data:
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    Clabel: 1248e2
    Cnumber: 2
    abc_quality: 1.069422794221752
    absD: 3158618112
    adelic_genus: 0
    adelic_index: 48
    adelic_level: 312
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    bad_primes:
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    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: 1
    faltings_ratio: 2
    id: 6661
    iso_nlabel: 5
    isogeny_degrees:
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    jinv:
    - 1360251712
    - 771147
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    lmfdb_label: 1248.f2
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    min_quad_twist_ainvs:
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    min_quad_twist_disc: -4
    modell_images:
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    modm_images:
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    - 4.12.0-4.c.1.2
    - 12.24.0-12.h.1.1
    - 104.24.0.?
    - 312.48.0.?
    nonmax_primes:
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    nonmax_rad: 2
    num_bad_primes: 3
    num_int_pts: 9
    optimality: 0
    potential_good_reduction: false
    rank: 1
    regulator:
      __RealLiteral__: 0
      data: '0.39011799503959577487430912727'
      prec: 103
    semistable: false
    sha: 1
    sha_primes: []
    signD: 1
    stable_faltings_height:
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      data: '-0.18043083821056393902164917261'
      prec: 107
    szpiro_ratio: 4.11663302972232
    torsion: 2
    torsion_primes:
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    torsion_structure:
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    class_deg: 4
    class_size: 4
    conductor: 1248
    id: 3303
    isogeny_matrix:
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    - - 4
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    trace_hash: 1865816417566786042
- - area:
      __RealLiteral__: 0
      data: '0.35864125324678496749312727713'
      prec: 103
    conductor: 1248
    gens:
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    heights:
    - __RealLiteral__: 0
      data: '0.39011799503959577487430912727'
      prec: 103
    id: 6661
    lmfdb_label: 1248.f2
    ngens: 1
    rank_bounds:
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    real_period:
      __RealLiteral__: 0
      data: '1.1752609593546950284024196610'
      prec: 100
    sha_an:
      __RealLiteral__: 0
      data: '1.0000000000000000000000000000'
      prec: 100
    special_value:
      __RealLiteral__: 0
      data: '2.7509426946705929200919585110309812070'
      prec: 130
    tamagawa_product: 24
    torsion_generators:
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    xcoord_integral_points:
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- - id: 6661
    iwdata:
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    iwp0: 0
    lmfdb_label: 1248.f2
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    field:
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    id: 61989
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    torsion:
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    lmfdb_label: 1248.f2
    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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    torsion:
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    torsion:
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    torsion:
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    lmfdb_label: 1248.f2
    torsion:
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    id: 62002
    lmfdb_label: 1248.f2
    torsion:
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  - degree: 16
    field:
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    torsion:
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    field:
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    id: 62003
    lmfdb_label: 1248.f2
    torsion:
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    field:
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    id: 61998
    lmfdb_label: 1248.f2
    torsion:
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- - conductor: 1248
    conductor_valuation: 5
    discriminant_valuation: 12
    id: 18506
    j_denominator_valuation: 0
    kodaira_symbol: -7
    lmfdb_label: 1248.f2
    prime: 2
    reduction_type: 0
    root_number: 1
    tamagawa_number: 2
  - conductor: 1248
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    j_denominator_valuation: 3
    kodaira_symbol: 7
    lmfdb_label: 1248.f2
    prime: 3
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    id: 18508
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    kodaira_symbol: 8
    lmfdb_label: 1248.f2
    prime: 13
    reduction_type: 1
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- - adelic_gens:
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    - - 212
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      - 268
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      - 304
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    adelic_image: 312.48.0.?
    conductor: 1248
    id: 1672423
    lmfdb_label: 1248.f2
    prime: 0
  - conductor: 1248
    elladic_image: 4.12.0.8
    id: 5982
    lmfdb_label: 1248.f2
    modell_image: 2B
    prime: 2
- - id: 31151
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    p: 5
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    unit: 14234464279079
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  - id: 31157
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  - id: 31160
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  - id: 31156
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  - id: 31149
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    unit: 13832743541861449429614711154005799
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  - id: 31163
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  - id: 31148
    lmfdb_iso: 1248.f
    p: 97
    prec: 20
    unit: 42381619688725088364501385447974896738
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label_cols:
- lmfdb_label
- lmfdb_iso
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_label
- lmfdb_iso
labels:
- 1248.f2
- 1248.f
- 1248.f2
- 1248.f2
- 1248.f2
- 1248.f2
- 1248.f2
- 1248.f
tables:
- ec_curvedata
- ec_classdata
- ec_mwbsd
- ec_iwasawa
- ec_torsion_growth
- ec_localdata
- ec_galrep
- ec_padic
timestamp: '2024-05-07T18:54:18.520422'