Elliptic curve data - 21660.ba1

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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': '21660be', 'Clabel': '21660be1', 'Cnumber': 1, 'abc_quality': 1.0811686311616557, 'absD': 17985956343750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 30, 'ainvs': [0, 1, 0, 9190, -6440475], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 21660, 'degree': 126360, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7982541246381317387911696913', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [14859212843264, 3113912109375], 'lmfdb_iso': '21660.ba', 'lmfdb_label': '21660.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 9190, -6440475], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['30.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.28863327419933776566293844606', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0764652345904098923172544122', 'prec': 100}, 'szpiro_ratio': 4.495574668188667, '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, 1, 0, 1, 0, -2, 0, 1, 0, -2, 0, 0, 0, 1, 0, 1, 0, 0, 0], 'aplist': [0, 1, 1, -2, -2, 0, 1, 0, -8, 6, 3, -4, -4, 12, 1, -5, -10, 14, 6, -8, -2, 8, 11, 2, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 21660, 'isogeny_matrix': [[1]], 'lmfdb_iso': '21660.ba', 'trace_hash': 540361825492897335}
• 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': '0.027419296838792279870306899394', 'prec': 107}, 'conductor': 21660, 'gens': [[205, 2025, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.28863327419933776566293844606', 'prec': 103}], 'lmfdb_label': '21660.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18284075782011554700506991270', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1745494106448502185834760963235965220', 'prec': 130}, 'tamagawa_product': 117, 'torsion_generators': [], 'xcoord_integral_points': [205, 805, 197845]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [8, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '21660.ba1'}
• ec_torsion_growth •

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

  
  
  • id: 1101096
    {'degree': 3, 'field': [45, -6, -1, 1], 'lmfdb_label': '21660.ba1', 'torsion': [2]}
  • id: 1101097
    {'degree': 6, 'field': [115, 50, 164, 23, 8, -1, 1], 'lmfdb_label': '21660.ba1', 'torsion': [2, 2]}
  • id: 1101098
    {'degree': 8, 'field': [-192, 336, -300, -73, 40, -7, 7, -4, 1], 'lmfdb_label': '21660.ba1', 'torsion': [3]}
  • id: 1101099
    {'degree': 12, 'field': [5047015, -7972110, 1456800, 549550, -192939, 28374, 14076, -3576, -240, 4, -24, -6, 1], 'lmfdb_label': '21660.ba1', 'torsion': [4]}
• 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: 493769
    {'conductor': 21660, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '21660.ba1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 493770
    {'conductor': 21660, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '21660.ba1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 493771
    {'conductor': 21660, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '21660.ba1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 493772
    {'conductor': 21660, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '21660.ba1', 'prime': 19, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 1, 29, 0], [1, 0, 2, 1], [7, 2, 7, 3], [11, 2, 11, 3], [29, 2, 28, 3]], 'adelic_image': '30.2.0.?', 'conductor': 21660, 'lmfdb_label': '21660.ba1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1017169
    {'lmfdb_iso': '21660.ba', 'p': 7, 'prec': 20, 'unit': 2486999011887931, 'val': 1}
  • id: 1017167
    {'lmfdb_iso': '21660.ba', 'p': 11, 'prec': 20, 'unit': 36551686525272927214, 'val': 1}
  • id: 1017174
    {'lmfdb_iso': '21660.ba', 'p': 17, 'prec': 20, 'unit': 673656922763481962929608, 'val': -1}
  • id: 1017179
    {'lmfdb_iso': '21660.ba', 'p': 23, 'prec': 20, 'unit': 50908738176194695710597631, 'val': 1}
  • id: 1017172
    {'lmfdb_iso': '21660.ba', 'p': 29, 'prec': 20, 'unit': 4911185044950047027674325554, 'val': 1}
  • id: 1017184
    {'lmfdb_iso': '21660.ba', 'p': 31, 'prec': 20, 'unit': 14758682886300946764118859111, 'val': 1}
  • id: 1017168
    {'lmfdb_iso': '21660.ba', 'p': 37, 'prec': 20, 'unit': 318358396114845424542681252739, 'val': 1}
  • id: 1017170
    {'lmfdb_iso': '21660.ba', 'p': 41, 'prec': 20, 'unit': 3904636339098086632378696547487, 'val': 1}
  • id: 1017171
    {'lmfdb_iso': '21660.ba', 'p': 43, 'prec': 20, 'unit': 4815736433212303646192144778476, 'val': 1}
  • id: 1017182
    {'lmfdb_iso': '21660.ba', 'p': 47, 'prec': 20, 'unit': 732525407458737640902891988783815, 'val': -1}
  • id: 1017176
    {'lmfdb_iso': '21660.ba', 'p': 53, 'prec': 20, 'unit': 319290115193799498070840759487358, 'val': 1}
  • id: 1017177
    {'lmfdb_iso': '21660.ba', 'p': 59, 'prec': 20, 'unit': 208311582230542080655258409676140, 'val': 1}
  • id: 1017183
    {'lmfdb_iso': '21660.ba', 'p': 61, 'prec': 20, 'unit': 4745060744106940090228292634982999, 'val': 1}
  • id: 1017166
    {'lmfdb_iso': '21660.ba', 'p': 67, 'prec': 20, 'unit': 21000495590455579296321561099577746, 'val': 1}
  • id: 1017181
    {'lmfdb_iso': '21660.ba', 'p': 71, 'prec': 20, 'unit': 132578994501278794023152505330867649, 'val': 1}
  • id: 1017178
    {'lmfdb_iso': '21660.ba', 'p': 73, 'prec': 20, 'unit': 166285089138797394278166136186932180, 'val': 1}
  • id: 1017173
    {'lmfdb_iso': '21660.ba', 'p': 79, 'prec': 20, 'unit': 237893870185003950007812108186599329, 'val': 1}
  • id: 1017175
    {'lmfdb_iso': '21660.ba', 'p': 83, 'prec': 20, 'unit': 735104634871638297013395327134591192, 'val': 1}
  • id: 1017180
    {'lmfdb_iso': '21660.ba', 'p': 89, 'prec': 20, 'unit': 7442590796379461379453477254358156712, 'val': 1}
  • id: 1017165
    {'lmfdb_iso': '21660.ba', 'p': 97, 'prec': 20, 'unit': 32727413614273050635053896907372012573, 'val': 1}