data:
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    Clabel: 4851g1
    Cnumber: 1
    abc_quality: 0.8976422655851721
    absD: 101100503071953
    adelic_genus: 0
    adelic_index: 2
    adelic_level: 132
    ainvs:
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    - 362074
    analytic_rank: 1
    bad_primes:
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    - 7
    - 11
    class_deg: 1
    class_size: 1
    cm: 0
    conductor: 4851
    degree: 18816
    elladic_images: []
    faltings_height:
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      data: '1.3730616924084445644467806353'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 30059
    iso_nlabel: 13
    isogeny_degrees:
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    jinv:
    - 17999471
    - 24057
    lmfdb_iso: 4851.n
    lmfdb_label: 4851.n1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
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    min_quad_twist_disc: 21
    modell_images: []
    modm_images:
    - 132.2.0.?
    nonmax_primes: []
    nonmax_rad: 1
    num_bad_primes: 3
    num_int_pts: 2
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
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      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
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      prec: 107
    szpiro_ratio: 4.6111417074142524
    torsion: 1
    torsion_primes: []
    torsion_structure: []
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    class_deg: 1
    class_size: 1
    conductor: 4851
    id: 16693
    isogeny_matrix:
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    lmfdb_iso: 4851.n
    trace_hash: 879180584702118035
- - area:
      __RealLiteral__: 0
      data: '0.064176165904001906757467023432'
      prec: 107
    conductor: 4851
    gens:
    - - 86
      - 1280
      - 1
    heights:
    - __RealLiteral__: 0
      data: '1.4286732453437655195898438689'
      prec: 100
    id: 30059
    lmfdb_label: 4851.n1
    ngens: 1
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '0.40285198148096458384694301662'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.4532630866534571907977316780499303479'
      prec: 130
    tamagawa_product: 6
    torsion_generators: []
    xcoord_integral_points:
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- - id: 30059
    iwdata:
      '11':
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      '13':
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      '43':
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      '5':
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    iwp0: 0
    lmfdb_label: 4851.n1
- - degree: 3
    field:
    - -6
    - 12
    - -1
    - 1
    id: 253788
    lmfdb_label: 4851.n1
    torsion:
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  - degree: 6
    field:
    - 2673
    - 0
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    id: 253789
    lmfdb_label: 4851.n1
    torsion:
    - 2
    - 2
  - degree: 8
    field:
    - -23
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    - 5
    - 1
    - -7
    - 7
    - -4
    - 1
    id: 253790
    lmfdb_label: 4851.n1
    torsion:
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  - degree: 12
    field:
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    - 792
    - -429
    - -3960
    - 6599
    - -2100
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    - 476
    - -128
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    - -4
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    id: 253791
    lmfdb_label: 4851.n1
    torsion:
    - 4
- - conductor: 4851
    conductor_valuation: 2
    discriminant_valuation: 13
    id: 93676
    j_denominator_valuation: 7
    kodaira_symbol: -11
    lmfdb_label: 4851.n1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 4851
    conductor_valuation: 2
    discriminant_valuation: 8
    id: 93677
    j_denominator_valuation: 0
    kodaira_symbol: -4
    lmfdb_label: 4851.n1
    prime: 7
    reduction_type: 0
    root_number: 1
    tamagawa_number: 3
  - conductor: 4851
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 93678
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 4851.n1
    prime: 11
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
- - adelic_gens:
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      - 89
      - 3
    - - 1
      - 2
      - 0
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    - - 67
      - 2
      - 67
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    - - 1
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    - - 131
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      - 130
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    - - 13
      - 2
      - 13
      - 3
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    adelic_image: 132.2.0.?
    conductor: 4851
    id: 1695667
    lmfdb_label: 4851.n1
    prime: 0
- - id: 177193
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    p: 5
    prec: 20
    unit: 10367785618259
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  - id: 177200
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    p: 17
    prec: 20
    unit: 235530060433357251260071
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  - id: 177190
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  - id: 177204
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  - id: 177198
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    unit: 1173656741476437455428064067
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  - id: 177195
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  - id: 177208
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  - id: 177196
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  - id: 177197
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    unit: 7042543000438272849959638092741
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  - id: 177206
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  - id: 177202
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    unit: 828348024935350137481068022671973
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  - id: 177207
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  - id: 177192
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  - id: 177194
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  - id: 177201
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  - id: 177205
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  - id: 177191
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label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 4851.n1
- 4851.n
- 4851.n1
- 4851.n1
- 4851.n1
- 4851.n1
- 4851.n1
- 4851.n
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-22T12:33:16.376841'