data:
- - Ciso: 115920er
    Clabel: 115920er1
    Cnumber: 1
    abc_quality: 1.004102189160217
    absD: 2743895437362384076800000
    adelic_genus: 0
    adelic_index: 12
    adelic_level: 19320
    ainvs:
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    analytic_rank: 1
    bad_primes:
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    - 3
    - 5
    - 7
    - 23
    class_deg: 2
    class_size: 2
    cm: 0
    conductor: 115920
    degree: 13824000
    elladic_images:
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    faltings_height:
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      data: '3.3907035350110211489708101835'
      prec: 100
    faltings_index: 0
    faltings_ratio: 1
    id: 758153
    iso_nlabel: 119
    isogeny_degrees:
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    jinv:
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    lmfdb_label: 115920.ep1
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    manin_constant: 1
    min_quad_twist_ainvs:
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    min_quad_twist_disc: 12
    modell_images:
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    modm_images:
    - 2.3.0.a.1
    - 56.6.0.c.1
    - 690.6.0.?
    - 19320.12.0.?
    nonmax_primes:
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    nonmax_rad: 2
    num_bad_primes: 5
    num_int_pts: 3
    optimality: 1
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '5.2813532302471566600084353313'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
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      data: '2.1482502101170209938559554436'
      prec: 100
    szpiro_ratio: 5.508182812526686
    torsion: 2
    torsion_primes:
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    torsion_structure:
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- - anlist:
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    aplist:
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    class_deg: 2
    class_size: 2
    conductor: 115920
    id: 507472
    isogeny_matrix:
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    - - 2
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    lmfdb_iso: 115920.ep
    trace_hash: 2194549830659651948
- - area:
      __RealLiteral__: 0
      data: '0.0011346772042708405973564739215'
      prec: 110
    conductor: 115920
    gens:
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      - 304850
      - 1
    heights:
    - __RealLiteral__: 0
      data: '5.2813532302471566600084353313'
      prec: 100
    id: 758153
    lmfdb_label: 115920.ep1
    ngens: 1
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '0.074122273445691298079878501637'
      prec: 107
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '7.8293181659132956046825624237265883277'
      prec: 130
    tamagawa_product: 80
    torsion_generators:
    - - 1669
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    xcoord_integral_points:
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- - id: 758153
    iwdata:
      '11':
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    iwp0: 0
    lmfdb_label: 115920.ep1
- - degree: 2
    field:
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    id: 5314569
    lmfdb_label: 115920.ep1
    torsion:
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  - degree: 4
    field:
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    id: 5314570
    lmfdb_label: 115920.ep1
    torsion:
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  - degree: 8
    field:
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    id: 5314573
    lmfdb_label: 115920.ep1
    torsion:
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  - degree: 8
    field:
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    id: 5314572
    lmfdb_label: 115920.ep1
    torsion:
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  - degree: 8
    field:
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    id: 5314571
    lmfdb_label: 115920.ep1
    torsion:
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  - degree: 16
    field:
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    id: 5314575
    lmfdb_label: 115920.ep1
    torsion:
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  - degree: 16
    field:
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    - 0
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    - 0
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    id: 5314574
    lmfdb_label: 115920.ep1
    torsion:
    - 8
- - conductor: 115920
    conductor_valuation: 4
    discriminant_valuation: 42
    id: 2851182
    j_denominator_valuation: 30
    kodaira_symbol: -38
    lmfdb_label: 115920.ep1
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 4
  - conductor: 115920
    conductor_valuation: 2
    discriminant_valuation: 11
    id: 2851183
    j_denominator_valuation: 5
    kodaira_symbol: -9
    lmfdb_label: 115920.ep1
    prime: 3
    reduction_type: 0
    root_number: -1
    tamagawa_number: 2
  - conductor: 115920
    conductor_valuation: 1
    discriminant_valuation: 5
    id: 2851184
    j_denominator_valuation: 5
    kodaira_symbol: 9
    lmfdb_label: 115920.ep1
    prime: 5
    reduction_type: 1
    root_number: -1
    tamagawa_number: 5
  - conductor: 115920
    conductor_valuation: 1
    discriminant_valuation: 2
    id: 2851185
    j_denominator_valuation: 2
    kodaira_symbol: 6
    lmfdb_label: 115920.ep1
    prime: 7
    reduction_type: 1
    root_number: -1
    tamagawa_number: 2
  - conductor: 115920
    conductor_valuation: 1
    discriminant_valuation: 1
    id: 2851186
    j_denominator_valuation: 1
    kodaira_symbol: 5
    lmfdb_label: 115920.ep1
    prime: 23
    reduction_type: -1
    root_number: 1
    tamagawa_number: 1
- - adelic_gens:
    - - 13442
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      - 12599
      - 0
    - - 1
      - 2
      - 2
      - 5
    - - 2761
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      - 5522
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    - - 1
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    - - 11594
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    - - 3
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      - 8
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    - - 2417
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    adelic_image: 19320.12.0.?
    conductor: 115920
    id: 2421636
    lmfdb_label: 115920.ep1
    prime: 0
  - conductor: 115920
    elladic_image: 2.3.0.1
    id: 457307
    lmfdb_label: 115920.ep1
    modell_image: 2B
    prime: 2
- - id: 6052397
    lmfdb_iso: 115920.ep
    p: 13
    prec: 20
    unit: 1359378203505821099947
    val: 1
  - id: 6052396
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    unit: 5010385646641463260917107454
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  - id: 6052404
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    prec: 20
    unit: 85624093785673196211253367
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  - id: 6052393
    lmfdb_iso: 115920.ep
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    prec: 20
    unit: 76689566892874877070790350650
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  - id: 6052395
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    unit: 142623982546989087780660434022
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  - id: 6052398
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    p: 47
    prec: 20
    unit: 6388393109770754789448908654524
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  - id: 6052400
    lmfdb_iso: 115920.ep
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    prec: 20
    unit: 63374986194603052321201585692748
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  - id: 6052402
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    unit: 2959502697548328749864158818707589
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  - id: 6052403
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    unit: 2062841715727152053796723174944143
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  - id: 6052392
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    unit: 1070860557291837088179794588432613
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  - id: 6052394
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    p: 71
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    unit: 85846817078769345584542263689472937
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  - id: 6052399
    lmfdb_iso: 115920.ep
    p: 83
    prec: 20
    unit: 2330442025043973590007227592456358295
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  - id: 6052401
    lmfdb_iso: 115920.ep
    p: 89
    prec: 20
    unit: 7807505017133546019613864389324540569
    val: 1
  - id: 6052391
    lmfdb_iso: 115920.ep
    p: 97
    prec: 20
    unit: 18142134008020465139423099681207190971
    val: 1
label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 115920.ep1
- 115920.ep
- 115920.ep1
- 115920.ep1
- 115920.ep1
- 115920.ep1
- 115920.ep1
- 115920.ep
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-24T07:26:39.613172'