data:
- - Ciso: 3192b
    Clabel: 3192b3
    Cnumber: 3
    abc_quality: 1.0658760486481362
    absD: 506646088704
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 456
    ainvs:
    - 0
    - -1
    - 0
    - -20104
    - -1089956
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 7
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 3192
    degree: 6144
    elladic_images:
    - 4.12.0.8
    faltings_height:
      __RealLiteral__: 0
      data: '1.1927971364016506714625676269'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 19063
    iso_nlabel: 2
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 877592260337188
    - 494771571
    lmfdb_iso: 3192.c
    lmfdb_label: 3192.c1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -20104
    - -1089956
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.2
    - 24.24.0-24.z.1.16
    - 76.24.0.?
    - 456.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.61517448593502958028154085902'
      prec: 103
    szpiro_ratio: 5.123650271757741
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - -1
    - 0
    - -2
    - 0
    - -1
    - 0
    - 1
    - 0
    - 0
    - 0
    - -2
    - 0
    - 2
    - 0
    - 2
    - 0
    - 1
    - 0
    aplist:
    - 0
    - -1
    - -2
    - -1
    - 0
    - -2
    - 2
    - 1
    - -4
    - 2
    - 0
    - -10
    - -10
    - 4
    - 12
    - -6
    - -4
    - 14
    - -4
    - -16
    - 10
    - 16
    - 8
    - 6
    - 18
    class_deg: 4
    class_size: 4
    conductor: 3192
    id: 10207
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 3192.c
    trace_hash: 156226552298379636
- - area:
      __RealLiteral__: 0
      data: '0.092034269861092336818317918358'
      prec: 107
    conductor: 3192
    gens: []
    heights: []
    id: 19063
    lmfdb_label: 3192.c1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.40095148999091041519207204392'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.80190297998182083038414408783729012713'
      prec: 133
    tamagawa_product: 8
    torsion_generators:
    - - -83
      - 0
      - 1
    xcoord_integral_points:
    - -83
- - id: 19063
    iwdata:
      '19':
      - 1
      - 0
      '2': a
      '3':
      - 0
      - 0
      '7':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 3192.c1
- - degree: 2
    field:
    - -19
    - 0
    - 1
    id: 166379
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 1
    - 0
    - 1
    id: 166380
    lmfdb_label: 3192.c1
    torsion:
    - 4
  - degree: 2
    field:
    - 5
    - -1
    - 1
    id: 166381
    lmfdb_label: 3192.c1
    torsion:
    - 4
  - degree: 4
    field:
    - -146
    - -124
    - -8
    - -2
    - 1
    id: 166383
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 25
    - 0
    - -9
    - 0
    - 1
    id: 166382
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -27
    - 0
    - 648
    - 0
    - 90
    - 0
    - 4
    - 0
    - 1
    id: 166387
    lmfdb_label: 3192.c1
    torsion:
    - 6
  - degree: 8
    field:
    - 54289
    - -466
    - 2
    - 926
    - -457
    - -10
    - 8
    - -4
    - 1
    id: 166384
    lmfdb_label: 3192.c1
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 92416
    - 0
    - -11552
    - 0
    - 1140
    - 0
    - -38
    - 0
    - 1
    id: 166386
    lmfdb_label: 3192.c1
    torsion:
    - 8
  - degree: 8
    field:
    - 866761
    - 0
    - 0
    - 0
    - -1813
    - 0
    - 0
    - 0
    - 1
    id: 166385
    lmfdb_label: 3192.c1
    torsion:
    - 8
  - degree: 16
    field:
    - 1936
    - -9856
    - 25088
    - -21472
    - 7392
    - 5648
    - -5472
    - 5408
    - -2360
    - -192
    - 712
    - -400
    - 188
    - -84
    - 32
    - -8
    - 1
    id: 166392
    lmfdb_label: 3192.c1
    torsion:
    - 12
  - degree: 16
    field:
    - 209891
    - -847926
    - 1277634
    - -727388
    - -148442
    - 632076
    - -147340
    - 16346
    - 36156
    - -16834
    - 6694
    - -1896
    - 434
    - -92
    - 24
    - -6
    - 1
    id: 166393
    lmfdb_label: 3192.c1
    torsion:
    - 12
  - degree: 16
    field:
    - 13868176
    - 0
    - 0
    - 0
    - 7924672
    - 0
    - 0
    - 0
    - -502740
    - 0
    - 0
    - 0
    - 2128
    - 0
    - 0
    - 0
    - 1
    id: 166390
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 23357889
    - 0
    - -6136524
    - 0
    - -1176180
    - 0
    - 169876
    - 0
    - -32026
    - 0
    - 3244
    - 0
    - -368
    - 0
    - -4
    - 0
    - 1
    id: 166391
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 33362176
    - 0
    - 0
    - 0
    - -1207184
    - 0
    - 0
    - 0
    - 37905
    - 0
    - 0
    - 0
    - -209
    - 0
    - 0
    - 0
    - 1
    id: 166389
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 1475789056
    - 0
    - 0
    - 0
    - 20706224
    - 0
    - 0
    - 0
    - 252105
    - 0
    - 0
    - 0
    - 539
    - 0
    - 0
    - 0
    - 1
    id: 166388
    lmfdb_label: 3192.c1
    torsion:
    - 2
    - 8
- - conductor: 3192
    conductor_valuation: 3
    discriminant_valuation: 10
    id: 57619
    j_denominator_valuation: 0
    kodaira_symbol: -3
    lmfdb_label: 3192.c1
    prime: 2
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 3192
    conductor_valuation: 1
    discriminant_valuation: 12
    id: 57620
    j_denominator_valuation: 12
    kodaira_symbol: 16
    lmfdb_label: 3192.c1
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 3192
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 57621
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 3192.c1
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 3192
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 57622
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 3192.c1
    prime: 19
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
- - adelic_gens:
    - - 7
      - 6
      - 450
      - 451
    - - 305
      - 8
      - 308
      - 33
    - - 388
      - 1
      - 407
      - 6
    - - 400
      - 179
      - 403
      - 432
    - - 1
      - 0
      - 8
      - 1
    - - 449
      - 8
      - 448
      - 9
    - - 403
      - 402
      - 298
      - 67
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    adelic_image: 456.48.0.?
    conductor: 3192
    id: 1684721
    lmfdb_label: 3192.c1
    prime: 0
  - conductor: 3192
    elladic_image: 4.12.0.8
    id: 15992
    lmfdb_label: 3192.c1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 3192.c1
- 3192.c
- 3192.c1
- 3192.c1
- 3192.c1
- 3192.c1
- 3192.c1
- 3192.c
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-22T00:41:03.651996'