data:
- - Ciso: 12495a
    Clabel: 12495a2
    Cnumber: 2
    abc_quality: 0.9800332334775532
    absD: 84342641630625
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 14280
    ainvs:
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    - 1
    - 1
    - -18131
    - -836872
    analytic_rank: 0
    bad_primes:
    - 3
    - 5
    - 7
    - 17
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 12495
    degree: 49152
    elladic_images:
    - 4.12.0.3
    faltings_height:
      __RealLiteral__: 0
      data: '1.4010583381921786967006277707'
      prec: 100
    faltings_index: 1
    faltings_ratio: 2
    id: 81639
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 5602762882081
    - 716900625
    lmfdb_iso: 12495.b
    lmfdb_label: 12495.b4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
    - 0
    - -370
    - 2387
    min_quad_twist_disc: -7
    modell_images:
    - 2Cs
    modm_images:
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    - 4.12.0.b.1
    - 24.24.0-4.b.1.3
    - 28.24.0-4.b.1.3
    - 40.24.0-4.b.1.3
    - 68.24.0-4.b.1.2
    - 120.48.0.?
    - 168.48.0.?
    - 280.48.0.?
    - 408.48.0.?
    - 476.48.0.?
    - 680.48.0.?
    - 840.96.0.?
    - 2040.96.0.?
    - 2856.96.0.?
    - 4760.96.0.?
    - 14280.192.1.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 2
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.42810326366452204414795139898'
      prec: 103
    szpiro_ratio: 4.349557635641127
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
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    - -1
    - -1
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    - 0
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    - 12
    - 16
    - -10
    - 16
    - -4
    - 14
    - 14
    class_deg: 8
    class_size: 6
    conductor: 12495
    id: 48777
    isogeny_matrix:
    - - 1
      - 8
      - 2
      - 4
      - 8
      - 4
    - - 8
      - 1
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      - 4
      - 8
    - - 2
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    - - 4
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      - 1
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    - - 8
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    - - 4
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      - 2
      - 4
      - 8
      - 1
    lmfdb_iso: 12495.b
    trace_hash: 1043496155389508941
- - area:
      __RealLiteral__: 0
      data: '0.060681483529901437066355568608'
      prec: 107
    conductor: 12495
    gens: []
    heights: []
    id: 81639
    lmfdb_label: 12495.b4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.41489364987470476384484951437'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.82978729974940952768969902874549958161'
      prec: 133
    tamagawa_product: 32
    torsion_generators:
    - - -99
      - 49
      - 1
    - - 153
      - -77
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    xcoord_integral_points:
    - -99
    - 153
- - id: 81639
    iwdata:
      '17':
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      - 0
      '2':
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      '3':
      - 0
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      '5':
      - 0
      - 0
      '7': a
    iwp0: 3
    lmfdb_label: 12495.b4
- - degree: 2
    field:
    - 2
    - -1
    - 1
    id: 645549
    lmfdb_label: 12495.b4
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 2
    - 22
    - -21
    - -2
    - 1
    id: 645550
    lmfdb_label: 12495.b4
    torsion:
    - 2
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  - degree: 4
    field:
    - 36
    - 0
    - 5
    - 0
    - 1
    id: 645551
    lmfdb_label: 12495.b4
    torsion:
    - 2
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  - degree: 8
    field:
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    - -490
    - 35
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    - -7
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    id: 645555
    lmfdb_label: 12495.b4
    torsion:
    - 2
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  - degree: 8
    field:
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    - -16
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    id: 645554
    lmfdb_label: 12495.b4
    torsion:
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  - degree: 8
    field:
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    id: 645552
    lmfdb_label: 12495.b4
    torsion:
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  - degree: 8
    field:
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    id: 645553
    lmfdb_label: 12495.b4
    torsion:
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  - degree: 16
    field:
    - 540225
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    - 0
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    id: 645558
    lmfdb_label: 12495.b4
    torsion:
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  - degree: 16
    field:
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    id: 645557
    lmfdb_label: 12495.b4
    torsion:
    - 2
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  - degree: 16
    field:
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    id: 645556
    lmfdb_label: 12495.b4
    torsion:
    - 2
    - 8
- - conductor: 12495
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 270774
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 12495.b4
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 12495
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 270775
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 12495.b4
    prime: 5
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 12495
    conductor_valuation: 2
    discriminant_valuation: 8
    id: 270776
    j_denominator_valuation: 2
    kodaira_symbol: -6
    lmfdb_label: 12495.b4
    prime: 7
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 12495
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 270777
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 12495.b4
    prime: 17
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 3
      - 10718
      - 28
      - 3645
    - - 1687
      - 2
      - 5862
      - 14275
    - - 1
      - 0
      - 8
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    - - 14273
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      - 9
    - - 1
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      - 0
      - 1
    - - 2857
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    - - 14273
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    - - 9521
      - 4
      - 0
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    - - 5
      - 4
      - 14276
      - 14277
    - - 7145
      - 3576
      - 3564
      - 7133
    adelic_image: 14280.192.1.?
    conductor: 12495
    id: 1746983
    lmfdb_label: 12495.b4
    prime: 0
  - conductor: 12495
    elladic_image: 4.12.0.3
    id: 59593
    lmfdb_label: 12495.b4
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 12495.b4
- 12495.b
- 12495.b4
- 12495.b4
- 12495.b4
- 12495.b4
- 12495.b4
- 12495.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-16T04:47:57.415431'