Elliptic curve data - 36032.g1

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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': '36032b', 'Clabel': '36032b1', 'Cnumber': 1, 'abc_quality': 0.8033429675359819, 'absD': 147587072, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1126, 'ainvs': [0, 1, 0, -961, 11167], 'analytic_rank': 1, 'bad_primes': [2, 563], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 36032, 'degree': 26624, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.46804087609863210491076143057', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-374805361, 563], 'lmfdb_iso': '36032.g', 'lmfdb_label': '36032.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -15, 16], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['1126.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0622284797078305019695819294', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 563], [563, 564, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57167989474128585921508675162', 'prec': 107}, 'szpiro_ratio': 3.070974005671379, '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, 1, 0, 4, 0, -5, 0, -2, 0, 4, 0, -2, 0, 4, 0, -3, 0, 3, 0], 'aplist': [0, 1, 4, -5, 4, -2, -3, 3, -3, -2, -2, 6, -10, 8, -3, -2, 3, 1, 3, 1, 6, -12, 8, -14, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 36032, 'isogeny_matrix': [[1]], 'lmfdb_iso': '36032.g', 'trace_hash': 664533537287651488}
• 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': '0.39216141452565950625019730991', 'prec': 103}, 'conductor': 36032, 'gens': [[18, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0622284797078305019695819294', 'prec': 100}], 'lmfdb_label': '36032.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8297126969391304746080445818', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5465712666217949019360763128219794082', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [18]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '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': [1, 0], '47': [1, 0], '563': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '36032.g1'}
• ec_torsion_growth •

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

  
  
  • id: 1786248
    {'degree': 3, 'field': [-4, 5, -1, 1], 'lmfdb_label': '36032.g1', 'torsion': [2]}
  • id: 1786249
    {'degree': 6, 'field': [143, 268, 158, 12, -8, -2, 1], 'lmfdb_label': '36032.g1', 'torsion': [2, 2]}
  • id: 1786250
    {'degree': 8, 'field': [-34992, 0, 1208, 0, -648, 0, 0, 0, 1], 'lmfdb_label': '36032.g1', 'torsion': [3]}
  • id: 1786251
    {'degree': 12, 'field': [-9008, 0, 32186, 0, 22921, 0, 1210, 0, 359, 0, 0, 0, 1], 'lmfdb_label': '36032.g1', 'torsion': [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: 848336
    {'conductor': 36032, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '36032.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 848337
    {'conductor': 36032, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '36032.g1', 'prime': 563, '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

  
  {'adelic_gens': [[1125, 2, 1124, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 1125, 0], [565, 2, 565, 3]], 'adelic_image': '1126.2.0.?', 'conductor': 36032, 'lmfdb_label': '36032.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1771141
    {'lmfdb_iso': '36032.g', 'p': 5, 'prec': 20, 'unit': 18818928384862, 'val': 1}
  • id: 1771142
    {'lmfdb_iso': '36032.g', 'p': 7, 'prec': 20, 'unit': 4458955852782297, 'val': 1}
  • id: 1771143
    {'lmfdb_iso': '36032.g', 'p': 11, 'prec': 20, 'unit': 20366337037930296159, 'val': 1}
  • id: 1771144
    {'lmfdb_iso': '36032.g', 'p': 13, 'prec': 20, 'unit': 1257322551578464726939, 'val': 1}
  • id: 1771145
    {'lmfdb_iso': '36032.g', 'p': 17, 'prec': 20, 'unit': 162356725206073253934261, 'val': 1}
  • id: 1771146
    {'lmfdb_iso': '36032.g', 'p': 19, 'prec': 20, 'unit': 384278697284353929169406, 'val': 1}
  • id: 1771147
    {'lmfdb_iso': '36032.g', 'p': 23, 'prec': 20, 'unit': 60902836093167071195268034, 'val': 1}
  • id: 1771148
    {'lmfdb_iso': '36032.g', 'p': 29, 'prec': 20, 'unit': 3488524724088779535136676297, 'val': 1}
  • id: 1771149
    {'lmfdb_iso': '36032.g', 'p': 31, 'prec': 20, 'unit': 16415794250563785460175376845, 'val': 1}
  • id: 1771150
    {'lmfdb_iso': '36032.g', 'p': 37, 'prec': 20, 'unit': 403401992067250331175552754675, 'val': 1}
  • id: 1771151
    {'lmfdb_iso': '36032.g', 'p': 41, 'prec': 20, 'unit': 3132110598750389405869577170988, 'val': 1}
  • id: 1771152
    {'lmfdb_iso': '36032.g', 'p': 43, 'prec': 20, 'unit': 5264244813783179053324174799627, 'val': 1}
  • id: 1771153
    {'lmfdb_iso': '36032.g', 'p': 47, 'prec': 20, 'unit': 23558141882862403837239629506928, 'val': 1}
  • id: 1771154
    {'lmfdb_iso': '36032.g', 'p': 53, 'prec': 20, 'unit': 9821912608163768078383558533970, 'val': 1}
  • id: 1771155
    {'lmfdb_iso': '36032.g', 'p': 59, 'prec': 20, 'unit': 1135262285438866580448399991002345, 'val': 1}
  • id: 1771156
    {'lmfdb_iso': '36032.g', 'p': 61, 'prec': 20, 'unit': 220172705767930726010259396359978451, 'val': -1}
  • id: 1771157
    {'lmfdb_iso': '36032.g', 'p': 67, 'prec': 20, 'unit': 29208619312937650741488424965192577, 'val': 1}
  • id: 1771158
    {'lmfdb_iso': '36032.g', 'p': 71, 'prec': 20, 'unit': 6803045670560030218726491007887913936, 'val': -1}
  • id: 1771159
    {'lmfdb_iso': '36032.g', 'p': 73, 'prec': 20, 'unit': 118817230968925531868179811104848994, 'val': 1}
  • id: 1771160
    {'lmfdb_iso': '36032.g', 'p': 79, 'prec': 20, 'unit': 1009154110992091959259295222489032148, 'val': 1}
  • id: 1771161
    {'lmfdb_iso': '36032.g', 'p': 83, 'prec': 20, 'unit': 2721079249221777772910134234126235875, 'val': 1}
  • id: 1771162
    {'lmfdb_iso': '36032.g', 'p': 89, 'prec': 20, 'unit': 10539000650523825806703115006772229138, 'val': 1}
  • id: 1771163
    {'lmfdb_iso': '36032.g', 'p': 97, 'prec': 20, 'unit': 13316570680608160115300663437317096239, 'val': 1}