Elliptic curve data - 1104.g3

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1104h', 'Clabel': '1104h2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 702038016, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 184, 'ainvs': [0, 1, 0, -272, -1260], 'analytic_rank': 0, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1104, 'degree': 384, 'elladic_images': ['8.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40158784365716250470861706666', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '1104.g', 'lmfdb_label': '1104.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '8.24.0-8.a.1.1', '92.24.0.?', '184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 368], [23, 24, 48]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29155933690278280470861505480', 'prec': 107}, 'szpiro_ratio': 4.0582161105550645, '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, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, -2, 0, 2, 0, 2, 0, 8, 0], 'aplist': [0, 1, 2, 0, 0, -2, 2, 8, 1, -2, 8, 2, 10, -8, -8, 2, 4, 2, -8, 0, -6, -8, 16, 18, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 1104, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1104.g', 'trace_hash': 163190741030937556}
• 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': '0.44790429916842902471075765717', 'prec': 103}, 'conductor': 1104, 'gens': [], 'heights': [], 'lmfdb_label': '1104.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2042617083099278456547827864', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4085234166198556913095655727782796550', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-5, 0, 1], [18, 0, 1]], 'xcoord_integral_points': [-14, -5, 18]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '1104.g3'}
• ec_torsion_growth •

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

  
  
  • id: 54342
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 4]}
  • id: 54343
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 4]}
  • id: 54344
    {'degree': 4, 'field': [121, 0, -24, 0, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 4]}
  • id: 54347
    {'degree': 8, 'field': [-48, 0, -28, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 6]}
  • id: 54346
    {'degree': 8, 'field': [156, 252, 796, -434, 215, -44, -4, -2, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 8]}
  • id: 54345
    {'degree': 8, 'field': [1296, 0, 0, 0, 49, 0, 0, 0, 1], 'lmfdb_label': '1104.g3', 'torsion': [4, 4]}
  • id: 54348
    {'degree': 16, 'field': [16, 0, -160, 0, 800, 0, -504, 0, 161, 0, -12, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 8]}
  • id: 54349
    {'degree': 16, 'field': [33856, 0, -67712, 0, 27232, 0, -11040, 0, 5844, 0, -1680, 0, 292, 0, -32, 0, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 8]}
  • id: 54350
    {'degree': 16, 'field': [211968, 317952, 609408, -176640, 105984, 2208, 59264, -28992, 5348, -1296, 1664, -600, 208, -72, 25, -6, 1], 'lmfdb_label': '1104.g3', 'torsion': [2, 12]}
• 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: 15822
    {'conductor': 1104, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '1104.g3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 15823
    {'conductor': 1104, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1104.g3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 15824
    {'conductor': 1104, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1104.g3', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1671530
    {'adelic_gens': [[97, 2, 0, 1], [93, 4, 2, 9], [181, 4, 180, 5], [1, 4, 0, 1], [43, 180, 176, 173], [1, 0, 4, 1]], 'adelic_image': '184.48.0.?', 'conductor': 1104, 'lmfdb_label': '1104.g3', 'prime': 0}
  • id: 5243
    {'conductor': 1104, 'elladic_image': '8.24.0.2', 'lmfdb_label': '1104.g3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 1104.g does not appear in ec_padic