data:
- - Ciso: 55a
    Clabel: 55a1
    Cnumber: 1
    abc_quality: 1.0555982735754514
    absD: 3025
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 220
    ainvs:
    - 1
    - -1
    - 0
    - -4
    - 3
    analytic_rank: 0
    bad_primes:
    - 5
    - 11
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 55
    degree: 2
    elladic_images:
    - 4.12.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '-0.63223907025473155537160347037'
      prec: 107
    faltings_index: 1
    faltings_ratio: 2
    id: 141
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 8120601
    - 3025
    lmfdb_iso: 55.a
    lmfdb_label: 55.a3
    lmfdb_number: 3
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - -1
    - 0
    - -4
    - 3
    min_quad_twist_disc: 1
    modell_images:
    - 2Cs
    modm_images:
    - 2.6.0.a.1
    - 4.12.0-2.a.1.1
    - 20.24.0-20.b.1.2
    - 44.24.0-44.a.1.1
    - 220.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 2
    optimality: 1
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: true
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.63223907025473155537160347037'
      prec: 107
    szpiro_ratio: 3.9702001278075087
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 2
    - 2
- - anlist:
    - 0
    - 1
    - 1
    - 0
    - -1
    - 1
    - 0
    - 0
    - -3
    - -3
    - 1
    - -1
    - 0
    - 2
    - 0
    - 0
    - -1
    - 6
    - -3
    - -4
    - -1
    aplist:
    - 1
    - 0
    - 1
    - 0
    - -1
    - 2
    - 6
    - -4
    - 4
    - 6
    - -8
    - -2
    - 2
    - 4
    - -12
    - -2
    - 4
    - -10
    - -16
    - 8
    - 14
    - 8
    - -4
    - 10
    - 10
    class_deg: 4
    class_size: 4
    conductor: 55
    id: 37
    isogeny_matrix:
    - - 1
      - 4
      - 2
      - 4
    - - 4
      - 1
      - 2
      - 4
    - - 2
      - 2
      - 1
      - 2
    - - 4
      - 4
      - 2
      - 1
    lmfdb_iso: 55.a
    trace_hash: 467045135390574132
- - area:
      __RealLiteral__: 0
      data: '3.5412442219130809586031872287'
      prec: 100
    conductor: 55
    gens: []
    heights: []
    id: 141
    lmfdb_label: 55.a3
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '4.1146794247127563394669761001'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.0286698561781890848667440250290006511'
      prec: 130
    tamagawa_product: 4
    torsion_generators:
    - - -2
      - 1
      - 1
    - - 2
      - -1
      - 1
    xcoord_integral_points:
    - -2
    - 2
- - id: 141
    iwdata:
      '11':
      - 0
      - 0
      '2':
      - 0
      - 0
      '5':
      - 1
      - 0
    iwp0: 3
    lmfdb_label: 55.a3
- - degree: 2
    field:
    - -1
    - -1
    - 1
    id: 1896
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 9
    - 0
    - -5
    - 0
    - 1
    id: 1897
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 16
    - 0
    - -3
    - 0
    - 1
    id: 1898
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - -3
    - 0
    - 3
    - 0
    - -6
    - 0
    - 0
    - 0
    - 1
    id: 1901
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 6
  - degree: 8
    field:
    - 1
    - 0
    - -4
    - 0
    - 1
    - 0
    - -4
    - 0
    - 1
    id: 1900
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 20
    - -100
    - 186
    - -190
    - 141
    - -58
    - 24
    - -4
    - 1
    id: 1899
    lmfdb_label: 55.a3
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 9
    - 0
    - -27
    - 0
    - 135
    - 0
    - -54
    - 0
    - -105
    - 0
    - 54
    - 0
    - -42
    - 0
    - 0
    - 0
    - 1
    id: 1904
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 121
    - 0
    - 484
    - 0
    - 374
    - 0
    - 308
    - 0
    - 355
    - 0
    - 212
    - 0
    - 74
    - 0
    - 16
    - 0
    - 1
    id: 1902
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 38416
    - 0
    - -74480
    - 0
    - 67601
    - 0
    - 11060
    - 0
    - -7309
    - 0
    - -200
    - 0
    - 371
    - 0
    - 20
    - 0
    - 1
    id: 1903
    lmfdb_label: 55.a3
    torsion:
    - 2
    - 8
- - conductor: 55
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 268
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 55.a3
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 55
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 269
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 55.a3
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 101
      - 2
      - 0
      - 1
    - - 217
      - 4
      - 216
      - 5
    - - 91
      - 2
      - 86
      - 219
    - - 113
      - 4
      - 8
      - 11
    - - 1
      - 4
      - 0
      - 1
    - - 1
      - 0
      - 4
      - 1
    adelic_image: 220.48.0.?
    conductor: 55
    id: 1666015
    lmfdb_label: 55.a3
    prime: 0
  - conductor: 55
    elladic_image: 4.12.0.1
    id: 168
    lmfdb_label: 55.a3
    modell_image: 2Cs
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 55.a3
- 55.a
- 55.a3
- 55.a3
- 55.a3
- 55.a3
- 55.a3
- 55.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T19:02:03.879892'