data:
- - Ciso: 4560x
    Clabel: 4560x2
    Cnumber: 2
    abc_quality: 0.9634984608386168
    absD: 33269760000
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 456
    ainvs:
    - 0
    - 1
    - 0
    - -816
    - 1620
    analytic_rank: 0
    bad_primes:
    - 2
    - 3
    - 5
    - 19
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 4560
    degree: 3072
    elladic_images:
    - 8.24.0.3
    faltings_height:
      __RealLiteral__: 0
      data: '0.70949113953152658956905352008'
      prec: 103
    faltings_index: 1
    faltings_ratio: 2
    id: 28095
    iso_nlabel: 18
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 14688124849
    - 8122500
    lmfdb_iso: 4560.s
    lmfdb_label: 4560.s2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 1
    - 1
    - -51
    - -51
    min_quad_twist_disc: -4
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0-2.a.1.1
    - 8.24.0-8.b.1.1
    - 228.24.0.?
    - 456.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    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: '0.016343958971581280151821398622'
      prec: 107
    szpiro_ratio: 3.765908363663833
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - 1
    - 0
    - -1
    - 0
    - 0
    - 0
    - 1
    - 0
    - -4
    - 0
    - 2
    - 0
    - -1
    - 0
    - 2
    - 0
    - 1
    - 0
    aplist:
    - 0
    - 1
    - -1
    - 0
    - -4
    - 2
    - 2
    - 1
    - -4
    - 6
    - -4
    - -6
    - 10
    - 4
    - 12
    - 6
    - 12
    - -2
    - -4
    - -8
    - -6
    - 4
    - 12
    - 10
    - 2
    class_deg: 4
    class_size: 4
    conductor: 4560
    id: 15542
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 4560.s
    trace_hash: 782912210750216713
- - area:
      __RealLiteral__: 0
      data: '0.24196013953362265034589838345'
      prec: 103
    conductor: 4560
    gens: []
    heights: []
    id: 28095
    lmfdb_label: 4560.s2
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '1.0118984954368994955169553568'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.0237969908737989910339107136608114039'
      prec: 130
    tamagawa_product: 32
    torsion_generators:
    - - 2
      - 0
      - 1
    - - 27
      - 0
      - 1
    xcoord_integral_points:
    - -30
    - 2
    - 27
- - id: 28095
    iwdata:
      '19':
      - 1
      - 0
      '2': a
      '3':
      - 1
      - 0
      '5':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 4560.s2
- - degree: 2
    field:
    - -14
    - -1
    - 1
    id: 238149
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 1
    - 0
    - 0
    - 0
    - 1
    id: 238150
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 841
    - 0
    - -56
    - 0
    - 1
    id: 238151
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -1884
    - 3252
    - 6840
    - 2502
    - -401
    - -212
    - 0
    - -2
    - 1
    id: 238153
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - -48
    - 0
    - 164
    - 0
    - -24
    - 0
    - 0
    - 0
    - 1
    id: 238154
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 6
  - degree: 8
    field:
    - 38416
    - 0
    - 0
    - 0
    - 449
    - 0
    - 0
    - 0
    - 1
    id: 238152
    lmfdb_label: 4560.s2
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 16
    - 0
    - 224
    - 0
    - 928
    - 0
    - 616
    - 0
    - 1073
    - 0
    - -308
    - 0
    - 232
    - 0
    - -28
    - 0
    - 1
    id: 238155
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 207936
    - 0
    - 415872
    - 0
    - 253536
    - 0
    - 89376
    - 0
    - 16180
    - 0
    - 1136
    - 0
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    - 0
    - 32
    - 0
    - 1
    id: 238156
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 16522596
    - -36554328
    - 23944329
    - -7695918
    - 4060059
    - -2538684
    - 1149849
    - -457482
    - 136719
    - -31968
    - 5779
    - 318
    - -687
    - 244
    - -21
    - -6
    - 1
    id: 238157
    lmfdb_label: 4560.s2
    torsion:
    - 2
    - 12
- - conductor: 4560
    conductor_valuation: 4
    discriminant_valuation: 14
    id: 87100
    j_denominator_valuation: 2
    kodaira_symbol: -10
    lmfdb_label: 4560.s2
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 4560
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 87101
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 4560.s2
    prime: 3
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 4560
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 87102
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 4560.s2
    prime: 5
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 4560
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 87103
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 4560.s2
    prime: 19
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
- - adelic_gens:
    - - 1
      - 0
      - 4
      - 1
    - - 97
      - 2
      - 0
      - 1
    - - 339
      - 452
      - 226
      - 453
    - - 1
      - 4
      - 0
      - 1
    - - 305
      - 2
      - 0
      - 1
    - - 453
      - 4
      - 452
      - 5
    - - 229
      - 4
      - 2
      - 9
    adelic_image: 456.48.0.?
    conductor: 4560
    id: 1693699
    lmfdb_label: 4560.s2
    prime: 0
  - conductor: 4560
    elladic_image: 8.24.0.3
    id: 22690
    lmfdb_label: 4560.s2
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 4560.s2
- 4560.s
- 4560.s2
- 4560.s2
- 4560.s2
- 4560.s2
- 4560.s2
- 4560.s
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-11T21:55:41.141159'