Elliptic curve data - 585.h2

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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': '585h', 'Clabel': '585h2', 'Cnumber': 2, 'abc_quality': 0.8991385141629263, 'absD': 3080025, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [1, -1, 0, 36, -27], 'analytic_rank': 1, 'bad_primes': [3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 585, 'degree': 96, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.065735502678134221225640659929', 'prec': 110}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [6967871, 4225], 'lmfdb_iso': '585.h', 'lmfdb_label': '585.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4, 1], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '24.12.0-4.a.1.1', '260.12.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.81908788305530066658453679968', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 65], [5, 6, 117], [13, 14, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61504164701218906692326327839', 'prec': 107}, 'szpiro_ratio': 3.5075102740067003, '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, 1, 0, -1, 1, 0, -4, -3, 0, 1, -2, 0, -1, -4, 0, -1, -2, 0, -6, -1], 'aplist': [1, 0, 1, -4, -2, -1, -2, -6, 6, -2, -10, -2, 6, 10, -4, -2, -6, 2, -4, -6, -6, -12, 16, -2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 585, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '585.h', 'trace_hash': 854949074168896706}
• 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': '1.1405048387114889279386631719', 'prec': 100}, 'conductor': 585, 'gens': [[4, 11, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.81908788305530066658453679968', 'prec': 103}], 'lmfdb_label': '585.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4679294821797225399178642436', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4047265040661052792246780139869110916', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[3, -3, 2]], 'xcoord_integral_points': [4, 12]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1], '3': 'a', '5': [2, 0], '7': [9, 0], '11': [5, 0], '13': [1, 0], '17': [1, 0], '19': [5, 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': '585.h2'}
• ec_torsion_growth •

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

  
  
  • id: 26954
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '585.h2', 'torsion': [2, 2]}
  • id: 26955
    {'degree': 4, 'field': [4, 28, -7, -1, 1], 'lmfdb_label': '585.h2', 'torsion': [4]}
  • id: 26958
    {'degree': 8, 'field': [-27, 0, 0, 0, -18, 0, -1, 0, 1], 'lmfdb_label': '585.h2', 'torsion': [6]}
  • id: 26957
    {'degree': 8, 'field': [16, 0, 840, 0, 113, 0, 15, 0, 1], 'lmfdb_label': '585.h2', 'torsion': [2, 4]}
  • id: 26956
    {'degree': 8, 'field': [25, 0, -16, 0, 23, 0, -8, 0, 1], 'lmfdb_label': '585.h2', 'torsion': [2, 4]}
  • id: 26960
    {'degree': 16, 'field': [-3010160, 918560, -1014080, 732640, 1524136, -1494704, 166640, 329840, -152199, -4030, 17384, -3050, -539, 250, -20, -4, 1], 'lmfdb_label': '585.h2', 'torsion': [8]}
  • id: 26961
    {'degree': 16, 'field': [25, 0, 500, 0, 130, 0, -1894, 0, 1831, 0, -745, 0, 199, 0, -22, 0, 1], 'lmfdb_label': '585.h2', 'torsion': [2, 6]}
  • id: 26959
    {'degree': 16, 'field': [100, 0, 920, 0, 17176, 0, 52012, 0, 30909, 0, 7736, 0, 934, 0, 52, 0, 1], 'lmfdb_label': '585.h2', 'torsion': [4, 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: 6911
    {'conductor': 585, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '585.h2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6912
    {'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '585.h2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6913
    {'conductor': 585, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '585.h2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1668502
    {'adelic_gens': [[3, 8, 10, 27], [1, 0, 8, 1], [937, 6, 0, 1], [781, 528, 522, 1057], [1, 8, 0, 1], [391, 528, 327, 1057], [1081, 522, 0, 1], [1553, 8, 1552, 9], [5, 8, 48, 77], [1039, 0, 0, 1559]], 'adelic_image': '1560.48.0.?', 'conductor': 585, 'lmfdb_label': '585.h2', 'prime': 0}
  • id: 2653
    {'conductor': 585, 'elladic_image': '4.6.0.5', 'lmfdb_label': '585.h2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 9734
    {'lmfdb_iso': '585.h', 'p': 7, 'prec': 20, 'unit': 228073618158415, 'val': 3}
  • id: 9739
    {'lmfdb_iso': '585.h', 'p': 11, 'prec': 20, 'unit': 4935843825487038771, 'val': 2}
  • id: 9740
    {'lmfdb_iso': '585.h', 'p': 17, 'prec': 20, 'unit': 137245375755509537997607, 'val': 1}
  • id: 9741
    {'lmfdb_iso': '585.h', 'p': 19, 'prec': 20, 'unit': 67663038051584252362709, 'val': 2}
  • id: 9745
    {'lmfdb_iso': '585.h', 'p': 23, 'prec': 20, 'unit': 24002821534055791131620889, 'val': 1}
  • id: 9737
    {'lmfdb_iso': '585.h', 'p': 29, 'prec': 20, 'unit': 4259575526411248340201386957, 'val': 1}
  • id: 9750
    {'lmfdb_iso': '585.h', 'p': 31, 'prec': 20, 'unit': 200654610473326177181381445, 'val': 2}
  • id: 9733
    {'lmfdb_iso': '585.h', 'p': 37, 'prec': 20, 'unit': 484077001808497776047488053958, 'val': 1}
  • id: 9735
    {'lmfdb_iso': '585.h', 'p': 41, 'prec': 20, 'unit': 2130022186878491423752528304667, 'val': 1}
  • id: 9736
    {'lmfdb_iso': '585.h', 'p': 43, 'prec': 20, 'unit': 4331999060510966994556917959394, 'val': 1}
  • id: 9748
    {'lmfdb_iso': '585.h', 'p': 47, 'prec': 20, 'unit': 26549738624825425047733815512531, 'val': 1}
  • id: 9742
    {'lmfdb_iso': '585.h', 'p': 53, 'prec': 20, 'unit': 328534264935837718523974128970038, 'val': 1}
  • id: 9743
    {'lmfdb_iso': '585.h', 'p': 59, 'prec': 20, 'unit': 4364907384402978641452403830847546, 'val': 1}
  • id: 9749
    {'lmfdb_iso': '585.h', 'p': 61, 'prec': 20, 'unit': 8299889455892909186366261974847573, 'val': 1}
  • id: 9732
    {'lmfdb_iso': '585.h', 'p': 67, 'prec': 20, 'unit': 5063780411237113633763960323555811, 'val': 1}
  • id: 9747
    {'lmfdb_iso': '585.h', 'p': 71, 'prec': 20, 'unit': 83514912731156989781628768632545969, 'val': 1}
  • id: 9744
    {'lmfdb_iso': '585.h', 'p': 73, 'prec': 20, 'unit': 169839802703371816828746823682707711, 'val': 1}
  • id: 9738
    {'lmfdb_iso': '585.h', 'p': 79, 'prec': 20, 'unit': 949070655847921555243836751131635663, 'val': 1}
  • id: 9731
    {'lmfdb_iso': '585.h', 'p': 83, 'prec': 20, 'unit': 1427248615539852627442788476922744522, 'val': 1}
  • id: 9746
    {'lmfdb_iso': '585.h', 'p': 89, 'prec': 20, 'unit': 10079893171397094714471720872082079322, 'val': 1}
  • id: 9730
    {'lmfdb_iso': '585.h', 'p': 97, 'prec': 20, 'unit': 47928711150327662806861605289258708748, 'val': 1}