data:
- - Ciso: 12502b
    Clabel: 12502b1
    Cnumber: 1
    abc_quality: 0.7362290974450356
    absD: 100016
    adelic_genus: 0
    adelic_index: 2
    adelic_level: 12502
    ainvs:
    - 1
    - 0
    - 1
    - -10
    - -20
    analytic_rank: 1
    bad_primes:
    - 2
    - 7
    - 19
    - 47
    class_deg: 1
    class_size: 1
    cm: 0
    conductor: 12502
    degree: 1536
    elladic_images: []
    faltings_height:
      __RealLiteral__: 0
      data: '-0.34537260974169024075278587682'
      prec: 107
    faltings_index: 0
    faltings_ratio: 1
    id: 81703
    iso_nlabel: 1
    isogeny_degrees:
    - 1
    jinv:
    - -95443993
    - 100016
    lmfdb_iso: 12502.b
    lmfdb_label: 12502.b1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - 0
    - 1
    - -10
    - -20
    min_quad_twist_disc: 1
    modell_images: []
    modm_images:
    - 12502.2.0.?
    nonmax_primes: []
    nonmax_rad: 1
    num_bad_primes: 4
    num_int_pts: 2
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '1.2660980610244372949735980199'
      prec: 100
    semistable: true
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.34537260974169024075278587682'
      prec: 107
    szpiro_ratio: 2.057265548191874
    torsion: 1
    torsion_primes: []
    torsion_structure: []
- - anlist:
    - 0
    - 1
    - -1
    - 1
    - 1
    - -3
    - -1
    - 1
    - -1
    - -2
    - 3
    - 0
    - 1
    - 4
    - -1
    - -3
    - 1
    - 4
    - 2
    - -1
    - -3
    aplist:
    - -1
    - 1
    - -3
    - 1
    - 0
    - 4
    - 4
    - -1
    - -8
    - 5
    - -2
    - 4
    - -2
    - -12
    - 1
    - 4
    - 12
    - 12
    - 3
    - -6
    - 5
    - 14
    - -10
    - -15
    - -14
    class_deg: 1
    class_size: 1
    conductor: 12502
    id: 48806
    isogeny_matrix:
    - - 1
    lmfdb_iso: 12502.b
    trace_hash: 2073723812007265325
- - area:
      __RealLiteral__: 0
      data: '1.9952018426473511588665017123'
      prec: 100
    conductor: 12502
    gens:
    - - 5
      - 5
      - 1
    heights:
    - __RealLiteral__: 0
      data: '1.2660980610244372949735980199'
      prec: 100
    id: 81703
    lmfdb_label: 12502.b1
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '1.3045184325462759107484761209'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.3032965160349562502085675025343593778'
      prec: 130
    tamagawa_product: 2
    torsion_generators: []
    xcoord_integral_points:
    - 5
- - id: 81703
    iwdata:
      '11':
      - 1
      - 1
      - 0
      '13':
      - 1
      - 0
      '17':
      - 1
      - 0
      '19':
      - 1
      - 0
      '2':
      - 1
      - 0
      '23':
      - 1
      - 0
      '29':
      - 1
      - 0
      '3':
      - 3
      - 0
      '31':
      - 1
      - 0
      '37':
      - 1
      - 0
      '41':
      - 1
      - 0
      '43':
      - 1
      - 0
      '47':
      - 2
      - 0
      '5':
      - 1
      - 0
      '7':
      - 4
      - 0
    iwp0: 0
    lmfdb_label: 12502.b1
- - degree: 3
    field:
    - -28
    - 14
    - -1
    - 1
    id: 646188
    lmfdb_label: 12502.b1
    torsion:
    - 2
  - degree: 6
    field:
    - 6332
    - 6530
    - 1803
    - -18
    - -31
    - 0
    - 1
    id: 646189
    lmfdb_label: 12502.b1
    torsion:
    - 2
    - 2
  - degree: 8
    field:
    - -2970
    - 2133
    - -2304
    - 341
    - -167
    - -7
    - 7
    - -4
    - 1
    id: 646190
    lmfdb_label: 12502.b1
    torsion:
    - 3
  - degree: 12
    field:
    - -9632
    - -17472
    - -41128
    - -19616
    - -24102
    - 31306
    - -16805
    - 3784
    - -515
    - -46
    - 21
    - -4
    - 1
    id: 646191
    lmfdb_label: 12502.b1
    torsion:
    - 4
- - conductor: 12502
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 271017
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 12502.b1
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 12502
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 271018
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 12502.b1
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
  - conductor: 12502
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 271019
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 12502.b1
    prime: 19
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 12502
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 271020
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 12502.b1
    prime: 47
    reduction_type: 1
    root_number: -1
    tamagawa_number: 1
- - adelic_gens:
    - - 5265
      - 2
      - 5265
      - 3
    - - 1
      - 1
      - 12501
      - 0
    - - 12501
      - 2
      - 12500
      - 3
    - - 1
      - 0
      - 2
      - 1
    - - 1
      - 2
      - 0
      - 1
    - - 3573
      - 2
      - 3573
      - 3
    - - 9311
      - 2
      - 9311
      - 3
    adelic_image: 12502.2.0.?
    conductor: 12502
    id: 1747039
    lmfdb_label: 12502.b1
    prime: 0
- - id: 547578
    lmfdb_iso: 12502.b
    p: 5
    prec: 20
    unit: 11920230754031
    val: 1
  - id: 547584
    lmfdb_iso: 12502.b
    p: 13
    prec: 20
    unit: 168619235419130175859
    val: 1
  - id: 547586
    lmfdb_iso: 12502.b
    p: 17
    prec: 20
    unit: 145035276635562592934395
    val: 1
  - id: 547590
    lmfdb_iso: 12502.b
    p: 23
    prec: 20
    unit: 53469571318727139612285499
    val: 1
  - id: 547583
    lmfdb_iso: 12502.b
    p: 29
    prec: 20
    unit: 5652497885794252255022466742
    val: 1
  - id: 547580
    lmfdb_iso: 12502.b
    p: 31
    prec: 20
    unit: 3251539534551162459032628217
    val: 1
  - id: 547594
    lmfdb_iso: 12502.b
    p: 37
    prec: 20
    unit: 131955218945319886085424772216
    val: 1
  - id: 547581
    lmfdb_iso: 12502.b
    p: 41
    prec: 20
    unit: 1339520147047312901280461707777
    val: 1
  - id: 547582
    lmfdb_iso: 12502.b
    p: 43
    prec: 20
    unit: 330228178558903226661205722857
    val: 1
  - id: 547588
    lmfdb_iso: 12502.b
    p: 53
    prec: 20
    unit: 337038947991593940260953731752939
    val: 1
  - id: 547592
    lmfdb_iso: 12502.b
    p: 59
    prec: 20
    unit: 1112975234639973806548587426095627
    val: 1
  - id: 547593
    lmfdb_iso: 12502.b
    p: 61
    prec: 20
    unit: 5260200611862417731929349543425800
    val: 1
  - id: 547577
    lmfdb_iso: 12502.b
    p: 67
    prec: 20
    unit: 49534472756775655337551976981147275
    val: 1
  - id: 547579
    lmfdb_iso: 12502.b
    p: 71
    prec: 20
    unit: 34595499320483316003435303919966206
    val: 1
  - id: 547589
    lmfdb_iso: 12502.b
    p: 73
    prec: 20
    unit: 60551672748097321750661159629372850
    val: 1
  - id: 547585
    lmfdb_iso: 12502.b
    p: 79
    prec: 20
    unit: 570929435005824758356955209256950028
    val: 1
  - id: 547587
    lmfdb_iso: 12502.b
    p: 83
    prec: 20
    unit: 2109384571435378314575055617500145132
    val: 1
  - id: 547591
    lmfdb_iso: 12502.b
    p: 89
    prec: 20
    unit: 8069040748394306896893035454749920696
    val: 1
  - id: 547576
    lmfdb_iso: 12502.b
    p: 97
    prec: 20
    unit: 10365409598348015095753361071385379763
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 12502.b1
- 12502.b
- 12502.b1
- 12502.b1
- 12502.b1
- 12502.b1
- 12502.b1
- 12502.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-09T21:09:38.404302'