data:
- - Ciso: 17424bw
    Clabel: 17424bw3
    Cnumber: 3
    abc_quality: 1.0091329432672695
    absD: 2091115841214394368
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 264
    ainvs:
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    - 0
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    - -1568527598
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 11
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 17424
    degree: 368640
    elladic_images:
    - 8.12.0.14
    faltings_height:
      __RealLiteral__: 0
      data: '2.4287688941764968289033804087'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 114844
    iso_nlabel: 50
    isogeny_degrees:
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    - 2
    - 4
    jinv:
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    - 395307
    lmfdb_iso: 17424.by
    lmfdb_label: 17424.by1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
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    min_quad_twist_disc: -132
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.6.0.c.1
    - 8.12.0-4.c.1.1
    - 12.12.0.h.1
    - 24.24.0-12.h.1.4
    - 44.12.0-4.c.1.2
    - 88.24.0.?
    - 132.24.0.?
    - 264.48.0.?
    nonmax_primes:
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    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 4
    sha_primes:
    - 2
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.012632067116688598242446120201'
      prec: 110
    szpiro_ratio: 5.721296740094618
    torsion: 2
    torsion_primes:
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    torsion_structure:
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- - anlist:
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    aplist:
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    class_deg: 4
    class_size: 4
    conductor: 17424
    id: 69905
    isogeny_matrix:
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      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
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    - - 4
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    lmfdb_iso: 17424.by
    trace_hash: 392996262429461515
- - area:
      __RealLiteral__: 0
      data: '0.0077695907357381299048037570083'
      prec: 110
    conductor: 17424
    gens: []
    heights: []
    id: 114844
    lmfdb_label: 17424.by1
    ngens: 0
    rank_bounds:
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    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.11944483533136993858162009873'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '4.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.8222347306038380346118431592244965388'
      prec: 130
    tamagawa_product: 32
    torsion_generators:
    - - -946
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    xcoord_integral_points:
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- - id: 114844
    iwdata:
      '11': a
      '2': a
      '3': a
    iwp0: 3
    lmfdb_label: 17424.by1
- - degree: 2
    field:
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    id: 890717
    lmfdb_label: 17424.by1
    torsion:
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    - 2
  - degree: 2
    field:
    - 3
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    id: 890719
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 2
    field:
    - 33
    - 0
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    id: 890718
    lmfdb_label: 17424.by1
    torsion:
    - 4
  - degree: 4
    field:
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    - 0
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    - 1
    id: 890720
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 8
    field:
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    - 0
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    id: 890724
    lmfdb_label: 17424.by1
    torsion:
    - 6
  - degree: 8
    field:
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    - -110
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    - 0
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    id: 890721
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 8
    field:
    - 253
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    - -2
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    id: 890722
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 8
    field:
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    id: 890723
    lmfdb_label: 17424.by1
    torsion:
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    field:
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    id: 890727
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 16
    field:
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    id: 890729
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 16
    field:
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    id: 890726
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 16
    field:
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    id: 890725
    lmfdb_label: 17424.by1
    torsion:
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  - degree: 16
    field:
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    id: 890728
    lmfdb_label: 17424.by1
    torsion:
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- - conductor: 17424
    conductor_valuation: 4
    discriminant_valuation: 12
    id: 388820
    j_denominator_valuation: 0
    kodaira_symbol: -8
    lmfdb_label: 17424.by1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 17424
    conductor_valuation: 2
    discriminant_valuation: 9
    id: 388821
    j_denominator_valuation: 3
    kodaira_symbol: -7
    lmfdb_label: 17424.by1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 17424
    conductor_valuation: 2
    discriminant_valuation: 10
    id: 388822
    j_denominator_valuation: 4
    kodaira_symbol: -8
    lmfdb_label: 17424.by1
    prime: 11
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 80
      - 261
      - 83
      - 262
    - - 235
      - 234
      - 178
      - 43
    - - 1
      - 0
      - 8
      - 1
    - - 1
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    - - 1
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      - 0
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      - 212
      - 231
    adelic_image: 264.48.0.?
    conductor: 17424
    id: 1779969
    lmfdb_label: 17424.by1
    prime: 0
  - conductor: 17424
    elladic_image: 8.12.0.14
    id: 81502
    lmfdb_label: 17424.by1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 17424.by1
- 17424.by
- 17424.by1
- 17424.by1
- 17424.by1
- 17424.by1
- 17424.by1
- 17424.by
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-16T00:53:30.283226'