Elliptic curve data - 439530.i7

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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': '439530i', 'Clabel': '439530i1', 'Cnumber': 1, 'abc_quality': 0.9782064771169592, 'absD': 1123590185991000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 251160, 'ainvs': [1, 1, 0, -6584008, -51414671552], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 439530, 'degree': 79626240, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2951328406189098854060669131', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-268291321601301081721, 9550359000000000000], 'lmfdb_iso': '439530.i', 'lmfdb_label': '439530.i7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -134368, 149877806], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '52.12.0-4.c.1.2', '84.48.0.?', '120.48.0.?', '156.48.0.?', '276.48.0.?', '280.12.0.?', '840.96.0.?', '1092.96.0.?', '1560.96.0.?', '1794.24.0.?', '1932.96.0.?', '2760.96.1.?', '3588.96.0.?', '3640.24.0.?', '10920.192.1.?', '12558.48.0.?', '19320.192.1.?', '25116.192.1.?', '35880.192.1.?', '251160.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 6, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3221777660912532328533905414', 'prec': 100}, 'szpiro_ratio': 4.837003505910458, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, -1, 1, 0, -1, 1, 1, 0, -1, -1, 0, 1, 1, -6, -1, 4, -1], 'aplist': [-1, -1, -1, 0, 0, -1, -6, 4, -1, -6, -8, 2, 6, 8, 0, 6, 12, -2, -4, 0, -2, -4, 12, 6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 439530, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '439530.i', 'trace_hash': 2270022439837304115}
• 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': '0.0013736749554729182161341875809', 'prec': 110}, 'conductor': 439530, 'gens': [], 'heights': [], 'lmfdb_label': '439530.i7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037921734262153907965195796116', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2134954963889250548862654757238094394', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[4304, -2152, 1]], 'xcoord_integral_points': [4304]}
• lmfdb_label 439530.i7 does not appear in ec_iwasawa
• lmfdb_label 439530.i7 does not appear in ec_torsion_growth
• 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: 10851194
    {'conductor': 439530, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '439530.i7', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10851195
    {'conductor': 439530, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '439530.i7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10851196
    {'conductor': 439530, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '439530.i7', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10851197
    {'conductor': 439530, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '439530.i7', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10851198
    {'conductor': 439530, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '439530.i7', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10851199
    {'conductor': 439530, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '439530.i7', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 4373923
    {'adelic_gens': [[251137, 24, 251136, 25], [15, 106, 249854, 241931], [1, 12, 12, 145], [71744, 251139, 72045, 374], [52329, 10468, 240740, 198869], [1, 24, 0, 1], [150697, 24, 50244, 289], [16, 125583, 208841, 167354], [10936, 3, 141501, 251074], [1, 0, 24, 1], [154576, 21, 134955, 250786], [188377, 24, 188274, 250831]], 'adelic_image': '251160.384.5.?', 'conductor': 439530, 'lmfdb_label': '439530.i7', 'prime': 0}
  • id: 1475031
    {'conductor': 439530, 'elladic_image': '4.6.0.1', 'lmfdb_label': '439530.i7', 'modell_image': '2B', 'prime': 2}
  • id: 1475032
    {'conductor': 439530, 'elladic_image': '3.4.0.1', 'lmfdb_label': '439530.i7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 439530.i does not appear in ec_padic