data:
- - Ciso: 1155f
    Clabel: 1155f3
    Cnumber: 3
    abc_quality: 1.0102612456526172
    absD: 522287841796875
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 3080
    ainvs:
    - 1
    - 1
    - 0
    - -20702
    - -333459
    analytic_rank: 1
    bad_primes:
    - 3
    - 5
    - 7
    - 11
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 1155
    degree: 4608
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '1.5154768544539158016888728531'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 6087
    iso_nlabel: 10
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 981281029968144361
    - 522287841796875
    lmfdb_iso: 1155.k
    lmfdb_label: 1155.k1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 1
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    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 44.24.0-44.h.1.2
    - 280.24.0.?
    - 3080.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 6
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '1.1180524970622027663771016754'
      prec: 100
    semistable: true
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '1.5154768544539158016888728531'
      prec: 100
    szpiro_ratio: 5.874714047114843
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
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    - 1
    - -1
    - -1
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    - 1
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    - 1
    - -1
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    aplist:
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    - 1
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    - 0
    - -14
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    - 10
    - 16
    - -4
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    class_deg: 4
    class_size: 4
    conductor: 1155
    id: 2996
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
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      - 4
      - 1
    lmfdb_iso: 1155.k
    trace_hash: 606824859377570068
- - area:
      __RealLiteral__: 0
      data: '0.048269581037618117200542858957'
      prec: 107
    conductor: 1155
    gens:
    - - 212
      - 2099
      - 1
    heights:
    - __RealLiteral__: 0
      data: '1.1180524970622027663771016754'
      prec: 100
    id: 6087
    lmfdb_label: 1155.k1
    ngens: 1
    rank_bounds:
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    - 1
    real_period:
      __RealLiteral__: 0
      data: '0.42289855051080424227399030465'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.8369366824155446097475978415636351933'
      prec: 130
    tamagawa_product: 96
    torsion_generators:
    - - -68
      - 909
      - 1
    xcoord_integral_points:
    - -68
    - 212
    - 932
- - id: 6087
    iwdata:
      '11':
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      '13':
      - 1
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      '17':
      - 1
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      '19':
      - 1
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      '2':
      - 3
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      '23':
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      '29':
      - 1
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      '3':
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      '31':
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      '37':
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      '41':
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      '43':
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      '47':
      - 3
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      '5':
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      '7':
      - 2
      - 0
    iwp0: 0
    lmfdb_label: 1155.k1
- - degree: 2
    field:
    - -11
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    - 1
    id: 56971
    lmfdb_label: 1155.k1
    torsion:
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    - 4
  - degree: 4
    field:
    - 11
    - 0
    - 3
    - 0
    - 1
    id: 56972
    lmfdb_label: 1155.k1
    torsion:
    - 8
  - degree: 8
    field:
    - -30890
    - -62700
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    - -132
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    id: 56974
    lmfdb_label: 1155.k1
    torsion:
    - 2
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  - degree: 8
    field:
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    - -4
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    id: 56976
    lmfdb_label: 1155.k1
    torsion:
    - 12
  - degree: 8
    field:
    - 100
    - 0
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    id: 56973
    lmfdb_label: 1155.k1
    torsion:
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  - degree: 8
    field:
    - 27225
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    id: 56975
    lmfdb_label: 1155.k1
    torsion:
    - 2
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  - degree: 16
    field:
    - 9150625
    - 0
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    - 0
    - 2190100
    - 0
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    - 0
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    id: 56978
    lmfdb_label: 1155.k1
    torsion:
    - 2
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  - degree: 16
    field:
    - 15083524225
    - 0
    - -665233800
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    - 59090955
    - 0
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    - 0
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    - 0
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    - 0
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    - 0
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    id: 56977
    lmfdb_label: 1155.k1
    torsion:
    - 16
- - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 16775
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 1155.k1
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 12
    id: 16776
    j_denominator_valuation: 12
    kodaira_symbol: 16
    lmfdb_label: 1155.k1
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 12
  - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 16777
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 1155.k1
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
  - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 16778
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 1155.k1
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 2201
      - 8
      - 2644
      - 33
    - - 1
      - 0
      - 8
      - 1
    - - 617
      - 8
      - 2468
      - 33
    - - 1
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      - 0
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    - - 1
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      - 4
      - 17
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    - - 2696
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    - - 3073
      - 8
      - 3072
      - 9
    - - 7
      - 6
      - 3074
      - 3075
    - - 1688
      - 3
      - 285
      - 2
    adelic_image: 3080.48.0.?
    conductor: 1155
    id: 1671859
    lmfdb_label: 1155.k1
    prime: 0
  - conductor: 1155
    elladic_image: 4.12.0.7
    id: 5512
    lmfdb_label: 1155.k1
    modell_image: 2B
    prime: 2
- - id: 28110
    lmfdb_iso: 1155.k
    p: 13
    prec: 20
    unit: 186136674148977205450
    val: 1
  - id: 28112
    lmfdb_iso: 1155.k
    p: 17
    prec: 20
    unit: 80751261292255881299706
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  - id: 28102
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    p: 19
    prec: 20
    unit: 1394527082119871536326754
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  - id: 28116
    lmfdb_iso: 1155.k
    p: 23
    prec: 20
    unit: 44735907424164943378727273
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  - id: 28109
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    prec: 20
    unit: 1316873436229613811313949528
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  - id: 28119
    lmfdb_iso: 1155.k
    p: 31
    prec: 20
    unit: 2909261282001285562741720452
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  - id: 28105
    lmfdb_iso: 1155.k
    p: 37
    prec: 20
    unit: 471347674352835843543685114873
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  - id: 28107
    lmfdb_iso: 1155.k
    p: 41
    prec: 20
    unit: 1465882883684629198149823976980
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  - id: 28108
    lmfdb_iso: 1155.k
    p: 43
    prec: 20
    unit: 7848206586369077121436746873355
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  - id: 28114
    lmfdb_iso: 1155.k
    p: 53
    prec: 20
    unit: 412996809766558531507749377684360
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  - id: 28118
    lmfdb_iso: 1155.k
    p: 61
    prec: 20
    unit: 5789650773122499417400523921126998
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  - id: 28104
    lmfdb_iso: 1155.k
    p: 67
    prec: 20
    unit: 34305533449439416615854476644759310
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  - id: 28106
    lmfdb_iso: 1155.k
    p: 71
    prec: 20
    unit: 140131806960784529386020436042802838
    val: 1
  - id: 28115
    lmfdb_iso: 1155.k
    p: 73
    prec: 20
    unit: 46478681181424330191921312251579135
    val: 1
  - id: 28111
    lmfdb_iso: 1155.k
    p: 79
    prec: 20
    unit: 789280551629725277447077203980746878
    val: 1
  - id: 28113
    lmfdb_iso: 1155.k
    p: 83
    prec: 20
    unit: 2292065997025012980249847369215248221
    val: 1
  - id: 28117
    lmfdb_iso: 1155.k
    p: 89
    prec: 20
    unit: 3892789566970541583364875965774342962
    val: 1
  - id: 28103
    lmfdb_iso: 1155.k
    p: 97
    prec: 20
    unit: 38849983024230756193239201060134464670
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1155.k1
- 1155.k
- 1155.k1
- 1155.k1
- 1155.k1
- 1155.k1
- 1155.k1
- 1155.k
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T01:33:52.495192'