Elliptic curve data - 105800.s1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '105800u', 'Clabel': '105800u2', 'Cnumber': 2, 'abc_quality': 0.8950584960350794, 'absD': 2505951528992000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [0, 0, 0, -462875, -94294250], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 105800, 'degree': 1824768, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2429187279822169864340311365', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [2315250, 529], 'lmfdb_iso': '105800.s', 'lmfdb_label': '105800.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -35, 62], 'min_quad_twist_disc': -115, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '20.194000626004604870355598861', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 13225], [5, 14, 4232], [23, 288, 200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76493225171269124656885439069', 'prec': 107}, 'szpiro_ratio': 4.38654149796629, '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, 0, 0, 0, 0, 0, 4, 0, -3, 0, -6, 0, 2, 0, 0, 0, 6, 0, 6, 0], 'aplist': [0, 0, 0, 4, -6, 2, 6, 6, 0, -6, 0, -8, 6, -2, 8, -8, 4, 4, 2, -8, -6, -12, 10, -10, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 105800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '105800.s', 'trace_hash': 1004073197397054792}
• 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': '0.011267447577346227042636825567', 'prec': 107}, 'conductor': 105800, 'gens': [[64776980074, 16486351760377668, 721]], 'heights': [{'__RealLiteral__': 0, 'data': '20.194000626004604870355598861', 'prec': 100}], 'lmfdb_label': '105800.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18603888906837363641649226605', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5137388846158769111236014323763683878', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-230, 0, 1]], 'xcoord_integral_points': [-230]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '105800.s1'}
• ec_torsion_growth •

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

  
  
  • id: 4887896
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '105800.s1', 'torsion': [2, 2]}
  • id: 4887897
    {'degree': 4, 'field': [200, 0, -15, 0, 1], 'lmfdb_label': '105800.s1', 'torsion': [4]}
  • id: 4887900
    {'degree': 8, 'field': [-517176, -23544, 61848, 5184, -2580, -348, -6, 0, 1], 'lmfdb_label': '105800.s1', 'torsion': [6]}
  • id: 4887899
    {'degree': 8, 'field': [8836, 0, -1756, 0, 77, 0, -4, 0, 1], 'lmfdb_label': '105800.s1', 'torsion': [2, 4]}
  • id: 4887898
    {'degree': 8, 'field': [15534, 5568, -5728, 336, -207, 44, -10, -4, 1], 'lmfdb_label': '105800.s1', 'torsion': [2, 4]}
  • id: 4887901
    {'degree': 16, 'field': [331776, 0, 534528, 0, 103712, 0, -125248, 0, 42988, 0, -7488, 0, 557, 0, 8, 0, 1], 'lmfdb_label': '105800.s1', 'torsion': [8]}
  • id: 4887902
    {'degree': 16, 'field': [3302111296, 0, -1469076736, 0, -41070848, 0, 11600192, 0, 724720, 0, 18968, 0, 1732, 0, -4, 0, 1], 'lmfdb_label': '105800.s1', 'torsion': [2, 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: 2599345
    {'conductor': 105800, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '105800.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2599346
    {'conductor': 105800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '105800.s1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2599347
    {'conductor': 105800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '105800.s1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2358128
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 105800, 'lmfdb_label': '105800.s1', 'prime': 0}
  • id: 422033
    {'conductor': 105800, 'elladic_image': '8.6.0.6', 'lmfdb_label': '105800.s1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5512526
    {'lmfdb_iso': '105800.s', 'p': 7, 'prec': 20, 'unit': 2374124565958170, 'val': 1}
  • id: 5512524
    {'lmfdb_iso': '105800.s', 'p': 11, 'prec': 20, 'unit': 36547237607874998826, 'val': 1}
  • id: 5512530
    {'lmfdb_iso': '105800.s', 'p': 13, 'prec': 20, 'unit': 1397985516329174405531, 'val': 1}
  • id: 5512532
    {'lmfdb_iso': '105800.s', 'p': 17, 'prec': 20, 'unit': 120142335771986535825554, 'val': 1}
  • id: 5512533
    {'lmfdb_iso': '105800.s', 'p': 19, 'prec': 20, 'unit': 1753560661121868179171547, 'val': 1}
  • id: 5512529
    {'lmfdb_iso': '105800.s', 'p': 29, 'prec': 20, 'unit': 5877673608737493536303706612, 'val': 1}
  • id: 5512525
    {'lmfdb_iso': '105800.s', 'p': 37, 'prec': 20, 'unit': 163186807906372170541078504992, 'val': 1}
  • id: 5512527
    {'lmfdb_iso': '105800.s', 'p': 41, 'prec': 20, 'unit': 3609265194278147191142801467351, 'val': 1}
  • id: 5512528
    {'lmfdb_iso': '105800.s', 'p': 43, 'prec': 20, 'unit': 4870833431205115630127153714492, 'val': 1}
  • id: 5512540
    {'lmfdb_iso': '105800.s', 'p': 47, 'prec': 20, 'unit': 528395799461834968024720834018, 'val': 1}
  • id: 5512534
    {'lmfdb_iso': '105800.s', 'p': 53, 'prec': 20, 'unit': 555592034839622946724547716913730, 'val': 1}
  • id: 5512535
    {'lmfdb_iso': '105800.s', 'p': 59, 'prec': 20, 'unit': 1767239433952507763824146576069923, 'val': 1}
  • id: 5512541
    {'lmfdb_iso': '105800.s', 'p': 61, 'prec': 20, 'unit': 5363999268427463418236928102750409, 'val': 1}
  • id: 5512523
    {'lmfdb_iso': '105800.s', 'p': 67, 'prec': 20, 'unit': 1932900318892362774353705434341574, 'val': 1}
  • id: 5512539
    {'lmfdb_iso': '105800.s', 'p': 71, 'prec': 20, 'unit': 26001013767738975788108544582288488, 'val': 1}
  • id: 5512536
    {'lmfdb_iso': '105800.s', 'p': 73, 'prec': 20, 'unit': 114464343945942700549475502152763709, 'val': 1}
  • id: 5512531
    {'lmfdb_iso': '105800.s', 'p': 79, 'prec': 20, 'unit': 927756733462656326003925296468530837, 'val': 1}
  • id: 5512537
    {'lmfdb_iso': '105800.s', 'p': 83, 'prec': 20, 'unit': 2557700591847722373008575652276013930, 'val': 1}
  • id: 5512538
    {'lmfdb_iso': '105800.s', 'p': 89, 'prec': 20, 'unit': 4779218188265804062958640490176144924, 'val': 1}
  • id: 5512522
    {'lmfdb_iso': '105800.s', 'p': 97, 'prec': 20, 'unit': 334754517597905352222226969889858638, 'val': 1}