data:
- - Ciso: 14161b
    Clabel: 14161b2
    Cnumber: 2
    abc_quality: 1.0296285559493121
    absD: 820690887176209
    adelic_genus: 53
    adelic_index: 1536
    adelic_level: 3808
    ainvs:
    - 1
    - -1
    - 1
    - -80541
    - 8709236
    analytic_rank: 0
    bad_primes:
    - 7
    - 17
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 14161
    degree: 41472
    elladic_images:
    - 16.48.0.20
    faltings_height:
      __RealLiteral__: 0
      data: '1.6663520353344485570113946157'
      prec: 100
    faltings_index: 1
    faltings_ratio: 2
    id: 92913
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 20346417
    - 289
    lmfdb_iso: 14161.b
    lmfdb_label: 14161.b2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - -1
    - 1
    - -6
    - -4
    min_quad_twist_disc: -119
    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
    - 28.24.0-4.a.1.2
    - 56.48.0-8.f.1.4
    - 68.24.0.b.1
    - 112.96.0.?
    - 136.96.3.?
    - 272.384.21.?
    - 476.48.0.?
    - 544.768.53.?
    - 952.192.3.?
    - 1904.768.21.?
    - 3808.1536.53.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    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: '-0.72320971122131613566604906496'
      prec: 107
    szpiro_ratio: 4.760617340168213
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - 0
    - -1
    - -2
    - 0
    - 0
    - 3
    - -3
    - 2
    - 0
    - 0
    - 2
    - 0
    - 0
    - -1
    - 0
    - 3
    - 4
    - 2
    aplist:
    - -1
    - 0
    - -2
    - 0
    - 0
    - 2
    - 0
    - 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: 14161
    id: 55920
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 14161.b
    trace_hash: 2266761599506173569
- - area:
      __RealLiteral__: 0
      data: '0.035696448723781228244633917135'
      prec: 107
    conductor: 14161
    gens: []
    heights: []
    id: 92913
    lmfdb_label: 14161.b2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.50340298455688871174773446677'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.50340298455688871174773446677154470605'
      prec: 133
    tamagawa_product: 16
    torsion_generators:
    - - -327
      - 163
      - 1
    - - 149
      - -75
      - 1
    xcoord_integral_points:
    - -327
    - 149
- - id: 92913
    iwdata:
      '17': a
      '2': o?
      '7': a
    iwp0: 3
    lmfdb_label: 14161.b2
- - degree: 4
    field:
    - 2
    - 22
    - -21
    - -2
    - 1
    id: 728479
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 36
    - 0
    - -5
    - 0
    - 1
    id: 728478
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 900
    - 0
    - -59
    - 0
    - 1
    id: 728480
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -5729
    - -5644
    - 289
    - 1343
    - 34
    - -85
    - 4
    - -4
    - 1
    id: 728482
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 6
  - degree: 8
    field:
    - 72
    - -288
    - 470
    - -390
    - 261
    - -82
    - 32
    - -4
    - 1
    id: 728481
    lmfdb_label: 14161.b2
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 5167
    - -12772
    - 25806
    - -33932
    - 39898
    - -37620
    - 32386
    - -23652
    - 15691
    - -9012
    - 4658
    - -2036
    - 764
    - -224
    - 52
    - -8
    - 1
    id: 728483
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 1679616
    - 0
    - -3359232
    - 0
    - 2375568
    - 0
    - -943488
    - 0
    - 212056
    - 0
    - -26208
    - 0
    - 1833
    - 0
    - -72
    - 0
    - 1
    id: 728484
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 28090000
    - 0
    - -19941648
    - 0
    - 6467148
    - 0
    - -1278300
    - 0
    - 170577
    - 0
    - -15896
    - 0
    - 1030
    - 0
    - -44
    - 0
    - 1
    id: 728485
    lmfdb_label: 14161.b2
    torsion:
    - 2
    - 8
- - conductor: 14161
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 310626
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 14161.b2
    prime: 7
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 14161
    conductor_valuation: 2
    discriminant_valuation: 8
    id: 310627
    j_denominator_valuation: 2
    kodaira_symbol: -6
    lmfdb_label: 14161.b2
    prime: 17
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
- - adelic_gens:
    - - 1
      - 0
      - 32
      - 1
    - - 2143
      - 2310
      - 1904
      - 1
    - - 1
      - 32
      - 0
      - 1
    - - 543
      - 0
      - 0
      - 3807
    - - 3667
      - 1064
      - 3542
      - 1259
    - - 3613
      - 84
      - 2968
      - 169
    - - 3777
      - 32
      - 3776
      - 33
    - - 29
      - 8
      - 444
      - 1173
    - - 9
      - 32
      - 3752
      - 3609
    adelic_image: 3808.1536.53.?
    conductor: 14161
    id: 1758184
    lmfdb_label: 14161.b2
    prime: 0
  - conductor: 14161
    elladic_image: 16.48.0.20
    id: 67035
    lmfdb_label: 14161.b2
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 14161.b2
- 14161.b
- 14161.b2
- 14161.b2
- 14161.b2
- 14161.b2
- 14161.b2
- 14161.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-18T01:12:00.009879'