Elliptic curve data - 80586.y2

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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': '80586bh', 'Clabel': '80586bh2', 'Cnumber': 2, 'abc_quality': 0.9523968414365175, 'absD': 34600582893888, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 444, 'ainvs': [1, -1, 1, 2155, -280915], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 80586, 'degree': 238464, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2779170790008950792393620576', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3], 'jinv': [103742375, 3241792], 'lmfdb_iso': '80586.y', 'lmfdb_label': '80586.y2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 239, 10404], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '148.2.0.?', '444.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2239098350123603746896739902', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 40293], [3, 6, 121], [11, 52, 666], [37, 38, 2178]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.070687489599283281145575086849', 'prec': 110}, 'szpiro_ratio': 3.4177785593348218, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 0, 0, -4, 1, 0, 0, 0, 0, 2, -4, 0, 1, 6, 0, -7, 0], 'aplist': [1, 0, 0, -4, 0, 2, 6, -7, -3, 0, 5, 1, -6, -1, -6, -9, 12, 8, 2, 6, 11, -4, 12, 6, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 80586, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '80586.y', 'trace_hash': 1491888350355444272}
• 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': '0.077627451492620157890776911302', 'prec': 107}, 'conductor': 80586, 'gens': [[201, 2770, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2239098350123603746896739902', 'prec': 100}], 'lmfdb_label': '80586.y2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31518855988114795798537379040', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.4114112584368066826224315361690703671', 'prec': 130}, 'tamagawa_product': 108, 'torsion_generators': [[91, 768, 1]], 'xcoord_integral_points': [91, 201, 831]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 3, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '80586.y2'}
• ec_torsion_growth •

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

  
  
  • id: 3791003
    {'degree': 3, 'field': [-130, 4, -1, 1], 'lmfdb_label': '80586.y2', 'torsion': [6]}
  • id: 3791005
    {'degree': 6, 'field': [144, -36, -27, 15, 6, -3, 1], 'lmfdb_label': '80586.y2', 'torsion': [3, 3]}
  • id: 3791004
    {'degree': 6, 'field': [632, 972, 669, 202, 14, -2, 1], 'lmfdb_label': '80586.y2', 'torsion': [2, 6]}
  • id: 3791006
    {'degree': 9, 'field': [-165168, -173160, -11988, 18511, 2664, 243, -148, -27, 0, 1], 'lmfdb_label': '80586.y2', 'torsion': [9]}
  • id: 3791007
    {'degree': 12, 'field': [-61952, 123904, -57024, -31912, 31449, -7310, -1284, 1462, -274, 22, 12, -6, 1], 'lmfdb_label': '80586.y2', 'torsion': [12]}
  • id: 3791008
    {'degree': 18, 'field': [21904, -65712, 119436, -133348, 94029, -9093, -45119, 52020, -24552, 3068, 3678, -2586, 998, -540, 324, -144, 45, -9, 1], 'lmfdb_label': '80586.y2', 'torsion': [3, 6]}
• 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: 1960334
    {'conductor': 80586, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '80586.y2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1960335
    {'conductor': 80586, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '80586.y2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1960336
    {'conductor': 80586, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '80586.y2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1960337
    {'conductor': 80586, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '80586.y2', 'prime': 37, 'reduction_type': 1, '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

  
  
  • id: 2195204
    {'adelic_gens': [[223, 6, 225, 19], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [439, 6, 438, 7], [409, 6, 339, 19], [34, 405, 101, 437], [1, 6, 0, 1]], 'adelic_image': '444.16.0.?', 'conductor': 80586, 'lmfdb_label': '80586.y2', 'prime': 0}
  • id: 330669
    {'conductor': 80586, 'elladic_image': '3.8.0.1', 'lmfdb_label': '80586.y2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4151353
    {'lmfdb_iso': '80586.y', 'p': 7, 'prec': 20, 'unit': 4520609527002022, 'val': 1}
  • id: 4151356
    {'lmfdb_iso': '80586.y', 'p': 13, 'prec': 20, 'unit': 537827828985738435396, 'val': 1}
  • id: 4151358
    {'lmfdb_iso': '80586.y', 'p': 17, 'prec': 20, 'unit': 236033722182954344336748, 'val': 1}
  • id: 4151350
    {'lmfdb_iso': '80586.y', 'p': 19, 'prec': 20, 'unit': 1972747671057040097725821, 'val': 1}
  • id: 4151363
    {'lmfdb_iso': '80586.y', 'p': 23, 'prec': 20, 'unit': 68194522482244662605477650, 'val': 1}
  • id: 4151368
    {'lmfdb_iso': '80586.y', 'p': 31, 'prec': 20, 'unit': 193125849350061613878153965, 'val': 1}
  • id: 4151354
    {'lmfdb_iso': '80586.y', 'p': 41, 'prec': 20, 'unit': 3416091900335855178868363931209, 'val': 1}
  • id: 4151355
    {'lmfdb_iso': '80586.y', 'p': 43, 'prec': 20, 'unit': 8422591515639152578997452386884, 'val': 1}
  • id: 4151366
    {'lmfdb_iso': '80586.y', 'p': 47, 'prec': 20, 'unit': 31369890781852786080444257441687, 'val': 1}
  • id: 4151360
    {'lmfdb_iso': '80586.y', 'p': 53, 'prec': 20, 'unit': 161159934621382081295641235118634, 'val': 1}
  • id: 4151361
    {'lmfdb_iso': '80586.y', 'p': 59, 'prec': 20, 'unit': 257106357720382957541385416617945, 'val': 1}
  • id: 4151367
    {'lmfdb_iso': '80586.y', 'p': 61, 'prec': 20, 'unit': 1877450387566270407481416905485693, 'val': 1}
  • id: 4151352
    {'lmfdb_iso': '80586.y', 'p': 67, 'prec': 20, 'unit': 32227402164685055443342536466931059, 'val': 1}
  • id: 4151365
    {'lmfdb_iso': '80586.y', 'p': 71, 'prec': 20, 'unit': 92951908804103696418652433960343673, 'val': 1}
  • id: 4151362
    {'lmfdb_iso': '80586.y', 'p': 73, 'prec': 20, 'unit': 78201934965245479687993837052544876, 'val': 1}
  • id: 4151357
    {'lmfdb_iso': '80586.y', 'p': 79, 'prec': 20, 'unit': 676564855504314663156232408036957994, 'val': 1}
  • id: 4151359
    {'lmfdb_iso': '80586.y', 'p': 83, 'prec': 20, 'unit': 356839886846003380447337021203397352, 'val': 1}
  • id: 4151364
    {'lmfdb_iso': '80586.y', 'p': 89, 'prec': 20, 'unit': 6412804050199055174224335527168954551, 'val': 1}
  • id: 4151351
    {'lmfdb_iso': '80586.y', 'p': 97, 'prec': 20, 'unit': 49766167238123189035692875753659584119, 'val': 1}