data:
- - Ciso: 27200ce
    Clabel: 27200ce1
    Cnumber: 1
    abc_quality: 0.8484639388765889
    absD: 1740800000000
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 680
    ainvs:
    - 0
    - 1
    - 0
    - -13633
    - 604863
    analytic_rank: 0
    bad_primes:
    - 2
    - 5
    - 17
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 27200
    degree: 49152
    elladic_images:
    - 4.6.0.3
    faltings_height:
      __RealLiteral__: 0
      data: '1.1867522164689448943636575539'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 180463
    iso_nlabel: 8
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 68417929
    - 425
    lmfdb_iso: 27200.i
    lmfdb_label: 27200.i1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 1
    - 0
    - -8
    - -13
    min_quad_twist_disc: -40
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.b.1
    - 34.6.0.a.1
    - 40.12.0-4.b.1.3
    - 68.12.0.e.1
    - 136.24.0.?
    - 340.24.0.?
    - 680.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.65768751058802325706257029490'
      prec: 107
    szpiro_ratio: 3.9344365257505642
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - -2
    - 0
    - 0
    - 0
    - -2
    - 0
    - 1
    - 0
    - 2
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    - 2
    - 0
    - 0
    - 0
    - -1
    - 0
    - 0
    - 0
    aplist:
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    - 0
    - -2
    - 2
    - 2
    - -1
    - 0
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    - 6
    - 10
    - 2
    - 10
    - -4
    - 12
    - -10
    - 8
    - 14
    - -8
    - 2
    - 14
    - 14
    - -4
    - 6
    - -2
    class_deg: 2
    class_size: 2
    conductor: 27200
    id: 112808
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    lmfdb_iso: 27200.i
    trace_hash: 188742259596854163
- - area:
      __RealLiteral__: 0
      data: '0.093153702692626599793961392555'
      prec: 107
    conductor: 27200
    gens: []
    heights: []
    id: 180463
    lmfdb_label: 27200.i1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.84304074712837674972115874449'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.6860814942567534994423174889843086955'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - 63
      - 0
      - 1
    xcoord_integral_points:
    - 63
- - id: 180463
    iwdata:
      '17':
      - 0
      - 0
      '2': a
      '5': a
    iwp0: 3
    lmfdb_label: 27200.i1
- - degree: 2
    field:
    - -4
    - -1
    - 1
    id: 1362657
    lmfdb_label: 27200.i1
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - 425
    - 0
    - -40
    - 0
    - 1
    id: 1362658
    lmfdb_label: 27200.i1
    torsion:
    - 4
  - degree: 8
    field:
    - -10800
    - 0
    - 2120
    - 0
    - -360
    - 0
    - 0
    - 0
    - 1
    id: 1362661
    lmfdb_label: 27200.i1
    torsion:
    - 6
  - degree: 8
    field:
    - 1024
    - 0
    - 1440
    - 0
    - 124
    - 0
    - -40
    - 0
    - 1
    id: 1362659
    lmfdb_label: 27200.i1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 10000
    - 0
    - 0
    - 0
    - 225
    - 0
    - 0
    - 0
    - 1
    id: 1362660
    lmfdb_label: 27200.i1
    torsion:
    - 2
    - 4
  - degree: 16
    field:
    - 4096
    - 0
    - 0
    - 0
    - 28432
    - 0
    - 0
    - 0
    - 8289
    - 0
    - 0
    - 0
    - 338
    - 0
    - 0
    - 0
    - 1
    id: 1362662
    lmfdb_label: 27200.i1
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 6161
    - -18184
    - 18752
    - -10972
    - 8948
    - -7120
    - 5070
    - -4020
    - 1477
    - -608
    - 746
    - -308
    - 68
    - -32
    - 30
    - -8
    - 1
    id: 1362663
    lmfdb_label: 27200.i1
    torsion:
    - 8
  - degree: 16
    field:
    - 81497936
    - -72323648
    - 70888456
    - 11285568
    - -26102504
    - 22939136
    - -4978736
    - -2245856
    - 508497
    - 38824
    - -11716
    - 2696
    - -874
    - 168
    - -4
    - -8
    - 1
    id: 1362664
    lmfdb_label: 27200.i1
    torsion:
    - 2
    - 6
- - conductor: 27200
    conductor_valuation: 6
    discriminant_valuation: 18
    id: 627547
    j_denominator_valuation: 0
    kodaira_symbol: -12
    lmfdb_label: 27200.i1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 27200
    conductor_valuation: 2
    discriminant_valuation: 8
    id: 627548
    j_denominator_valuation: 2
    kodaira_symbol: -6
    lmfdb_label: 27200.i1
    prime: 5
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 27200
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 627549
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 27200.i1
    prime: 17
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 169
      - 672
      - 336
      - 647
    - - 86
      - 1
      - 103
      - 4
    - - 1
      - 0
      - 8
      - 1
    - - 3
      - 8
      - 28
      - 75
    - - 5
      - 8
      - 48
      - 77
    - - 673
      - 8
      - 672
      - 9
    - - 339
      - 672
      - 0
      - 679
    - - 401
      - 674
      - 142
      - 5
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    adelic_image: 680.48.0.?
    conductor: 27200
    id: 1845464
    lmfdb_label: 27200.i1
    prime: 0
  - conductor: 27200
    elladic_image: 4.6.0.3
    id: 123117
    lmfdb_label: 27200.i1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 27200.i1
- 27200.i
- 27200.i1
- 27200.i1
- 27200.i1
- 27200.i1
- 27200.i1
- 27200.i
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-15T22:50:09.997284'