data:
- - Ciso: 2240f
    Clabel: 2240f3
    Cnumber: 3
    abc_quality: 1.0195919976571242
    absD: 31470387200
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 56
    ainvs:
    - 0
    - 0
    - 0
    - -17132
    - -863056
    analytic_rank: 0
    bad_primes:
    - 2
    - 5
    - 7
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 2240
    degree: 3072
    elladic_images:
    - 8.24.0.58
    faltings_height:
      __RealLiteral__: 0
      data: '1.0787084424545542105235541665'
      prec: 100
    faltings_index: 2
    faltings_ratio: 4
    id: 12804
    iso_nlabel: 13
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 2121328796049
    - 120050
    lmfdb_iso: 2240.n
    lmfdb_label: 2240.n1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - -1
    - 1
    - -268
    - -1619
    min_quad_twist_disc: 8
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.2
    - 8.24.0-8.k.1.1
    - 56.48.0-56.v.1.1
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.038987671614636246397705984314'
      prec: 107
    szpiro_ratio: 5.29666693695225
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - 0
    - 0
    - 0
    - 1
    - 0
    - -1
    - 0
    - -3
    - 0
    - -4
    - 0
    - 6
    - 0
    - 0
    - 0
    - 2
    - 0
    - 0
    - 0
    aplist:
    - 0
    - 0
    - 1
    - -1
    - -4
    - 6
    - 2
    - 0
    - 0
    - -6
    - 8
    - 10
    - 2
    - -4
    - 8
    - 2
    - 8
    - 14
    - 12
    - -16
    - 2
    - -8
    - -8
    - 10
    - 2
    class_deg: 4
    class_size: 4
    conductor: 2240
    id: 6687
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 2240.n
    trace_hash: 1244793531549715028
- - area:
      __RealLiteral__: 0
      data: '0.11562340418256337127137475355'
      prec: 103
    conductor: 2240
    gens: []
    heights: []
    id: 12804
    lmfdb_label: 2240.n1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '0.41730060365743992991089846198'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.6692024146297597196435938479149493203'
      prec: 130
    tamagawa_product: 16
    torsion_generators:
    - - -76
      - 0
      - 1
    xcoord_integral_points:
    - -76
- - id: 12804
    iwdata:
      '2': a
      '5':
      - 1
      - 0
      '7':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 2240.n1
- - degree: 2
    field:
    - -2
    - 0
    - 1
    id: 113685
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 2
  - degree: 2
    field:
    - 1
    - 0
    - 1
    id: 113687
    lmfdb_label: 2240.n1
    torsion:
    - 4
  - degree: 2
    field:
    - 2
    - 0
    - 1
    id: 113686
    lmfdb_label: 2240.n1
    torsion:
    - 4
  - degree: 4
    field:
    - -50
    - 0
    - 0
    - 0
    - 1
    id: 113688
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 1
    - 0
    - 0
    - 0
    - 1
    id: 113689
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -768
    - 0
    - -288
    - 0
    - -96
    - 0
    - 0
    - 0
    - 1
    id: 113693
    lmfdb_label: 2240.n1
    torsion:
    - 6
  - degree: 8
    field:
    - 44
    - -32
    - 78
    - -40
    - 6
    - -8
    - 3
    - -2
    - 1
    id: 113691
    lmfdb_label: 2240.n1
    torsion:
    - 8
  - degree: 8
    field:
    - 81
    - 0
    - -36
    - 0
    - 8
    - 0
    - -4
    - 0
    - 1
    id: 113692
    lmfdb_label: 2240.n1
    torsion:
    - 8
  - degree: 8
    field:
    - 625
    - 0
    - -500
    - 0
    - 200
    - 0
    - -20
    - 0
    - 1
    id: 113690
    lmfdb_label: 2240.n1
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 16
    - 0
    - -32
    - 0
    - 32
    - 0
    - -88
    - 0
    - 161
    - 0
    - -44
    - 0
    - 8
    - 0
    - -4
    - 0
    - 1
    id: 113695
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 196
    - 392
    - 392
    - 532
    - 589
    - 496
    - 536
    - 164
    - -529
    - -184
    - 152
    - -116
    - 103
    - -32
    - 8
    - -4
    - 1
    id: 113696
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 2304
    - 0
    - 0
    - 0
    - -1008
    - 0
    - 0
    - 0
    - 480
    - 0
    - 0
    - 0
    - 48
    - 0
    - 0
    - 0
    - 1
    id: 113699
    lmfdb_label: 2240.n1
    torsion:
    - 12
  - degree: 16
    field:
    - 40000
    - 0
    - 0
    - 0
    - -80000
    - 0
    - 0
    - 0
    - -1650
    - 0
    - 0
    - 0
    - -400
    - 0
    - 0
    - 0
    - 1
    id: 113694
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 60025
    - 0
    - -60368
    - 0
    - 28420
    - 0
    - -5876
    - 0
    - -38
    - 0
    - 400
    - 0
    - -80
    - 0
    - 4
    - 0
    - 1
    id: 113698
    lmfdb_label: 2240.n1
    torsion:
    - 12
  - degree: 16
    field:
    - 129600
    - 0
    - -106272
    - 0
    - 42336
    - 0
    - -13392
    - 0
    - 3348
    - 0
    - -666
    - 0
    - 96
    - 0
    - -12
    - 0
    - 1
    id: 113697
    lmfdb_label: 2240.n1
    torsion:
    - 2
    - 6
- - conductor: 2240
    conductor_valuation: 6
    discriminant_valuation: 19
    id: 37537
    j_denominator_valuation: 1
    kodaira_symbol: -13
    lmfdb_label: 2240.n1
    prime: 2
    reduction_type: 0
    root_number: 1
    tamagawa_number: 4
  - conductor: 2240
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 37538
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 2240.n1
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 2240
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 37539
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 2240.n1
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 17
      - 8
      - 12
      - 33
    - - 49
      - 8
      - 48
      - 9
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 7
      - 6
      - 50
      - 51
    - - 43
      - 36
      - 26
      - 13
    - - 32
      - 55
      - 29
      - 42
    - - 1
      - 8
      - 0
      - 1
    adelic_image: 56.48.0.?
    conductor: 2240
    id: 1678523
    lmfdb_label: 2240.n1
    prime: 0
  - conductor: 2240
    elladic_image: 8.24.0.58
    id: 11019
    lmfdb_label: 2240.n1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 2240.n1
- 2240.n
- 2240.n1
- 2240.n1
- 2240.n1
- 2240.n1
- 2240.n1
- 2240.n
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-18T09:44:40.460397'