e
    lmfdb_label: 36822.e3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 0
    - -1644
    - -30942
    min_quad_twist_disc: -19
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 8.48.0.m.2
    - 76.12.0.?
    - 152.96.0.?
    - 272.96.1.?
    - 5168.192.1.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 6
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '0.66861399107055033725235850742'
      prec: 103
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.84707828564147225423782705666'
      prec: 103
    szpiro_ratio: 4.932602245445719
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - -1
    - 1
    - -2
    - 1
    - 0
    - -1
    - 1
    - 2
    - -4
    - -1
    - 2
    - 0
    - 2
    - 1
    - 1
    - -1
    - 0
    - -2
    aplist:
    - -1
    - -1
    - -2
    - 0
    - -4
    - 2
    - 1
    - 0
    - 0
    - 10
    - -8
    - 2
    - -10
    - 12
    - 0
    - -6
    - -12
    - -10
    - 12
    - 0
    - 10
    - 8
    - 4
    - 6
    - 14
    class_deg: 8
    class_size: 6
    conductor: 36822
    id: 155841
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
      - 8
      - 8
    - - 2
      - 1
      - 2
      - 2
      - 4
      - 4
    - - 4
      - 2
      - 1
      - 4
      - 8
      - 8
    - - 4
      - 2
      - 4
      - 1
      - 2
      - 2
    - - 8
      - 4
      - 8
      - 2
      - 1
      - 4
    - - 8
      - 4
      - 8
      - 2
      - 4
      - 1
    lmfdb_iso: 36822.e
    trace_hash: 869768459210792631
- - area:
      __RealLiteral__: 0
      data: '0.0096712709058920045336937787698'
      prec: 110
    conductor: 36822
    gens:
    - - 625
      - 8893
      - 1
    heights:
    - __RealLiteral__: 0
      data: '0.66861399107055033725235850742'
      prec: 103
    id: 245338
    lmfdb_label: 36822.e3
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '0.22792036965624663519621564981'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.4382519680342115165566917164466951848'
      prec: 130
    tamagawa_product: 64
    torsion_generators:
    - - -3637
      - 3637
      - 2
    xcoord_integral_points:
    - -259
    - 319
    - 625
- - id: 245338
    iwdata:
      '11':
      - 1
      - 0
      '13':
      - 1
      - 0
      '17':
      - 2
      - 0
      '19': a
      '2':
      - 5
      - 1
      '23':
      - 1
      - 1
      - 0
      '29':
      - 1
      - 0
      '3':
      - 1
      - 0
      '31':
      - 1
      - 0
      '37':
      - 1
      - 0
      '41':
      - 1
      - 0
      '43':
      - 1
      - 0
      '47':
      - 1
      - 3
      - 0
      '5':
      - 3
      - 0
      '7':
      - 1
      - 1
      - 0
    iwp0: 0
    lmfdb_label: 36822.e3
- - degree: 2
    field:
    - -19
    - 0
    - 1
    id: 1822205
    lmfdb_label: 36822.e3
    torsion:
    - 4
  - degree: 2
    field:
    - 2
    - 0
    - 1
    id: 1822204
    lmfdb_label: 36822.e3
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 38
    - 0
    - 1
    id: 1822206
    lmfdb_label: 36822.e3
    torsion:
    - 4
  - degree: 4
    field:
    - 25
    - 0
    - -9
    - 0
    - 1
    id: 1822209
    lmfdb_label: 36822.e3
    torsion:
    - 8
  - degree: 4
    field:
    - 81
    - 0
    - -20
    - 0
    - 1
    id: 1822208
    lmfdb_label: 36822.e3
    torsion:
    - 8
  - degree: 4
    field:
    - 81
    - 0
    - 20
    - 0
    - 1
    id: 1822207
    lmfdb_label: 36822.e3
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -138598
    - 10189
    - 36749
    - -12395
    - 2129
    - -293
    - 91
    - -1
    - 1
    id: 1822213
    lmfdb_label: 36822.e3
    torsion:
    - 6
  - degree: 8
    field:
    - 391
    - -1508
    - 1622
    - -248
    - 175
    - -64
    - 26
    - -4
    - 1
    id: 1822211
    lmfdb_label: 36822.e3
    torsion:
    - 8
  - degree: 8
    field:
    - 625
    - 0
    - 0
    - 0
    - 31
    - 0
    - 0
    - 0
    - 1
    id: 1822212
    lmfdb_label: 36822.e3
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 1507
    - 508
    - -322
    - -392
    - 247
    - -64
    - 26
    - -4
    - 1
    id: 1822210
    lmfdb_label: 36822.e3
    torsion:
    - 2
    - 4
  - degree: 16
    field:
    - -79556175
    - -686572200
    - -430999704
    - 269439696
    - 160813944
    - -48747096
    - -28410408
    - 3589920
    - 2948830
    - -123768
    - -188456
    - 3024
    - 7512
    - -72
    - -152
    - 0
    - 1
    id: 1822216
    lmfdb_label: 36822.e3
    torsion:
    - 16
  - degree: 16
    field:
    - 88357
    - 265912
    - -119506
    - -451096
    - 680376
    - -722164
    - 568270
    - -351392
    - 184053
    - -76860
    - 28858
    - -8344
    - 2240
    - -420
    - 80
    - -8
    - 1
    id: 1822217
    lmfdb_label: 36822.e3
    torsion:
    - 16
  - degree: 16
    field:
    - 161449
    - 56456
    - -88720
    - -12696
    - 281504
    - -577928
    - 660760
    - -516768
    - 285265
    - -122712
    - 44140
    - -11896
    - 3014
    - -504
    - 92
    - -8
    - 1
    id: 1822214
    lmfdb_label: 36822.e3
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 385747
    - -544504
    - 1035284
    - -1151808
    - 1045310
    - -692888
    - 468664
    - -249384
    - 124567
    - -49848
    - 18928
    - -5656
    - 1610
    - -336
    - 68
    - -8
    - 1
    id: 1822215
    lmfdb_label: 36822.e3
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 749956
    - 0
    - -619331
    - 0
    - -14174
    - 0
    - -40557
    - 0
    - 21987
    - 0
    - -5673
    - 0
    - 667
    - 0
    - -38
    - 0
    - 1
    id: 1822219
    lmfdb_label: 36822.e3
    torsion:
    - 12
  - degree: 16
    field:
    - 34668544
    - 0
    - 75249304
    - 0
    - 26950084
    - 0
    - 5175000
    - 0
    - 618204
    - 0
    - 48852
    - 0
    - 2488
    - 0
    - 76
    - 0
    - 1
    id: 1822220
    lmfdb_label: 36822.e3
    torsion:
    - 12
  - degree: 16
    field:
    - 16751607184
    - 0
    - 9860108368
    - 0
    - 85002340
    - 0
    - -6357984
    - 0
    - 971376
    - 0
    - 8724
    - 0
    - -1076
    - 0
    - 4
    - 0
    - 1
    id: 1822218
    lmfdb_label: 36822.e3
    torsion:
    - 2
    - 6
- - conductor: 36822
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 868114
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 36822.e3
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 36822
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 868115
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 36822.e3
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 36822
    conductor_valuation: 1
    discriminant_valuation: 8
    id: 868116
    j_denominator_valuation: 8
    kodaira_symbol: 12
    lmfdb_label: 36822.e3
    prime: 17
    reduction_type: 1
    root_number: -1
    tamagawa_number: 8
  - conductor: 36822
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 868117
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 36822.e3
    prime: 19
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 4865
      - 2736
      - 4104
      - 1217
    - - 815
      - 0
      - 0
      - 5167
    - - 1
      - 16
      - 0
      - 1
    - - 5153
      - 16
      - 5152
      - 17
    - - 628
      - 4693
      - 3287
      - 4770
    - - 1198
      - 4693
      - 1881
      - 4770
    - - 15
      - 2
      - 5070
      - 5155
    - - 1
      - 0
      - 16
      - 1
    - - 5
      - 4
      - 5164
      - 5165
    adelic_image: 5168.192.1.?
    conductor: 36822
    id: 1910123
    lmfdb_label: 36822.e3
    prime: 0
  - conductor: 36822
    elladic_image: 8.48.0.224
    id: 162896
    lmfdb_label: 36822.e3
    modell_image: 2B
    prime: 2
- - id: 1813392
    lmfdb_iso: 36822.e
    p: 5
    prec: 20
    unit: 3579908849363
    val: 2
  - id: 1813378
    lmfdb_iso: 36822.e
    p: 11
    prec: 20
    unit: 54931861997953858419
    val: 1
  - id: 1813384
    lmfdb_iso: 36822.e
    p: 13
    prec: 20
    unit: 165450060722517979615
    val: 1
  - id: 1813383
    lmfdb_iso: 36822.e
    p: 29
    prec: 20
    unit: 3590467130177445835471889567
    val: 1
  - id: 1813380
    lmfdb_iso: 36822.e
    p: 31
    prec: 20
    unit: 6888011341471445418779541006
    val: 1
  - id: 1813379
    lmfdb_iso: 36822.e
    p: 37
    prec: 20
    unit: 352063087456145756749893439124
    val: 1
  - id: 1813381
    lmfdb_iso: 36822.e
    p: 41
    prec: 20
    unit: 2129411325574932948920369178546
    val: 1
  - id: 1813382
    lmfdb_iso: 36822.e
    p: 43
    prec: 20
    unit: 909697616670721292543869289680
    val: 1
  - id: 1813387
    lmfdb_iso: 36822.e
    p: 53
    prec: 20
    unit: 315652996005384358143232095221915
    val: 1
  - id: 1813390
    lmfdb_iso: 36822.e
    p: 59
    prec: 20
    unit: 3157968290126377189252523889449398
    val: 1
  - id: 1813391
    lmfdb_iso: 36822.e
    p: 61
    prec: 20
    unit: 807934184944203746412344232133544
    val: 1
  - id: 1813377
    lmfdb_iso: 36822.e
    p: 67
    prec: 20
    unit: 6402858874433092271549775813041092
    val: 1
  - id: 1813388
    lmfdb_iso: 36822.e
    p: 73
    prec: 20
    unit: 77597450699312771580235613425140938
    val: 1
  - id: 1813385
    lmfdb_iso: 36822.e
    p: 79
    prec: 20
    unit: 37828841638265364320563580366779163
    val: 1
  - id: 1813386
    lmfdb_iso: 36822.e
    p: 83
    prec: 20
    unit: 2467201612708038115950849377814578135
    val: 1
  - id: 1813389
    lmfdb_iso: 36822.e
    p: 89
    prec: 20
    unit: 8280767368329926134523849897960010366
    val: 1
  - id: 1813376
    lmfdb_iso: 36822.e
    p: 97
    prec: 20
    unit: 25855956715738653542882122821264706565
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 36822.e3
- 36822.e
- 36822.e3
- 36822.e3
- 36822.e3
- 36822.e3
- 36822.e3
- 36822.e
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-20T09:55:03.744427'