data:
- - Ciso: 3136s
    Clabel: 3136s2
    Cnumber: 2
    abc_quality: 1.0653400939100561
    absD: 377801998336
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 56
    ainvs:
    - 0
    - 0
    - 0
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    - 82320
    analytic_rank: 1
    bad_primes:
    - 2
    - 7
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 3136
    degree: 3072
    elladic_images:
    - 8.24.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '0.97092224772906916420613283473'
      prec: 103
    faltings_index: 1
    faltings_ratio: 2
    id: 18649
    iso_nlabel: 15
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 740772
    - 49
    lmfdb_iso: 3136.p
    lmfdb_label: 3136.p3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
    - 0
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    min_quad_twist_disc: 56
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0-2.a.1.2
    - 8.24.0-8.a.1.4
    - 28.24.0-28.b.1.4
    - 56.48.0-56.d.1.8
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 5
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '3.8661144666795749330333708156'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.92622906754518123423618636560'
      prec: 107
    szpiro_ratio: 4.506595539393541
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
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    aplist:
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    - 6
    class_deg: 4
    class_size: 4
    conductor: 3136
    id: 9984
    isogeny_matrix:
    - - 1
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      - 4
    - - 4
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      - 2
      - 4
    - - 2
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      - 2
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    lmfdb_iso: 3136.p
    trace_hash: 293581156173131875
- - area:
      __RealLiteral__: 0
      data: '0.14343913279695973611534374592'
      prec: 103
    conductor: 3136
    gens:
    - - 92
      - 720
      - 1
    heights:
    - __RealLiteral__: 0
      data: '3.8661144666795749330333708156'
      prec: 100
    id: 18649
    lmfdb_label: 3136.p3
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '0.93493147424956756866377454482'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.6145520979503156654594075894304716037'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - 28
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    - - 42
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      - 1
    xcoord_integral_points:
    - -70
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    - 42
    - 92
- - id: 18649
    iwdata:
      '11':
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      '13':
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      '43':
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      '47':
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      '5':
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      '7': a
    iwp0: 0
    lmfdb_label: 3136.p3
- - degree: 4
    field:
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    id: 162644
    lmfdb_label: 3136.p3
    torsion:
    - 2
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  - degree: 4
    field:
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    id: 162646
    lmfdb_label: 3136.p3
    torsion:
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  - degree: 4
    field:
    - 16
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    id: 162645
    lmfdb_label: 3136.p3
    torsion:
    - 2
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  - degree: 8
    field:
    - -2352
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    id: 162648
    lmfdb_label: 3136.p3
    torsion:
    - 2
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  - degree: 8
    field:
    - 16
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    id: 162647
    lmfdb_label: 3136.p3
    torsion:
    - 4
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  - degree: 16
    field:
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    id: 162651
    lmfdb_label: 3136.p3
    torsion:
    - 2
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  - degree: 16
    field:
    - 4
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    id: 162650
    lmfdb_label: 3136.p3
    torsion:
    - 2
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  - degree: 16
    field:
    - 256
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    id: 162649
    lmfdb_label: 3136.p3
    torsion:
    - 2
    - 8
- - conductor: 3136
    conductor_valuation: 6
    discriminant_valuation: 16
    id: 56314
    j_denominator_valuation: 0
    kodaira_symbol: -10
    lmfdb_label: 3136.p3
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 3136
    conductor_valuation: 2
    discriminant_valuation: 8
    id: 56315
    j_denominator_valuation: 2
    kodaira_symbol: -6
    lmfdb_label: 3136.p3
    prime: 7
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 27
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      - 0
      - 55
    - - 39
      - 52
      - 22
      - 47
    - - 53
      - 4
      - 52
      - 5
    - - 1
      - 4
      - 0
      - 1
    - - 1
      - 0
      - 4
      - 1
    - - 41
      - 52
      - 0
      - 55
    adelic_image: 56.48.0.?
    conductor: 3136
    id: 1684310
    lmfdb_label: 3136.p3
    prime: 0
  - conductor: 3136
    elladic_image: 8.24.0.7
    id: 15623
    lmfdb_label: 3136.p3
    modell_image: 2Cs
    prime: 2
- - id: 102456
    lmfdb_iso: 3136.p
    p: 5
    prec: 20
    unit: 11908445812099
    val: 1
  - id: 102455
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    unit: 56509935621477794331
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  - id: 102462
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    unit: 16104047731919954308
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  - id: 102464
    lmfdb_iso: 3136.p
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    unit: 57844946017799588034175
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  - id: 102465
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    unit: 1081995942294233562178779
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    unit: 2569307246109567854834814645
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  - id: 102472
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    unit: 492924840973815069754642299794
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    unit: 3302481781618581880330482997125
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  - id: 102460
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  - id: 102463
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    unit: 18560823433028635590932421945215
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  - id: 102466
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    p: 53
    prec: 20
    unit: 392208261939859451993206856343503
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  - id: 102471
    lmfdb_iso: 3136.p
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    prec: 20
    unit: 371874796237062174367656146456793
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  - id: 102454
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    unit: 47278108839631897985987079865831548
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    p: 71
    prec: 20
    unit: 68685682754680478461766937908669246
    val: 1
  - id: 102467
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    unit: 5670106855039894473714378739937513
    val: 1
  - id: 102470
    lmfdb_iso: 3136.p
    p: 79
    prec: 20
    unit: 129359007591201333855586180204198178
    val: 1
  - id: 102468
    lmfdb_iso: 3136.p
    p: 83
    prec: 20
    unit: 450433517631086730658345644013184906
    val: 1
  - id: 102469
    lmfdb_iso: 3136.p
    p: 89
    prec: 20
    unit: 4798056593822965475506305562139447850
    val: 1
  - id: 102453
    lmfdb_iso: 3136.p
    p: 97
    prec: 20
    unit: 18846459181408657203064101989328933017
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 3136.p3
- 3136.p
- 3136.p3
- 3136.p3
- 3136.p3
- 3136.p3
- 3136.p3
- 3136.p
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-16T21:00:37.418786'