Elliptic curve data - 74529.x1

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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': '74529c', 'Clabel': '74529c2', 'Cnumber': 2, 'absD': 228109601794347, 'ainvs': [0, 0, 1, 0, -726658], 'analytic_rank': 1, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 127008, 'elladic_images': ['7.84.1.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4339531831555838232850927004', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.x', 'lmfdb_label': '74529.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, 12], 'min_quad_twist_disc': -39, 'modell_images': ['7Ns.6.1.2'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.478505277290787667434898070', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.6113531512133714, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 7, 0], 'aplist': [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 1, 0, 5, 0, 0, 0, 14, -11, 0, 7, -13, 0, 0, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 74529, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '74529.x', 'trace_hash': 1663545726421904752}
• 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': '0.056817757713681592228045141654', 'prec': 107}, 'conductor': 74529, 'gens': [[132042, 43230506, 29]], 'heights': [{'__RealLiteral__': 0, 'data': '10.478505277290787667434898070', 'prec': 100}], 'lmfdb_label': '74529.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25613960143150454663300792065', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3679203306463587663628755295281747226', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 's?', '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [1, 1, 0], '13': 'a', '17': [1, 3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '74529.x1'}
• ec_torsion_growth •

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

  
  
  • id: 3527387
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '74529.x1', 'torsion': [3]}
  • id: 3527388
    {'degree': 3, 'field': [1, 5, -1, 1], 'lmfdb_label': '74529.x1', 'torsion': [2]}
  • id: 3527389
    {'degree': 6, 'field': [27, 9, -8, -3, 4, -3, 1], 'lmfdb_label': '74529.x1', 'torsion': [2, 2]}
  • id: 3527390
    {'degree': 6, 'field': [92, -174, 39, 3, -6, -3, 1], 'lmfdb_label': '74529.x1', 'torsion': [3]}
  • id: 3527391
    {'degree': 6, 'field': [246, 24, 316, -31, 39, -1, 1], 'lmfdb_label': '74529.x1', 'torsion': [6]}
  • id: 3527392
    {'degree': 12, 'field': [-3652923, 1817910, 544776, -435798, -12689, 28392, 2416, 180, -633, 42, 16, -6, 1], 'lmfdb_label': '74529.x1', 'torsion': [4]}
  • id: 3527394
    {'degree': 12, 'field': [-151577, 23034, -5272, -34400, 5427, 3045, -2491, 63, 508, 9, -39, -1, 1], 'lmfdb_label': '74529.x1', 'torsion': [7]}
  • id: 3527396
    {'degree': 12, 'field': [1296, 5184, 8568, 6624, -152, -1686, 1085, -573, 114, -33, 14, -3, 1], 'lmfdb_label': '74529.x1', 'torsion': [2, 6]}
  • id: 3527393
    {'degree': 12, 'field': [8464, -16008, 26688, -7338, 2595, -2247, -95, 42, 6, 12, 15, -3, 1], 'lmfdb_label': '74529.x1', 'torsion': [3, 3]}
  • id: 3527395
    {'degree': 12, 'field': [195013, -306124, 112854, 32334, -19457, 1893, -1072, 780, 285, -8, 20, 0, 1], 'lmfdb_label': '74529.x1', 'torsion': [7]}
  • id: 3527398
    {'degree': 18, 'field': [-423900, -335880, 179784, -48588, -104418, 98328, 75573, -83709, -20751, 11422, 4971, 2067, -1062, -819, 219, 78, -21, -3, 1], 'lmfdb_label': '74529.x1', 'torsion': [6]}
  • id: 3527397
    {'degree': 18, 'field': [830584, 291588, 3101436, -966459, 3911451, -1838205, 2843826, -1155675, 1078542, -309602, 209919, -36099, 20793, -1734, 1341, -15, 57, 0, 1], 'lmfdb_label': '74529.x1', 'torsion': [9]}
• 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: 1809932
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '74529.x1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1809933
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '74529.x1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1809934
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '74529.x1', 'prime': 13, 'reduction_type': 0, '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

  
  {'conductor': 74529, 'elladic_image': '7.84.1.1', 'lmfdb_label': '74529.x1', 'modell_image': '7Ns.6.1.2', 'prime': 7}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3830230
    {'lmfdb_iso': '74529.x', 'p': 19, 'prec': 20, 'unit': 611721873250993002530352, 'val': 1}
  • id: 3830232
    {'lmfdb_iso': '74529.x', 'p': 31, 'prec': 20, 'unit': 13012560451725502656838221002, 'val': 1}
  • id: 3830226
    {'lmfdb_iso': '74529.x', 'p': 37, 'prec': 20, 'unit': 9006292276499360950551212496170, 'val': 0}
  • id: 3830228
    {'lmfdb_iso': '74529.x', 'p': 43, 'prec': 20, 'unit': 940489751104608374346299689779, 'val': 1}
  • id: 3830231
    {'lmfdb_iso': '74529.x', 'p': 61, 'prec': 20, 'unit': 3651802996933684690314667225282775, 'val': 1}
  • id: 3830225
    {'lmfdb_iso': '74529.x', 'p': 67, 'prec': 20, 'unit': 23372938712535061608006892500630009, 'val': 1}
  • id: 3830227
    {'lmfdb_iso': '74529.x', 'p': 73, 'prec': 20, 'unit': 97243673394240762658397102234063938, 'val': 1}
  • id: 3830229
    {'lmfdb_iso': '74529.x', 'p': 79, 'prec': 20, 'unit': 43838983259156356004572950525145606, 'val': 1}
  • id: 3830224
    {'lmfdb_iso': '74529.x', 'p': 97, 'prec': 20, 'unit': 20777443569442200206464674763937688845, 'val': 1}