Elliptic curve data - 990.h2

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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': '990j', 'Clabel': '990j2', 'Cnumber': 2, 'abc_quality': 0.9457647825784831, 'absD': 7938810000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 132, 'ainvs': [1, -1, 1, -923, -9669], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 990, 'degree': 1024, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.63872595016917595915562197302', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [119168121961, 10890000], 'lmfdb_iso': '990.h', 'lmfdb_label': '990.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -102, 324], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '12.24.0-12.a.1.2', '44.24.0-44.b.1.3', '132.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.88151937972339761930569567177', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 110], [5, 6, 198], [11, 12, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.089419805835121113457999354559', 'prec': 107}, 'szpiro_ratio': 4.653065783363132, '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, -1, 0, -4, 1, 0, -1, -1, 0, -2, -4, 0, 1, 2, 0, -8, -1], 'aplist': [1, 0, -1, -4, -1, -2, 2, -8, 0, -2, -8, -10, 10, 0, 0, -14, 4, 14, -4, -8, 10, 12, -4, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 990, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '990.h', 'trace_hash': 1528028171157014439}
• 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': '0.27874667059349450518964227089', 'prec': 103}, 'conductor': 990, 'gens': [[-19, 36, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.88151937972339761930569567177', 'prec': 103}], 'lmfdb_label': '990.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.87130108211078664719939227597', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0722751578185031317524795708101223442', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-13, 6, 1], [35, -18, 1]], 'xcoord_integral_points': [-19, -15, -13, 35, 51, 53, 185, 80837]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': [1, 0], '19': [3, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '990.h2'}
• ec_torsion_growth •

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

  
  
  • id: 48336
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 4]}
  • id: 48337
    {'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 4]}
  • id: 48338
    {'degree': 4, 'field': [64, 0, 17, 0, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 4]}
  • id: 48341
    {'degree': 8, 'field': [-358, 644, -428, -407, 142, 71, -19, -4, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 6]}
  • id: 48340
    {'degree': 8, 'field': [16, 0, -184, 0, -3, 0, 14, 0, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 8]}
  • id: 48339
    {'degree': 8, 'field': [81, 0, 45, 0, 16, 0, 5, 0, 1], 'lmfdb_label': '990.h2', 'torsion': [4, 4]}
  • id: 48344
    {'degree': 16, 'field': [2304, 0, 16512, 0, 23524, 0, 8256, 0, -8736, 0, -4472, 0, -336, 0, 0, 0, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 12]}
  • id: 48342
    {'degree': 16, 'field': [4096, 0, -10752, 0, 11968, 0, -6720, 0, 2208, 0, -480, 0, 88, 0, -12, 0, 1], 'lmfdb_label': '990.h2', 'torsion': [2, 8]}
  • id: 48343
    {'degree': 16, 'field': [65536, 0, 0, 0, 751888, 0, 0, 0, 20808, 0, 0, 0, -167, 0, 0, 0, 1], 'lmfdb_label': '990.h2', '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: 13821
    {'conductor': 990, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '990.h2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 13822
    {'conductor': 990, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '990.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 13823
    {'conductor': 990, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '990.h2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 13824
    {'conductor': 990, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '990.h2', 'prime': 11, '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: 1670835
    {'adelic_gens': [[43, 128, 86, 123], [39, 2, 106, 131], [67, 4, 0, 1], [1, 4, 0, 1], [129, 4, 128, 5], [1, 0, 4, 1]], 'adelic_image': '132.48.0.?', 'conductor': 990, 'lmfdb_label': '990.h2', 'prime': 0}
  • id: 4660
    {'conductor': 990, 'elladic_image': '4.12.0.1', 'lmfdb_label': '990.h2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 22250
    {'lmfdb_iso': '990.h', 'p': 7, 'prec': 20, 'unit': 7211425586783619, 'val': 1}
  • id: 22254
    {'lmfdb_iso': '990.h', 'p': 13, 'prec': 20, 'unit': 13721038413515388699, 'val': 2}
  • id: 22256
    {'lmfdb_iso': '990.h', 'p': 17, 'prec': 20, 'unit': 211243945169322007897645, 'val': 1}
  • id: 22246
    {'lmfdb_iso': '990.h', 'p': 19, 'prec': 20, 'unit': 67717230894375115047360, 'val': 2}
  • id: 22253
    {'lmfdb_iso': '990.h', 'p': 29, 'prec': 20, 'unit': 3406697495920693691009786417, 'val': 1}
  • id: 22263
    {'lmfdb_iso': '990.h', 'p': 31, 'prec': 20, 'unit': 13226281250754028681896178486, 'val': 1}
  • id: 22249
    {'lmfdb_iso': '990.h', 'p': 37, 'prec': 20, 'unit': 58185275765634363577328566051, 'val': 1}
  • id: 22251
    {'lmfdb_iso': '990.h', 'p': 41, 'prec': 20, 'unit': 1718903543085125593732340129628, 'val': 1}
  • id: 22258
    {'lmfdb_iso': '990.h', 'p': 53, 'prec': 20, 'unit': 536026239945353330844909368237924, 'val': 1}
  • id: 22261
    {'lmfdb_iso': '990.h', 'p': 59, 'prec': 20, 'unit': 4373494492321510446332850416312970, 'val': 1}
  • id: 22262
    {'lmfdb_iso': '990.h', 'p': 61, 'prec': 20, 'unit': 4895926630666193170098781279136409, 'val': 1}
  • id: 22248
    {'lmfdb_iso': '990.h', 'p': 67, 'prec': 20, 'unit': 25970354584749357074572687321439787, 'val': 1}
  • id: 22252
    {'lmfdb_iso': '990.h', 'p': 71, 'prec': 20, 'unit': 14006135971805415702442760131988854, 'val': 1}
  • id: 22259
    {'lmfdb_iso': '990.h', 'p': 73, 'prec': 20, 'unit': 125755534681572734844772911882191855, 'val': 1}
  • id: 22255
    {'lmfdb_iso': '990.h', 'p': 79, 'prec': 20, 'unit': 745852004761136072518426592357517874, 'val': 1}
  • id: 22257
    {'lmfdb_iso': '990.h', 'p': 83, 'prec': 20, 'unit': 2086817101996745655609524683362496714, 'val': 1}
  • id: 22260
    {'lmfdb_iso': '990.h', 'p': 89, 'prec': 20, 'unit': 365728319288879303418312354571606078, 'val': 1}
  • id: 22247
    {'lmfdb_iso': '990.h', 'p': 97, 'prec': 20, 'unit': 44200065374029849269333209849695973690, 'val': 1}