data:
- - Ciso: 63a
    Clabel: 63a5
    Cnumber: 5
    abc_quality: 1.0508747826837916
    absD: 107163
    adelic_genus: 1
    adelic_index: 192
    adelic_level: 336
    ainvs:
    - 1
    - -1
    - 0
    - -7056
    - 229905
    analytic_rank: 0
    bad_primes:
    - 3
    - 7
    class_deg: 8
    class_size: 6
    cm: 0
    conductor: 63
    degree: 32
    elladic_images:
    - 16.48.0.38
    faltings_height:
      __RealLiteral__: 0
      data: '0.62351152772499461645588847313'
      prec: 103
    faltings_index: 4
    faltings_ratio: 8
    id: 170
    iso_nlabel: 0
    isogeny_degrees:
    - 1
    - 2
    - 4
    - 8
    jinv:
    - 53297461115137
    - 147
    lmfdb_iso: 63.a
    lmfdb_label: 63.a1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 0
    - -784
    - -8515
    min_quad_twist_disc: -3
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 4.12.0-4.c.1.1
    - 8.24.0-8.n.1.12
    - 12.24.0-12.h.1.2
    - 16.48.0-16.e.2.10
    - 24.48.0-24.bl.1.9
    - 48.96.0-48.y.1.10
    - 56.48.0-56.bu.1.14
    - 112.96.0.?
    - 168.96.0.?
    - 336.192.1.?
    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: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.074205383390939770758265854669'
      prec: 107
    szpiro_ratio: 9.219730003175934
    torsion: 4
    torsion_primes:
    - 2
    torsion_structure:
    - 4
- - anlist:
    - 0
    - 1
    - 1
    - 0
    - -1
    - 2
    - 0
    - -1
    - -3
    - 0
    - 2
    - -4
    - 0
    - -2
    - -1
    - 0
    - -1
    - 6
    - 0
    - 4
    - -2
    aplist:
    - 1
    - 0
    - 2
    - -1
    - -4
    - -2
    - 6
    - 4
    - 0
    - 2
    - 0
    - 6
    - -2
    - -4
    - 0
    - -6
    - -12
    - -2
    - 4
    - 0
    - -6
    - -16
    - 12
    - 14
    - 18
    class_deg: 8
    class_size: 6
    conductor: 63
    id: 47
    isogeny_matrix:
    - - 1
      - 2
      - 8
      - 4
      - 4
      - 8
    - - 2
      - 1
      - 4
      - 2
      - 2
      - 4
    - - 8
      - 4
      - 1
      - 8
      - 2
      - 4
    - - 4
      - 2
      - 8
      - 1
      - 4
      - 8
    - - 4
      - 2
      - 2
      - 4
      - 1
      - 2
    - - 8
      - 4
      - 4
      - 8
      - 2
      - 1
    lmfdb_iso: 63.a
    trace_hash: 2278490076300767204
- - area:
      __RealLiteral__: 0
      data: '0.28735897654570899354538575570'
      prec: 103
    conductor: 63
    gens: []
    heights: []
    id: 170
    lmfdb_label: 63.a1
    ngens: 0
    rank_bounds:
    - 0
    - 0
    real_period:
      __RealLiteral__: 0
      data: '2.2066209286713850140325004382'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '1.1033104643356925070162502191141098059'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - 48
      - -15
      - 1
    xcoord_integral_points:
    - 48
- - id: 170
    iwdata:
      '2':
      - 2
      - 0
      '3': a
      '7':
      - 0
      - 0
    iwp0: 3
    lmfdb_label: 63.a1
- - degree: 2
    field:
    - -3
    - 0
    - 1
    id: 2190
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 4
  - degree: 4
    field:
    - 3
    - 0
    - -3
    - 0
    - 1
    id: 2191
    lmfdb_label: 63.a1
    torsion:
    - 8
  - degree: 4
    field:
    - 49
    - 0
    - -28
    - 0
    - 1
    id: 2192
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - -3
    - -7
    - -5
    - 3
    - 4
    - 2
    - -3
    - -1
    - 1
    id: 2196
    lmfdb_label: 63.a1
    torsion:
    - 12
  - degree: 8
    field:
    - 1
    - -4
    - 8
    - -10
    - 7
    - -2
    - 2
    - -2
    - 1
    id: 2194
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 8
  - degree: 8
    field:
    - 147
    - 0
    - 0
    - 0
    - 24
    - 0
    - 0
    - 0
    - 1
    id: 2195
    lmfdb_label: 63.a1
    torsion:
    - 16
  - degree: 8
    field:
    - 21609
    - 0
    - 0
    - 0
    - 147
    - 0
    - 0
    - 0
    - 1
    id: 2193
    lmfdb_label: 63.a1
    torsion:
    - 4
    - 4
  - degree: 16
    field:
    - 81
    - 0
    - -327
    - 0
    - 292
    - 0
    - 177
    - 0
    - -207
    - 0
    - -49
    - 0
    - 15
    - 0
    - -6
    - 0
    - 1
    id: 2201
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 12
  - degree: 16
    field:
    - 2257
    - 12232
    - 27290
    - 31524
    - 17132
    - -2068
    - -9188
    - -4836
    - 223
    - 1188
    - 328
    - -104
    - -40
    - 24
    - 2
    - -4
    - 1
    id: 2198
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 16
  - degree: 16
    field:
    - 2401
    - 0
    - -38416
    - 0
    - 122108
    - 0
    - -120736
    - 0
    - 52087
    - 0
    - -10976
    - 0
    - 1148
    - 0
    - -56
    - 0
    - 1
    id: 2199
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 16
  - degree: 16
    field:
    - 133921
    - -1090268
    - 2836206
    - -1439824
    - 1486194
    - -403368
    - 335254
    - -61048
    - 53319
    - -7844
    - 6022
    - -672
    - 504
    - -68
    - 36
    - -4
    - 1
    id: 2197
    lmfdb_label: 63.a1
    torsion:
    - 4
    - 8
  - degree: 16
    field:
    - 94128804
    - 0
    - 43563744
    - 0
    - 12113388
    - 0
    - 889056
    - 0
    - 55125
    - 0
    - 3528
    - 0
    - 504
    - 0
    - 0
    - 0
    - 1
    id: 2200
    lmfdb_label: 63.a1
    torsion:
    - 2
    - 16
- - conductor: 63
    conductor_valuation: 2
    discriminant_valuation: 7
    id: 325
    j_denominator_valuation: 1
    kodaira_symbol: -5
    lmfdb_label: 63.a1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 63
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 326
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 63.a1
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
- - adelic_gens:
    - - 134
      - 89
      - 213
      - 170
    - - 109
      - 16
      - 128
      - 21
    - - 5
      - 4
      - 332
      - 333
    - - 208
      - 331
      - 45
      - 14
    - - 1
      - 16
      - 0
      - 1
    - - 15
      - 2
      - 238
      - 323
    - - 321
      - 16
      - 320
      - 17
    - - 1
      - 0
      - 16
      - 1
    - - 13
      - 16
      - 164
      - 105
    adelic_image: 336.192.1.?
    conductor: 63
    id: 1666038
    lmfdb_label: 63.a1
    prime: 0
  - conductor: 63
    elladic_image: 16.48.0.38
    id: 188
    lmfdb_label: 63.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:
- 63.a1
- 63.a
- 63.a1
- 63.a1
- 63.a1
- 63.a1
- 63.a1
- 63.a
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-25T18:02:32.197256'