data:
- - Ciso: 72128b
    Clabel: 72128b1
    Cnumber: 1
    abc_quality: 0.7946684976008203
    absD: 4965397692416
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 1288
    ainvs:
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    - 0
    - 0
    - -11564
    - 466480
    analytic_rank: 0
    bad_primes:
    - 2
    - 7
    - 23
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 72128
    degree: 122880
    elladic_images:
    - 8.12.0.8
    faltings_height:
      __RealLiteral__: 0
      data: '1.2138948176141840451325122297'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 476485
    iso_nlabel: 29
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 5545233
    - 161
    lmfdb_iso: 72128.bd
    lmfdb_label: 72128.bd3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
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    - -1
    - 1
    - -4
    - -2
    min_quad_twist_disc: -56
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 8.12.0-4.c.1.4
    - 56.24.0-56.z.1.11
    - 184.24.0.?
    - 322.6.0.?
    - 644.12.0.?
    - 1288.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.79878102775339057154601232421'
      prec: 107
    szpiro_ratio: 3.547278599061871
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
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    - 1
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    - 0
    - 0
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    - 0
    - 0
    - 0
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    - 0
    - 0
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    aplist:
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    - 0
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    - 14
    - 8
    - -4
    - -6
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    class_deg: 4
    class_size: 4
    conductor: 72128
    id: 312209
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 72128.bd
    trace_hash: 2092223911921837990
- - area:
      __RealLiteral__: 0
      data: '0.088231641315584293039344219518'
      prec: 107
    conductor: 72128
    gens: []
    heights: []
    id: 476485
    lmfdb_label: 72128.bd3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.76522818395723206739469841883'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.0609127358289282695787936753400710301'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - 70
      - 0
      - 1
    xcoord_integral_points:
    - 70
- - id: 476485
    iwdata:
      '2': a
      '23':
      - 0
      - 0
      '7': a
    iwp0: 3
    lmfdb_label: 72128.bd3
- - degree: 2
    field:
    - -322
    - 0
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    id: 3419115
    lmfdb_label: 72128.bd3
    torsion:
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  - degree: 2
    field:
    - -40
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    id: 3419114
    lmfdb_label: 72128.bd3
    torsion:
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    - 2
  - degree: 2
    field:
    - -2
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    id: 3419116
    lmfdb_label: 72128.bd3
    torsion:
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  - degree: 4
    field:
    - 1442
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    id: 3419117
    lmfdb_label: 72128.bd3
    torsion:
    - 2
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  - degree: 8
    field:
    - -2352
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    - 504
    - 0
    - 168
    - 0
    - 0
    - 0
    - 1
    id: 3419121
    lmfdb_label: 72128.bd3
    torsion:
    - 6
  - degree: 8
    field:
    - 497
    - -224
    - 266
    - -84
    - 43
    - -4
    - 6
    - -4
    - 1
    id: 3419120
    lmfdb_label: 72128.bd3
    torsion:
    - 8
  - degree: 8
    field:
    - 784
    - 0
    - -3472
    - 0
    - 844
    - 0
    - -60
    - 0
    - 1
    id: 3419119
    lmfdb_label: 72128.bd3
    torsion:
    - 8
  - degree: 8
    field:
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    id: 3419118
    lmfdb_label: 72128.bd3
    torsion:
    - 2
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  - degree: 16
    field:
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    id: 3419126
    lmfdb_label: 72128.bd3
    torsion:
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  - degree: 16
    field:
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    id: 3419127
    lmfdb_label: 72128.bd3
    torsion:
    - 12
  - degree: 16
    field:
    - 1225
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    id: 3419124
    lmfdb_label: 72128.bd3
    torsion:
    - 2
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  - degree: 16
    field:
    - 2304
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    id: 3419125
    lmfdb_label: 72128.bd3
    torsion:
    - 2
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  - degree: 16
    field:
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    id: 3419123
    lmfdb_label: 72128.bd3
    torsion:
    - 2
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  - degree: 16
    field:
    - 87578116096
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    - 0
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    id: 3419122
    lmfdb_label: 72128.bd3
    torsion:
    - 4
    - 4
- - conductor: 72128
    conductor_valuation: 6
    discriminant_valuation: 18
    id: 1748227
    j_denominator_valuation: 0
    kodaira_symbol: -12
    lmfdb_label: 72128.bd3
    prime: 2
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
  - conductor: 72128
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 1748228
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 72128.bd3
    prime: 7
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 72128
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 1748229
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 72128.bd3
    prime: 23
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 0
      - 8
      - 1
    - - 1096
      - 1285
      - 363
      - 1286
    - - 1281
      - 8
      - 1280
      - 9
    - - 1
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      - 0
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    - - 1
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      - 4
      - 17
    - - 169
      - 164
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      - 807
    - - 157
      - 158
      - 470
      - 1117
    - - 1124
      - 1
      - 23
      - 6
    - - 7
      - 6
      - 1282
      - 1283
    adelic_image: 1288.48.0.?
    conductor: 72128
    id: 2140691
    lmfdb_label: 72128.bd3
    prime: 0
  - conductor: 72128
    elladic_image: 8.12.0.8
    id: 299456
    lmfdb_label: 72128.bd3
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 72128.bd3
- 72128.bd
- 72128.bd3
- 72128.bd3
- 72128.bd3
- 72128.bd3
- 72128.bd3
- 72128.bd
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-18T02:05:07.041699'