Elliptic curve data - 10192.d1

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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': '10192z', 'Clabel': '10192z2', 'Cnumber': 2, 'abc_quality': 0.846144036096575, 'absD': 27559168, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1092, 'ainvs': [0, 1, 0, -268, -1800], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 10192, 'degree': 2592, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23670495966517680806499538966', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-170338000, 2197], 'lmfdb_iso': '10192.d', 'lmfdb_label': '10192.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -268, 1800], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '52.2.0.a.1', '84.8.0.?', '156.8.0.?', '546.8.0.?', '1092.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1974422683725508411497096377', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54971151888400561573071814855', 'prec': 107}, 'szpiro_ratio': 3.0784735670891785, '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, -2, 0, 0, 0, 0, 0, 1, 0, 3, 0, -1, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, -2, 0, 0, 3, -1, -3, 5, 0, -9, 8, 2, 6, -8, -9, -3, 9, 7, -5, -3, -2, 10, -12, -6, 16], 'class_deg': 3, 'class_size': 2, 'conductor': 10192, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '10192.d', 'trace_hash': 47943186113350344}
• 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': '0.62287469046247945581011763877', 'prec': 103}, 'conductor': 10192, 'gens': [[171, 2232, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1974422683725508411497096377', 'prec': 100}], 'lmfdb_label': '10192.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58934217904206271388223813640', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0630719518880004235654581070913771233', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [171]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 1], '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10192.d1'}
• ec_torsion_growth •

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

  
  
  • id: 528283
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '10192.d1', 'torsion': [3]}
  • id: 528284
    {'degree': 3, 'field': [8, 12, -1, 1], 'lmfdb_label': '10192.d1', 'torsion': [2]}
  • id: 528286
    {'degree': 6, 'field': [-112, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10192.d1', 'torsion': [3]}
  • id: 528285
    {'degree': 6, 'field': [13, 0, 55, 0, -5, 0, 1], 'lmfdb_label': '10192.d1', 'torsion': [2, 2]}
  • id: 528287
    {'degree': 6, 'field': [148, -116, 93, -22, 18, -2, 1], 'lmfdb_label': '10192.d1', 'torsion': [6]}
  • id: 528288
    {'degree': 12, 'field': [-2323, 55998, 40165, 11506, -3393, 2792, 580, -628, 351, -110, 33, -6, 1], 'lmfdb_label': '10192.d1', 'torsion': [4]}
  • id: 528289
    {'degree': 12, 'field': [12321, 666, 1701, -4530, 1770, 546, -83, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '10192.d1', 'torsion': [3, 3]}
  • id: 528290
    {'degree': 12, 'field': [14400, -18720, 21672, -13656, 12346, -5390, 3739, -1064, 633, -118, 49, -4, 1], 'lmfdb_label': '10192.d1', 'torsion': [2, 6]}
  • id: 528292
    {'degree': 18, 'field': [321924, -225456, -483252, 171448, 98196, -149016, 68364, 18648, -17388, 3172, 5796, -1932, -1571, 252, 231, -12, -21, 0, 1], 'lmfdb_label': '10192.d1', 'torsion': [6]}
  • id: 528291
    {'degree': 18, 'field': [11520222813, -9992700432, 6451901100, -1579130046, 289403415, 158969304, -31749549, 3387384, 7794747, -640848, 297834, 158574, 9280, -468, 1383, -26, -33, 0, 1], 'lmfdb_label': '10192.d1', '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: 215958
    {'conductor': 10192, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '10192.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 215959
    {'conductor': 10192, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '10192.d1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 215960
    {'conductor': 10192, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10192.d1', 'prime': 13, '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: 1731395
    {'adelic_gens': [[4, 3, 9, 7], [471, 2, 478, 7], [925, 6, 591, 19], [545, 1086, 543, 1073], [458, 639, 283, 7], [1087, 6, 1086, 7], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1092.16.0.?', 'conductor': 10192, 'lmfdb_label': '10192.d1', 'prime': 0}
  • id: 49135
    {'conductor': 10192, 'elladic_image': '3.4.0.1', 'lmfdb_label': '10192.d1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 432506
    {'lmfdb_iso': '10192.d', 'p': 11, 'prec': 20, 'unit': 52277522437490784404, 'val': 1}
  • id: 432507
    {'lmfdb_iso': '10192.d', 'p': 17, 'prec': 20, 'unit': 78344156539274499226457, 'val': 1}
  • id: 432508
    {'lmfdb_iso': '10192.d', 'p': 19, 'prec': 20, 'unit': 1156154696192310258505006, 'val': 1}
  • id: 432504
    {'lmfdb_iso': '10192.d', 'p': 29, 'prec': 20, 'unit': 2421711549257406732986433866, 'val': 1}
  • id: 432515
    {'lmfdb_iso': '10192.d', 'p': 31, 'prec': 20, 'unit': 3162576354156673076959617787, 'val': 1}
  • id: 432500
    {'lmfdb_iso': '10192.d', 'p': 37, 'prec': 20, 'unit': 2024764679239945983575225338, 'val': 2}
  • id: 432502
    {'lmfdb_iso': '10192.d', 'p': 41, 'prec': 20, 'unit': 754565036592162925008407933303, 'val': 1}
  • id: 432503
    {'lmfdb_iso': '10192.d', 'p': 43, 'prec': 20, 'unit': 6356181655441713405695588395202, 'val': 1}
  • id: 432513
    {'lmfdb_iso': '10192.d', 'p': 47, 'prec': 20, 'unit': 33575561700849660538177270178302, 'val': 1}
  • id: 432509
    {'lmfdb_iso': '10192.d', 'p': 53, 'prec': 20, 'unit': 386129067083853603788232274590137, 'val': 1}
  • id: 432510
    {'lmfdb_iso': '10192.d', 'p': 59, 'prec': 20, 'unit': 1097896437635433792737760635744820, 'val': 1}
  • id: 432514
    {'lmfdb_iso': '10192.d', 'p': 61, 'prec': 20, 'unit': 6432028454311215079445348660479355, 'val': 1}
  • id: 432499
    {'lmfdb_iso': '10192.d', 'p': 67, 'prec': 20, 'unit': 4329467549518981003331410961957696, 'val': 1}
  • id: 432501
    {'lmfdb_iso': '10192.d', 'p': 71, 'prec': 20, 'unit': 123770009345317049437417517573421333, 'val': 1}
  • id: 432511
    {'lmfdb_iso': '10192.d', 'p': 73, 'prec': 20, 'unit': 250711825629131831716749291857526628, 'val': 1}
  • id: 432505
    {'lmfdb_iso': '10192.d', 'p': 79, 'prec': 20, 'unit': 286030921918152927502175367580554772, 'val': 1}
  • id: 432498
    {'lmfdb_iso': '10192.d', 'p': 83, 'prec': 20, 'unit': 1924847285324924599314754359555987, 'val': 1}
  • id: 432512
    {'lmfdb_iso': '10192.d', 'p': 89, 'prec': 20, 'unit': 9972904422523463745879653442043403862, 'val': 1}
  • id: 432497
    {'lmfdb_iso': '10192.d', 'p': 97, 'prec': 20, 'unit': 53250706439466577711317737042084701598, 'val': 1}