Elliptic curve data - 80016.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': '80016c', 'Clabel': '80016c1', 'Cnumber': 1, 'abc_quality': 0.8369601570850598, 'absD': 1310982144, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 40008, 'ainvs': [0, 1, 0, -1624, 24596], 'analytic_rank': 1, 'bad_primes': [2, 3, 1667], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 80016, 'degree': 36864, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62234010618830805545328059257', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [115714886617, 320064], 'lmfdb_iso': '80016.d', 'lmfdb_label': '80016.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -101, -435], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '10002.6.0.?', '40008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7100294382722775749166719243', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.070807074371637253963951528888', 'prec': 110}, 'szpiro_ratio': 2.993110317938607, '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, 1, 0, -2, 0, 2, 0, 1, 0, 0, 0, -2, 0, -2, 0, 6, 0, -4, 0], 'aplist': [0, 1, -2, 2, 0, -2, 6, -4, -2, 2, -8, 0, 6, -4, -2, -4, 4, -6, 0, 10, 14, -2, 12, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 80016, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '80016.d', 'trace_hash': 2039327860639954682}
• 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': '0.28803300279403832000771293025', 'prec': 103}, 'conductor': 80016, 'gens': [[100, 2422, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7100294382722775749166719243', 'prec': 100}], 'lmfdb_label': '80016.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5317901642908170492415306430', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2147767670656768062142190347398468388', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[22, 0, 1]], 'xcoord_integral_points': [22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '1667': 'o?'}, 'iwp0': 0, 'lmfdb_label': '80016.d1'}
• ec_torsion_growth •

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

  
  
  • id: 3769551
    {'degree': 2, 'field': [-1250, -1, 1], 'lmfdb_label': '80016.d1', 'torsion': [2, 2]}
  • id: 3769552
    {'degree': 4, 'field': [1217, -32, 68, 0, 1], 'lmfdb_label': '80016.d1', 'torsion': [4]}
  • id: 3769555
    {'degree': 8, 'field': [-12, 0, -67, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '80016.d1', 'torsion': [6]}
  • id: 3769554
    {'degree': 8, 'field': [100, 0, 38748, 0, 3989, 0, -126, 0, 1], 'lmfdb_label': '80016.d1', 'torsion': [2, 4]}
  • id: 3769553
    {'degree': 8, 'field': [16384, 0, 1323116, 0, -35775, 0, 134, 0, 1], 'lmfdb_label': '80016.d1', 'torsion': [2, 4]}
  • id: 3769557
    {'degree': 16, 'field': [36864, 0, 64127040, 0, -74626112, 0, -144697488, 0, -64465971, 0, 2681608, 0, -29910, 0, 0, 0, 1], 'lmfdb_label': '80016.d1', 'torsion': [2, 6]}
  • id: 3769556
    {'degree': 16, 'field': [187878035601, 0, 19737533880, 0, 1002036888, 0, 43920984, 0, 1588866, 0, -38696, 0, 3672, 0, -72, 0, 1], 'lmfdb_label': '80016.d1', 'torsion': [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: 1947727
    {'conductor': 80016, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '80016.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1947728
    {'conductor': 80016, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '80016.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1947729
    {'conductor': 80016, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '80016.d1', 'prime': 1667, '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: 2191881
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [25009, 15004, 5000, 35007], [26674, 1, 26671, 0], [40005, 4, 40004, 5], [20005, 4, 2, 9], [3338, 1, 18335, 0]], 'adelic_image': '40008.12.0.?', 'conductor': 80016, 'lmfdb_label': '80016.d1', 'prime': 0}
  • id: 328979
    {'conductor': 80016, 'elladic_image': '8.6.0.4', 'lmfdb_label': '80016.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4123230
    {'lmfdb_iso': '80016.d', 'p': 5, 'prec': 20, 'unit': 13793352674114, 'val': 1}
  • id: 4123231
    {'lmfdb_iso': '80016.d', 'p': 7, 'prec': 20, 'unit': 10337151731005215, 'val': 1}
  • id: 4123235
    {'lmfdb_iso': '80016.d', 'p': 13, 'prec': 20, 'unit': 409333066414307257133, 'val': 1}
  • id: 4123237
    {'lmfdb_iso': '80016.d', 'p': 17, 'prec': 20, 'unit': 50652647913162705227526, 'val': 1}
  • id: 4123238
    {'lmfdb_iso': '80016.d', 'p': 19, 'prec': 20, 'unit': 1760170748229593673768320, 'val': 1}
  • id: 4123241
    {'lmfdb_iso': '80016.d', 'p': 23, 'prec': 20, 'unit': 62613368303814099224980852, 'val': 1}
  • id: 4123234
    {'lmfdb_iso': '80016.d', 'p': 29, 'prec': 20, 'unit': 1132044213340209924020633537, 'val': 1}
  • id: 4123246
    {'lmfdb_iso': '80016.d', 'p': 31, 'prec': 20, 'unit': 19563857937175991382883275557, 'val': 1}
  • id: 4123232
    {'lmfdb_iso': '80016.d', 'p': 41, 'prec': 20, 'unit': 3390287927239968061205810967696, 'val': 1}
  • id: 4123233
    {'lmfdb_iso': '80016.d', 'p': 43, 'prec': 20, 'unit': 4439115702240612526943761772957, 'val': 1}
  • id: 4123244
    {'lmfdb_iso': '80016.d', 'p': 47, 'prec': 20, 'unit': 31295269561772985057239131981141, 'val': 1}
  • id: 4123239
    {'lmfdb_iso': '80016.d', 'p': 53, 'prec': 20, 'unit': 144976052935652305675781594038228, 'val': 1}
  • id: 4123229
    {'lmfdb_iso': '80016.d', 'p': 59, 'prec': 20, 'unit': 1736202286988591217543476595461283, 'val': 1}
  • id: 4123245
    {'lmfdb_iso': '80016.d', 'p': 61, 'prec': 20, 'unit': 384028630139479684299474469775852, 'val': 1}
  • id: 4123243
    {'lmfdb_iso': '80016.d', 'p': 71, 'prec': 20, 'unit': 23526797239283767455188803141362545, 'val': 1}
  • id: 4123240
    {'lmfdb_iso': '80016.d', 'p': 73, 'prec': 20, 'unit': 59828940111128275671116426099129145, 'val': 1}
  • id: 4123236
    {'lmfdb_iso': '80016.d', 'p': 79, 'prec': 20, 'unit': 379707861399031057740657261943984782, 'val': 1}
  • id: 4123228
    {'lmfdb_iso': '80016.d', 'p': 83, 'prec': 20, 'unit': 2036242861484560427324919826731869846, 'val': 1}
  • id: 4123242
    {'lmfdb_iso': '80016.d', 'p': 89, 'prec': 20, 'unit': 10116574414569640844309338919575067106, 'val': 1}
  • id: 4123227
    {'lmfdb_iso': '80016.d', 'p': 97, 'prec': 20, 'unit': 51458971376411836219794666286334420342, 'val': 1}