data:
- - Ciso: 1122b
    Clabel: 1122b1
    Cnumber: 1
    abc_quality: 0.9879715979533532
    absD: 6915442583808
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 4488
    ainvs:
    - 1
    - 1
    - 0
    - -8279
    - -264363
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 11
    - 17
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 1122
    degree: 3840
    elladic_images:
    - 4.6.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '1.1971188085807445104888110347'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 5882
    iso_nlabel: 2
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 62768149033310713
    - 6915442583808
    lmfdb_iso: 1122.c
    lmfdb_label: 1122.c3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 1
    - 0
    - -8279
    - -264363
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 12.12.0-4.c.1.2
    - 44.12.0-4.c.1.2
    - 66.6.0.a.1
    - 132.24.0.?
    - 136.12.0.?
    - 408.24.0.?
    - 1496.24.0.?
    - 4488.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 1
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: true
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '1.1971188085807445104888110347'
      prec: 100
    szpiro_ratio: 5.507468413848784
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - -1
    - 1
    - 2
    - 1
    - 4
    - -1
    - 1
    - -2
    - 1
    - -1
    - 6
    - -4
    - -2
    - 1
    - -1
    - -1
    - 4
    - 2
    aplist:
    - -1
    - -1
    - 2
    - 4
    - 1
    - 6
    - -1
    - 4
    - 0
    - 2
    - 0
    - -10
    - -10
    - -4
    - 4
    - -2
    - 0
    - 2
    - 12
    - 0
    - -10
    - 4
    - -12
    - -14
    - 18
    class_deg: 4
    class_size: 4
    conductor: 1122
    id: 2887
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 1122.c
    trace_hash: 1088744706454325575
- - area:
      __RealLiteral__: 0
      data: '0.091242213911122507617640761156'
      prec: 107
    conductor: 1122
    gens: []
    heights: []
    id: 5882
    lmfdb_label: 1122.c3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.50407293108147352342047681308'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.5122187932444205702614304392330401619'
      prec: 130
    tamagawa_product: 12
    torsion_generators:
    - - -66
      - 33
      - 1
    xcoord_integral_points:
    - -66
- - id: 5882
    iwdata:
      '11':
      - 1
      - 0
      '17':
      - 0
      - 0
      '2':
      - 4
      - 0
      '3':
      - 2
      - 0
    iwp0: 5
    lmfdb_label: 1122.c3
- - degree: 2
    field:
    - -8
    - -1
    - 1
    id: 55286
    lmfdb_label: 1122.c3
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 1
    - -1
    - 1
    id: 55287
    lmfdb_label: 1122.c3
    torsion:
    - 4
  - degree: 2
    field:
    - 3
    - -1
    - 1
    id: 55288
    lmfdb_label: 1122.c3
    torsion:
    - 4
  - degree: 4
    field:
    - 9
    - -3
    - -2
    - -1
    - 1
    id: 55289
    lmfdb_label: 1122.c3
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -122
    - 137
    - -38
    - -3
    - 33
    - -21
    - 13
    - -4
    - 1
    id: 55293
    lmfdb_label: 1122.c3
    torsion:
    - 6
  - degree: 8
    field:
    - -74
    - -106
    - 5
    - 56
    - 40
    - -8
    - -10
    - -2
    - 1
    id: 55290
    lmfdb_label: 1122.c3
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 16
    - 24
    - 16
    - 6
    - -9
    - -3
    - 4
    - -3
    - 1
    id: 55291
    lmfdb_label: 1122.c3
    torsion:
    - 8
  - degree: 8
    field:
    - 837
    - -3582
    - 4556
    - -2010
    - 1161
    - -190
    - 68
    - -4
    - 1
    id: 55292
    lmfdb_label: 1122.c3
    torsion:
    - 8
  - degree: 16
    field:
    - 1
    - 6
    - 18
    - 36
    - 85
    - 252
    - 630
    - 798
    - 84
    - -798
    - 630
    - -252
    - 85
    - -36
    - 18
    - -6
    - 1
    id: 55294
    lmfdb_label: 1122.c3
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 256
    - 1088
    - 4112
    - 3552
    - 4364
    - 2560
    - 757
    - -990
    - 1687
    - -1248
    - 421
    - -322
    - 125
    - -36
    - 11
    - -2
    - 1
    id: 55295
    lmfdb_label: 1122.c3
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 1168
    - -2000
    - 2472
    - -912
    - 792
    - -1638
    - 2833
    - -2480
    - 1416
    - -780
    - 453
    - -240
    - 131
    - -70
    - 30
    - -8
    - 1
    id: 55298
    lmfdb_label: 1122.c3
    torsion:
    - 12
  - degree: 16
    field:
    - 4724
    - 21132
    - 16832
    - -46184
    - -26266
    - 33310
    - 23973
    - 19828
    - 7980
    - 250
    - 2589
    - -164
    - 445
    - -8
    - 34
    - 0
    - 1
    id: 55299
    lmfdb_label: 1122.c3
    torsion:
    - 12
  - degree: 16
    field:
    - 700569
    - -2998134
    - 9017352
    - -12954852
    - 12585559
    - -999186
    - -1816164
    - -849254
    - 684032
    - 30964
    - -41776
    - -5642
    - 2703
    - 108
    - -52
    - -4
    - 1
    id: 55296
    lmfdb_label: 1122.c3
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 76507128
    - 41096430
    - -52258743
    - -5130912
    - 12703990
    - 476610
    - -2304969
    - -48724
    - 282903
    - -234
    - -25153
    - 12
    - 1479
    - -8
    - -54
    - 0
    - 1
    id: 55297
    lmfdb_label: 1122.c3
    torsion:
    - 2
    - 6
- - conductor: 1122
    conductor_valuation: 1
    discriminant_valuation: 8
    id: 16178
    j_denominator_valuation: 8
    kodaira_symbol: 12
    lmfdb_label: 1122.c3
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 1122
    conductor_valuation: 1
    discriminant_valuation: 5
    id: 16179
    j_denominator_valuation: 5
    kodaira_symbol: 9
    lmfdb_label: 1122.c3
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 1122
    conductor_valuation: 1
    discriminant_valuation: 3
    id: 16180
    j_denominator_valuation: 3
    kodaira_symbol: 7
    lmfdb_label: 1122.c3
    prime: 11
    reduction_type: 1
    root_number: -1
    tamagawa_number: 3
  - conductor: 1122
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 16181
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 1122.c3
    prime: 17
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 1
      - 0
      - 8
      - 1
    - - 2996
      - 1
      - 1519
      - 6
    - - 2809
      - 2808
      - 574
      - 2815
    - - 1
      - 8
      - 0
      - 1
    - - 7
      - 6
      - 4482
      - 4483
    - - 1
      - 4
      - 4
      - 17
    - - 3272
      - 3
      - 2045
      - 2
    - - 3931
      - 3930
      - 2818
      - 571
    - - 1057
      - 8
      - 4228
      - 33
    - - 4481
      - 8
      - 4480
      - 9
    adelic_image: 4488.48.0.?
    conductor: 1122
    id: 1671650
    lmfdb_label: 1122.c3
    prime: 0
  - conductor: 1122
    elladic_image: 4.6.0.1
    id: 5332
    lmfdb_label: 1122.c3
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1122.c3
- 1122.c
- 1122.c3
- 1122.c3
- 1122.c3
- 1122.c3
- 1122.c3
- 1122.c
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-26T10:43:16.694624'