data:
- - Ciso: 6720bu
    Clabel: 6720bu4
    Cnumber: 4
    abc_quality: 1.0153915089943955
    absD: 28689339248640000
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 120
    ainvs:
    - 0
    - -1
    - 0
    - -69665
    - 10816737
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 6720
    degree: 61440
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '1.8568306276406323782126975014'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 42854
    iso_nlabel: 32
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - -1141100604753992
    - 875529151875
    lmfdb_iso: 6720.bg
    lmfdb_label: 6720.bg4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -17416
    - -1343384
    min_quad_twist_disc: -8
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 24.24.0-24.v.1.2
    - 40.24.0-40.bb.1.2
    - 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: '0.99039665194070074144115734958'
      prec: 103
    szpiro_ratio: 5.209675858826336
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - 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: '0.024388068668298193575730919752'
      prec: 107
    conductor: 6720
    gens: []
    heights: []
    id: 42854
    lmfdb_label: 6720.bg4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.34297785141915502818549986776'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.7438228113532402254839989420555875767'
      prec: 130
    tamagawa_product: 128
    torsion_generators:
    - - 169
      - 1960
      - 1
    xcoord_integral_points:
    - -321
    - 169
- - id: 42854
    iwdata:
      '2': a
      '3':
      - 0
      - 0
      '5':
      - 1
      - 0
      '7':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 6720.bg4
- - degree: 2
    field:
    - 6
    - 0
    - 1
    id: 353006
    lmfdb_label: 6720.bg4
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - -24
    - 0
    - -8
    - 0
    - 1
    id: 353007
    lmfdb_label: 6720.bg4
    torsion:
    - 8
  - degree: 8
    field:
    - -3
    - 0
    - -1952
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 353011
    lmfdb_label: 6720.bg4
    torsion:
    - 12
  - degree: 8
    field:
    - 25
    - 0
    - 76
    - 0
    - -6
    - 0
    - 4
    - 0
    - 1
    id: 353008
    lmfdb_label: 6720.bg4
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 490
    - 320
    - 124
    - 176
    - 118
    - 8
    - -8
    - -4
    - 1
    id: 353009
    lmfdb_label: 6720.bg4
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 1296
    - 0
    - 720
    - 0
    - 178
    - 0
    - 20
    - 0
    - 1
    id: 353010
    lmfdb_label: 6720.bg4
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 51969681
    - 0
    - 303503112
    - 0
    - -29734452
    - 0
    - -10670616
    - 0
    - 1214010
    - 0
    - -63096
    - 0
    - 2948
    - 0
    - -88
    - 0
    - 1
    id: 353012
    lmfdb_label: 6720.bg4
    torsion:
    - 16
  - degree: 16
    field:
    - 163558521
    - 0
    - -18390288
    - 0
    - -6291404
    - 0
    - 2500944
    - 0
    - 402606
    - 0
    - 8336
    - 0
    - 996
    - 0
    - 48
    - 0
    - 1
    id: 353013
    lmfdb_label: 6720.bg4
    torsion:
    - 2
    - 12
- - conductor: 6720
    conductor_valuation: 6
    discriminant_valuation: 15
    id: 136770
    j_denominator_valuation: 0
    kodaira_symbol: -9
    lmfdb_label: 6720.bg4
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 6720
    conductor_valuation: 1
    discriminant_valuation: 5
    id: 136771
    j_denominator_valuation: 5
    kodaira_symbol: 9
    lmfdb_label: 6720.bg4
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 6720
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 136772
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 6720.bg4
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
  - conductor: 6720
    conductor_valuation: 1
    discriminant_valuation: 8
    id: 136773
    j_denominator_valuation: 8
    kodaira_symbol: 12
    lmfdb_label: 6720.bg4
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 8
- - adelic_gens:
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 49
      - 48
      - 118
      - 55
    - - 88
      - 3
      - 85
      - 2
    - - 113
      - 8
      - 112
      - 9
    - - 72
      - 7
      - 53
      - 66
    - - 7
      - 6
      - 114
      - 115
    - - 97
      - 8
      - 28
      - 33
    - - 1
      - 4
      - 4
      - 17
    adelic_image: 120.48.0.?
    conductor: 6720
    id: 1708214
    lmfdb_label: 6720.bg4
    prime: 0
  - conductor: 6720
    elladic_image: 4.12.0.7
    id: 33074
    lmfdb_label: 6720.bg4
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 6720.bg4
- 6720.bg
- 6720.bg4
- 6720.bg4
- 6720.bg4
- 6720.bg4
- 6720.bg4
- 6720.bg
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T17:44:11.454982'