Elliptic curve data - 29645.b1

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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': '29645g', 'Clabel': '29645g1', 'Cnumber': 1, 'abc_quality': 0.744779716951845, 'absD': 52517925845, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 20, 'ainvs': [1, -1, 1, 582, -9754], 'analytic_rank': 1, 'bad_primes': [5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 29645, 'degree': 17424, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74096517945748311715054203933', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [2079, 5], 'lmfdb_iso': '29645.b', 'lmfdb_label': '29645.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 5, 6], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['20.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6055430478365301852244480651', 'prec': 100}, 'semistable': False, 'serre_invariants': [[5, 6, 5929], [7, 14, 605], [11, 52, 245]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1819500272506494630749791366', 'prec': 103}, 'szpiro_ratio': 3.094467312378015, '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, -1, 0, -1, -1, 0, 0, 3, -3, 1, 0, 0, 0, 0, 0, -1, -6, 3, -2, 1], 'aplist': [-1, 0, -1, 0, 0, 0, -6, -2, -5, -1, -8, 6, 7, -5, 1, -6, -6, 6, 7, 6, 6, -2, 9, 14, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 29645, 'isogeny_matrix': [[1]], 'lmfdb_iso': '29645.b', 'trace_hash': 177807526537296570}
• 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': '0.22719868979140149986580574020', 'prec': 103}, 'conductor': 29645, 'gens': [[18, 70, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6055430478365301852244480651', 'prec': 100}], 'lmfdb_label': '29645.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58041174987771069958722541609', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0926995496542148618058737220972747465', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [18]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 3, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '29645.b1'}
• ec_torsion_growth •

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

  
  
  • id: 1483917
    {'degree': 3, 'field': [-405, -51, -1, 1], 'lmfdb_label': '29645.b1', 'torsion': [2]}
  • id: 1483918
    {'degree': 6, 'field': [14580, 0, 1116, 0, 53, 0, 1], 'lmfdb_label': '29645.b1', 'torsion': [2, 2]}
  • id: 1483919
    {'degree': 8, 'field': [-17, -211, 529, 821, 337, -10, -26, -1, 1], 'lmfdb_label': '29645.b1', 'torsion': [3]}
  • id: 1483920
    {'degree': 12, 'field': [-334935, 284850, 360936, -467778, 223375, -56568, 2008, 3480, -1129, 150, 16, -6, 1], 'lmfdb_label': '29645.b1', '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: 690005
    {'conductor': 29645, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '29645.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 690006
    {'conductor': 29645, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '29645.b1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 690007
    {'conductor': 29645, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '29645.b1', 'prime': 11, 'reduction_type': 0, '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': [[1, 2, 0, 1], [1, 1, 19, 0], [17, 2, 17, 3], [1, 0, 2, 1], [11, 2, 11, 3], [19, 2, 18, 3]], 'adelic_image': '20.2.0.?', 'conductor': 29645, 'lmfdb_label': '29645.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1432073
    {'lmfdb_iso': '29645.b', 'p': 17, 'prec': 20, 'unit': 205669834425932546474832, 'val': 1}
  • id: 1432064
    {'lmfdb_iso': '29645.b', 'p': 19, 'prec': 20, 'unit': 279986664500781703456509, 'val': 1}
  • id: 1432078
    {'lmfdb_iso': '29645.b', 'p': 23, 'prec': 20, 'unit': 68903602594891304610863824, 'val': 1}
  • id: 1432071
    {'lmfdb_iso': '29645.b', 'p': 29, 'prec': 20, 'unit': 4841373072465069905975718839, 'val': 1}
  • id: 1432082
    {'lmfdb_iso': '29645.b', 'p': 31, 'prec': 20, 'unit': 296202730243579474915855007, 'val': 2}
  • id: 1432067
    {'lmfdb_iso': '29645.b', 'p': 37, 'prec': 20, 'unit': 528861375575819099762578266831, 'val': 1}
  • id: 1432069
    {'lmfdb_iso': '29645.b', 'p': 41, 'prec': 20, 'unit': 2854444078015780342810869600536, 'val': 1}
  • id: 1432070
    {'lmfdb_iso': '29645.b', 'p': 43, 'prec': 20, 'unit': 8323822739171646102576646202193, 'val': 1}
  • id: 1432080
    {'lmfdb_iso': '29645.b', 'p': 47, 'prec': 20, 'unit': 1569775184996215277916238592591233, 'val': -1}
  • id: 1432075
    {'lmfdb_iso': '29645.b', 'p': 53, 'prec': 20, 'unit': 217465718249535828628468101145098, 'val': 1}
  • id: 1432076
    {'lmfdb_iso': '29645.b', 'p': 59, 'prec': 20, 'unit': 3737003033065697550620239561280710, 'val': 1}
  • id: 1432081
    {'lmfdb_iso': '29645.b', 'p': 61, 'prec': 20, 'unit': 8127979105759124676735893614034744, 'val': 1}
  • id: 1432066
    {'lmfdb_iso': '29645.b', 'p': 67, 'prec': 20, 'unit': 39134064122535005012631821641332497, 'val': 1}
  • id: 1432068
    {'lmfdb_iso': '29645.b', 'p': 71, 'prec': 20, 'unit': 28558027680542376593981052888962705, 'val': 1}
  • id: 1432077
    {'lmfdb_iso': '29645.b', 'p': 73, 'prec': 20, 'unit': 206247719224710484499922669548348786, 'val': 1}
  • id: 1432072
    {'lmfdb_iso': '29645.b', 'p': 79, 'prec': 20, 'unit': 308665275615150838934191785772128998, 'val': 1}
  • id: 1432074
    {'lmfdb_iso': '29645.b', 'p': 83, 'prec': 20, 'unit': 2854836362840431125502075752520407134, 'val': 1}
  • id: 1432079
    {'lmfdb_iso': '29645.b', 'p': 89, 'prec': 20, 'unit': 6609069516618092311956653603874181527, 'val': 1}
  • id: 1432065
    {'lmfdb_iso': '29645.b', 'p': 97, 'prec': 20, 'unit': 44224092174771315702232115288724086662, 'val': 1}