data:
- - Ciso: 1155m
    Clabel: 1155m3
    Cnumber: 3
    abc_quality: 1.0056359832491233
    absD: 326869475625
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 9240
    ainvs:
    - 1
    - 0
    - 0
    - -190575
    - -32037768
    analytic_rank: 0
    bad_primes:
    - 3
    - 5
    - 7
    - 11
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 1155
    degree: 3840
    elladic_images:
    - 4.24.0.6
    faltings_height:
      __RealLiteral__: 0
      data: '1.5525633909367667060011590320'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 6104
    iso_nlabel: 5
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 765458482133960722801
    - 326869475625
    lmfdb_iso: 1155.f
    lmfdb_label: 1155.f2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 0
    - -190575
    - -32037768
    min_quad_twist_disc: 1
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.24.0-4.b.1.1
    - 24.48.0-24.i.1.3
    - 56.48.0-56.h.1.1
    - 84.48.0.?
    - 168.96.0.?
    - 440.48.0.?
    - 1320.96.0.?
    - 3080.96.0.?
    - 9240.192.1.?
    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: true
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '1.5525633909367667060011590320'
      prec: 100
    szpiro_ratio: 6.819057170528335
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - 1
    - -1
    - 1
    - -1
    - 1
    - 3
    - 1
    - -1
    - -1
    - -1
    - -2
    - -1
    - 1
    - -1
    - 2
    - -1
    - 4
    - -1
    aplist:
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    - 1
    - 1
    - 1
    - -1
    - -2
    - 2
    - 4
    - 0
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    - 6
    - -6
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    - 0
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    - 4
    - 6
    - 12
    - 0
    - 10
    - 8
    - -4
    - 10
    - 10
    class_deg: 8
    class_size: 6
    conductor: 1155
    id: 3003
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 8
      - 4
      - 8
    - - 2
      - 1
      - 2
      - 4
      - 2
      - 4
    - - 4
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      - 1
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      - 4
      - 8
    - - 8
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      - 8
      - 1
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      - 4
    - - 4
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      - 4
      - 2
      - 1
      - 2
    - - 8
      - 4
      - 8
      - 4
      - 2
      - 1
    lmfdb_iso: 1155.f
    trace_hash: 285753962928493369
- - area:
      __RealLiteral__: 0
      data: '0.044818835983055134678296237061'
      prec: 107
    conductor: 1155
    gens: []
    heights: []
    id: 6104
    lmfdb_label: 1155.f2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.22849835182812732335302814878'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.3709901109687639401181688926887488494'
      prec: 130
    tamagawa_product: 96
    torsion_generators:
    - - -252
      - 126
      - 1
    - - 504
      - -252
      - 1
    xcoord_integral_points:
    - -252
    - 504
- - id: 6104
    iwdata:
      '11':
      - 0
      - 0
      '2':
      - 3
      - 1
      '3':
      - 1
      - 0
      '5':
      - 1
      - 0
      '7':
      - 1
      - 0
    iwp0: 5
    lmfdb_label: 1155.f2
- - degree: 2
    field:
    - -5
    - -1
    - 1
    id: 57146
    lmfdb_label: 1155.f2
    torsion:
    - 2
    - 4
  - degree: 2
    field:
    - 1
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    - 1
    id: 57145
    lmfdb_label: 1155.f2
    torsion:
    - 2
    - 4
  - degree: 2
    field:
    - 21
    - 0
    - 1
    id: 57147
    lmfdb_label: 1155.f2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 25
    - 0
    - 11
    - 0
    - 1
    id: 57148
    lmfdb_label: 1155.f2
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - -108561
    - 154404
    - -19695
    - -30174
    - 6544
    - 460
    - -141
    - -2
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    id: 57151
    lmfdb_label: 1155.f2
    torsion:
    - 2
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  - degree: 8
    field:
    - -105
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    - -150
    - 59
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    - -4
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    id: 57153
    lmfdb_label: 1155.f2
    torsion:
    - 2
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  - degree: 8
    field:
    - 441
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    id: 57152
    lmfdb_label: 1155.f2
    torsion:
    - 2
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  - degree: 8
    field:
    - 41530
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    - -2444
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    - -172
    - 62
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    id: 57149
    lmfdb_label: 1155.f2
    torsion:
    - 2
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  - degree: 8
    field:
    - 57330
    - -2940
    - 4214
    - -2604
    - 1443
    - -172
    - 62
    - -4
    - 1
    id: 57150
    lmfdb_label: 1155.f2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 11025
    - 0
    - -17100
    - 0
    - 13800
    - 0
    - -4529
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    - 152
    - 0
    - 241
    - 0
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    id: 57157
    lmfdb_label: 1155.f2
    torsion:
    - 2
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  - degree: 16
    field:
    - 234256
    - 0
    - 120032
    - 0
    - 38272
    - 0
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    - 0
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    id: 57156
    lmfdb_label: 1155.f2
    torsion:
    - 4
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  - degree: 16
    field:
    - 497025
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    id: 57158
    lmfdb_label: 1155.f2
    torsion:
    - 2
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  - degree: 16
    field:
    - 1793918025
    - -789147900
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    - -875380
    - 239426
    - -37180
    - 7956
    - -840
    - 140
    - -8
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    id: 57155
    lmfdb_label: 1155.f2
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 2629677460
    - 5481698920
    - 9444673176
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    - 481647288
    - -311474928
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    - 406
    - -276
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    - 1
    id: 57154
    lmfdb_label: 1155.f2
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 6947055801
    - 0
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    id: 57159
    lmfdb_label: 1155.f2
    torsion:
    - 2
    - 12
- - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 6
    id: 16843
    j_denominator_valuation: 6
    kodaira_symbol: 10
    lmfdb_label: 1155.f2
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 6
  - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 16844
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 1155.f2
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
  - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 16845
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 1155.f2
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 1155
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 16846
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 1155.f2
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 6167
      - 6
      - 9234
      - 9235
    - - 9233
      - 8
      - 9232
      - 9
    - - 1
      - 0
      - 8
      - 1
    - - 1
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      - 0
      - 1
    - - 1
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      - 0
      - 2311
    - - 2521
      - 8
      - 844
      - 33
    - - 5
      - 4
      - 9236
      - 9237
    - - 4625
      - 6932
      - 6952
      - 4629
    - - 3697
      - 8
      - 5548
      - 33
    - - 7
      - 2
      - 6582
      - 9235
    adelic_image: 9240.192.1.?
    conductor: 1155
    id: 1671846
    lmfdb_label: 1155.f2
    prime: 0
  - conductor: 1155
    elladic_image: 4.24.0.6
    id: 5501
    lmfdb_label: 1155.f2
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1155.f2
- 1155.f
- 1155.f2
- 1155.f2
- 1155.f2
- 1155.f2
- 1155.f2
- 1155.f
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-17T20:08:52.715523'