data:
- - Ciso: 4560u
    Clabel: 4560u1
    Cnumber: 1
    abc_quality: 0.8779856933033099
    absD: 504299520
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 2280
    ainvs:
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    - 0
    - -160
    - -1280
    analytic_rank: 0
    bad_primes:
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    - 3
    - 5
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 4560
    degree: 2304
    elladic_images:
    - 4.12.0.8
    faltings_height:
      __RealLiteral__: 0
      data: '0.36451530780700678110066664938'
      prec: 103
    faltings_index: 0
    faltings_ratio: 1
    id: 28086
    iso_nlabel: 10
    isogeny_degrees:
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    - 2
    - 4
    jinv:
    - -111284641
    - 123120
    lmfdb_iso: 4560.k
    lmfdb_label: 4560.k4
    lmfdb_number: 4
    manin_constant: 1
    min_quad_twist_ainvs:
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    - 0
    - 0
    - -10
    - 20
    min_quad_twist_disc: -4
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.2
    - 24.24.0-24.y.1.12
    - 190.6.0.?
    - 380.24.0.?
    - 2280.48.0.?
    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: '-0.32863187275293852831656547208'
      prec: 107
    szpiro_ratio: 3.313219375715181
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
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- - anlist:
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    aplist:
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    - 0
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    - 8
    - 2
    - 12
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    - 6
    - 18
    class_deg: 4
    class_size: 4
    conductor: 4560
    id: 15539
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 4560.k
    trace_hash: 1162779962427262450
- - area:
      __RealLiteral__: 0
      data: '0.48237637164025071293221075912'
      prec: 103
    conductor: 4560
    gens: []
    heights: []
    id: 28086
    lmfdb_label: 4560.k4
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.64295475827020151422413311712'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.2859095165404030284482662342299814852'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - 16
      - 0
      - 1
    xcoord_integral_points:
    - 16
- - id: 28086
    iwdata:
      '19':
      - 1
      - 0
      '2': a
      '3':
      - 0
      - 0
      '5':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 4560.k4
- - degree: 2
    field:
    - -95
    - 0
    - 1
    id: 238060
    lmfdb_label: 4560.k4
    torsion:
    - 4
  - degree: 2
    field:
    - 1
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    id: 238061
    lmfdb_label: 4560.k4
    torsion:
    - 4
  - degree: 2
    field:
    - 24
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    id: 238059
    lmfdb_label: 4560.k4
    torsion:
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    - 2
  - degree: 4
    field:
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    - 0
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    - 1
    id: 238062
    lmfdb_label: 4560.k4
    torsion:
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  - degree: 4
    field:
    - 576
    - 0
    - -47
    - 0
    - 1
    id: 238063
    lmfdb_label: 4560.k4
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -3
    - 0
    - 1528
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    - -6
    - 0
    - 0
    - 0
    - 1
    id: 238067
    lmfdb_label: 4560.k4
    torsion:
    - 6
  - degree: 8
    field:
    - 36
    - 0
    - 12
    - 0
    - -11
    - 0
    - 2
    - 0
    - 1
    id: 238066
    lmfdb_label: 4560.k4
    torsion:
    - 8
  - degree: 8
    field:
    - 576
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    - 2
    - 90
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    - -4
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    id: 238064
    lmfdb_label: 4560.k4
    torsion:
    - 4
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  - degree: 8
    field:
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    - -29448
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    - -220
    - 78
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    - 1
    id: 238065
    lmfdb_label: 4560.k4
    torsion:
    - 8
  - degree: 16
    field:
    - 36
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    - 1
    - 0
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    id: 238073
    lmfdb_label: 4560.k4
    torsion:
    - 12
  - degree: 16
    field:
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    - 32
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    id: 238070
    lmfdb_label: 4560.k4
    torsion:
    - 2
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  - degree: 16
    field:
    - 8456
    - -472888
    - 4859004
    - -13629480
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    - -70
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    - 1
    id: 238072
    lmfdb_label: 4560.k4
    torsion:
    - 12
  - degree: 16
    field:
    - 11664
    - 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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    - 0
    - 1
    id: 238071
    lmfdb_label: 4560.k4
    torsion:
    - 2
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  - degree: 16
    field:
    - 54720
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    id: 238068
    lmfdb_label: 4560.k4
    torsion:
    - 2
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  - degree: 16
    field:
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    - 9170820
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    - -2117340
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    - -18900
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    - -460
    - 150
    - -4
    - 1
    id: 238069
    lmfdb_label: 4560.k4
    torsion:
    - 2
    - 8
- - conductor: 4560
    conductor_valuation: 4
    discriminant_valuation: 16
    id: 87064
    j_denominator_valuation: 4
    kodaira_symbol: -12
    lmfdb_label: 4560.k4
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 4560
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 87065
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 4560.k4
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 4560
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 87066
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 4560.k4
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
  - conductor: 4560
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 87067
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 4560.k4
    prime: 19
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 2003
      - 1998
      - 290
      - 1427
    - - 761
      - 8
      - 764
      - 33
    - - 1991
      - 1992
      - 842
      - 1985
    - - 7
      - 6
      - 2274
      - 2275
    - - 2273
      - 8
      - 2272
      - 9
    - - 844
      - 1
      - 863
      - 6
    - - 1828
      - 1
      - 1391
      - 6
    adelic_image: 2280.48.0.?
    conductor: 4560
    id: 1693671
    lmfdb_label: 4560.k4
    prime: 0
  - conductor: 4560
    elladic_image: 4.12.0.8
    id: 22654
    lmfdb_label: 4560.k4
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 4560.k4
- 4560.k
- 4560.k4
- 4560.k4
- 4560.k4
- 4560.k4
- 4560.k4
- 4560.k
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-19T19:43:31.839237'