data:
- - Ciso: 8400bt
    Clabel: 8400bt1
    Cnumber: 1
    abc_quality: 0.9636830884406813
    absD: 13934592000
    adelic_genus: 0
    adelic_index: 12
    adelic_level: 420
    ainvs:
    - 0
    - -1
    - 0
    - -2728
    - -53648
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 8400
    degree: 7680
    elladic_images:
    - 2.3.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '0.78449378435906422736080968021'
      prec: 103
    faltings_index: 0
    faltings_ratio: 1
    id: 54091
    iso_nlabel: 29
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 4386781853
    - 27216
    lmfdb_iso: 8400.bd
    lmfdb_label: 8400.bd1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 1
    - -171
    - 838
    min_quad_twist_disc: -4
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 20.6.0.b.1
    - 84.6.0.?
    - 210.6.0.?
    - 420.12.0.?
    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: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.31101287430940617570661227455'
      prec: 107
    szpiro_ratio: 3.9119070994096368
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - -1
    - 0
    - 0
    - 0
    - 1
    - 0
    - 1
    - 0
    - 2
    - 0
    - -2
    - 0
    - 0
    - 0
    - -8
    - 0
    - 2
    - 0
    aplist:
    - 0
    - -1
    - 0
    - 1
    - 2
    - -2
    - -8
    - 2
    - 0
    - -6
    - -6
    - -8
    - 6
    - 8
    - 4
    - 2
    - 8
    - 10
    - -12
    - 14
    - 10
    - -4
    - 16
    - 10
    - -10
    class_deg: 2
    class_size: 2
    conductor: 8400
    id: 31409
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    lmfdb_iso: 8400.bd
    trace_hash: 1562548198646284450
- - area:
      __RealLiteral__: 0
      data: '0.20825592046860876630226016506'
      prec: 103
    conductor: 8400
    gens: []
    heights: []
    id: 54091
    lmfdb_label: 8400.bd1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.66082657582764877878326493249'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.3216531516552975575665298649759035058'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - -28
      - 0
      - 1
    xcoord_integral_points:
    - -28
- - id: 54091
    iwdata:
      '2': a
      '3':
      - 0
      - 0
      '5': a
      '7':
      - 3
      - 0
    iwp0: 3
    lmfdb_label: 8400.bd1
- - degree: 2
    field:
    - -26
    - -1
    - 1
    id: 439349
    lmfdb_label: 8400.bd1
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - 6
    - 2
    - -1
    - -2
    - 1
    id: 439350
    lmfdb_label: 8400.bd1
    torsion:
    - 4
  - degree: 8
    field:
    - -5054
    - 12046
    - -10961
    - 4992
    - -1341
    - 204
    - 1
    - -2
    - 1
    id: 439353
    lmfdb_label: 8400.bd1
    torsion:
    - 6
  - degree: 8
    field:
    - -89
    - -420
    - -662
    - -420
    - -81
    - 0
    - -8
    - 0
    - 1
    id: 439351
    lmfdb_label: 8400.bd1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 576
    - 0
    - 69
    - 0
    - -89
    - 0
    - 19
    - 0
    - 1
    id: 439352
    lmfdb_label: 8400.bd1
    torsion:
    - 2
    - 4
  - degree: 16
    field:
    - 1296
    - -5184
    - 7488
    - -3744
    - -348
    - -240
    - 1672
    - -1472
    - 900
    - -352
    - 12
    - 0
    - 57
    - -44
    - 18
    - -4
    - 1
    id: 439354
    lmfdb_label: 8400.bd1
    torsion:
    - 8
  - degree: 16
    field:
    - 84640000
    - 0
    - 142760000
    - 0
    - -75488000
    - 0
    - 12026000
    - 0
    - -683900
    - 0
    - -70000
    - 0
    - 280
    - 0
    - 5
    - 0
    - 1
    id: 439355
    lmfdb_label: 8400.bd1
    torsion:
    - 2
    - 6
- - conductor: 8400
    conductor_valuation: 4
    discriminant_valuation: 16
    id: 175034
    j_denominator_valuation: 4
    kodaira_symbol: -12
    lmfdb_label: 8400.bd1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 8400
    conductor_valuation: 1
    discriminant_valuation: 5
    id: 175035
    j_denominator_valuation: 5
    kodaira_symbol: 9
    lmfdb_label: 8400.bd1
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 8400
    conductor_valuation: 2
    discriminant_valuation: 3
    id: 175036
    j_denominator_valuation: 0
    kodaira_symbol: 3
    lmfdb_label: 8400.bd1
    prime: 5
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 8400
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 175037
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 8400.bd1
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
- - adelic_gens:
    - - 109
      - 316
      - 104
      - 315
    - - 1
      - 0
      - 4
      - 1
    - - 3
      - 4
      - 8
      - 11
    - - 1
      - 2
      - 2
      - 5
    - - 1
      - 4
      - 0
      - 1
    - - 62
      - 1
      - 179
      - 0
    - - 417
      - 4
      - 416
      - 5
    - - 142
      - 1
      - 139
      - 0
    - - 88
      - 1
      - 83
      - 0
    adelic_image: 420.12.0.?
    conductor: 8400
    id: 1719443
    lmfdb_label: 8400.bd1
    prime: 0
  - conductor: 8400
    elladic_image: 2.3.0.1
    id: 41041
    lmfdb_label: 8400.bd1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 8400.bd1
- 8400.bd
- 8400.bd1
- 8400.bd1
- 8400.bd1
- 8400.bd1
- 8400.bd1
- 8400.bd
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-19T19:45:16.370306'