data:
- - Ciso: 80223n
    Clabel: 80223n1
    Cnumber: 1
    abc_quality: 0.8949580184960225
    absD: 38908550134295127
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 3432
    ainvs:
    - 1
    - 0
    - 1
    - 74775
    - 5309599
    analytic_rank: 0
    bad_primes:
    - 3
    - 11
    - 13
    - 17
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 80223
    degree: 460800
    elladic_images:
    - 4.6.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '1.8709980792621496300449536490'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 529026
    iso_nlabel: 14
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 26100282937247
    - 21962862207
    lmfdb_iso: 80223.o
    lmfdb_label: 80223.o4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 0
    - 618
    - -3933
    min_quad_twist_disc: -11
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 24.12.0.ba.1
    - 44.12.0-4.c.1.2
    - 52.12.0-4.c.1.2
    - 264.24.0.?
    - 286.6.0.?
    - 312.24.0.?
    - 572.24.0.?
    - 3432.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    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: '0.67205044286296435801398186002'
      prec: 103
    szpiro_ratio: 4.00974771977342
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 1
    - 1
    - -1
    - 2
    - 1
    - 0
    - -3
    - 1
    - 2
    - 0
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    - -1
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    - 1
    - 1
    - -4
    - -2
    aplist:
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    - -8
    - -10
    - -4
    - 2
    - 8
    - 8
    - 6
    - -12
    - -4
    - 6
    - 2
    class_deg: 4
    class_size: 4
    conductor: 80223
    id: 348257
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 80223.o
    trace_hash: 335121325633275979
- - area:
      __RealLiteral__: 0
      data: '0.023706733470257996319048310113'
      prec: 107
    conductor: 80223
    gens: []
    heights: []
    id: 529026
    lmfdb_label: 80223.o4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.23581914056104877239021521954'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.8298296867325852686825826344482235485'
      prec: 130
    tamagawa_product: 48
    torsion_generators:
    - - -67
      - 33
      - 1
    xcoord_integral_points:
    - -67
- - id: 529026
    iwdata:
      '11': a
      '13':
      - 0
      - 0
      '17':
      - 1
      - 0
      '2':
      - 6
      - 0
      '3':
      - 3
      - 0
    iwp0: 5
    lmfdb_label: 80223.o4
- - degree: 2
    field:
    - -3
    - -1
    - 1
    id: 3777722
    lmfdb_label: 80223.o4
    torsion:
    - 4
  - degree: 2
    field:
    - 3
    - -1
    - 1
    id: 3777723
    lmfdb_label: 80223.o4
    torsion:
    - 4
  - degree: 2
    field:
    - 36
    - -1
    - 1
    id: 3777721
    lmfdb_label: 80223.o4
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - 36
    - 0
    - -1
    - 0
    - 1
    id: 3777724
    lmfdb_label: 80223.o4
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -513
    - -2961
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    - -201
    - 123
    - -188
    - -27
    - 0
    - 1
    id: 3777728
    lmfdb_label: 80223.o4
    torsion:
    - 6
  - degree: 8
    field:
    - 41616
    - 0
    - -15672
    - 0
    - 2065
    - 0
    - -83
    - 0
    - 1
    id: 3777726
    lmfdb_label: 80223.o4
    torsion:
    - 8
  - degree: 8
    field:
    - 558009
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    - -6417
    - 6696
    - 4404
    - 246
    - -41
    - -2
    - 1
    id: 3777727
    lmfdb_label: 80223.o4
    torsion:
    - 8
  - degree: 8
    field:
    - 5687878
    - 2923022
    - 441401
    - 16276
    - 5036
    - 1196
    - 38
    - -2
    - 1
    id: 3777725
    lmfdb_label: 80223.o4
    torsion:
    - 2
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  - degree: 16
    field:
    - -6488829
    - 50768019
    - -63082710
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    - -4884242
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    - -93918
    - 13278
    - -2122
    - -70
    - 30
    - -8
    - 1
    id: 3777733
    lmfdb_label: 80223.o4
    torsion:
    - 12
  - degree: 16
    field:
    - 165807
    - -66582
    - 202716
    - -463386
    - 737151
    - -685804
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    - -129520
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    - -1760
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    - -224
    - 52
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    id: 3777734
    lmfdb_label: 80223.o4
    torsion:
    - 12
  - degree: 16
    field:
    - 15116544
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    - 0
    - 22489120
    - 0
    - -1104672
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    - 39309
    - 0
    - -6437
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    - 426
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    - 0
    - 0
    - 1
    id: 3777732
    lmfdb_label: 80223.o4
    torsion:
    - 2
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  - degree: 16
    field:
    - 514155625
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    - 497278
    - 0
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    - 0
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    id: 3777730
    lmfdb_label: 80223.o4
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 1906304436
    - -3293454168
    - 3341022444
    - -1680811560
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    - -178
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    - 1
    id: 3777731
    lmfdb_label: 80223.o4
    torsion:
    - 2
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  - degree: 16
    field:
    - 26975984333281
    - 0
    - 0
    - 0
    - 80207188546
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    - 0
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    - 0
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    - 0
    - 0
    - 1
    id: 3777729
    lmfdb_label: 80223.o4
    torsion:
    - 4
    - 4
- - conductor: 80223
    conductor_valuation: 1
    discriminant_valuation: 12
    id: 1952399
    j_denominator_valuation: 12
    kodaira_symbol: 16
    lmfdb_label: 80223.o4
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 12
  - conductor: 80223
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 1952400
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 80223.o4
    prime: 11
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 80223
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 1952401
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 80223.o4
    prime: 13
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 80223
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 1952402
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 80223.o4
    prime: 17
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
- - adelic_gens:
    - - 1145
      - 8
      - 1148
      - 33
    - - 1291
      - 1290
      - 442
      - 2155
    - - 3425
      - 8
      - 3424
      - 9
    - - 3116
      - 3431
      - 2473
      - 3426
    - - 1
      - 0
      - 8
      - 1
    - - 433
      - 432
      - 2158
      - 439
    - - 7
      - 6
      - 3426
      - 3427
    - - 268
      - 1
      - 2399
      - 6
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    adelic_image: 3432.48.0.?
    conductor: 80223
    id: 2193111
    lmfdb_label: 80223.o4
    prime: 0
  - conductor: 80223
    elladic_image: 4.6.0.1
    id: 329634
    lmfdb_label: 80223.o4
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 80223.o4
- 80223.o
- 80223.o4
- 80223.o4
- 80223.o4
- 80223.o4
- 80223.o4
- 80223.o
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-22T15:45:20.163750'