Elliptic curve data - 80586.w1

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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': '80586x', 'Clabel': '80586x1', 'Cnumber': 1, 'abc_quality': 0.8998647020876246, 'absD': 3338285250063675384, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 3256, 'ainvs': [1, -1, 1, -571748, 188336063], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 80586, 'degree': 1824768, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2821381232331336210868642470', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1], 'jinv': [-12024728171, 1942056], 'lmfdb_iso': '80586.w', 'lmfdb_label': '80586.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -525, 5193], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['3256.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3531796824556602105948705584', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3663], [3, 8, 4477], [11, 42, 666], [37, 38, 2178]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.065589475699699132657216054934', 'prec': 110}, 'szpiro_ratio': 4.570128128015118, '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, 2, 1, 0, -1, 0, 0, -6, 2, 0, 1, -1, 0, 8, -1], 'aplist': [1, 0, -1, 2, 0, -6, -1, 8, -2, 0, 0, -1, -10, 0, 9, -2, 12, -12, 10, 15, -4, 17, -9, -14, 0], 'class_deg': 1, 'class_size': 1, 'conductor': 80586, 'isogeny_matrix': [[1]], 'lmfdb_iso': '80586.w', 'trace_hash': 1784200441927369544}
• 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': '0.010417416120725757170399932024', 'prec': 107}, 'conductor': 80586, 'gens': [[1543, 53799, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3531796824556602105948705584', 'prec': 100}], 'lmfdb_label': '80586.w1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24213402393720514771104915367', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7430266739696254261189098649727911374', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [1543]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '80586.w1'}
• ec_torsion_growth •

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

  
  
  • id: 3790847
    {'degree': 3, 'field': [22, 14, -1, 1], 'lmfdb_label': '80586.w1', 'torsion': [2]}
  • id: 3790848
    {'degree': 6, 'field': [1298, -1496, 823, -44, -6, 0, 1], 'lmfdb_label': '80586.w1', 'torsion': [2, 2]}
  • id: 3790849
    {'degree': 8, 'field': [-92928, 0, -11616, 0, -495, 0, 77, 0, 1], 'lmfdb_label': '80586.w1', 'torsion': [3]}
  • id: 3790850
    {'degree': 12, 'field': [-407080907496, -71898192648, -30183094962, -2059086528, -702935622, -22233060, -6820551, -59964, -13193, -364, 219, -4, 1], 'lmfdb_label': '80586.w1', '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: 1960258
    {'conductor': 80586, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '80586.w1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1960259
    {'conductor': 80586, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '80586.w1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1960260
    {'conductor': 80586, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '80586.w1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1960261
    {'conductor': 80586, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '80586.w1', 'prime': 37, 'reduction_type': -1, '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': [[705, 2, 705, 3], [815, 2, 0, 1], [1629, 2, 1629, 3], [2961, 2, 2961, 3], [1, 1, 3255, 0], [1, 0, 2, 1], [1, 2, 0, 1], [3255, 2, 3254, 3]], 'adelic_image': '3256.2.0.?', 'conductor': 80586, 'lmfdb_label': '80586.w1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4151186
    {'lmfdb_iso': '80586.w', 'p': 5, 'prec': 20, 'unit': 9253778753951, 'val': 1}
  • id: 4151187
    {'lmfdb_iso': '80586.w', 'p': 7, 'prec': 20, 'unit': 4240095300746260, 'val': 1}
  • id: 4151190
    {'lmfdb_iso': '80586.w', 'p': 13, 'prec': 20, 'unit': 1066416978247499964236, 'val': 1}
  • id: 4151192
    {'lmfdb_iso': '80586.w', 'p': 17, 'prec': 20, 'unit': 28493696463118044497385, 'val': 1}
  • id: 4151184
    {'lmfdb_iso': '80586.w', 'p': 19, 'prec': 20, 'unit': 1077732803572310216983495, 'val': 1}
  • id: 4151197
    {'lmfdb_iso': '80586.w', 'p': 23, 'prec': 20, 'unit': 42262639978039151500589080, 'val': 1}
  • id: 4151188
    {'lmfdb_iso': '80586.w', 'p': 41, 'prec': 20, 'unit': 103193426580014242356413375095, 'val': 1}
  • id: 4151199
    {'lmfdb_iso': '80586.w', 'p': 47, 'prec': 20, 'unit': 239252225047375822598723211656, 'val': 2}
  • id: 4151194
    {'lmfdb_iso': '80586.w', 'p': 53, 'prec': 20, 'unit': 39088902653646804047659958307620, 'val': 1}
  • id: 4151195
    {'lmfdb_iso': '80586.w', 'p': 59, 'prec': 20, 'unit': 497543435811095508974093953112668, 'val': 1}
  • id: 4151200
    {'lmfdb_iso': '80586.w', 'p': 61, 'prec': 20, 'unit': 3566247603651673989033674516466739, 'val': 1}
  • id: 4151185
    {'lmfdb_iso': '80586.w', 'p': 67, 'prec': 20, 'unit': 11192360786101656897440458265067805, 'val': 1}
  • id: 4151189
    {'lmfdb_iso': '80586.w', 'p': 71, 'prec': 20, 'unit': 25504133756167954886767402368582667, 'val': 1}
  • id: 4151196
    {'lmfdb_iso': '80586.w', 'p': 73, 'prec': 20, 'unit': 168059634208981444146505721815800805, 'val': 1}
  • id: 4151191
    {'lmfdb_iso': '80586.w', 'p': 79, 'prec': 20, 'unit': 447376465720290644852784845358819021, 'val': 1}
  • id: 4151193
    {'lmfdb_iso': '80586.w', 'p': 83, 'prec': 20, 'unit': 135940970101076659096792238483928316, 'val': 1}
  • id: 4151198
    {'lmfdb_iso': '80586.w', 'p': 89, 'prec': 20, 'unit': 1332335038084970224055261869197960150, 'val': 1}