data:
- - Ciso: 140777g
    Clabel: 140777g2
    Cnumber: 2
    abc_quality: 1.0296285559493121
    absD: 164114213839849
    adelic_genus: 53
    adelic_index: 1536
    adelic_level: 49504
    ainvs:
    - 1
    - -1
    - 0
    - -47098
    - 3897375
    analytic_rank: 0
    bad_primes:
    - 7
    - 13
    - 17
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 140777
    degree: 331776
    elladic_images:
    - 16.48.0.20
    faltings_height:
      __RealLiteral__: 0
      data: '1.5322200420371088849133710275'
      prec: 100
    faltings_index: 1
    faltings_ratio: 2
    id: 915311
    iso_nlabel: 6
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 20346417
    - 289
    lmfdb_iso: 140777.g
    lmfdb_label: 140777.g2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - -1
    - 1
    - -6
    - -4
    min_quad_twist_disc: -91
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0.a.1
    - 8.24.0.f.1
    - 16.48.0.c.2
    - 68.24.0.b.1
    - 136.96.3.?
    - 272.384.21.?
    - 364.24.0.?
    - 544.768.53.?
    - 728.48.0.?
    - 1456.96.0.?
    - 6188.48.0.?
    - 12376.192.3.?
    - 24752.768.21.?
    - 49504.1536.53.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 2
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.72320971122131613566604906500'
      prec: 107
    szpiro_ratio: 3.7025578132805754
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
    - 0
    - 1
    - 1
    - 0
    - -1
    - -2
    - 0
    - 0
    - -3
    - -3
    - -2
    - 0
    - 0
    - 0
    - 0
    - 0
    - -1
    - -1
    - -3
    - -4
    - 2
    aplist:
    - 1
    - 0
    - -2
    - 0
    - 0
    - 0
    - -1
    - -4
    - 4
    - 6
    - 4
    - 2
    - -6
    - 4
    - 0
    - 6
    - -12
    - 10
    - -4
    - 4
    - -6
    - 12
    - -4
    - 10
    - 2
    class_deg: 4
    class_size: 4
    conductor: 140777
    id: 617696
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 140777.g
    trace_hash: 857971125128541092
- - area:
      __RealLiteral__: 0
      data: '0.046679971408021606166059737792'
      prec: 107
    conductor: 140777
    gens: []
    heights: []
    id: 915311
    lmfdb_label: 140777.g2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.57566333661754027322698643414'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.1513266732350805464539728682808042510'
      prec: 130
    tamagawa_product: 32
    torsion_generators:
    - - -250
      - 125
      - 1
    - - 114
      - -57
      - 1
    xcoord_integral_points:
    - -250
    - 114
- - id: 915311
    iwdata:
      '13': a
      '17':
      - 0
      - 0
      '2':
      - 8
      - 0
      '7': a
    iwp0: 3
    lmfdb_label: 140777.g2
- - degree: 4
    field:
    - 529
    - 0
    - -45
    - 0
    - 1
    id: 6358176
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 729
    - 0
    - 37
    - 0
    - 1
    id: 6358178
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 7478
    - 190
    - -189
    - -2
    - 1
    id: 6358177
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -802749
    - -55542
    - 120477
    - -3657
    - -2694
    - -72
    - 3
    - 0
    - 1
    id: 6358180
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 6
  - degree: 8
    field:
    - 117693
    - -39222
    - 42932
    - -7530
    - 4041
    - -334
    - 116
    - -4
    - 1
    id: 6358179
    lmfdb_label: 140777.g2
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 51612196672
    - -22513159456
    - 26387955360
    - -8110996904
    - 4979431924
    - -1166621304
    - 487560658
    - -89008380
    - 27888907
    - -3934080
    - 965786
    - -101156
    - 19832
    - -1400
    - 220
    - -8
    - 1
    id: 6358183
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 55554579172
    - -21869204056
    - 25567541676
    - -7746046328
    - 4766562790
    - -1129282536
    - 473666530
    - -87758892
    - 27566221
    - -3927600
    - 964886
    - -101372
    - 19868
    - -1400
    - 220
    - -8
    - 1
    id: 6358181
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 3111375713005849
    - 0
    - -320716155310860
    - 0
    - 13988677365900
    - 0
    - -337935251556
    - 0
    - 4949388702
    - 0
    - -45029012
    - 0
    - 248764
    - 0
    - -764
    - 0
    - 1
    id: 6358182
    lmfdb_label: 140777.g2
    torsion:
    - 2
    - 8
- - conductor: 140777
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 3475576
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 140777.g2
    prime: 7
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 140777
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 3475577
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 140777.g2
    prime: 13
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
  - conductor: 140777
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 3475578
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 140777.g2
    prime: 17
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 40223
      - 36582
      - 24752
      - 1
    - - 1
      - 0
      - 32
      - 1
    - - 49473
      - 32
      - 49472
      - 33
    - - 1
      - 32
      - 0
      - 1
    - - 42431
      - 0
      - 0
      - 49503
    - - 3807
      - 0
      - 0
      - 49503
    - - 45501
      - 22932
      - 18200
      - 45865
    - - 29
      - 8
      - 4252
      - 1173
    - - 38221
      - 6552
      - 23114
      - 2549
    - - 9
      - 32
      - 49448
      - 49305
    adelic_image: 49504.1536.53.?
    conductor: 140777
    id: 2578533
    lmfdb_label: 140777.g2
    prime: 0
  - conductor: 140777
    elladic_image: 16.48.0.20
    id: 543472
    lmfdb_label: 140777.g2
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 140777.g2
- 140777.g
- 140777.g2
- 140777.g2
- 140777.g2
- 140777.g2
- 140777.g2
- 140777.g
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-16T08:16:20.005896'