Elliptic curve data - 59290.ba1

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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': '59290j', 'Clabel': '59290j1', 'Cnumber': 1, 'abc_quality': 1.0255529479045744, 'absD': 4844086262866909520, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 20, 'ainvs': [1, -1, 0, -22569850, -41265126204], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 59290, 'degree': 2882880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7996256893917983828462011768', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1], 'jinv': [-20998480041, 80], 'lmfdb_iso': '59290.ba', 'lmfdb_label': '59290.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3807, -89449], 'min_quad_twist_disc': 77, 'modell_images': [], 'modm_images': ['20.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.974406284171449551118650660', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42056295001987640078288849471', 'prec': 107}, 'szpiro_ratio': 5.67869640439132, '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, -1, -3, 1, 0, 0, 4, 0, 0, 1, -6, 3, 2, -1], 'aplist': [-1, 0, -1, 0, 0, 4, -6, 2, 1, -5, 4, 2, -9, -3, 3, -6, 6, 6, -7, 10, -2, 6, -1, -18, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 59290, 'isogeny_matrix': [[1]], 'lmfdb_iso': '59290.ba', 'trace_hash': 157444748199757645}
• 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': '0.0037006330521788505523572666795', 'prec': 110}, 'conductor': 59290, 'gens': [[770402064, 2935390301334, 373]], 'heights': [{'__RealLiteral__': 0, 'data': '16.974406284171449551118650660', 'prec': 100}], 'lmfdb_label': '59290.ba1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.034632774940022471859028528568', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5272247554812776588554027428085656612', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 1, 0], '5': [1, 0], '7': 'a', '11': 'a', '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]}, 'iwp0': 0, 'lmfdb_label': '59290.ba1'}
• ec_torsion_growth •

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

  
  
  • id: 2851569
    {'degree': 3, 'field': [-405, -51, -1, 1], 'lmfdb_label': '59290.ba1', 'torsion': [2]}
  • id: 2851570
    {'degree': 6, 'field': [14580, 0, 1116, 0, 53, 0, 1], 'lmfdb_label': '59290.ba1', 'torsion': [2, 2]}
  • id: 2851571
    {'degree': 8, 'field': [-10232, 3965, -4298, 665, -329, -7, 7, -4, 1], 'lmfdb_label': '59290.ba1', 'torsion': [3]}
  • id: 2851572
    {'degree': 12, 'field': [-1689372, -1429221, 1151515, 608335, -456849, 15837, 25241, 5757, -4635, 763, -41, -3, 1], 'lmfdb_label': '59290.ba1', '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: 1428244
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '59290.ba1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1428245
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '59290.ba1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1428246
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '59290.ba1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1428247
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '59290.ba1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• 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': 59290, 'lmfdb_label': '59290.ba1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3010885
    {'lmfdb_iso': '59290.ba', 'p': 13, 'prec': 20, 'unit': 890946321490346207407, 'val': 1}
  • id: 3010887
    {'lmfdb_iso': '59290.ba', 'p': 17, 'prec': 20, 'unit': 142881854628771650358041, 'val': 1}
  • id: 3010888
    {'lmfdb_iso': '59290.ba', 'p': 19, 'prec': 20, 'unit': 958144353001870937992894, 'val': 1}
  • id: 3010892
    {'lmfdb_iso': '59290.ba', 'p': 23, 'prec': 20, 'unit': 1514399110691854749409421999, 'val': -1}
  • id: 3010884
    {'lmfdb_iso': '59290.ba', 'p': 29, 'prec': 20, 'unit': 4410173916713905512848653261, 'val': 1}
  • id: 3010896
    {'lmfdb_iso': '59290.ba', 'p': 31, 'prec': 20, 'unit': 15839868920981912455948903145, 'val': 1}
  • id: 3010880
    {'lmfdb_iso': '59290.ba', 'p': 37, 'prec': 20, 'unit': 65568692474737123896894210369, 'val': 1}
  • id: 3010882
    {'lmfdb_iso': '59290.ba', 'p': 41, 'prec': 20, 'unit': 18099056996906726911085274026, 'val': 1}
  • id: 3010883
    {'lmfdb_iso': '59290.ba', 'p': 43, 'prec': 20, 'unit': 10482452201709849785170693009890, 'val': 1}
  • id: 3010894
    {'lmfdb_iso': '59290.ba', 'p': 47, 'prec': 20, 'unit': 50426171585380388191956402469832, 'val': 1}
  • id: 3010889
    {'lmfdb_iso': '59290.ba', 'p': 53, 'prec': 20, 'unit': 421712333341695124923138225726430, 'val': 1}
  • id: 3010890
    {'lmfdb_iso': '59290.ba', 'p': 59, 'prec': 20, 'unit': 1253986274573770026668542460911870, 'val': 1}
  • id: 3010895
    {'lmfdb_iso': '59290.ba', 'p': 61, 'prec': 20, 'unit': 8053766263367886090463814309555070, 'val': 1}
  • id: 3010879
    {'lmfdb_iso': '59290.ba', 'p': 67, 'prec': 20, 'unit': 32061133332434674851025132338224975, 'val': 1}
  • id: 3010881
    {'lmfdb_iso': '59290.ba', 'p': 71, 'prec': 20, 'unit': 63350075265922624321346229034100533, 'val': 1}
  • id: 3010891
    {'lmfdb_iso': '59290.ba', 'p': 73, 'prec': 20, 'unit': 10289950934532389216736705397102279, 'val': 1}
  • id: 3010886
    {'lmfdb_iso': '59290.ba', 'p': 79, 'prec': 20, 'unit': 681597155232075869628544060663149752, 'val': 1}
  • id: 3010878
    {'lmfdb_iso': '59290.ba', 'p': 83, 'prec': 20, 'unit': 1559257711177976143485867676404764080, 'val': 1}
  • id: 3010893
    {'lmfdb_iso': '59290.ba', 'p': 89, 'prec': 20, 'unit': 8239602217489997900597955478113115030, 'val': 1}
  • id: 3010877
    {'lmfdb_iso': '59290.ba', 'p': 97, 'prec': 20, 'unit': 52598226205069618445551061262823802188, 'val': 1}