Elliptic curve data - 78400.kh2

Formats: - HTML - YAML - JSON - 2022-08-09T22:29:28.490973

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '78400ig', 'Clabel': '78400ig1', 'Cnumber': 1, 'absD': 1033052339200000000, 'ainvs': [0, -1, 0, 194367, 36039137], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 78400, 'degree': 1032192, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1425692776560702190297817782', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 267, 'isogeny_degrees': [1, 2], 'jinv': [19652, 25], 'lmfdb_iso': '78400.kh', 'lmfdb_label': '78400.kh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 40, 92], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.030918497539433610287557431', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0457785310990586929892552746', 'prec': 103}, '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, 2, 0, 0, 0, 0, 0, 1, 0, 4, 0, -2, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 2, 0, 0, 4, -2, 0, -2, -4, -10, 4, -2, 12, 4, -4, 2, -10, 6, -4, 12, -4, 4, 14, -8, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 78400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '78400.kh', 'trace_hash': 2022680546606416126}
• 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': '0.013771713245069290182108439712', 'prec': 107}, 'conductor': 78400, 'gens': [[12638893, 44963797600, 33]], 'heights': [{'__RealLiteral__': 0, 'data': '13.030918497539433610287557431', 'prec': 100}], 'lmfdb_label': '78400.kh2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18600124973072967960733968674', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.6950685027264679078496460055517400558', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-163, 0, 1]], 'xcoord_integral_points': [-163]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 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': '78400.kh2'}
• ec_torsion_growth •

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

  
  
  • id: 3702246
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '78400.kh2', 'torsion': [2, 2]}
  • id: 3702247
    {'degree': 4, 'field': [-31, -46, -23, -2, 1], 'lmfdb_label': '78400.kh2', 'torsion': [4]}
  • id: 3702250
    {'degree': 8, 'field': [-58800, 0, -415520, 0, 840, 0, 0, 0, 1], 'lmfdb_label': '78400.kh2', 'torsion': [6]}
  • id: 3702248
    {'degree': 8, 'field': [44, 96, 10, -88, 90, -16, -1, -2, 1], 'lmfdb_label': '78400.kh2', 'torsion': [2, 4]}
  • id: 3702249
    {'degree': 8, 'field': [569, -362, -187, -30, 106, 22, -17, -2, 1], 'lmfdb_label': '78400.kh2', 'torsion': [2, 4]}
  • id: 3702251
    {'degree': 16, 'field': [44521, 0, -1644, 0, -59214, 0, -42104, 0, -11737, 0, -1184, 0, 62, 0, 20, 0, 1], 'lmfdb_label': '78400.kh2', 'torsion': [8]}
  • id: 3702252
    {'degree': 16, 'field': [13829760000, 0, -4148928000, 0, 608070400, 0, -46099200, 0, 1587600, 0, -7840, 0, -840, 0, 0, 0, 1], 'lmfdb_label': '78400.kh2', '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: 1908810
    {'conductor': 78400, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '78400.kh2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1908811
    {'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '78400.kh2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1908812
    {'conductor': 78400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '78400.kh2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'conductor': 78400, 'elladic_image': '8.6.0.3', 'lmfdb_label': '78400.kh2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4038682
    {'lmfdb_iso': '78400.kh', 'p': 11, 'prec': 20, 'unit': 40234468634650666781, 'val': 1}
  • id: 4038688
    {'lmfdb_iso': '78400.kh', 'p': 13, 'prec': 20, 'unit': 800530125547247027316, 'val': 1}
  • id: 4038691
    {'lmfdb_iso': '78400.kh', 'p': 19, 'prec': 20, 'unit': 1291087169757939017039627, 'val': 1}
  • id: 4038694
    {'lmfdb_iso': '78400.kh', 'p': 23, 'prec': 20, 'unit': 52265949015061657396653019, 'val': 1}
  • id: 4038687
    {'lmfdb_iso': '78400.kh', 'p': 29, 'prec': 20, 'unit': 2344300677631692487292442330, 'val': 1}
  • id: 4038699
    {'lmfdb_iso': '78400.kh', 'p': 31, 'prec': 20, 'unit': 19537134915782286857462193471, 'val': 1}
  • id: 4038683
    {'lmfdb_iso': '78400.kh', 'p': 37, 'prec': 20, 'unit': 499951891061090941044962929179, 'val': 1}
  • id: 4038685
    {'lmfdb_iso': '78400.kh', 'p': 41, 'prec': 20, 'unit': 3615800046484186368850489039659, 'val': 1}
  • id: 4038686
    {'lmfdb_iso': '78400.kh', 'p': 43, 'prec': 20, 'unit': 5881397558299689931959968466393, 'val': 1}
  • id: 4038696
    {'lmfdb_iso': '78400.kh', 'p': 47, 'prec': 20, 'unit': 20695707584643373310332356946547, 'val': 1}
  • id: 4038692
    {'lmfdb_iso': '78400.kh', 'p': 53, 'prec': 20, 'unit': 568123554847069306866561019754908, 'val': 1}
  • id: 4038690
    {'lmfdb_iso': '78400.kh', 'p': 59, 'prec': 20, 'unit': 3890026094766909021947597345405309, 'val': 1}
  • id: 4038697
    {'lmfdb_iso': '78400.kh', 'p': 61, 'prec': 20, 'unit': 3597065532488085443625766894051356, 'val': 1}
  • id: 4038681
    {'lmfdb_iso': '78400.kh', 'p': 67, 'prec': 20, 'unit': 10700313832367338484596207428899774, 'val': 1}
  • id: 4038684
    {'lmfdb_iso': '78400.kh', 'p': 71, 'prec': 20, 'unit': 140687133261276456057002875263932872, 'val': 1}
  • id: 4038693
    {'lmfdb_iso': '78400.kh', 'p': 73, 'prec': 20, 'unit': 29804480144200731741509549769657360, 'val': 1}
  • id: 4038689
    {'lmfdb_iso': '78400.kh', 'p': 79, 'prec': 20, 'unit': 886398356894550044388729398368189302, 'val': 1}
  • id: 4038698
    {'lmfdb_iso': '78400.kh', 'p': 83, 'prec': 20, 'unit': 289939807218873298646331334737817180, 'val': 1}
  • id: 4038695
    {'lmfdb_iso': '78400.kh', 'p': 89, 'prec': 20, 'unit': 9548311303946188973745348045793560746, 'val': 1}
  • id: 4038680
    {'lmfdb_iso': '78400.kh', 'p': 97, 'prec': 20, 'unit': 33064044706262302442994998608831546519, 'val': 1}