data:
- - Ciso: 120a
    Clabel: 120a6
    Cnumber: 6
    abc_quality: 1.077292860781558
    absD: 2400000000
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 240
    ainvs:
    - 0
    - 1
    - 0
    - -80
    - -2400
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 120
    degree: 64
    elladic_images:
    - 8.48.0.175
    faltings_height:
      __RealLiteral__: 0
      data: '0.47999886506991459138871606774'
      prec: 103
    faltings_index: 5
    faltings_ratio: 8
    id: 383
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    - 4
    - 8
    jinv:
    - -27995042
    - 1171875
    lmfdb_iso: 120.b
    lmfdb_label: 120.b3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - 1
    - 0
    - -80
    - -2400
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.2
    - 8.48.0-8.ba.1.1
    - 24.96.0-24.bo.1.2
    - 80.96.0.?
    - 240.192.1.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.15538605044336860891041337693'
      prec: 107
    szpiro_ratio: 6.071485050592715
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - 1
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - -4
    - 0
    - 6
    - 0
    - 1
    - 0
    - -6
    - 0
    - -4
    - 0
    aplist:
    - 0
    - 1
    - 1
    - 0
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    - 6
    - -6
    - -4
    - 0
    - -2
    - -8
    - -2
    - -6
    - 12
    - 8
    - 6
    - 12
    - 14
    - 4
    - 8
    - -6
    - -8
    - -12
    - 10
    - 2
    class_deg: 8
    class_size: 6
    conductor: 120
    id: 124
    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: 120.b
    trace_hash: 704992717552055982
- - area:
      __RealLiteral__: 0
      data: '0.38289375508940997054188040984'
      prec: 103
    conductor: 120
    gens: []
    heights: []
    id: 383
    lmfdb_label: 120.b3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.63474713898166649492320321353'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.2694942779633329898464064270624422458'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - 15
      - 0
      - 1
    xcoord_integral_points:
    - 15
- - id: 383
    iwdata:
      '2': a
      '3':
      - 3
      - 0
      '5':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 120.b3
- - degree: 2
    field:
    - -6
    - 0
    - 1
    id: 4552
    lmfdb_label: 120.b3
    torsion:
    - 4
  - degree: 2
    field:
    - 1
    - 0
    - 1
    id: 4553
    lmfdb_label: 120.b3
    torsion:
    - 8
  - degree: 2
    field:
    - 6
    - 0
    - 1
    id: 4551
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 4556
    lmfdb_label: 120.b3
    torsion:
    - 8
  - degree: 4
    field:
    - 9
    - 0
    - 0
    - 0
    - 1
    id: 4554
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 8
  - degree: 4
    field:
    - 24
    - 0
    - 0
    - 0
    - 1
    id: 4555
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -3
    - 0
    - -28
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 4559
    lmfdb_label: 120.b3
    torsion:
    - 6
  - degree: 8
    field:
    - 25
    - 0
    - 76
    - 0
    - -6
    - 0
    - 4
    - 0
    - 1
    id: 4557
    lmfdb_label: 120.b3
    torsion:
    - 4
    - 8
  - degree: 8
    field:
    - 36
    - 0
    - -60
    - 0
    - 38
    - 0
    - -10
    - 0
    - 1
    id: 4558
    lmfdb_label: 120.b3
    torsion:
    - 16
  - degree: 16
    field:
    - 1
    - 0
    - 0
    - 0
    - 66
    - 0
    - 0
    - 0
    - 491
    - 0
    - 0
    - 0
    - 66
    - 0
    - 0
    - 0
    - 1
    id: 4561
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 16
  - degree: 16
    field:
    - 576
    - -2304
    - 4608
    - -4416
    - 1536
    - 1824
    - -2656
    - 2368
    - -1040
    - -48
    - 328
    - -256
    - 164
    - -84
    - 32
    - -8
    - 1
    id: 4566
    lmfdb_label: 120.b3
    torsion:
    - 24
  - degree: 16
    field:
    - 576
    - 0
    - 0
    - 0
    - 9216
    - 0
    - 0
    - 0
    - 816
    - 0
    - 0
    - 0
    - -384
    - 0
    - 0
    - 0
    - 1
    id: 4563
    lmfdb_label: 120.b3
    torsion:
    - 16
  - degree: 16
    field:
    - 1296
    - 0
    - -1728
    - 0
    - 576
    - 0
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    - 0
    - 1656
    - 0
    - -264
    - 0
    - 36
    - 0
    - -12
    - 0
    - 1
    id: 4565
    lmfdb_label: 120.b3
    torsion:
    - 12
  - degree: 16
    field:
    - 1296
    - 0
    - 1728
    - 0
    - 576
    - 0
    - 5616
    - 0
    - 1656
    - 0
    - 264
    - 0
    - 36
    - 0
    - 12
    - 0
    - 1
    id: 4564
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 2916
    - 0
    - 0
    - 0
    - 2592
    - 0
    - 0
    - 0
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    - 0
    - 0
    - 0
    - -48
    - 0
    - 0
    - 0
    - 1
    id: 4560
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 6561
    - 0
    - 0
    - 0
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    - 0
    - 0
    - 0
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    - 0
    - 0
    - 0
    - 36
    - 0
    - 0
    - 0
    - 1
    id: 4562
    lmfdb_label: 120.b3
    torsion:
    - 2
    - 16
- - conductor: 120
    conductor_valuation: 3
    discriminant_valuation: 11
    id: 814
    j_denominator_valuation: 0
    kodaira_symbol: -2
    lmfdb_label: 120.b3
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 1
  - conductor: 120
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 815
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 120.b3
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
  - conductor: 120
    conductor_valuation: 1
    discriminant_valuation: 8
    id: 816
    j_denominator_valuation: 8
    kodaira_symbol: 12
    lmfdb_label: 120.b3
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 8
- - adelic_gens:
    - - 176
      - 5
      - 195
      - 226
    - - 1
      - 0
      - 16
      - 1
    - - 1
      - 16
      - 0
      - 1
    - - 15
      - 2
      - 142
      - 227
    - - 97
      - 16
      - 56
      - 129
    - - 188
      - 185
      - 123
      - 122
    - - 5
      - 4
      - 236
      - 237
    - - 225
      - 16
      - 224
      - 17
    - - 211
      - 16
      - 158
      - 69
    adelic_image: 240.192.1.?
    conductor: 120
    id: 1666250
    lmfdb_label: 120.b3
    prime: 0
  - conductor: 120
    elladic_image: 8.48.0.175
    id: 438
    lmfdb_label: 120.b3
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 120.b3
- 120.b
- 120.b3
- 120.b3
- 120.b3
- 120.b3
- 120.b3
- 120.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T01:56:03.419608'