data:
- - Ciso: 912g
    Clabel: 912g4
    Cnumber: 4
    abc_quality: 0.9747386105988611
    absD: 1601384448
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 456
    ainvs:
    - 0
    - -1
    - 0
    - 136
    - -1872
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 912
    degree: 384
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '0.44813851835711921574779975159'
      prec: 103
    faltings_index: 3
    faltings_ratio: 4
    id: 4577
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 67419143
    - 390963
    lmfdb_iso: 912.b
    lmfdb_label: 912.b4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 1
    - 8
    - 29
    min_quad_twist_disc: -4
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 6.6.0.a.1
    - 12.24.0-12.g.1.2
    - 152.24.0.?
    - 456.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 7
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '2.6018939134308192452519184243'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.24500866220282609366943236987'
      prec: 107
    szpiro_ratio: 4.187973963278707
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - 0
    - -1
    - 0
    - -2
    - 0
    - 0
    - 0
    - 1
    - 0
    - 0
    - 0
    - 6
    - 0
    - 2
    - 0
    - -6
    - 0
    - 1
    - 0
    aplist:
    - 0
    - -1
    - -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: 912
    id: 2179
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 912.b
    trace_hash: 533216063535067348
- - area:
      __RealLiteral__: 0
      data: '0.40808612477717129413820357150'
      prec: 103
    conductor: 912
    gens:
    - - 18
      - 78
      - 1
    heights:
    - __RealLiteral__: 0
      data: '2.6018939134308192452519184243'
      prec: 100
    id: 4577
    lmfdb_label: 912.b4
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '0.75202298051859802360121969732'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.9566840157714437537809644231301686452'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - 28
      - 152
      - 1
    xcoord_integral_points:
    - 9
    - 18
    - 28
    - 484
- - id: 4577
    iwdata:
      '11':
      - 1
      - 1
      - 0
      '13':
      - 3
      - 0
      '17':
      - 1
      - 0
      '19':
      - 2
      - 0
      '2': a
      '23':
      - 1
      - 0
      '29':
      - 1
      - 0
      '3':
      - 1
      - 0
      '31':
      - 1
      - 0
      '37':
      - 1
      - 0
      '41':
      - 1
      - 0
      '43':
      - 1
      - 0
      '47':
      - 1
      - 0
      '5':
      - 3
      - 0
      '7':
      - 1
      - 5
      - 0
    iwp0: 0
    lmfdb_label: 912.b4
- - degree: 2
    field:
    - 1
    - -1
    - 1
    id: 43810
    lmfdb_label: 912.b4
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - -3
    - 0
    - -8
    - 0
    - 1
    id: 43811
    lmfdb_label: 912.b4
    torsion:
    - 8
  - degree: 8
    field:
    - -3
    - 0
    - -11
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 43815
    lmfdb_label: 912.b4
    torsion:
    - 12
  - degree: 8
    field:
    - 1
    - -4
    - 8
    - -10
    - 7
    - -2
    - 2
    - -2
    - 1
    id: 43812
    lmfdb_label: 912.b4
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 9
    - 0
    - -24
    - 0
    - 67
    - 0
    - 8
    - 0
    - 1
    id: 43814
    lmfdb_label: 912.b4
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 2304
    - 0
    - 288
    - 0
    - 84
    - 0
    - -6
    - 0
    - 1
    id: 43813
    lmfdb_label: 912.b4
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 9
    - 0
    - -33
    - 0
    - 103
    - 0
    - -66
    - 0
    - 39
    - 0
    - -22
    - 0
    - 6
    - 0
    - 0
    - 0
    - 1
    id: 43817
    lmfdb_label: 912.b4
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 81
    - 0
    - 864
    - 0
    - 612
    - 0
    - -648
    - 0
    - 459
    - 0
    - 216
    - 0
    - 68
    - 0
    - -32
    - 0
    - 1
    id: 43816
    lmfdb_label: 912.b4
    torsion:
    - 16
- - conductor: 912
    conductor_valuation: 4
    discriminant_valuation: 12
    id: 12331
    j_denominator_valuation: 0
    kodaira_symbol: -8
    lmfdb_label: 912.b4
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 912
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 12332
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 912.b4
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 912
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 12333
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 912.b4
    prime: 19
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 277
      - 284
      - 238
      - 51
    - - 7
      - 6
      - 450
      - 451
    - - 97
      - 8
      - 388
      - 33
    - - 1
      - 0
      - 8
      - 1
    - - 449
      - 8
      - 448
      - 9
    - - 403
      - 402
      - 298
      - 67
    - - 160
      - 3
      - 157
      - 2
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    adelic_image: 456.48.0.?
    conductor: 912
    id: 1670340
    lmfdb_label: 912.b4
    prime: 0
  - conductor: 912
    elladic_image: 4.12.0.7
    id: 4266
    lmfdb_label: 912.b4
    modell_image: 2B
    prime: 2
- - id: 19824
    lmfdb_iso: 912.b
    p: 5
    prec: 20
    unit: 594306628214
    val: 3
  - id: 19829
    lmfdb_iso: 912.b
    p: 13
    prec: 20
    unit: 10079255436344950647
    val: 2
  - id: 19831
    lmfdb_iso: 912.b
    p: 17
    prec: 20
    unit: 9743168496651584535083
    val: 1
  - id: 19835
    lmfdb_iso: 912.b
    p: 23
    prec: 20
    unit: 72325998281911738157998860
    val: 1
  - id: 19828
    lmfdb_iso: 912.b
    p: 29
    prec: 20
    unit: 4280963881037479817669070355
    val: 1
  - id: 19825
    lmfdb_iso: 912.b
    p: 31
    prec: 20
    unit: 15975241345922943904386170643
    val: 1
  - id: 19839
    lmfdb_iso: 912.b
    p: 37
    prec: 20
    unit: 413110138472948509961824021958
    val: 1
  - id: 19826
    lmfdb_iso: 912.b
    p: 41
    prec: 20
    unit: 1578562254486023014006033906231
    val: 1
  - id: 19827
    lmfdb_iso: 912.b
    p: 43
    prec: 20
    unit: 9343907059388428139322501378105
    val: 1
  - id: 19830
    lmfdb_iso: 912.b
    p: 47
    prec: 20
    unit: 32482468547130912559054670515566
    val: 1
  - id: 19833
    lmfdb_iso: 912.b
    p: 53
    prec: 20
    unit: 537123319550951089452200748944569
    val: 1
  - id: 19837
    lmfdb_iso: 912.b
    p: 59
    prec: 20
    unit: 2638573714631780780317251097970554
    val: 1
  - id: 19838
    lmfdb_iso: 912.b
    p: 61
    prec: 20
    unit: 1451282075123468873458145553733343
    val: 1
  - id: 19823
    lmfdb_iso: 912.b
    p: 67
    prec: 20
    unit: 30162670498116543687958175886790633
    val: 1
  - id: 19834
    lmfdb_iso: 912.b
    p: 73
    prec: 20
    unit: 115727764606211097765511129610232826
    val: 1
  - id: 19832
    lmfdb_iso: 912.b
    p: 83
    prec: 20
    unit: 1783777105194779346216725534249896423
    val: 1
  - id: 19836
    lmfdb_iso: 912.b
    p: 89
    prec: 20
    unit: 10759220141170901378008041442887154210
    val: 1
  - id: 19822
    lmfdb_iso: 912.b
    p: 97
    prec: 20
    unit: 27502810699347716195892852317627882066
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 912.b4
- 912.b
- 912.b4
- 912.b4
- 912.b4
- 912.b4
- 912.b4
- 912.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-23T12:43:04.622263'