data:
- - Ciso: 171a
    Clabel: 171a1
    Cnumber: 1
    abc_quality: 0.9626725733934746
    absD: 41553
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 456
    ainvs:
    - 1
    - -1
    - 1
    - -14
    - 20
    analytic_rank: 0
    bad_primes:
    - 3
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 171
    degree: 12
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '-0.38884969842871655738904187287'
      prec: 107
    faltings_index: 0
    faltings_ratio: 1
    id: 599
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 389017
    - 57
    lmfdb_iso: 171.a
    lmfdb_label: 171.a3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 1
    - -2
    - -1
    min_quad_twist_disc: -3
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 24.24.0-24.z.1.8
    - 114.6.0.?
    - 152.24.0.?
    - 228.24.0.?
    - 456.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 3
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.93815584276277140308666449133'
      prec: 107
    szpiro_ratio: 3.785360874271697
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - -1
    - 0
    - -1
    - 2
    - 0
    - 0
    - 3
    - 0
    - -2
    - 0
    - 0
    - 6
    - 0
    - 0
    - -1
    - 6
    - 0
    - -1
    - -2
    aplist:
    - -1
    - 0
    - 2
    - 0
    - 0
    - 6
    - 6
    - -1
    - -4
    - -2
    - 8
    - -10
    - 2
    - -4
    - -12
    - 6
    - 12
    - -2
    - -4
    - 0
    - 10
    - 0
    - -16
    - 2
    - 10
    class_deg: 4
    class_size: 4
    conductor: 171
    id: 215
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 171.a
    trace_hash: 679434992409306156
- - area:
      __RealLiteral__: 0
      data: '2.1764593321449135687370857147'
      prec: 100
    conductor: 171
    gens: []
    heights: []
    id: 599
    lmfdb_label: 171.a3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '3.4734453619135780883065631268'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.86836134047839452207664078170361972629'
      prec: 133
    tamagawa_product: 4
    torsion_generators:
    - - 0
      - 4
      - 1
    xcoord_integral_points:
    - 0
    - 3
- - id: 599
    iwdata:
      '19':
      - 0
      - 0
      '2':
      - 5
      - 0
      '3': a
    iwp0: 3
    lmfdb_label: 171.a3
- - degree: 2
    field:
    - -14
    - -1
    - 1
    id: 6767
    lmfdb_label: 171.a3
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 4
    - 2
    - -3
    - -1
    - 1
    id: 6768
    lmfdb_label: 171.a3
    torsion:
    - 8
  - degree: 8
    field:
    - 1
    - -3
    - 1
    - 6
    - 6
    - 6
    - 1
    - -3
    - 1
    id: 6770
    lmfdb_label: 171.a3
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 1
    - 0
    - -15
    - 0
    - 44
    - 0
    - -15
    - 0
    - 1
    id: 6771
    lmfdb_label: 171.a3
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 3
    - -12
    - 21
    - -21
    - 12
    - -3
    - 4
    - -4
    - 1
    id: 6772
    lmfdb_label: 171.a3
    torsion:
    - 12
  - degree: 8
    field:
    - 16384
    - 256
    - 2
    - -518
    - 265
    - -10
    - 8
    - -4
    - 1
    id: 6769
    lmfdb_label: 171.a3
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 9
    - -72
    - 216
    - -324
    - 387
    - -612
    - 756
    - -468
    - 141
    - -96
    - 144
    - -144
    - 81
    - -24
    - 6
    - 0
    - 1
    id: 6773
    lmfdb_label: 171.a3
    torsion:
    - 16
  - degree: 16
    field:
    - 9
    - 0
    - 219
    - 0
    - -356
    - 0
    - 438
    - 0
    - 30
    - 0
    - -73
    - 0
    - -12
    - 0
    - 0
    - 0
    - 1
    id: 6774
    lmfdb_label: 171.a3
    torsion:
    - 2
    - 12
- - conductor: 171
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 1319
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 171.a3
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 171
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 1320
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 171.a3
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 7
      - 6
      - 450
      - 451
    - - 65
      - 60
      - 62
      - 287
    - - 388
      - 1
      - 407
      - 6
    - - 1
      - 0
      - 8
      - 1
    - - 296
      - 453
      - 299
      - 454
    - - 449
      - 8
      - 448
      - 9
    - - 403
      - 402
      - 298
      - 67
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    adelic_image: 456.48.0.?
    conductor: 171
    id: 1666461
    lmfdb_label: 171.a3
    prime: 0
  - conductor: 171
    elladic_image: 4.12.0.7
    id: 686
    lmfdb_label: 171.a3
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 171.a3
- 171.a
- 171.a3
- 171.a3
- 171.a3
- 171.a3
- 171.a3
- 171.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T08:29:34.688683'