data:
- - Ciso: 89232bd
    Clabel: 89232bd3
    Cnumber: 3
    abc_quality: 0.9574733148525506
    absD: 74405788108598808576
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 3432
    ainvs:
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    - -1
    - 0
    - -1281752
    - -373379280
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 11
    - 13
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 89232
    degree: 2752512
    elladic_images:
    - 8.24.0.11
    faltings_height:
      __RealLiteral__: 0
      data: '2.5167174981976284988137334574'
      prec: 100
    faltings_index: 3
    faltings_ratio: 4
    id: 587646
    iso_nlabel: 25
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 11779205551777
    - 3763454409
    lmfdb_iso: 89232.z
    lmfdb_label: 89232.z3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
    - 0
    - -474
    - 2619
    min_quad_twist_disc: -52
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0.b.1
    - 8.24.0-4.b.1.8
    - 12.24.0.c.1
    - 24.48.0-12.c.1.15
    - 52.24.0-4.b.1.3
    - 88.48.0.?
    - 104.48.0.?
    - 156.48.0.?
    - 264.96.0.?
    - 312.96.0.?
    - 1144.96.0.?
    - 3432.192.1.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 3
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.54109563890691482136975761516'
      prec: 103
    szpiro_ratio: 4.72013709712213
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
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    - 1
    - 0
    - -1
    - 0
    - 2
    - 0
    - 0
    - 0
    - 1
    - 0
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    - 0
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    aplist:
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    - 8
    - -10
    - -12
    - 14
    - -12
    - 0
    - 6
    - -8
    - 12
    - -2
    - 14
    class_deg: 8
    class_size: 6
    conductor: 89232
    id: 388699
    isogeny_matrix:
    - - 1
      - 8
      - 4
      - 2
      - 4
      - 8
    - - 8
      - 1
      - 2
      - 4
      - 8
      - 4
    - - 4
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      - 1
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      - 2
    - - 2
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      - 2
      - 1
      - 2
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    - - 4
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      - 2
      - 1
      - 8
    - - 8
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      - 2
      - 4
      - 8
      - 1
    lmfdb_iso: 89232.z
    trace_hash: 1626315184931307192
- - area:
      __RealLiteral__: 0
      data: '0.0065163883120455832348604271088'
      prec: 110
    conductor: 89232
    gens: []
    heights: []
    id: 587646
    lmfdb_label: 89232.z3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.14547327974974701240507135653'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.58189311899898804962028542611909508835'
      prec: 133
    tamagawa_product: 64
    torsion_generators:
    - - -316
      - 0
      - 1
    - - 1257
      - 0
      - 1
    xcoord_integral_points:
    - -940
    - -316
    - 1257
- - id: 587646
    iwdata:
      '11':
      - 0
      - 0
      '13': a
      '2': a
      '3':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 89232.z3
- - degree: 2
    field:
    - -3
    - -1
    - 1
    id: 4174070
    lmfdb_label: 89232.z3
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 16
    - 0
    - 5
    - 0
    - 1
    id: 4174071
    lmfdb_label: 89232.z3
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 169
    - 0
    - -13
    - 0
    - 1
    id: 4174072
    lmfdb_label: 89232.z3
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -85683
    - 0
    - -7592
    - 0
    - -1014
    - 0
    - 0
    - 0
    - 1
    id: 4174076
    lmfdb_label: 89232.z3
    torsion:
    - 2
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  - degree: 8
    field:
    - 81
    - 0
    - -63
    - 0
    - 40
    - 0
    - -7
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    - 1
    id: 4174073
    lmfdb_label: 89232.z3
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 1444
    - 0
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    - 0
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    - 0
    - -10
    - 0
    - 1
    id: 4174074
    lmfdb_label: 89232.z3
    torsion:
    - 2
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  - degree: 8
    field:
    - 3793
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    - -2780
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    - 236
    - -74
    - -4
    - 1
    id: 4174075
    lmfdb_label: 89232.z3
    torsion:
    - 2
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  - degree: 16
    field:
    - 22932
    - 58968
    - 42156
    - 24840
    - 47982
    - 25704
    - 12018
    - 10008
    - 6697
    - 492
    - 2158
    - -96
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    - -12
    - 28
    - 0
    - 1
    id: 4174077
    lmfdb_label: 89232.z3
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 59049
    - 0
    - -49113
    - 0
    - -2097
    - 0
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    - 0
    - -35517
    - 0
    - 2662
    - 0
    - -186
    - 0
    - 0
    - 0
    - 1
    id: 4174079
    lmfdb_label: 89232.z3
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 36321652
    - 427440
    - -7511640
    - -3910608
    - -462146
    - 1358760
    - 308340
    - -229710
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    - -1326
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    - 0
    - -60
    - 0
    - 1
    id: 4174078
    lmfdb_label: 89232.z3
    torsion:
    - 2
    - 8
- - conductor: 89232
    conductor_valuation: 4
    discriminant_valuation: 12
    id: 2180840
    j_denominator_valuation: 0
    kodaira_symbol: -8
    lmfdb_label: 89232.z3
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 89232
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 2180841
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 89232.z3
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 89232
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 2180842
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 89232.z3
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 89232
    conductor_valuation: 2
    discriminant_valuation: 10
    id: 2180843
    j_denominator_valuation: 4
    kodaira_symbol: -8
    lmfdb_label: 89232.z3
    prime: 13
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
- - adelic_gens:
    - - 1151
      - 6
      - 3426
      - 3427
    - - 3425
      - 8
      - 3424
      - 9
    - - 791
      - 3428
      - 0
      - 3431
    - - 937
      - 8
      - 316
      - 33
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 3431
      - 2566
      - 0
      - 857
    - - 5
      - 4
      - 3428
      - 3429
    - - 1721
      - 860
      - 880
      - 1725
    adelic_image: 3432.192.1.?
    conductor: 89232
    id: 2251645
    lmfdb_label: 89232.z3
    prime: 0
  - conductor: 89232
    elladic_image: 8.24.0.11
    id: 362836
    lmfdb_label: 89232.z3
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 89232.z3
- 89232.z
- 89232.z3
- 89232.z3
- 89232.z3
- 89232.z3
- 89232.z3
- 89232.z
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-21T17:04:13.637359'