data:
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    Clabel: 5054c5
    Cnumber: 5
    abc_quality: 1.0293250379726038
    absD: 86329568002048
    adelic_genus: 21
    adelic_index: 864
    adelic_level: 9576
    ainvs:
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    analytic_rank: 0
    bad_primes:
    - 2
    - 7
    - 19
    class_deg: 18
    class_size: 6
    cm: 0
    conductor: 5054
    degree: 21384
    elladic_images:
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    - 9.12.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '1.5387468797263320328766800101'
      prec: 100
    faltings_index: 4
    faltings_ratio: 9
    id: 31429
    iso_nlabel: 2
    isogeny_degrees:
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    - 2
    - 3
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    jinv:
    - -548347731625
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    lmfdb_iso: 5054.c
    lmfdb_label: 5054.c2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
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    min_quad_twist_disc: -19
    modell_images:
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    modm_images:
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    - 72.72.1.?
    - 114.24.0.?
    - 126.216.7.?
    - 168.48.1.?
    - 171.24.0.?
    - 342.72.0.?
    - 456.48.0.?
    - 504.432.21.?
    - 798.48.0.?
    - 1197.72.0.?
    - 1368.144.1.?
    - 2394.432.7.?
    - 3192.96.1.?
    - 9576.864.21.?
    nonmax_primes:
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    - 3
    nonmax_rad: 6
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.066527390143111802872166294156'
      prec: 107
    szpiro_ratio: 5.2418989841057195
    torsion: 2
    torsion_primes:
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    torsion_structure:
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    class_deg: 18
    class_size: 6
    conductor: 5054
    id: 17496
    isogeny_matrix:
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      - 1
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    - - 18
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      - 2
      - 1
      - 3
    - - 6
      - 3
      - 2
      - 6
      - 3
      - 1
    lmfdb_iso: 5054.c
    trace_hash: 346606733482046324
- - area:
      __RealLiteral__: 0
      data: '0.046074586062842389236804473138'
      prec: 107
    conductor: 5054
    gens: []
    heights: []
    id: 31429
    lmfdb_label: 5054.c2
    ngens: 0
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '0.60817709098151674228887984272'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '5.4735938188336506805999185845067634179'
      prec: 130
    tamagawa_product: 36
    torsion_generators:
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      - 143
      - 1
    xcoord_integral_points:
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- - id: 31429
    iwdata:
      '19': a
      '2':
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      '3':
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      '7':
      - 1
      - 0
    iwp0: 5
    lmfdb_label: 5054.c2
- - degree: 2
    field:
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    id: 264913
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 2
    field:
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    id: 264912
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 4
    field:
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    id: 264914
    lmfdb_label: 5054.c2
    torsion:
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    field:
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    id: 264915
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 6
    field:
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    id: 264916
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 6
    field:
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    id: 264917
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 8
    field:
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    id: 264920
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 8
    field:
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    id: 264919
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 8
    field:
    - 34622
    - 8358
    - 5817
    - 462
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    - 38
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    - 1
    id: 264918
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 12
    field:
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    id: 264923
    lmfdb_label: 5054.c2
    torsion:
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  - degree: 12
    field:
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    torsion:
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    field:
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    lmfdb_label: 5054.c2
    torsion:
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    field:
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    lmfdb_label: 5054.c2
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    field:
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    field:
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    id: 264926
    lmfdb_label: 5054.c2
    torsion:
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- - conductor: 5054
    conductor_valuation: 1
    discriminant_valuation: 18
    id: 98245
    j_denominator_valuation: 18
    kodaira_symbol: 22
    lmfdb_label: 5054.c2
    prime: 2
    reduction_type: 1
    root_number: -1
    tamagawa_number: 18
  - conductor: 5054
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 98246
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 5054.c2
    prime: 7
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  - conductor: 5054
    conductor_valuation: 2
    discriminant_valuation: 6
    id: 98247
    j_denominator_valuation: 0
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    prime: 19
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- - adelic_gens:
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    adelic_image: 9576.864.21.?
    conductor: 5054
    id: 1697020
    lmfdb_label: 5054.c2
    prime: 0
  - conductor: 5054
    elladic_image: 8.6.0.1
    id: 25150
    lmfdb_label: 5054.c2
    modell_image: 2B
    prime: 2
  - conductor: 5054
    elladic_image: 9.12.0.1
    id: 25151
    lmfdb_label: 5054.c2
    modell_image: 3B
    prime: 3
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 5054.c2
- 5054.c
- 5054.c2
- 5054.c2
- 5054.c2
- 5054.c2
- 5054.c2
- 5054.c
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-19T13:36:06.484479'