data:
- - Ciso: 57b
    Clabel: 57b4
    Cnumber: 4
    abc_quality: 0.9747386105988611
    absD: 390963
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 456
    ainvs:
    - 1
    - 0
    - 1
    - 8
    - 29
    analytic_rank: 0
    bad_primes:
    - 3
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 57
    degree: 6
    elladic_images:
    - 4.12.0.8
    faltings_height:
      __RealLiteral__: 0
      data: '-0.24500866220282609366943236987'
      prec: 107
    faltings_index: 3
    faltings_ratio: 4
    id: 155
    iso_nlabel: 2
    isogeny_degrees:
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    - 2
    - 4
    jinv:
    - 67419143
    - 390963
    lmfdb_iso: 57.c
    lmfdb_label: 57.c4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
    - 1
    - 8
    - 29
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.2
    - 6.6.0.a.1
    - 12.24.0-12.g.1.1
    - 152.24.0.?
    - 456.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 0
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: true
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.24500866220282609366943236987'
      prec: 107
    szpiro_ratio: 5.002646594097255
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
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    - 1
    - 1
    - 1
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    aplist:
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    - 0
    - 16
    - -2
    - 10
    class_deg: 4
    class_size: 4
    conductor: 57
    id: 41
    isogeny_matrix:
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      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
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      - 1
    lmfdb_iso: 57.c
    trace_hash: 75089547396961172
- - area:
      __RealLiteral__: 0
      data: '1.6323444991086851765528142860'
      prec: 100
    conductor: 57
    gens: []
    heights: []
    id: 155
    lmfdb_label: 57.c4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '2.1706045445353464461112052163'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.0853022722676732230556026081559242659'
      prec: 130
    tamagawa_product: 2
    torsion_generators:
    - - -9
      - 5
      - 2
    xcoord_integral_points: []
- - id: 155
    iwdata:
      '19':
      - 0
      - 0
      '2':
      - 0
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      '3':
      - 3
      - 0
    iwp0: 3
    lmfdb_label: 57.c4
- - degree: 2
    field:
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    id: 2041
    lmfdb_label: 57.c4
    torsion:
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  - degree: 2
    field:
    - 1
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    id: 2040
    lmfdb_label: 57.c4
    torsion:
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  - degree: 2
    field:
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    id: 2042
    lmfdb_label: 57.c4
    torsion:
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  - degree: 4
    field:
    - 1
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    id: 2044
    lmfdb_label: 57.c4
    torsion:
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  - degree: 4
    field:
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    - -3
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    - 1
    id: 2043
    lmfdb_label: 57.c4
    torsion:
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  - degree: 8
    field:
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    - 0
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    - 0
    - 0
    - 0
    - 1
    id: 2048
    lmfdb_label: 57.c4
    torsion:
    - 6
  - degree: 8
    field:
    - 1
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    - -10
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    - -2
    - 2
    - -2
    - 1
    id: 2045
    lmfdb_label: 57.c4
    torsion:
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  - degree: 8
    field:
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    id: 2046
    lmfdb_label: 57.c4
    torsion:
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  - degree: 8
    field:
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    id: 2047
    lmfdb_label: 57.c4
    torsion:
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  - degree: 16
    field:
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    - 0
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    id: 2053
    lmfdb_label: 57.c4
    torsion:
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  - degree: 16
    field:
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    - 0
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    - 0
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    id: 2049
    lmfdb_label: 57.c4
    torsion:
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  - degree: 16
    field:
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    - 0
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    - 0
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    - 0
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    id: 2054
    lmfdb_label: 57.c4
    torsion:
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  - degree: 16
    field:
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    id: 2052
    lmfdb_label: 57.c4
    torsion:
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  - degree: 16
    field:
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    id: 2051
    lmfdb_label: 57.c4
    torsion:
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    field:
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    id: 2050
    lmfdb_label: 57.c4
    torsion:
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    - 8
- - conductor: 57
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 296
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 57.c4
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
  - conductor: 57
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 297
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 57.c4
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 7
      - 6
      - 450
      - 451
    - - 97
      - 8
      - 388
      - 33
    - - 1
      - 0
      - 8
      - 1
    - - 449
      - 8
      - 448
      - 9
    - - 403
      - 402
      - 298
      - 67
    - - 160
      - 3
      - 157
      - 2
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 179
      - 172
      - 218
      - 405
    adelic_image: 456.48.0.?
    conductor: 57
    id: 1666029
    lmfdb_label: 57.c4
    prime: 0
  - conductor: 57
    elladic_image: 4.12.0.8
    id: 181
    lmfdb_label: 57.c4
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 57.c4
- 57.c
- 57.c4
- 57.c4
- 57.c4
- 57.c4
- 57.c4
- 57.c
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T16:43:44.723288'