Elliptic curve data - 39039.n1

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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': '39039a', 'Clabel': '39039a1', 'Cnumber': 1, 'abc_quality': 0.9192669532162422, 'absD': 478331945091, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 182, 'ainvs': [0, -1, 1, -225, -33226], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 39039, 'degree': 37632, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92027860743699041618735284274', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [-262144, 99099], 'lmfdb_iso': '39039.n', 'lmfdb_label': '39039.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -1, -15], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['182.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.49921107096994640874547476366', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36219607129377795183939087804', 'prec': 107}, 'szpiro_ratio': 3.2490344594870346, '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, -2, 1, 0, -1, 0, 1, 0, -1, 2, 0, 0, -1, 4, -4, 0, 1, -2], 'aplist': [0, -1, 1, -1, -1, 0, -4, 1, 1, 3, -9, 4, -6, -3, -9, 9, 12, 8, 14, -2, -13, -3, 17, -1, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 39039, 'isogeny_matrix': [[1]], 'lmfdb_iso': '39039.n', 'trace_hash': 1929829796529635072}
• 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': '0.15872895532575325266468415055', 'prec': 103}, 'conductor': 39039, 'gens': [[48, 253, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.49921107096994640874547476366', 'prec': 103}], 'lmfdb_label': '39039.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41866512398915346261697093650', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3440362387902512311597020440556147523', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [48, 74]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [19, 4, 0], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '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]}, 'iwp0': 0, 'lmfdb_label': '39039.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1923802
    {'degree': 3, 'field': [-2, 4, 0, 1], 'lmfdb_label': '39039.n1', 'torsion': [2]}
  • id: 1923803
    {'degree': 6, 'field': [9, -33, 44, -23, 14, -3, 1], 'lmfdb_label': '39039.n1', 'torsion': [2, 2]}
  • id: 1923804
    {'degree': 8, 'field': [-6796, -2219, 1922, 593, -293, -7, 7, -4, 1], 'lmfdb_label': '39039.n1', 'torsion': [3]}
  • id: 1923805
    {'degree': 12, 'field': [-778303, -1635572, -1067786, 90684, 303551, 31688, -33336, 1216, -365, 180, 2, -4, 1], 'lmfdb_label': '39039.n1', '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: 921895
    {'conductor': 39039, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '39039.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 921896
    {'conductor': 39039, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '39039.n1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 921897
    {'conductor': 39039, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '39039.n1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 921898
    {'conductor': 39039, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '39039.n1', 'prime': 13, '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

  
  {'adelic_gens': [[181, 2, 180, 3], [1, 1, 181, 0], [1, 2, 0, 1], [1, 0, 2, 1], [15, 2, 15, 3], [157, 2, 157, 3]], 'adelic_image': '182.2.0.?', 'conductor': 39039, 'lmfdb_label': '39039.n1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1927712
    {'lmfdb_iso': '39039.n', 'p': 5, 'prec': 20, 'unit': 47612567362347, 'val': -1}
  • id: 1927719
    {'lmfdb_iso': '39039.n', 'p': 17, 'prec': 20, 'unit': 236974738076587768404757, 'val': 1}
  • id: 1927709
    {'lmfdb_iso': '39039.n', 'p': 19, 'prec': 20, 'unit': 34638906244796100286947439, 'val': -1}
  • id: 1927724
    {'lmfdb_iso': '39039.n', 'p': 23, 'prec': 20, 'unit': 987209099751563971357528745, 'val': -1}
  • id: 1927717
    {'lmfdb_iso': '39039.n', 'p': 29, 'prec': 20, 'unit': 6051883363398429503772681319, 'val': 1}
  • id: 1927714
    {'lmfdb_iso': '39039.n', 'p': 31, 'prec': 20, 'unit': 1156554583982670492468372930, 'val': 1}
  • id: 1927728
    {'lmfdb_iso': '39039.n', 'p': 37, 'prec': 20, 'unit': 597594258447254704815664394122, 'val': 1}
  • id: 1927715
    {'lmfdb_iso': '39039.n', 'p': 41, 'prec': 20, 'unit': 3551398916375111996616551697654, 'val': 1}
  • id: 1927716
    {'lmfdb_iso': '39039.n', 'p': 43, 'prec': 20, 'unit': 3161065635873597703304277937018, 'val': 1}
  • id: 1927726
    {'lmfdb_iso': '39039.n', 'p': 47, 'prec': 20, 'unit': 15271045221844119108485696705723, 'val': 1}
  • id: 1927721
    {'lmfdb_iso': '39039.n', 'p': 53, 'prec': 20, 'unit': 329103424077610468879040620121089, 'val': 1}
  • id: 1927722
    {'lmfdb_iso': '39039.n', 'p': 59, 'prec': 20, 'unit': 1697615689996334593158595525635420, 'val': 1}
  • id: 1927727
    {'lmfdb_iso': '39039.n', 'p': 61, 'prec': 20, 'unit': 2367149948606094082524260087104408, 'val': 1}
  • id: 1927711
    {'lmfdb_iso': '39039.n', 'p': 67, 'prec': 20, 'unit': 1980469585190415440924222725327104, 'val': 1}
  • id: 1927713
    {'lmfdb_iso': '39039.n', 'p': 71, 'prec': 20, 'unit': 102835196968696422511592780696210684, 'val': 1}
  • id: 1927723
    {'lmfdb_iso': '39039.n', 'p': 73, 'prec': 20, 'unit': 45328620563478148723093874594931973, 'val': 1}
  • id: 1927718
    {'lmfdb_iso': '39039.n', 'p': 79, 'prec': 20, 'unit': 310051380711960753926257719459513095, 'val': 1}
  • id: 1927720
    {'lmfdb_iso': '39039.n', 'p': 83, 'prec': 20, 'unit': 1217872439245514576311312546937038515, 'val': 1}
  • id: 1927725
    {'lmfdb_iso': '39039.n', 'p': 89, 'prec': 20, 'unit': 1038642341957476367340982571907703264, 'val': 1}
  • id: 1927710
    {'lmfdb_iso': '39039.n', 'p': 97, 'prec': 20, 'unit': 46401818647169835158205419810669063419, 'val': 1}