data:
- - Ciso: 1248h
    Clabel: 1248h3
    Cnumber: 3
    abc_quality: 1.069422794221752
    absD: 3158618112
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 312
    ainvs:
    - 0
    - -1
    - 0
    - -369
    - 513
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 13
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 1248
    degree: 768
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '0.51271634234938137039558294885'
      prec: 103
    faltings_index: 1
    faltings_ratio: 2
    id: 6670
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 1360251712
    - 771147
    lmfdb_iso: 1248.b
    lmfdb_label: 1248.b2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 0
    - -1
    - 0
    - -369
    - 513
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 12.24.0-12.h.1.2
    - 104.24.0.?
    - 312.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 9
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '1.7482494487637116152547544864'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.18043083821056393902164917261'
      prec: 107
    szpiro_ratio: 4.11663302972232
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - 0
    - -1
    - 0
    - -2
    - 0
    - 0
    - 0
    - 1
    - 0
    - 4
    - 0
    - 1
    - 0
    - 2
    - 0
    - -6
    - 0
    - -8
    - 0
    aplist:
    - 0
    - -1
    - -2
    - 0
    - 4
    - 1
    - -6
    - -8
    - 8
    - 2
    - 8
    - -10
    - 6
    - -4
    - 0
    - -14
    - -12
    - -10
    - -8
    - 0
    - -14
    - -4
    - 4
    - -10
    - 10
    class_deg: 4
    class_size: 4
    conductor: 1248
    id: 3306
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 1248.b
    trace_hash: 1985730887369394816
- - area:
      __RealLiteral__: 0
      data: '0.35864125324678496749312727713'
      prec: 103
    conductor: 1248
    gens:
    - - 1
      - 12
      - 1
    heights:
    - __RealLiteral__: 0
      data: '1.7482494487637116152547544864'
      prec: 100
    id: 6670
    lmfdb_label: 1248.b2
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '1.2206352993932699825054064318'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.1339749893058123379666515085619856063'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - -7
      - 52
      - 1
    xcoord_integral_points:
    - -7
    - 1
    - 19
    - 32
    - 71
- - id: 6670
    iwdata:
      '11':
      - 1
      - 0
      '13':
      - 2
      - 0
      '17':
      - 1
      - 0
      '19':
      - 1
      - 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
      - 1
      - 0
      '5':
      - 7
      - 0
      '7':
      - 1
      - 1
      - 0
    iwp0: 0
    lmfdb_label: 1248.b2
- - degree: 2
    field:
    - -3
    - 0
    - 1
    id: 62081
    lmfdb_label: 1248.b2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 27
    - 0
    - -2
    - 0
    - 1
    id: 62082
    lmfdb_label: 1248.b2
    torsion:
    - 8
  - degree: 8
    field:
    - -27
    - 0
    - 112
    - 0
    - -18
    - 0
    - 0
    - 0
    - 1
    id: 62086
    lmfdb_label: 1248.b2
    torsion:
    - 12
  - degree: 8
    field:
    - 9
    - 0
    - 0
    - 0
    - 3
    - 0
    - 0
    - 0
    - 1
    id: 62083
    lmfdb_label: 1248.b2
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 900
    - 0
    - 768
    - 0
    - 124
    - 0
    - -16
    - 0
    - 1
    id: 62084
    lmfdb_label: 1248.b2
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 1764
    - 0
    - -1728
    - 0
    - 492
    - 0
    - -48
    - 0
    - 1
    id: 62085
    lmfdb_label: 1248.b2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 1
    - 0
    - -8
    - 0
    - 10
    - 0
    - 128
    - 0
    - -289
    - 0
    - 128
    - 0
    - 10
    - 0
    - -8
    - 0
    - 1
    id: 62088
    lmfdb_label: 1248.b2
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 531441
    - 0
    - -157464
    - 0
    - 399492
    - 0
    - -647352
    - 0
    - 354294
    - 0
    - -23976
    - 0
    - 548
    - 0
    - -8
    - 0
    - 1
    id: 62087
    lmfdb_label: 1248.b2
    torsion:
    - 16
- - conductor: 1248
    conductor_valuation: 5
    discriminant_valuation: 12
    id: 18533
    j_denominator_valuation: 0
    kodaira_symbol: -7
    lmfdb_label: 1248.b2
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 1248
    conductor_valuation: 1
    discriminant_valuation: 3
    id: 18534
    j_denominator_valuation: 3
    kodaira_symbol: 7
    lmfdb_label: 1248.b2
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 1248
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 18535
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 1248.b2
    prime: 13
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 7
      - 6
      - 306
      - 307
    - - 212
      - 1
      - 127
      - 6
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 203
      - 198
      - 122
      - 275
    - - 1
      - 4
      - 4
      - 17
    - - 145
      - 8
      - 268
      - 33
    - - 120
      - 281
      - 265
      - 252
    - - 305
      - 8
      - 304
      - 9
    adelic_image: 312.48.0.?
    conductor: 1248
    id: 1672413
    lmfdb_label: 1248.b2
    prime: 0
  - conductor: 1248
    elladic_image: 4.12.0.7
    id: 5972
    lmfdb_label: 1248.b2
    modell_image: 2B
    prime: 2
- - id: 31208
    lmfdb_iso: 1248.b
    p: 5
    prec: 20
    unit: 3625957518229
    val: 2
  - id: 31214
    lmfdb_iso: 1248.b
    p: 11
    prec: 20
    unit: 16720180504261522195
    val: 1
  - id: 31215
    lmfdb_iso: 1248.b
    p: 17
    prec: 20
    unit: 64980527083773441927791
    val: 1
  - id: 31216
    lmfdb_iso: 1248.b
    p: 19
    prec: 20
    unit: 1951141508869496383516884
    val: 1
  - id: 31219
    lmfdb_iso: 1248.b
    p: 23
    prec: 20
    unit: 10848580077386032315272860
    val: 1
  - id: 31212
    lmfdb_iso: 1248.b
    p: 29
    prec: 20
    unit: 2499753086801128857628822663
    val: 1
  - id: 31209
    lmfdb_iso: 1248.b
    p: 31
    prec: 20
    unit: 21412231363349312355950001445
    val: 1
  - id: 31223
    lmfdb_iso: 1248.b
    p: 37
    prec: 20
    unit: 337551804064839068631208751645
    val: 1
  - id: 31210
    lmfdb_iso: 1248.b
    p: 41
    prec: 20
    unit: 1106488553357419156744460003569
    val: 1
  - id: 31211
    lmfdb_iso: 1248.b
    p: 43
    prec: 20
    unit: 1369254324316424664728226276254
    val: 1
  - id: 31217
    lmfdb_iso: 1248.b
    p: 53
    prec: 20
    unit: 300745777217152588117141832641088
    val: 1
  - id: 31221
    lmfdb_iso: 1248.b
    p: 59
    prec: 20
    unit: 961441938907187635044372085570207
    val: 1
  - id: 31222
    lmfdb_iso: 1248.b
    p: 61
    prec: 20
    unit: 585154862878895221058908985868124
    val: 1
  - id: 31207
    lmfdb_iso: 1248.b
    p: 67
    prec: 20
    unit: 39006545241781335751735567571841097
    val: 1
  - id: 31218
    lmfdb_iso: 1248.b
    p: 73
    prec: 20
    unit: 406012153587619941512961668647962
    val: 1
  - id: 31213
    lmfdb_iso: 1248.b
    p: 79
    prec: 20
    unit: 946826226350929109217855160251754706
    val: 1
  - id: 31206
    lmfdb_iso: 1248.b
    p: 83
    prec: 20
    unit: 2604450885469249983399657058338027788
    val: 1
  - id: 31220
    lmfdb_iso: 1248.b
    p: 89
    prec: 20
    unit: 7374977180978314546269441365072993249
    val: 1
  - id: 31205
    lmfdb_iso: 1248.b
    p: 97
    prec: 20
    unit: 6378682102933110278174804954143592091
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1248.b2
- 1248.b
- 1248.b2
- 1248.b2
- 1248.b2
- 1248.b2
- 1248.b2
- 1248.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T13:16:44.779702'