data:
- - Ciso: 33a
    Clabel: 33a3
    Cnumber: 3
    abc_quality: 1.0091329432672695
    absD: 395307
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 264
    ainvs:
    - 1
    - 1
    - 0
    - -146
    - 621
    analytic_rank: 0
    bad_primes:
    - 3
    - 11
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 33
    degree: 6
    elladic_images:
    - 4.12.0.7
    faltings_height:
      __RealLiteral__: 0
      data: '-0.012632067116688598242446120205'
      prec: 110
    faltings_index: 3
    faltings_ratio: 4
    id: 63
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    - 2
    - 4
    jinv:
    - 347873904937
    - 395307
    lmfdb_iso: 33.a
    lmfdb_label: 33.a1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 1
    - 0
    - -146
    - 621
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 12.24.0-12.h.1.2
    - 88.24.0.?
    - 264.48.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 2
    num_int_pts: 2
    optimality: 0
    potential_good_reduction: false
    rank: 0
    regulator: 1
    semistable: true
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.012632067116688598242446120205'
      prec: 110
    szpiro_ratio: 7.600471453800636
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - 1
    - -1
    - -1
    - -2
    - -1
    - 4
    - -3
    - 1
    - -2
    - 1
    - 1
    - -2
    - 4
    - 2
    - -1
    - -2
    - 1
    - 0
    - 2
    aplist:
    - 1
    - -1
    - -2
    - 4
    - 1
    - -2
    - -2
    - 0
    - 8
    - -6
    - -8
    - 6
    - -2
    - 0
    - 8
    - 6
    - -4
    - 6
    - -4
    - 0
    - -14
    - -4
    - 12
    - -6
    - 2
    class_deg: 4
    class_size: 4
    conductor: 33
    id: 13
    isogeny_matrix:
    - - 1
      - 2
      - 4
      - 4
    - - 2
      - 1
      - 2
      - 2
    - - 4
      - 2
      - 1
      - 4
    - - 4
      - 2
      - 4
      - 1
    lmfdb_iso: 33.a
    trace_hash: 2215180138185436427
- - area:
      __RealLiteral__: 0
      data: '1.0255859771174331474340959251'
      prec: 100
    conductor: 33
    gens: []
    heights: []
    id: 63
    lmfdb_label: 33.a1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '2.9893565909709744778226018631'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '0.74733914774274361945565046577174532389'
      prec: 133
    tamagawa_product: 4
    torsion_generators:
    - - 4
      - 9
      - 1
    xcoord_integral_points:
    - 4
- - id: 63
    iwdata:
      '11':
      - 1
      - 0
      '2':
      - 0
      - 0
      '3':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 33.a1
- - degree: 2
    field:
    - -3
    - 0
    - 1
    id: 909
    lmfdb_label: 33.a1
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 3
    - 0
    - 1
    - 0
    - 1
    id: 910
    lmfdb_label: 33.a1
    torsion:
    - 8
  - degree: 8
    field:
    - -1
    - 1
    - 2
    - -7
    - 7
    - -7
    - 7
    - -4
    - 1
    id: 914
    lmfdb_label: 33.a1
    torsion:
    - 12
  - degree: 8
    field:
    - 9
    - 0
    - 0
    - 0
    - 3
    - 0
    - 0
    - 0
    - 1
    id: 911
    lmfdb_label: 33.a1
    torsion:
    - 4
    - 4
  - degree: 8
    field:
    - 36
    - 0
    - -252
    - 0
    - 165
    - 0
    - -24
    - 0
    - 1
    id: 913
    lmfdb_label: 33.a1
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 253
    - -242
    - 146
    - -2
    - -5
    - 2
    - 8
    - -4
    - 1
    id: 912
    lmfdb_label: 33.a1
    torsion:
    - 2
    - 8
  - degree: 16
    field:
    - 9
    - 0
    - -99
    - 0
    - 180
    - 0
    - -162
    - 0
    - 120
    - 0
    - -72
    - 0
    - 25
    - 0
    - -5
    - 0
    - 1
    id: 916
    lmfdb_label: 33.a1
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 1296
    - 0
    - 432
    - 0
    - -1008
    - 0
    - -180
    - 0
    - 603
    - 0
    - -168
    - 0
    - 104
    - 0
    - 20
    - 0
    - 1
    id: 915
    lmfdb_label: 33.a1
    torsion:
    - 16
- - conductor: 33
    conductor_valuation: 1
    discriminant_valuation: 3
    id: 116
    j_denominator_valuation: 3
    kodaira_symbol: 7
    lmfdb_label: 33.a1
    prime: 3
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 33
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 117
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 33.a1
    prime: 11
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 235
      - 234
      - 178
      - 43
    - - 232
      - 107
      - 235
      - 0
    - - 1
      - 0
      - 8
      - 1
    - - 1
      - 8
      - 0
      - 1
    - - 1
      - 4
      - 4
      - 17
    - - 7
      - 6
      - 258
      - 259
    - - 257
      - 8
      - 256
      - 9
    - - 184
      - 3
      - 181
      - 2
    - - 145
      - 8
      - 52
      - 33
    adelic_image: 264.48.0.?
    conductor: 33
    id: 1665941
    lmfdb_label: 33.a1
    prime: 0
  - conductor: 33
    elladic_image: 4.12.0.7
    id: 71
    lmfdb_label: 33.a1
    modell_image: 2B
    prime: 2
- []
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 33.a1
- 33.a
- 33.a1
- 33.a1
- 33.a1
- 33.a1
- 33.a1
- 33.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-19T17:38:26.399028'