data:
- - Ciso: 51870k
    Clabel: 51870k1
    Cnumber: 1
    abc_quality: 1.0122284725612463
    absD: 7250093712589769932800
    adelic_genus: 0
    adelic_index: 12
    adelic_level: 3192
    ainvs:
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    bad_primes:
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    - 3
    - 5
    - 7
    - 13
    - 19
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 51870
    degree: 13381632
    elladic_images:
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    faltings_height:
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      data: '3.4383063003947973994458097700'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 344111
    iso_nlabel: 14
    isogeny_degrees:
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    - 2
    jinv:
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    lmfdb_iso: 51870.o
    lmfdb_label: 51870.o1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 1
    - 0
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    - -2059002924771
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 56.6.0.c.1
    - 114.6.0.?
    - 3192.12.0.?
    nonmax_primes:
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    nonmax_rad: 2
    num_bad_primes: 6
    num_int_pts: 1
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: true
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '3.4383063003947973994458097700'
      prec: 100
    szpiro_ratio: 6.468893139229612
    torsion: 2
    torsion_primes:
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    torsion_structure:
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- - anlist:
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    class_deg: 2
    class_size: 2
    conductor: 51870
    id: 222200
    isogeny_matrix:
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    - - 2
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    lmfdb_iso: 51870.o
    trace_hash: 1692360159519509646
- - area:
      __RealLiteral__: 0
      data: '0.0010316326848733596882028585482'
      prec: 110
    conductor: 51870
    gens: []
    heights: []
    id: 344111
    lmfdb_label: 51870.o1
    ngens: 0
    rank_bounds:
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    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.036100992597100553471569094715'
      prec: 107
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.14440397038840221388627637886143302992'
      prec: 133
    tamagawa_product: 16
    torsion_generators:
    - - -10086
      - 5043
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    xcoord_integral_points:
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- - id: 344111
    iwdata:
      '13':
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      '19':
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      '2':
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      '3':
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      '5':
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      '7':
      - 0
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    iwp0: 3
    lmfdb_label: 51870.o1
- - degree: 2
    field:
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    - -1
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    id: 2510512
    lmfdb_label: 51870.o1
    torsion:
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    - 2
  - degree: 4
    field:
    - 9
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    id: 2510513
    lmfdb_label: 51870.o1
    torsion:
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  - degree: 8
    field:
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    id: 2510516
    lmfdb_label: 51870.o1
    torsion:
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  - degree: 8
    field:
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    id: 2510515
    lmfdb_label: 51870.o1
    torsion:
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  - degree: 8
    field:
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    id: 2510514
    lmfdb_label: 51870.o1
    torsion:
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  - degree: 16
    field:
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    id: 2510518
    lmfdb_label: 51870.o1
    torsion:
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  - degree: 16
    field:
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    id: 2510517
    lmfdb_label: 51870.o1
    torsion:
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- - conductor: 51870
    conductor_valuation: 1
    discriminant_valuation: 22
    id: 1241023
    j_denominator_valuation: 22
    kodaira_symbol: 26
    lmfdb_label: 51870.o1
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 51870
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 1241024
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 51870.o1
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 51870
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 1241025
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 51870.o1
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 51870
    conductor_valuation: 1
    discriminant_valuation: 6
    id: 1241026
    j_denominator_valuation: 6
    kodaira_symbol: 10
    lmfdb_label: 51870.o1
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 51870
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 1241027
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 51870.o1
    prime: 13
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 51870
    conductor_valuation: 1
    discriminant_valuation: 3
    id: 1241028
    j_denominator_valuation: 3
    kodaira_symbol: 7
    lmfdb_label: 51870.o1
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 1597
      - 4
      - 2
      - 9
    - - 401
      - 2794
      - 2792
      - 399
    - - 1
      - 2
      - 2
      - 5
    - - 1
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      - 0
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    - - 1066
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      - 1063
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    - - 3189
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      - 3188
      - 5
    - - 2018
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    - - 1
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      - 4
      - 1
    - - 3
      - 4
      - 8
      - 11
    - - 913
      - 4
      - 1826
      - 9
    adelic_image: 3192.12.0.?
    conductor: 51870
    id: 2008826
    lmfdb_label: 51870.o1
    prime: 0
  - conductor: 51870
    elladic_image: 2.3.0.1
    id: 222018
    lmfdb_label: 51870.o1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 51870.o1
- 51870.o
- 51870.o1
- 51870.o1
- 51870.o1
- 51870.o1
- 51870.o1
- 51870.o
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-12T05:23:29.069623'