data:
- - Ciso: 672e
    Clabel: 672e1
    Cnumber: 1
    abc_quality: 0.9666197140470211
    absD: 28224
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 168
    ainvs:
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    - -1
    - 0
    - -14
    - 24
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 7
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 672
    degree: 64
    elladic_images:
    - 4.12.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '-0.40520681826668437476326499696'
      prec: 107
    faltings_index: 0
    faltings_ratio: 1
    id: 3154
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 5088448
    - 441
    lmfdb_iso: 672.b
    lmfdb_label: 672.b3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
    - -14
    - 24
    min_quad_twist_disc: 1
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0-2.a.1.1
    - 24.24.0-24.a.1.1
    - 28.24.0-28.a.1.2
    - 168.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 9
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '0.99310916145980245179387963762'
      prec: 103
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.75178040854665702947188105769'
      prec: 107
    szpiro_ratio: 3.0108431168992458
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
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    - 0
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    aplist:
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    - 0
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    - 2
    class_deg: 4
    class_size: 4
    conductor: 672
    id: 1438
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
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      - 1
    lmfdb_iso: 672.b
    trace_hash: 735138132754319977
- - area:
      __RealLiteral__: 0
      data: '2.2488379958730422276473909445'
      prec: 100
    conductor: 672
    gens:
    - - 4
      - 4
      - 1
    heights:
    - __RealLiteral__: 0
      data: '0.99310916145980245179387963762'
      prec: 103
    id: 3154
    lmfdb_label: 672.b3
    ngens: 1
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '3.6459594936737955688656412411'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.8104178877393945197070289466384483461'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - 2
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      - 1
    - - 3
      - 0
      - 1
    xcoord_integral_points:
    - -4
    - -1
    - 2
    - 3
    - 4
    - 10
- - id: 3154
    iwdata:
      '11':
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      '13':
      - 1
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      '17':
      - 1
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      '19':
      - 1
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      '2': a
      '23':
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      '29':
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      '3':
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      '31':
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      '37':
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      '41':
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      '43':
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      '47':
      - 1
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      '5':
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      '7':
      - 2
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    iwp0: 0
    lmfdb_label: 672.b3
- - degree: 2
    field:
    - -7
    - 0
    - 1
    id: 31026
    lmfdb_label: 672.b3
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 9
    - 0
    - 0
    - 0
    - 1
    id: 31028
    lmfdb_label: 672.b3
    torsion:
    - 2
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  - degree: 4
    field:
    - 22
    - -16
    - 17
    - -2
    - 1
    id: 31027
    lmfdb_label: 672.b3
    torsion:
    - 2
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  - degree: 8
    field:
    - -3
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    id: 31031
    lmfdb_label: 672.b3
    torsion:
    - 2
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  - degree: 8
    field:
    - 1
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    - -4
    - 0
    - 1
    id: 31030
    lmfdb_label: 672.b3
    torsion:
    - 2
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  - degree: 8
    field:
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    - -106
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    id: 31029
    lmfdb_label: 672.b3
    torsion:
    - 4
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  - degree: 16
    field:
    - -20412
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    - -18144
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    - -1728
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    id: 31034
    lmfdb_label: 672.b3
    torsion:
    - 2
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  - degree: 16
    field:
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    - -2880
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    - -640
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    - 88
    - -80
    - 32
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    id: 31033
    lmfdb_label: 672.b3
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 747994
    - 37440
    - 920448
    - 20040
    - 228328
    - -50976
    - -20652
    - -46320
    - 11829
    - -11184
    - 3432
    - -480
    - 466
    - -24
    - 36
    - 0
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    id: 31032
    lmfdb_label: 672.b3
    torsion:
    - 2
    - 8
- - conductor: 672
    conductor_valuation: 5
    discriminant_valuation: 6
    id: 8224
    j_denominator_valuation: 0
    kodaira_symbol: 3
    lmfdb_label: 672.b3
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 672
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 8225
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 672.b3
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 672
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 8226
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 672.b3
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
- - adelic_gens:
    - - 45
      - 2
      - 160
      - 163
    - - 165
      - 4
      - 164
      - 5
    - - 85
      - 4
      - 2
      - 9
    - - 113
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      - 58
      - 9
    - - 51
      - 2
      - 22
      - 167
    - - 1
      - 4
      - 0
      - 1
    - - 1
      - 0
      - 4
      - 1
    adelic_image: 168.48.0.?
    conductor: 672
    id: 1668952
    lmfdb_label: 672.b3
    prime: 0
  - conductor: 672
    elladic_image: 4.12.0.1
    id: 3046
    lmfdb_label: 672.b3
    modell_image: 2Cs
    prime: 2
- - id: 12251
    lmfdb_iso: 672.b
    p: 5
    prec: 20
    unit: 15689306069009
    val: 1
  - id: 12258
    lmfdb_iso: 672.b
    p: 11
    prec: 20
    unit: 18847325255832758961
    val: 1
  - id: 12256
    lmfdb_iso: 672.b
    p: 13
    prec: 20
    unit: 1330379186091415125495
    val: 1
  - id: 12259
    lmfdb_iso: 672.b
    p: 17
    prec: 20
    unit: 137526919216798856525512
    val: 1
  - id: 12260
    lmfdb_iso: 672.b
    p: 19
    prec: 20
    unit: 38871583238752846582603
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  - id: 12263
    lmfdb_iso: 672.b
    p: 23
    prec: 20
    unit: 12699638595225366962008720
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  - id: 12257
    lmfdb_iso: 672.b
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    prec: 20
    unit: 1824389182130584831931986414
    val: 1
  - id: 12253
    lmfdb_iso: 672.b
    p: 31
    prec: 20
    unit: 591458354066578002023732326
    val: 2
  - id: 12267
    lmfdb_iso: 672.b
    p: 37
    prec: 20
    unit: 418582881260016171341521795939
    val: 1
  - id: 12254
    lmfdb_iso: 672.b
    p: 41
    prec: 20
    unit: 1587951329279253733427871837058
    val: 1
  - id: 12255
    lmfdb_iso: 672.b
    p: 43
    prec: 20
    unit: 5713852197084352805384579835765
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  - id: 12261
    lmfdb_iso: 672.b
    p: 53
    prec: 20
    unit: 534181217529867814425026635428443
    val: 1
  - id: 12265
    lmfdb_iso: 672.b
    p: 59
    prec: 20
    unit: 1196432309162965407189020471137519
    val: 1
  - id: 12266
    lmfdb_iso: 672.b
    p: 61
    prec: 20
    unit: 51372485835248269848632291964095
    val: 2
  - id: 12250
    lmfdb_iso: 672.b
    p: 67
    prec: 20
    unit: 31417975202487320741173062816750760
    val: 1
  - id: 12252
    lmfdb_iso: 672.b
    p: 71
    prec: 20
    unit: 51603886653449102638824565716094975
    val: 1
  - id: 12262
    lmfdb_iso: 672.b
    p: 73
    prec: 20
    unit: 116179835552818713000168426507373071
    val: 1
  - id: 12249
    lmfdb_iso: 672.b
    p: 83
    prec: 20
    unit: 2088678762578840019564046828821944098
    val: 1
  - id: 12264
    lmfdb_iso: 672.b
    p: 89
    prec: 20
    unit: 6508372931631010542032591764449420036
    val: 1
  - id: 12248
    lmfdb_iso: 672.b
    p: 97
    prec: 20
    unit: 55255466205372153664545140697388023694
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 672.b3
- 672.b
- 672.b3
- 672.b3
- 672.b3
- 672.b3
- 672.b3
- 672.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T11:57:00.173524'