data:
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    Clabel: 27a2
    Cnumber: 2
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    absD: 177147
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    class_deg: 27
    class_size: 4
    cm: -27
    conductor: 27
    degree: 3
    elladic_images:
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    faltings_height:
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      prec: 107
    faltings_index: 3
    faltings_ratio: 9
    id: 46
    iso_nlabel: 0
    isogeny_degrees:
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    jinv:
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    lmfdb_iso: 27.a
    lmfdb_label: 27.a1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
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    min_quad_twist_disc: -3
    modell_images:
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    nonmax_primes:
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    nonmax_rad: 3
    num_bad_primes: 1
    num_int_pts: 0
    optimality: 0
    potential_good_reduction: true
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
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      data: '-0.95491333220533468452478745021'
      prec: 107
    szpiro_ratio: 8.619664953039187
    torsion: 1
    torsion_primes: []
    torsion_structure: []
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    class_deg: 27
    class_size: 4
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    id: 10
    isogeny_matrix:
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    lmfdb_iso: 27.a
    trace_hash: 903291523394155081
- - area:
      __RealLiteral__: 0
      data: '0.90095869600696607120514478004'
      prec: 103
    conductor: 27
    gens: []
    heights: []
    id: 46
    lmfdb_label: 27.a1
    ngens: 0
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '0.58887958342848331910456316655'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
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      data: '0.58887958342848331910456316654932546833'
      prec: 133
    tamagawa_product: 1
    torsion_generators: []
    xcoord_integral_points: []
- - id: 46
    iwdata:
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      '3': a
    iwp0: 5
    lmfdb_label: 27.a1
- - degree: 2
    field:
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    id: 639
    lmfdb_label: 27.a1
    torsion:
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  - degree: 3
    field:
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    id: 641
    lmfdb_label: 27.a1
    torsion:
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    id: 640
    lmfdb_label: 27.a1
    torsion:
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    lmfdb_label: 27.a1
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    field:
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    torsion:
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    torsion:
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    torsion:
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    field:
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    id: 652
    lmfdb_label: 27.a1
    torsion:
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- - conductor: 27
    conductor_valuation: 3
    discriminant_valuation: 11
    id: 81
    j_denominator_valuation: 0
    kodaira_symbol: -2
    lmfdb_label: 27.a1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 1
- - conductor: 27
    elladic_image: 27.648.13.34
    id: 1665730
    lmfdb_label: 27.a1
    modell_image: 3B.1.2
    prime: 3
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 27.a1
- 27.a
- 27.a1
- 27.a1
- 27.a1
- 27.a1
- 27.a1
- 27.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T12:38:16.214999'