Elliptic curve data - 66300.bc2

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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': '66300bf', 'Clabel': '66300bf2', 'Cnumber': 2, 'abc_quality': 0.9456866456199285, 'absD': 429266601562500000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, -1345908, -1164436812], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 66300, 'degree': 2211840, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6502430693972108735008806691', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [-67407802159923664, 107316650390625], 'lmfdb_iso': '66300.bc', 'lmfdb_label': '66300.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -53836, -9293960], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '520.24.0.?', '2040.12.0.?', '5304.24.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.331264533350990628931231642', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 22100], [5, 18, 2652], [13, 14, 5100], [17, 18, 3900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3834259928068638132556795882', 'prec': 100}, 'szpiro_ratio': 4.97871145250841, '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, 0, 1, 0, 0, 0, -2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, -2, 0], 'aplist': [0, 1, 0, -2, 2, 1, 1, -2, -4, 2, 10, -6, 2, 8, -2, -6, -10, -2, 14, -2, -14, 12, -14, -10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 66300, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '66300.bc', 'trace_hash': 1869089304833596593}
• 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': '0.0049891678892045078755219814417', 'prec': 110}, 'conductor': 66300, 'gens': [[11591493, 39417543969, 22]], 'heights': [{'__RealLiteral__': 0, 'data': '14.331264533350990628931231642', 'prec': 100}], 'lmfdb_label': '66300.bc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.066395804222498916809863388168', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6122866737377173775244999979690573726', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1463, 0, 1]], 'xcoord_integral_points': [1463]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [2, 0], '19': [3, 0], '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': '66300.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 3163225
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '66300.bc2', 'torsion': [2, 2]}
  • id: 3163226
    {'degree': 4, 'field': [-25, 0, -15, 0, 1], 'lmfdb_label': '66300.bc2', 'torsion': [4]}
  • id: 3163229
    {'degree': 8, 'field': [-3354, -4836, 4602, 467, -230, -7, 7, -4, 1], 'lmfdb_label': '66300.bc2', 'torsion': [6]}
  • id: 3163227
    {'degree': 8, 'field': [81, 198, 242, 202, 118, 42, 2, -2, 1], 'lmfdb_label': '66300.bc2', 'torsion': [2, 4]}
  • id: 3163228
    {'degree': 8, 'field': [1240369, -691964, 145126, 272488, 44772, 752, 94, -4, 1], 'lmfdb_label': '66300.bc2', 'torsion': [2, 4]}
  • id: 3163232
    {'degree': 16, 'field': [11249316, 0, 54257112, 0, 27238068, 0, 2449669, 0, 78470, 0, -9671, 0, -467, 0, 2, 0, 1], 'lmfdb_label': '66300.bc2', 'torsion': [2, 6]}
  • id: 3163231
    {'degree': 16, 'field': [129917714481, 0, -2077713224, 0, 901465086, 0, -23152080, 0, 4000115, 0, -60160, 0, -7314, 0, 24, 0, 1], 'lmfdb_label': '66300.bc2', 'torsion': [8]}
  • id: 3163230
    {'degree': 16, 'field': [36363541187961, 15604566552432, 3348168100992, 1425115041012, 644967981694, 104420259196, 13349857736, 3713474144, 864467511, 50406716, 711832, 41104, 72798, 1708, 8, -4, 1], 'lmfdb_label': '66300.bc2', 'torsion': [4, 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: 1603211
    {'conductor': 66300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '66300.bc2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1603212
    {'conductor': 66300, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '66300.bc2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1603213
    {'conductor': 66300, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '66300.bc2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1603214
    {'conductor': 66300, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '66300.bc2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1603215
    {'conductor': 66300, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '66300.bc2', 'prime': 17, '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: 2103106
    {'adelic_gens': [[13261, 8, 2, 17], [26513, 8, 26512, 9], [17681, 8, 8842, 17], [5303, 26516, 0, 26519], [1, 0, 8, 1], [5, 8, 48, 77], [19891, 4, 23207, 9], [3, 8, 10, 27], [12481, 8, 24962, 17], [24481, 6, 0, 1], [1, 8, 0, 1]], 'adelic_image': '26520.48.0.?', 'conductor': 66300, 'lmfdb_label': '66300.bc2', 'prime': 0}
  • id: 277579
    {'conductor': 66300, 'elladic_image': '4.6.0.5', 'lmfdb_label': '66300.bc2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3387332
    {'lmfdb_iso': '66300.bc', 'p': 7, 'prec': 20, 'unit': 256656497549644, 'val': 1}
  • id: 3387337
    {'lmfdb_iso': '66300.bc', 'p': 11, 'prec': 20, 'unit': 4147704021416689102, 'val': 1}
  • id: 3387339
    {'lmfdb_iso': '66300.bc', 'p': 19, 'prec': 20, 'unit': 89324486412957215972290, 'val': 2}
  • id: 3387342
    {'lmfdb_iso': '66300.bc', 'p': 23, 'prec': 20, 'unit': 41949142646333147955980020, 'val': 1}
  • id: 3387335
    {'lmfdb_iso': '66300.bc', 'p': 29, 'prec': 20, 'unit': 3097068581936112897760916770, 'val': 1}
  • id: 3387347
    {'lmfdb_iso': '66300.bc', 'p': 31, 'prec': 20, 'unit': 14475196953235450389915136315, 'val': 1}
  • id: 3387331
    {'lmfdb_iso': '66300.bc', 'p': 37, 'prec': 20, 'unit': 55779021140384309676805115330, 'val': 1}
  • id: 3387333
    {'lmfdb_iso': '66300.bc', 'p': 41, 'prec': 20, 'unit': 1220220733634536307313822288443, 'val': 1}
  • id: 3387334
    {'lmfdb_iso': '66300.bc', 'p': 43, 'prec': 20, 'unit': 3849057003248027524006093880666, 'val': 1}
  • id: 3387345
    {'lmfdb_iso': '66300.bc', 'p': 47, 'prec': 20, 'unit': 51605920160230924000956129785910, 'val': 1}
  • id: 3387340
    {'lmfdb_iso': '66300.bc', 'p': 53, 'prec': 20, 'unit': 346213932861816719582989489999261, 'val': 1}
  • id: 3387338
    {'lmfdb_iso': '66300.bc', 'p': 59, 'prec': 20, 'unit': 755310331126728811183292456101397, 'val': 1}
  • id: 3387346
    {'lmfdb_iso': '66300.bc', 'p': 61, 'prec': 20, 'unit': 8084969922590817189628864119034983, 'val': 1}
  • id: 3387330
    {'lmfdb_iso': '66300.bc', 'p': 67, 'prec': 20, 'unit': 17152025605247995862867411351202489, 'val': 1}
  • id: 3387344
    {'lmfdb_iso': '66300.bc', 'p': 71, 'prec': 20, 'unit': 41249293091588200622377625907351331, 'val': 1}
  • id: 3387341
    {'lmfdb_iso': '66300.bc', 'p': 73, 'prec': 20, 'unit': 68773610782525848086809406373050507, 'val': 1}
  • id: 3387336
    {'lmfdb_iso': '66300.bc', 'p': 79, 'prec': 20, 'unit': 115957885257553691469535423923388109, 'val': 1}
  • id: 3387329
    {'lmfdb_iso': '66300.bc', 'p': 83, 'prec': 20, 'unit': 942680577010020180700085405140984614, 'val': 1}
  • id: 3387343
    {'lmfdb_iso': '66300.bc', 'p': 89, 'prec': 20, 'unit': 5384097395240824517946990398055588145, 'val': 1}
  • id: 3387328
    {'lmfdb_iso': '66300.bc', 'p': 97, 'prec': 20, 'unit': 14083445861817151385411316626202734102, 'val': 1}