data:
- - Ciso: 6720bu
    Clabel: 6720bu2
    Cnumber: 2
    abc_quality: 1.0488640833975327
    absD: 14517928857600
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 120
    ainvs:
    - 0
    - -1
    - 0
    - -79385
    - 8633625
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 6720
    degree: 30720
    elladic_images:
    - 4.12.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '1.5102570373606597235040814407'
      prec: 100
    faltings_index: 1
    faltings_ratio: 2
    id: 42852
    iso_nlabel: 32
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 13507798771700416
    - 3544416225
    lmfdb_iso: 6720.bg
    lmfdb_label: 6720.bg2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -19846
    - -1069280
    min_quad_twist_disc: -8
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0-2.a.1.1
    - 24.24.0-24.a.1.1
    - 40.24.0-40.a.1.4
    - 60.24.0-60.a.1.6
    - 120.48.0.?
    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: '0.81710985680071441408684931924'
      prec: 103
    szpiro_ratio: 5.158358946237095
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - -1
    - 0
    - 1
    - 0
    - 1
    - 0
    - 1
    - 0
    - 4
    - 0
    - 6
    - 0
    - -1
    - 0
    - 6
    - 0
    - 0
    - 0
    aplist:
    - 0
    - -1
    - 1
    - 1
    - 4
    - 6
    - 6
    - 0
    - 4
    - 6
    - 0
    - -2
    - 2
    - 4
    - -4
    - 6
    - 12
    - 10
    - 4
    - -8
    - -14
    - -8
    - -12
    - -6
    - -14
    class_deg: 4
    class_size: 4
    conductor: 6720
    id: 24495
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 6720.bg
    trace_hash: 1396786929471627832
- - area:
      __RealLiteral__: 0
      data: '0.048776137336596387151461839503'
      prec: 107
    conductor: 6720
    gens: []
    heights: []
    id: 42852
    lmfdb_label: 6720.bg2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.68595570283831005637099973551'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.7438228113532402254839989420555875767'
      prec: 130
    tamagawa_product: 64
    torsion_generators:
    - - 161
      - 0
      - 1
    - - 165
      - 0
      - 1
    xcoord_integral_points:
    - -325
    - 161
    - 165
- - id: 42852
    iwdata:
      '2': a
      '3':
      - 0
      - 0
      '5':
      - 1
      - 0
      '7':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 6720.bg2
- - degree: 2
    field:
    - -10
    - 0
    - 1
    id: 352982
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 1
    - 0
    - 8
    - 0
    - 1
    id: 352983
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 9
    - 0
    - 0
    - 0
    - 1
    id: 352984
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -3
    - 0
    - -1952
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 352987
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 6
  - degree: 8
    field:
    - 16
    - 0
    - 0
    - 0
    - -7
    - 0
    - 0
    - 0
    - 1
    id: 352985
    lmfdb_label: 6720.bg2
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 7921
    - 0
    - -1324
    - 0
    - -454
    - 0
    - -4
    - 0
    - 1
    id: 352986
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 576
    - 0
    - 2304
    - 0
    - 4224
    - 0
    - 2688
    - 0
    - 880
    - 0
    - 352
    - 0
    - 144
    - 0
    - 16
    - 0
    - 1
    id: 352989
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 10000
    - 0
    - 396000
    - 0
    - 6514600
    - 0
    - -1922040
    - 0
    - 250881
    - 0
    - -14016
    - 0
    - 46
    - 0
    - 24
    - 0
    - 1
    id: 352988
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 294877584
    - 0
    - 99712512
    - 0
    - -5489280
    - 0
    - -2543616
    - 0
    - 145320
    - 0
    - 6016
    - 0
    - -672
    - 0
    - 0
    - 0
    - 1
    id: 352990
    lmfdb_label: 6720.bg2
    torsion:
    - 2
    - 12
- - conductor: 6720
    conductor_valuation: 6
    discriminant_valuation: 12
    id: 136762
    j_denominator_valuation: 0
    kodaira_symbol: -6
    lmfdb_label: 6720.bg2
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 6720
    conductor_valuation: 1
    discriminant_valuation: 10
    id: 136763
    j_denominator_valuation: 10
    kodaira_symbol: 14
    lmfdb_label: 6720.bg2
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 6720
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 136764
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 6720.bg2
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 6720
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 136765
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 6720.bg2
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 41
      - 4
      - 82
      - 9
    - - 57
      - 118
      - 2
      - 1
    - - 117
      - 4
      - 116
      - 5
    - - 27
      - 116
      - 112
      - 109
    - - 97
      - 2
      - 0
      - 1
    - - 1
      - 4
      - 0
      - 1
    - - 1
      - 0
      - 4
      - 1
    adelic_image: 120.48.0.?
    conductor: 6720
    id: 1708212
    lmfdb_label: 6720.bg2
    prime: 0
  - conductor: 6720
    elladic_image: 4.12.0.1
    id: 33072
    lmfdb_label: 6720.bg2
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 6720.bg2
- 6720.bg
- 6720.bg2
- 6720.bg2
- 6720.bg2
- 6720.bg2
- 6720.bg2
- 6720.bg
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-20T07:18:09.230279'