data:
- - Ciso: 1386a
    Clabel: 1386a1
    Cnumber: 1
    abc_quality: 0.9672157377550301
    absD: 678984768
    adelic_genus: 0
    adelic_index: 12
    adelic_level: 264
    ainvs:
    - 1
    - -1
    - 0
    - -231
    - -451
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 7
    - 11
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 1386
    degree: 576
    elladic_images:
    - 2.3.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '0.38764098207549041979939507112'
      prec: 103
    faltings_index: 0
    faltings_ratio: 1
    id: 7504
    iso_nlabel: 3
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - 69426531
    - 34496
    lmfdb_iso: 1386.d
    lmfdb_label: 1386.d1
    lmfdb_number: 1
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - -1
    - 0
    - -231
    - -451
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 24.6.0.c.1
    - 66.6.0.a.1
    - 88.6.0.?
    - 264.12.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 4
    num_int_pts: 7
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '0.85208060646282640507989603419'
      prec: 103
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '-0.43631823442559184874703885657'
      prec: 107
    szpiro_ratio: 3.862677060180595
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - 0
    - 1
    - 2
    - 0
    - -1
    - -1
    - 0
    - -2
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    - 0
    - -4
    - 1
    - 0
    - 1
    - 2
    - 0
    - -6
    - 2
    aplist:
    - -1
    - 0
    - 2
    - -1
    - -1
    - -4
    - 2
    - -6
    - -2
    - -2
    - -8
    - -2
    - -2
    - -2
    - 2
    - 6
    - 0
    - 4
    - 0
    - 10
    - -2
    - -12
    - -12
    - 12
    - -2
    class_deg: 2
    class_size: 2
    conductor: 1386
    id: 3743
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    lmfdb_iso: 1386.d
    trace_hash: 1914231079442175383
- - area:
      __RealLiteral__: 0
      data: '0.46057389736062820688541263223'
      prec: 103
    conductor: 1386
    gens:
    - - 25
      - 82
      - 1
    heights:
    - __RealLiteral__: 0
      data: '0.85208060646282640507989603419'
      prec: 103
    id: 7504
    lmfdb_label: 1386.d1
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '1.2887415247106829140646082139'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.1962233198986125580980933302903756833'
      prec: 130
    tamagawa_product: 8
    torsion_generators:
    - - -2
      - 1
      - 1
    xcoord_integral_points:
    - -10
    - -2
    - 23
    - 25
- - id: 7504
    iwdata:
      '11':
      - 3
      - 0
      '13':
      - 1
      - 0
      '17':
      - 1
      - 0
      '19':
      - 1
      - 0
      '2':
      - 5
      - 0
      '23':
      - 1
      - 0
      '29':
      - 1
      - 0
      '3': a
      '31':
      - 1
      - 0
      '37':
      - 1
      - 0
      '41':
      - 1
      - 0
      '43':
      - 1
      - 0
      '47':
      - 1
      - 0
      '5':
      - 1
      - 0
      '7':
      - 1
      - 0
    iwp0: 0
    lmfdb_label: 1386.d1
- - degree: 2
    field:
    - -8
    - -1
    - 1
    id: 69406
    lmfdb_label: 1386.d1
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - 15
    - -12
    - 0
    - 0
    - 1
    id: 69407
    lmfdb_label: 1386.d1
    torsion:
    - 4
  - degree: 8
    field:
    - -48
    - 0
    - -57
    - 0
    - -24
    - 0
    - 0
    - 0
    - 1
    id: 69410
    lmfdb_label: 1386.d1
    torsion:
    - 6
  - degree: 8
    field:
    - 4
    - 0
    - 58
    - 0
    - 33
    - 0
    - 4
    - 0
    - 1
    id: 69409
    lmfdb_label: 1386.d1
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 71824
    - 0
    - -23528
    - 0
    - 2136
    - 0
    - -74
    - 0
    - 1
    id: 69408
    lmfdb_label: 1386.d1
    torsion:
    - 2
    - 4
  - degree: 16
    field:
    - 352
    - 968
    - 1940
    - -4458
    - 1145
    - -4052
    - 7114
    - 780
    - -6068
    - 2082
    - 1150
    - -532
    - -154
    - 84
    - 8
    - -8
    - 1
    id: 69412
    lmfdb_label: 1386.d1
    torsion:
    - 2
    - 6
  - degree: 16
    field:
    - 6028288
    - 3180544
    - -2903552
    - -628224
    - 494112
    - -201536
    - 46944
    - 8928
    - 9697
    - -9896
    - 3484
    - -280
    - -378
    - 168
    - -4
    - -8
    - 1
    id: 69411
    lmfdb_label: 1386.d1
    torsion:
    - 8
- - conductor: 1386
    conductor_valuation: 1
    discriminant_valuation: 6
    id: 21076
    j_denominator_valuation: 6
    kodaira_symbol: 10
    lmfdb_label: 1386.d1
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 1386
    conductor_valuation: 2
    discriminant_valuation: 9
    id: 21077
    j_denominator_valuation: 0
    kodaira_symbol: -3
    lmfdb_label: 1386.d1
    prime: 3
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 1386
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 21078
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 1386.d1
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 1386
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 21079
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 1386.d1
    prime: 11
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 1
      - 0
      - 4
      - 1
    - - 3
      - 4
      - 8
      - 11
    - - 1
      - 2
      - 2
      - 5
    - - 1
      - 4
      - 0
      - 1
    - - 92
      - 1
      - 175
      - 0
    - - 261
      - 4
      - 260
      - 5
    - - 26
      - 1
      - 119
      - 0
    - - 133
      - 4
      - 2
      - 9
    - - 233
      - 34
      - 32
      - 231
    adelic_image: 264.12.0.?
    conductor: 1386
    id: 1673266
    lmfdb_label: 1386.d1
    prime: 0
  - conductor: 1386
    elladic_image: 2.3.0.1
    id: 6730
    lmfdb_label: 1386.d1
    modell_image: 2B
    prime: 2
- - id: 35745
    lmfdb_iso: 1386.d
    p: 5
    prec: 20
    unit: 14068320755211
    val: 1
  - id: 35751
    lmfdb_iso: 1386.d
    p: 13
    prec: 20
    unit: 1165703980958539806081
    val: 1
  - id: 35753
    lmfdb_iso: 1386.d
    p: 17
    prec: 20
    unit: 124036894144629673398730
    val: 1
  - id: 35754
    lmfdb_iso: 1386.d
    p: 19
    prec: 20
    unit: 1745868481127285351803115
    val: 1
  - id: 35757
    lmfdb_iso: 1386.d
    p: 23
    prec: 20
    unit: 26427082397609729898002660
    val: 1
  - id: 35750
    lmfdb_iso: 1386.d
    p: 29
    prec: 20
    unit: 2610324402460732216165147244
    val: 1
  - id: 35747
    lmfdb_iso: 1386.d
    p: 31
    prec: 20
    unit: 14547192976733933361748419409
    val: 1
  - id: 35761
    lmfdb_iso: 1386.d
    p: 37
    prec: 20
    unit: 93347756211889779542945302065
    val: 1
  - id: 35748
    lmfdb_iso: 1386.d
    p: 41
    prec: 20
    unit: 1789828286534225235591288597705
    val: 1
  - id: 35749
    lmfdb_iso: 1386.d
    p: 43
    prec: 20
    unit: 9193309595429132650414297476571
    val: 1
  - id: 35752
    lmfdb_iso: 1386.d
    p: 47
    prec: 20
    unit: 40035796426228975886250701665014
    val: 1
  - id: 35755
    lmfdb_iso: 1386.d
    p: 53
    prec: 20
    unit: 203605140117480618633036613878816
    val: 1
  - id: 35760
    lmfdb_iso: 1386.d
    p: 61
    prec: 20
    unit: 5775941082537661405055346378780252
    val: 1
  - id: 35746
    lmfdb_iso: 1386.d
    p: 71
    prec: 20
    unit: 54081958447269075958206812109340088
    val: 1
  - id: 35756
    lmfdb_iso: 1386.d
    p: 73
    prec: 20
    unit: 167758744008223309876767291235655920
    val: 1
  - id: 35759
    lmfdb_iso: 1386.d
    p: 79
    prec: 20
    unit: 556277253501244707973545526136230417
    val: 1
  - id: 35744
    lmfdb_iso: 1386.d
    p: 83
    prec: 20
    unit: 556975574149544749827908998469663312
    val: 1
  - id: 35758
    lmfdb_iso: 1386.d
    p: 89
    prec: 20
    unit: 2897360676956295301993243097359857254
    val: 1
  - id: 35743
    lmfdb_iso: 1386.d
    p: 97
    prec: 20
    unit: 26127612059538052639506299539657548369
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1386.d1
- 1386.d
- 1386.d1
- 1386.d1
- 1386.d1
- 1386.d1
- 1386.d1
- 1386.d
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-16T19:44:18.082635'