data:
- - Ciso: 6930d
    Clabel: 6930d2
    Cnumber: 2
    abc_quality: 0.8917483116474912
    absD: 706038067350
    adelic_genus: 0
    adelic_index: 12
    adelic_level: 840
    ainvs:
    - 1
    - -1
    - 0
    - -2094
    - 55250
    analytic_rank: 1
    bad_primes:
    - 2
    - 3
    - 5
    - 7
    - 11
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 6930
    degree: 12288
    elladic_images:
    - 2.3.0.1
    faltings_height:
      __RealLiteral__: 0
      data: '0.97376951597431324246271701542'
      prec: 103
    faltings_index: 1
    faltings_ratio: 2
    id: 44190
    iso_nlabel: 10
    isogeny_degrees:
    - 1
    - 2
    jinv:
    - -51603494067
    - 35870450
    lmfdb_iso: 6930.k
    lmfdb_label: 6930.k2
    lmfdb_number: 2
    manin_constant: 1
    min_quad_twist_ainvs:
    - 1
    - -1
    - 0
    - -2094
    - 55250
    min_quad_twist_disc: 1
    modell_images:
    - 2B
    modm_images:
    - 2.3.0.a.1
    - 24.6.0.b.1
    - 280.6.0.?
    - 420.6.0.?
    - 840.12.0.?
    nonmax_primes:
    - 2
    nonmax_rad: 2
    num_bad_primes: 5
    num_int_pts: 8
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '0.46238767616487700086443692250'
      prec: 103
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
      __RealLiteral__: 0
      data: '0.14981029947323097391628308773'
      prec: 103
    szpiro_ratio: 3.996482285890636
    torsion: 2
    torsion_primes:
    - 2
    torsion_structure:
    - 2
- - anlist:
    - 0
    - 1
    - -1
    - 0
    - 1
    - 1
    - 0
    - -1
    - -1
    - 0
    - -1
    - 1
    - 0
    - -6
    - 1
    - 0
    - 1
    - 0
    - 0
    - 6
    - 1
    aplist:
    - -1
    - 0
    - 1
    - -1
    - 1
    - -6
    - 0
    - 6
    - -4
    - 2
    - 4
    - -12
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    - 6
    - -6
    - 6
    - -4
    - 8
    - 10
    - -10
    - -10
    - 8
    - 0
    - 6
    - 2
    class_deg: 2
    class_size: 2
    conductor: 6930
    id: 25346
    isogeny_matrix:
    - - 1
      - 2
    - - 2
      - 1
    lmfdb_iso: 6930.k
    trace_hash: 189600520810620853
- - area:
      __RealLiteral__: 0
      data: '0.14262463471663027858568652477'
      prec: 103
    conductor: 6930
    gens:
    - - 19
      - 139
      - 1
    heights:
    - __RealLiteral__: 0
      data: '0.46238767616487700086443692250'
      prec: 103
    id: 44190
    lmfdb_label: 6930.k2
    ngens: 1
    rank_bounds:
    - 1
    - 1
    real_period:
      __RealLiteral__: 0
      data: '0.83323885769365919922581745847'
      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '3.0822350327939817674102929236870409642'
      prec: 130
    tamagawa_product: 32
    torsion_generators:
    - - -221
      - 221
      - 2
    xcoord_integral_points:
    - -25
    - 19
    - 41
    - 181
- - id: 44190
    iwdata:
      '11':
      - 2
      - 0
      '13':
      - 1
      - 0
      '17':
      - 1
      - 1
      - 0
      '19':
      - 1
      - 0
      '2':
      - 2
      - 1
      '23':
      - 3
      - 0
      '29':
      - 1
      - 0
      '3': a
      '31':
      - 1
      - 0
      '37':
      - 1
      - 0
      '41':
      - 1
      - 0
      '43':
      - 1
      - 0
      '47':
      - 1
      - 0
      '5':
      - 2
      - 0
      '7':
      - 1
      - 0
    iwp0: 0
    lmfdb_label: 6930.k2
- - degree: 2
    field:
    - 6
    - 0
    - 1
    id: 363193
    lmfdb_label: 6930.k2
    torsion:
    - 2
    - 2
  - degree: 4
    field:
    - -24
    - 0
    - -3
    - 0
    - 1
    id: 363194
    lmfdb_label: 6930.k2
    torsion:
    - 4
  - degree: 8
    field:
    - -1728
    - 0
    - -5328
    - 0
    - 144
    - 0
    - 0
    - 0
    - 1
    id: 363197
    lmfdb_label: 6930.k2
    torsion:
    - 6
  - degree: 8
    field:
    - 100
    - 0
    - 64
    - 0
    - 18
    - 0
    - -8
    - 0
    - 1
    id: 363195
    lmfdb_label: 6930.k2
    torsion:
    - 2
    - 4
  - degree: 8
    field:
    - 900
    - 0
    - 3060
    - 0
    - 141
    - 0
    - 18
    - 0
    - 1
    id: 363196
    lmfdb_label: 6930.k2
    torsion:
    - 2
    - 4
  - degree: 16
    field:
    - -44563602320
    - -30356483680
    - 6662719360
    - -2373975520
    - -205720324
    - 25568504
    - 31381660
    - -205160
    - 2553496
    - 256560
    - 102364
    - 8280
    - 2521
    - -490
    - -65
    - -6
    - 1
    id: 363198
    lmfdb_label: 6930.k2
    torsion:
    - 8
  - degree: 16
    field:
    - 41062464
    - 0
    - -14752584
    - 0
    - 5377572
    - 0
    - -411768
    - 0
    - 89820
    - 0
    - 18228
    - 0
    - 1968
    - 0
    - 84
    - 0
    - 1
    id: 363199
    lmfdb_label: 6930.k2
    torsion:
    - 2
    - 6
- - conductor: 6930
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 141157
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 6930.k2
    prime: 2
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
  - conductor: 6930
    conductor_valuation: 2
    discriminant_valuation: 9
    id: 141158
    j_denominator_valuation: 0
    kodaira_symbol: -3
    lmfdb_label: 6930.k2
    prime: 3
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 6930
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 141159
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 6930.k2
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 6930
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 141160
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 6930.k2
    prime: 7
    reduction_type: -1
    root_number: 1
    tamagawa_number: 2
  - conductor: 6930
    conductor_valuation: 1
    discriminant_valuation: 4
    id: 141161
    j_denominator_valuation: 4
    kodaira_symbol: 8
    lmfdb_label: 6930.k2
    prime: 11
    reduction_type: 1
    root_number: -1
    tamagawa_number: 4
- - adelic_gens:
    - - 837
      - 4
      - 836
      - 5
    - - 284
      - 1
      - 559
      - 0
    - - 1
      - 2
      - 2
      - 5
    - - 737
      - 106
      - 104
      - 735
    - - 1
      - 4
      - 0
      - 1
    - - 337
      - 4
      - 674
      - 9
    - - 241
      - 4
      - 482
      - 9
    - - 2
      - 1
      - 419
      - 0
    - - 1
      - 0
      - 4
      - 1
    - - 3
      - 4
      - 8
      - 11
    adelic_image: 840.12.0.?
    conductor: 6930
    id: 1709786
    lmfdb_label: 6930.k2
    prime: 0
  - conductor: 6930
    elladic_image: 2.3.0.1
    id: 34237
    lmfdb_label: 6930.k2
    modell_image: 2B
    prime: 2
- - id: 278606
    lmfdb_iso: 6930.k
    p: 13
    prec: 20
    unit: 1131927134269248591335
    val: 1
  - id: 278609
    lmfdb_iso: 6930.k
    p: 19
    prec: 20
    unit: 77133638737177476268305
    val: 1
  - id: 278612
    lmfdb_iso: 6930.k
    p: 23
    prec: 20
    unit: 1731210878581461857038925
    val: 2
  - id: 278605
    lmfdb_iso: 6930.k
    p: 29
    prec: 20
    unit: 1214571187061104978804987638
    val: 1
  - id: 278616
    lmfdb_iso: 6930.k
    p: 31
    prec: 20
    unit: 7466211176354215820379628615
    val: 1
  - id: 278601
    lmfdb_iso: 6930.k
    p: 37
    prec: 20
    unit: 277160659496029654037907810514
    val: 1
  - id: 278603
    lmfdb_iso: 6930.k
    p: 41
    prec: 20
    unit: 4238662534075257322476111434985
    val: 1
  - id: 278604
    lmfdb_iso: 6930.k
    p: 43
    prec: 20
    unit: 5455448677622373797264384355430
    val: 1
  - id: 278614
    lmfdb_iso: 6930.k
    p: 47
    prec: 20
    unit: 24435607316999716691385658303956
    val: 1
  - id: 278610
    lmfdb_iso: 6930.k
    p: 53
    prec: 20
    unit: 490881712290410918463912715992362
    val: 1
  - id: 278608
    lmfdb_iso: 6930.k
    p: 59
    prec: 20
    unit: 1829338691006942127949893623453290
    val: 1
  - id: 278615
    lmfdb_iso: 6930.k
    p: 61
    prec: 20
    unit: 2507217491879525831078069194574052
    val: 1
  - id: 278600
    lmfdb_iso: 6930.k
    p: 67
    prec: 20
    unit: 8473039401125734845418874082685850
    val: 1
  - id: 278602
    lmfdb_iso: 6930.k
    p: 71
    prec: 20
    unit: 40346878984349773414204409580406939
    val: 1
  - id: 278611
    lmfdb_iso: 6930.k
    p: 73
    prec: 20
    unit: 147673894419479955441297096802437436
    val: 1
  - id: 278607
    lmfdb_iso: 6930.k
    p: 79
    prec: 20
    unit: 924266892721093908320965639413830273
    val: 1
  - id: 278613
    lmfdb_iso: 6930.k
    p: 89
    prec: 20
    unit: 4159517288891601076778532614178376307
    val: 1
  - id: 278599
    lmfdb_iso: 6930.k
    p: 97
    prec: 20
    unit: 26498030119121536628777951608398837985
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 6930.k2
- 6930.k
- 6930.k2
- 6930.k2
- 6930.k2
- 6930.k2
- 6930.k2
- 6930.k
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-30T03:23:59.818981'