data:
- - Ciso: 55440eu
    Clabel: 55440eu4
    Cnumber: 4
    abc_quality: 0.9830640731165118
    absD: 510136791369891840
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 9240
    ainvs:
    - 0
    - 0
    - 0
    - -3750267
    - 2795172266
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    - 11
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 55440
    degree: 983040
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '2.4390799453607131434994159870'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 368052
    iso_nlabel: 120
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 1953542217204454969
    - 170843779260
    lmfdb_iso: 55440.eq
    lmfdb_label: 55440.eq1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 1
    - -26044
    - 1615406
    min_quad_twist_disc: 12
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 60.24.0-60.h.1.3
    - 1848.24.0.?
    - 3080.24.0.?
    - 9240.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 5
    num_int_pts: 3
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '1.1966266204667129883845612471'
      prec: 100
    szpiro_ratio: 5.220664666533742
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - -2
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    - 0
    - 0
    - 2
    - 0
    - -4
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    aplist:
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    - 0
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    - 1
    - -2
    - 2
    - -4
    - -4
    - 6
    - 4
    - -2
    - -10
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    - -8
    - 6
    - -4
    - -2
    - 12
    - -8
    - 2
    - -4
    - 0
    - 10
    - -2
    class_deg: 4
    class_size: 4
    conductor: 55440
    id: 238287
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 55440.eq
    trace_hash: 284835458245644175
- - area:
      __RealLiteral__: 0
      data: '0.0076110062332247499598110748595'
      prec: 110
    conductor: 55440
    gens: []
    heights: []
    id: 368052
    lmfdb_label: 55440.eq1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.28061816630439933985766713552'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.2449453304351947188613370841470102458'
      prec: 130
    tamagawa_product: 128
    torsion_generators:
    - - 895
      - 12474
      - 1
    xcoord_integral_points:
    - 895
    - 1126
- - id: 368052
    iwdata:
      '11':
      - 1
      - 0
      '2': a
      '3': a
      '5':
      - 1
      - 0
      '7':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 55440.eq1
- - degree: 2
    field:
    - -15
    - 0
    - 1
    id: 2678614
    lmfdb_label: 55440.eq1
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 1500
    - 0
    - 48
    - 0
    - 1
    id: 2678615
    lmfdb_label: 55440.eq1
    torsion:
    - 8
  - degree: 8
    field:
    - -19683
    - 0
    - 9528
    - 0
    - -486
    - 0
    - 0
    - 0
    - 1
    id: 2678619
    lmfdb_label: 55440.eq1
    torsion:
    - 12
  - degree: 8
    field:
    - 1
    - 0
    - -11
    - 0
    - 36
    - 0
    - -11
    - 0
    - 1
    id: 2678616
    lmfdb_label: 55440.eq1
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 81225
    - 0
    - -46800
    - 0
    - 5830
    - 0
    - -160
    - 0
    - 1
    id: 2678617
    lmfdb_label: 55440.eq1
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 4384836
    - 0
    - 165420
    - 0
    - 237
    - 0
    - -60
    - 0
    - 1
    id: 2678618
    lmfdb_label: 55440.eq1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 63504
    - 0
    - 213408
    - 0
    - 49500
    - 0
    - -228879
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    - 0
    - -3111
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    id: 2678621
    lmfdb_label: 55440.eq1
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 2185666560000
    - 0
    - -327849984000
    - 0
    - 31693939200
    - 0
    - -479001600
    - 0
    - 77606400
    - 0
    - -3021120
    - 0
    - 47682
    - 0
    - -324
    - 0
    - 1
    id: 2678620
    lmfdb_label: 55440.eq1
    torsion:
    - 16
- - conductor: 55440
    conductor_valuation: 4
    discriminant_valuation: 14
    id: 1332657
    j_denominator_valuation: 2
    kodaira_symbol: -10
    lmfdb_label: 55440.eq1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 55440
    conductor_valuation: 2
    discriminant_valuation: 11
    id: 1332658
    j_denominator_valuation: 5
    kodaira_symbol: -9
    lmfdb_label: 55440.eq1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 55440
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 1332659
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 55440.eq1
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
  - conductor: 55440
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 1332660
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 55440.eq1
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
  - conductor: 55440
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 1332661
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 55440.eq1
    prime: 11
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 3076
      - 9239
      - 6137
      - 9234
    - - 9233
      - 8
      - 9232
      - 9
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 5779
      - 5778
      - 8098
      - 3475
    - - 1
      - 4
      - 4
      - 17
    - - 1152
      - 5767
      - 1127
      - 1080
    - - 2521
      - 8
      - 844
      - 33
    - - 1856
      - 3
      - 5
      - 2
    - - 7
      - 6
      - 9234
      - 9235
    - - 5281
      - 8
      - 2644
      - 33
    adelic_image: 9240.48.0.?
    conductor: 55440
    id: 2032368
    lmfdb_label: 55440.eq1
    prime: 0
  - conductor: 55440
    elladic_image: 4.12.0.7
    id: 236097
    lmfdb_label: 55440.eq1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 55440.eq1
- 55440.eq
- 55440.eq1
- 55440.eq1
- 55440.eq1
- 55440.eq1
- 55440.eq1
- 55440.eq
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-15T21:54:54.768767'