Elliptic curve data - 9522.d3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9522e', 'Clabel': '9522e2', 'Cnumber': 2, 'abc_quality': 0.9444691501696788, 'absD': 18496741479431076, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 552, 'ainvs': [1, -1, 0, -81036, 6022012], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9522, 'degree': 67584, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8254939153958468863923839796', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [545338513, 171396], 'lmfdb_iso': '9522.d', 'lmfdb_label': '9522.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -17, 11], 'min_quad_twist_disc': 69, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.3', '92.12.0.?', '184.24.0.?', '276.24.0.?', '552.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3465416957144620032498267884', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4761], [3, 8, 1058], [23, 288, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29155933690278280470861505477', 'prec': 107}, 'szpiro_ratio': 4.968864379229652, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, 2, 0, 0, -1, 0, -2, 0, 0, -2, 0, 0, 1, 2, 0, 8, 2], 'aplist': [-1, 0, 2, 0, 0, -2, 2, 8, 0, 2, -8, -2, -10, -8, -8, 2, 4, -2, -8, 0, -6, -8, -16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 9522, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '9522.d', 'trace_hash': 788314698445149157}
• 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': '0.025965466618459653606420733749', 'prec': 107}, 'conductor': 9522, 'gens': [[1619, 48601, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3465416957144620032498267884', 'prec': 100}], 'lmfdb_label': '9522.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35820347543457893381033300535', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8302996339216145740312600385652415634', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-316, 158, 1], [236, -118, 1]], 'xcoord_integral_points': [-316, 236]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9522.d3'}
• ec_torsion_growth •

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

  
  
  • id: 495400
    {'degree': 4, 'field': [78, -6, 7, -2, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 4]}
  • id: 495399
    {'degree': 4, 'field': [223, 38, -37, -2, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 4]}
  • id: 495398
    {'degree': 4, 'field': [2116, 0, 46, 0, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 4]}
  • id: 495401
    {'degree': 8, 'field': [-25156, -6788, 1336, 1720, -82, 8, -13, -2, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 6]}
  • id: 495404
    {'degree': 16, 'field': [256, 0, -5632, 0, 13088, 0, -8832, 0, 1172, 0, -240, 0, 50, 0, -16, 0, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 8]}
  • id: 495405
    {'degree': 16, 'field': [2808, 4752, -2268, -5148, -3735, 498, 4522, -3286, 1870, 204, -26, 86, -2, -6, 10, -4, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 8]}
  • id: 495403
    {'degree': 16, 'field': [65536, 0, 65536, 0, 88064, 0, -30720, 0, 3392, 0, -1920, 0, 344, 0, 16, 0, 1], 'lmfdb_label': '9522.d3', 'torsion': [2, 8]}
  • id: 495402
    {'degree': 16, 'field': [1679616, 0, 0, 0, -63504, 0, 0, 0, 1105, 0, 0, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '9522.d3', '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: 200524
    {'conductor': 9522, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9522.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 200525
    {'conductor': 9522, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '9522.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 200526
    {'conductor': 9522, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '9522.d3', 'prime': 23, '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: 1726942
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [455, 366, 0, 551], [325, 372, 192, 379], [277, 372, 186, 193], [549, 4, 548, 5], [367, 0, 0, 551]], 'adelic_image': '552.48.0.?', 'conductor': 9522, 'lmfdb_label': '9522.d3', 'prime': 0}
  • id: 46152
    {'conductor': 9522, 'elladic_image': '8.12.0.3', 'lmfdb_label': '9522.d3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 399322
    {'lmfdb_iso': '9522.d', 'p': 5, 'prec': 20, 'unit': 7109697296096, 'val': 1}
  • id: 399327
    {'lmfdb_iso': '9522.d', 'p': 13, 'prec': 20, 'unit': 1180825916942951302591, 'val': 1}
  • id: 399329
    {'lmfdb_iso': '9522.d', 'p': 17, 'prec': 20, 'unit': 5452020201814966586701, 'val': 2}
  • id: 399330
    {'lmfdb_iso': '9522.d', 'p': 19, 'prec': 20, 'unit': 1810096269591100624709090, 'val': 1}
  • id: 399326
    {'lmfdb_iso': '9522.d', 'p': 29, 'prec': 20, 'unit': 1408966634496268248309121679, 'val': 1}
  • id: 399323
    {'lmfdb_iso': '9522.d', 'p': 31, 'prec': 20, 'unit': 420673123581241446163025735, 'val': 2}
  • id: 399337
    {'lmfdb_iso': '9522.d', 'p': 37, 'prec': 20, 'unit': 65556614707024086211780385544, 'val': 1}
  • id: 399324
    {'lmfdb_iso': '9522.d', 'p': 41, 'prec': 20, 'unit': 3228288610047062985416820010132, 'val': 1}
  • id: 399325
    {'lmfdb_iso': '9522.d', 'p': 43, 'prec': 20, 'unit': 2223070847326076761224115778291, 'val': 1}
  • id: 399335
    {'lmfdb_iso': '9522.d', 'p': 47, 'prec': 20, 'unit': 45837956061688099115482250491986, 'val': 1}
  • id: 399331
    {'lmfdb_iso': '9522.d', 'p': 53, 'prec': 20, 'unit': 20037614477094090030015278901767, 'val': 1}
  • id: 399332
    {'lmfdb_iso': '9522.d', 'p': 59, 'prec': 20, 'unit': 108179117688091903777509196857957, 'val': 1}
  • id: 399336
    {'lmfdb_iso': '9522.d', 'p': 61, 'prec': 20, 'unit': 389714246117265650852504034535318, 'val': 1}
  • id: 399321
    {'lmfdb_iso': '9522.d', 'p': 67, 'prec': 20, 'unit': 41847988914049953668121464189838129, 'val': 1}
  • id: 399333
    {'lmfdb_iso': '9522.d', 'p': 73, 'prec': 20, 'unit': 122171374101474112293498509537454359, 'val': 1}
  • id: 399328
    {'lmfdb_iso': '9522.d', 'p': 79, 'prec': 20, 'unit': 567966916588216906027213267284198895, 'val': 1}
  • id: 399320
    {'lmfdb_iso': '9522.d', 'p': 83, 'prec': 20, 'unit': 1879796591258281223932140633596680925, 'val': 1}
  • id: 399334
    {'lmfdb_iso': '9522.d', 'p': 89, 'prec': 20, 'unit': 2548567101589814548441190899396134011, 'val': 1}
  • id: 399319
    {'lmfdb_iso': '9522.d', 'p': 97, 'prec': 20, 'unit': 26820538025769554469791422898811230965, 'val': 1}