data:
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    Clabel: 1248h4
    Cnumber: 4
    abc_quality: 1.1090184401235288
    absD: 3537271296
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 312
    ainvs:
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    analytic_rank: 1
    bad_primes:
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    - 3
    - 13
    class_deg: 4
    class_size: 4
    cm: 0
    conductor: 1248
    degree: 768
    elladic_images:
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    faltings_height:
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      prec: 103
    faltings_index: 2
    faltings_ratio: 2
    id: 6671
    iso_nlabel: 1
    isogeny_degrees:
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    jinv:
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    lmfdb_label: 1248.b4
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    modell_images:
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    modm_images:
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    - 4.12.0-4.c.1.2
    - 24.24.0-24.ba.1.16
    - 104.24.0.?
    - 312.48.0.?
    nonmax_primes:
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    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 1
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '6.9929977950548464610190179455'
      prec: 100
    semistable: false
    sha: 1
    sha_primes: []
    signD: -1
    stable_faltings_height:
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      data: '-0.0071440430705776116673411422435'
      prec: 113
    szpiro_ratio: 4.132480297713336
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    torsion_primes:
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    torsion_structure:
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    class_deg: 4
    class_size: 4
    conductor: 1248
    id: 3306
    isogeny_matrix:
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    - - 4
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    trace_hash: 1985730887369394816
- - area:
      __RealLiteral__: 0
      data: '0.35864125324678496749312727713'
      prec: 103
    conductor: 1248
    gens:
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    heights:
    - __RealLiteral__: 0
      data: '6.9929977950548464610190179455'
      prec: 100
    id: 6671
    lmfdb_label: 1248.b4
    ngens: 1
    rank_bounds:
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    real_period:
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      prec: 103
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
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    special_value:
      __RealLiteral__: 0
      data: '2.1339749893058123379666515085619856063'
      prec: 130
    tamagawa_product: 2
    torsion_generators:
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    xcoord_integral_points:
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    iwp0: 0
    lmfdb_label: 1248.b4
- - degree: 2
    field:
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    torsion:
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    lmfdb_label: 1248.b4
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    torsion:
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    torsion:
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    torsion:
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    torsion:
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    torsion:
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    lmfdb_label: 1248.b4
    torsion:
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    field:
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    lmfdb_label: 1248.b4
    torsion:
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    field:
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    id: 62102
    lmfdb_label: 1248.b4
    torsion:
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    field:
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    id: 62101
    lmfdb_label: 1248.b4
    torsion:
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    field:
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    id: 62100
    lmfdb_label: 1248.b4
    torsion:
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- - conductor: 1248
    conductor_valuation: 5
    discriminant_valuation: 9
    id: 18536
    j_denominator_valuation: 0
    kodaira_symbol: -1
    lmfdb_label: 1248.b4
    prime: 2
    reduction_type: 0
    root_number: -1
    tamagawa_number: 1
  - conductor: 1248
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    j_denominator_valuation: 12
    kodaira_symbol: 16
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    prime: 3
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    kodaira_symbol: 5
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    prime: 13
    reduction_type: 1
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    tamagawa_number: 1
- - adelic_gens:
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    adelic_image: 312.48.0.?
    conductor: 1248
    id: 1672415
    lmfdb_label: 1248.b4
    prime: 0
  - conductor: 1248
    elladic_image: 4.12.0.8
    id: 5974
    lmfdb_label: 1248.b4
    modell_image: 2B
    prime: 2
- - id: 31208
    lmfdb_iso: 1248.b
    p: 5
    prec: 20
    unit: 3625957518229
    val: 2
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  - id: 31219
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  - id: 31223
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    unit: 961441938907187635044372085570207
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    unit: 406012153587619941512961668647962
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  - id: 31213
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    p: 79
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    unit: 946826226350929109217855160251754706
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  - id: 31206
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    p: 83
    prec: 20
    unit: 2604450885469249983399657058338027788
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  - id: 31220
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    p: 89
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    unit: 7374977180978314546269441365072993249
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  - id: 31205
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    p: 97
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    unit: 6378682102933110278174804954143592091
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label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1248.b4
- 1248.b
- 1248.b4
- 1248.b4
- 1248.b4
- 1248.b4
- 1248.b4
- 1248.b
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-04-23T18:40:51.820854'