Elliptic curve data - 112896.ca1

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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': '112896bh', 'Clabel': '112896bh1', 'Cnumber': 1, 'abc_quality': 1.106715441314673, 'absD': 395210285568, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 336, 'ainvs': [0, 0, 0, -10290, 400624], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 112896, 'degree': 147456, 'elladic_images': ['8.24.0.130'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0905467944786064656303833939', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 52, 'isogeny_degrees': [1, 2], 'jinv': [2744000, 9], 'lmfdb_iso': '112896.ca', 'lmfdb_label': '112896.ca1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -23, 51], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.24.0.s.1', '12.12.0.n.1', '24.48.1.dl.1', '112.48.0.?', '336.96.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5692029327031701619237928723', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95157480980306401468283968738', 'prec': 107}, 'szpiro_ratio': 3.380577183216208, '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, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 0, 0, -4, -4, -2, 4, 8, 8, 4, -4, 6, 4, -8, 8, -12, -12, 12, -8, 6, -4, -4, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 112896, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '112896.ca', 'trace_hash': 4821185715596087}
• 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': '0.11291797724146490097928170861', 'prec': 103}, 'conductor': 112896, 'gens': [[63, 49, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5692029327031701619237928723', 'prec': 100}], 'lmfdb_label': '112896.ca1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.95266832567047863250359092811', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9797197221421355071574579473077176122', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[56, 0, 1]], 'xcoord_integral_points': [-70, 56, 63]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '112896.ca1'}
• ec_torsion_growth •

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

  
  
  • id: 5186458
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [2, 2]}
  • id: 5186459
    {'degree': 4, 'field': [882, 0, 0, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [4]}
  • id: 5186464
    {'degree': 8, 'field': [-7203, 0, 4116, 0, 0, 0, -28, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [6]}
  • id: 5186462
    {'degree': 8, 'field': [2739, -1416, 2176, -344, 418, -32, 32, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [8]}
  • id: 5186463
    {'degree': 8, 'field': [4722, -1728, -1760, 280, 388, -32, -28, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [8]}
  • id: 5186461
    {'degree': 8, 'field': [8233, 5768, -792, -112, -178, -56, -8, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [2, 4]}
  • id: 5186460
    {'degree': 8, 'field': [194481, 0, -37044, 0, 3528, 0, -84, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [2, 4]}
  • id: 5186467
    {'degree': 16, 'field': [674041, 0, -111883032, 0, 33480496, 0, -2831080, 0, 19530, 0, -3640, 0, 1456, 0, -72, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [2, 6]}
  • id: 5186465
    {'degree': 16, 'field': [5764801, 0, -3294172, 0, 941192, 0, -403368, 0, 112847, 0, -8232, 0, 392, 0, -28, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [4, 4]}
  • id: 5186466
    {'degree': 16, 'field': [79192201, 0, 42777120, 0, 11359876, 0, 1862928, 0, 211434, 0, 17856, 0, 1132, 0, 48, 0, 1], 'lmfdb_label': '112896.ca1', 'torsion': [2, 8]}
• 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: 2775267
    {'conductor': 112896, 'conductor_valuation': 8, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '112896.ca1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2775268
    {'conductor': 112896, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '112896.ca1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2775269
    {'conductor': 112896, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '112896.ca1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2402696
    {'adelic_gens': [[1, 16, 0, 1], [13, 8, 8, 5], [321, 16, 320, 17], [1, 0, 16, 1], [11, 8, 208, 243], [95, 0, 0, 335], [274, 301, 315, 106], [41, 182, 154, 195], [223, 182, 98, 195], [11, 12, 236, 227]], 'adelic_image': '336.96.1.?', 'conductor': 112896, 'lmfdb_label': '112896.ca1', 'prime': 0}
  • id: 446691
    {'conductor': 112896, 'elladic_image': '8.24.0.130', 'lmfdb_label': '112896.ca1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5892346
    {'lmfdb_iso': '112896.ca', 'p': 11, 'prec': 20, 'unit': 30078552347615730406, 'val': 1}
  • id: 5892352
    {'lmfdb_iso': '112896.ca', 'p': 13, 'prec': 20, 'unit': 1102036408844899954291, 'val': 1}
  • id: 5892354
    {'lmfdb_iso': '112896.ca', 'p': 17, 'prec': 20, 'unit': 116233097806953690512229, 'val': 1}
  • id: 5892355
    {'lmfdb_iso': '112896.ca', 'p': 19, 'prec': 20, 'unit': 376793494569346357116357, 'val': 1}
  • id: 5892359
    {'lmfdb_iso': '112896.ca', 'p': 23, 'prec': 20, 'unit': 54645205788830088030943722, 'val': 1}
  • id: 5892351
    {'lmfdb_iso': '112896.ca', 'p': 29, 'prec': 20, 'unit': 1441262320528712534998656261, 'val': 1}
  • id: 5892364
    {'lmfdb_iso': '112896.ca', 'p': 31, 'prec': 20, 'unit': 485733782309041375778867091, 'val': 1}
  • id: 5892347
    {'lmfdb_iso': '112896.ca', 'p': 37, 'prec': 20, 'unit': 293373399990283095315952971469, 'val': 1}
  • id: 5892349
    {'lmfdb_iso': '112896.ca', 'p': 41, 'prec': 20, 'unit': 1454766325652176030095228091567, 'val': 1}
  • id: 5892350
    {'lmfdb_iso': '112896.ca', 'p': 43, 'prec': 20, 'unit': 241496380043612669417110354782, 'val': 2}
  • id: 5892361
    {'lmfdb_iso': '112896.ca', 'p': 47, 'prec': 20, 'unit': 21965378605003150965916528259943, 'val': 1}
  • id: 5892356
    {'lmfdb_iso': '112896.ca', 'p': 53, 'prec': 20, 'unit': 53616300213192296548204371971646, 'val': 1}
  • id: 5892357
    {'lmfdb_iso': '112896.ca', 'p': 59, 'prec': 20, 'unit': 3738431768568659558993515380347036, 'val': 1}
  • id: 5892362
    {'lmfdb_iso': '112896.ca', 'p': 61, 'prec': 20, 'unit': 7813460432680128984146429015241424, 'val': 1}
  • id: 5892345
    {'lmfdb_iso': '112896.ca', 'p': 67, 'prec': 20, 'unit': 25099048496251835397363716208419147, 'val': 1}
  • id: 5892348
    {'lmfdb_iso': '112896.ca', 'p': 71, 'prec': 20, 'unit': 44260072192000836737720610835557998, 'val': 1}
  • id: 5892358
    {'lmfdb_iso': '112896.ca', 'p': 73, 'prec': 20, 'unit': 49736283364282999813286835110507606, 'val': 1}
  • id: 5892353
    {'lmfdb_iso': '112896.ca', 'p': 79, 'prec': 20, 'unit': 339302318827084247776025208035353304, 'val': 1}
  • id: 5892363
    {'lmfdb_iso': '112896.ca', 'p': 83, 'prec': 20, 'unit': 1572706560877103960588832740351104220, 'val': 1}
  • id: 5892360
    {'lmfdb_iso': '112896.ca', 'p': 89, 'prec': 20, 'unit': 2215181020660592020932872900249335087, 'val': 1}
  • id: 5892344
    {'lmfdb_iso': '112896.ca', 'p': 97, 'prec': 20, 'unit': 36549338779840650462166857282365042956, 'val': 1}