Elliptic curve data - 122694.f3

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '122694v', 'Clabel': '122694v2', 'Cnumber': 2, 'abc_quality': 1.0010328633057461, 'absD': 906469701671778513984, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1144, 'ainvs': [1, 1, 0, -6431636, 6106052880], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 122694, 'degree': 7741440, 'elladic_images': ['8.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7969750638479046234684941766', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [3440899317673, 106007616], 'lmfdb_iso': '122694.f', 'lmfdb_label': '122694.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -314, -2220], 'min_quad_twist_disc': -143, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.2', '44.12.0-2.a.1.1', '52.12.0-2.a.1.1', '88.24.0.?', '104.24.0.?', '572.24.0.?', '1144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.31555274871795098341077866683', 'prec': 103}, 'szpiro_ratio': 5.004828535360233, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, -1, -1, 1, -2, 1, 0, -1, 1, 2, 0, -1, 0, 0, 2, 1, -2, -1, 4, -2], 'aplist': [-1, -1, -2, 0, 0, 0, -2, 4, 8, 6, 4, 6, -2, -8, -12, 14, -12, -2, -12, -4, 6, 8, -12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 122694, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '122694.f', 'trace_hash': 377126583418071959}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0037203031291145014282665823655', 'prec': 110}, 'conductor': 122694, 'gens': [], 'heights': [], 'lmfdb_label': '122694.f3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15667518585625838340677037362', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.62670074342503353362708149449746297264', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[-2920, 1460, 1], [1656, -828, 1]], 'xcoord_integral_points': [-2920, 1656]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '11': 'a', '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '122694.f3'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 5604547
    {'degree': 4, 'field': [36, 0, 1, 0, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 4]}
  • id: 5604549
    {'degree': 4, 'field': [339, 50, -49, -2, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 4]}
  • id: 5604548
    {'degree': 4, 'field': [815, 46, -45, -2, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 4]}
  • id: 5604550
    {'degree': 8, 'field': [-1504, -608, 362, -239, 278, -65, -5, -4, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 6]}
  • id: 5604551
    {'degree': 16, 'field': [1296, 0, -10224, 0, 30604, 0, -40180, 0, 19377, 0, 280, 0, 294, 0, -4, 0, 1], 'lmfdb_label': '122694.f3', 'torsion': [4, 4]}
  • id: 5604554
    {'degree': 16, 'field': [21707, 161728, -280964, 177048, 94228, -290920, 187096, -22232, -55599, 29368, 4748, -4816, 14, 336, -28, -8, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 8]}
  • id: 5604553
    {'degree': 16, 'field': [132687, -544896, 2268396, -4148568, 3986440, -2745896, 1691960, -713832, 236701, -35800, 4036, 1808, -362, 0, 20, -8, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 8]}
  • id: 5604552
    {'degree': 16, 'field': [556865604, 0, -389059524, 0, 89578953, 0, -2075976, 0, 65088, 0, 10122, 0, 1108, 0, 56, 0, 1], 'lmfdb_label': '122694.f3', 'torsion': [2, 8]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 3023392
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '122694.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3023393
    {'conductor': 122694, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '122694.f3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3023394
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '122694.f3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3023395
    {'conductor': 122694, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '122694.f3', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2465044
    {'adelic_gens': [[1, 0, 4, 1], [287, 4, 574, 9], [1, 4, 0, 1], [1141, 4, 1140, 5], [791, 1142, 0, 1143], [575, 2, 1142, 1143], [207, 1140, 414, 1135]], 'adelic_image': '1144.48.0.?', 'conductor': 122694, 'lmfdb_label': '122694.f3', 'prime': 0}
  • id: 481356
    {'conductor': 122694, 'elladic_image': '8.12.0.2', 'lmfdb_label': '122694.f3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 122694.f does not appear in ec_padic