Elliptic curve data - 43706.x1

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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': '43706v', 'Clabel': '43706v2', 'Cnumber': 2, 'abc_quality': 1.0626891964834324, 'absD': 596123993436321194, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 29848, 'ainvs': [1, -1, 1, -357528, -90190667], 'analytic_rank': 1, 'bad_primes': [2, 13, 41], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 43706, 'degree': 987840, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1465805594555384671293887565', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 23, 'isogeny_degrees': [1, 7], 'jinv': [-1064019559329, 125497034], 'lmfdb_iso': '43706.x', 'lmfdb_label': '43706.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -213, -1257], 'min_quad_twist_disc': 41, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '104.2.0.?', '287.48.0.?', '728.48.2.?', '29848.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.237130501418277057422351449', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21853], [7, 2, 3362], [13, 14, 3362], [41, 842, 26]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28979452610338456519600706998', 'prec': 103}, 'szpiro_ratio': 4.69432567573775, '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, 3, 1, -1, 3, -1, 1, 6, -1, 2, 3, 1, -1, -3, 1, 3, 6, -6, -1], 'aplist': [1, 3, -1, -1, 2, 1, 3, -6, -4, -2, 4, 3, 0, -5, -13, -12, -10, -8, 2, 5, -10, 4, 0, -6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 43706, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '43706.x', 'trace_hash': 2088953453560811210}
• 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': '0.013661670801154524548735253419', 'prec': 107}, 'conductor': 43706, 'gens': [[2795851, 4537771859, 30]], 'heights': [{'__RealLiteral__': 0, 'data': '11.237130501418277057422351449', 'prec': 100}], 'lmfdb_label': '43706.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.096978494641549222271112937597', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.256640001654543895864554361288641774', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 1, 0], '5': [1, 0], '7': [1, 1], '11': [1, 0], '13': [4, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': 'a', '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '43706.x1'}
• ec_torsion_growth •

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

  
  
  • id: 2142046
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '43706.x1', 'torsion': [2]}
  • id: 2142047
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '43706.x1', 'torsion': [2, 2]}
  • id: 2142048
    {'degree': 6, 'field': [8471, -1471, 1471, -71, 71, -1, 1], 'lmfdb_label': '43706.x1', 'torsion': [7]}
  • id: 2142049
    {'degree': 8, 'field': [-31314, 12126, 21240, 6591, 1026, -57, -9, 0, 1], 'lmfdb_label': '43706.x1', 'torsion': [3]}
  • id: 2142050
    {'degree': 12, 'field': [-9714473344, -3838000768, 380129568, 128563328, 54450248, -248104, 260278, -62188, 3103, -604, 116, 0, 1], 'lmfdb_label': '43706.x1', 'torsion': [4]}
  • id: 2142051
    {'degree': 14, 'field': [-9983054, -7041454, 4923142, 3833130, -1082830, -912982, 150444, 119415, -15043, -9121, 1085, 385, -49, -7, 1], 'lmfdb_label': '43706.x1', 'torsion': [7]}
  • id: 2142052
    {'degree': 18, 'field': [919078588499, -449836832747, 438773929884, -155645052964, 92759695019, -23321888373, 10698522692, -1916842587, 751675620, -94730757, 34180036, -2925927, 1019454, -55899, 19293, -612, 210, -3, 1], 'lmfdb_label': '43706.x1', 'torsion': [14]}
• 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: 1039402
    {'conductor': 43706, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '43706.x1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1039403
    {'conductor': 43706, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '43706.x1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 1039404
    {'conductor': 43706, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '43706.x1', 'prime': 41, 'reduction_type': 0, '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: 1955618
    {'adelic_gens': [[15287, 0, 0, 29847], [1641, 15088, 25830, 11481], [29835, 14, 29834, 15], [8, 5, 91, 57], [9472, 9471, 27839, 20378], [1, 14, 0, 1], [11768, 9471, 29561, 20378], [1, 0, 14, 1], [9472, 9471, 5453, 20378]], 'adelic_image': '29848.96.2.?', 'conductor': 43706, 'lmfdb_label': '43706.x1', 'prime': 0}
  • id: 190442
    {'conductor': 43706, 'elladic_image': '7.24.0.2', 'lmfdb_label': '43706.x1', 'modell_image': '7B.6.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 2179825
    {'lmfdb_iso': '43706.x', 'p': 5, 'prec': 20, 'unit': 7068395221756, 'val': 1}
  • id: 2179826
    {'lmfdb_iso': '43706.x', 'p': 7, 'prec': 20, 'unit': 35686698126747524, 'val': 0}
  • id: 2179832
    {'lmfdb_iso': '43706.x', 'p': 11, 'prec': 20, 'unit': 26879375228430888298, 'val': 1}
  • id: 2179833
    {'lmfdb_iso': '43706.x', 'p': 17, 'prec': 20, 'unit': 7113949734788995149790, 'val': 2}
  • id: 2179834
    {'lmfdb_iso': '43706.x', 'p': 19, 'prec': 20, 'unit': 1796355935593717110259846, 'val': 1}
  • id: 2179837
    {'lmfdb_iso': '43706.x', 'p': 23, 'prec': 20, 'unit': 60694574357311812712475930, 'val': 1}
  • id: 2179830
    {'lmfdb_iso': '43706.x', 'p': 29, 'prec': 20, 'unit': 2766532655433674304461881480, 'val': 1}
  • id: 2179827
    {'lmfdb_iso': '43706.x', 'p': 31, 'prec': 20, 'unit': 13071695817715893662620384376, 'val': 1}
  • id: 2179842
    {'lmfdb_iso': '43706.x', 'p': 37, 'prec': 20, 'unit': 361255583313145557025731084714, 'val': 1}
  • id: 2179829
    {'lmfdb_iso': '43706.x', 'p': 43, 'prec': 20, 'unit': 3488749743191415243419423008924, 'val': 1}
  • id: 2179840
    {'lmfdb_iso': '43706.x', 'p': 47, 'prec': 20, 'unit': 6515509082068330123236059771628, 'val': 1}
  • id: 2179835
    {'lmfdb_iso': '43706.x', 'p': 53, 'prec': 20, 'unit': 505302040186890020260561627147704, 'val': 1}
  • id: 2179836
    {'lmfdb_iso': '43706.x', 'p': 59, 'prec': 20, 'unit': 4210094564642511080912340270862846, 'val': 1}
  • id: 2179841
    {'lmfdb_iso': '43706.x', 'p': 61, 'prec': 20, 'unit': 7511774082481916776718970629587831, 'val': 1}
  • id: 2179824
    {'lmfdb_iso': '43706.x', 'p': 67, 'prec': 20, 'unit': 43518098355975773207792235382191868, 'val': 1}
  • id: 2179839
    {'lmfdb_iso': '43706.x', 'p': 71, 'prec': 20, 'unit': 133808601941751021919154902432261941, 'val': 1}
  • id: 2179828
    {'lmfdb_iso': '43706.x', 'p': 73, 'prec': 20, 'unit': 1457928025906251220534591923883405, 'val': 1}
  • id: 2179831
    {'lmfdb_iso': '43706.x', 'p': 79, 'prec': 20, 'unit': 146787911322282136101290440300362007, 'val': 1}
  • id: 2179838
    {'lmfdb_iso': '43706.x', 'p': 89, 'prec': 20, 'unit': 6546147126783172406928317181343209597, 'val': 1}
  • id: 2179823
    {'lmfdb_iso': '43706.x', 'p': 97, 'prec': 20, 'unit': 36572443057604307937056893220124949862, 'val': 1}