Elliptic curve data - 1710.p2

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• 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': '1710m', 'Clabel': '1710m1', 'Cnumber': 1, 'absD': 13132800, 'ainvs': [1, -1, 1, -62, -51], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1710, 'degree': 640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.058432833742801019981747657423', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [961504803, 486400], 'lmfdb_iso': '1710.p', 'lmfdb_label': '1710.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -62, -51], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.21641423848949249420867574347', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21622023842422640286706365181', 'prec': 107}, '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, 1, 0, 1, 1, 0, -4, 1, 0, 1, -6, 0, 0, -4, 0, 1, 4, 0, -1, 1], 'aplist': [1, 0, 1, -4, -6, 0, 4, -1, -4, -10, -2, -4, 10, -12, 0, -6, 4, -10, -8, 0, 6, -10, 14, 10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 1710, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1710.p', 'trace_hash': 740513471015674605}
• 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': '0.88970470140592181101173146059', 'prec': 103}, 'conductor': 1710, 'gens': [[-3, 11, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.21641423848949249420867574347', 'prec': 103}], 'lmfdb_label': '1710.p2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.7968941740056615474051355753', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8887348431364086253065276148220462382', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-7, 3, 1]], 'xcoord_integral_points': [-7, -3, -1, 9, 17, 47, 93]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '1710.p2'}
• ec_torsion_growth •

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

  
  
  • id: 86763
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '1710.p2', 'torsion': [2, 2]}
  • id: 86764
    {'degree': 4, 'field': [10, 4, 3, -2, 1], 'lmfdb_label': '1710.p2', 'torsion': [4]}
  • id: 86765
    {'degree': 8, 'field': [-22796, 6436, 2800, 1174, -233, -164, -32, -2, 1], 'lmfdb_label': '1710.p2', 'torsion': [2, 4]}
  • id: 86767
    {'degree': 8, 'field': [-242, 110, -92, -49, 58, -43, 19, -4, 1], 'lmfdb_label': '1710.p2', 'torsion': [6]}
  • id: 86766
    {'degree': 8, 'field': [196, 476, 503, 278, 151, 16, -19, -2, 1], 'lmfdb_label': '1710.p2', 'torsion': [2, 4]}
  • id: 86769
    {'degree': 16, 'field': [11872, 12560, -4792, -13792, 2952, 3782, -578, 2074, -5889, 7060, -5416, 2834, -988, 210, -10, -8, 1], 'lmfdb_label': '1710.p2', 'torsion': [2, 6]}
  • id: 86768
    {'degree': 16, 'field': [64000, 76800, 108800, 69120, 17840, -14784, 57296, 81600, 10828, -22896, -6824, 2592, 1100, -72, -56, 0, 1], 'lmfdb_label': '1710.p2', 'torsion': [8]}
• 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: 27264
    {'conductor': 1710, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '1710.p2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 27265
    {'conductor': 1710, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1710.p2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 27266
    {'conductor': 1710, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1710.p2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 27267
    {'conductor': 1710, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1710.p2', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  {'conductor': 1710, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1710.p2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 47242
    {'lmfdb_iso': '1710.p', 'p': 7, 'prec': 20, 'unit': 7870773137977566, 'val': 1}
  • id: 47240
    {'lmfdb_iso': '1710.p', 'p': 11, 'prec': 20, 'unit': 14306990711403540606, 'val': 1}
  • id: 47247
    {'lmfdb_iso': '1710.p', 'p': 17, 'prec': 20, 'unit': 193801387105518333104711, 'val': 1}
  • id: 47251
    {'lmfdb_iso': '1710.p', 'p': 23, 'prec': 20, 'unit': 18144900904505175619407982, 'val': 1}
  • id: 47245
    {'lmfdb_iso': '1710.p', 'p': 29, 'prec': 20, 'unit': 3304594987064979641553976957, 'val': 1}
  • id: 47255
    {'lmfdb_iso': '1710.p', 'p': 31, 'prec': 20, 'unit': 4720365463049279125652936263, 'val': 1}
  • id: 47241
    {'lmfdb_iso': '1710.p', 'p': 37, 'prec': 20, 'unit': 465595103977295656556310594866, 'val': 1}
  • id: 47243
    {'lmfdb_iso': '1710.p', 'p': 41, 'prec': 20, 'unit': 4320328416400376083669243836381, 'val': 1}
  • id: 47244
    {'lmfdb_iso': '1710.p', 'p': 43, 'prec': 20, 'unit': 7910144659882639986497345213191, 'val': 1}
  • id: 47249
    {'lmfdb_iso': '1710.p', 'p': 53, 'prec': 20, 'unit': 262507385347281383923214515289783, 'val': 1}
  • id: 47253
    {'lmfdb_iso': '1710.p', 'p': 59, 'prec': 20, 'unit': 767741102950039248237693385217387, 'val': 1}
  • id: 47254
    {'lmfdb_iso': '1710.p', 'p': 61, 'prec': 20, 'unit': 2191854477902576612237030480901015, 'val': 1}
  • id: 47239
    {'lmfdb_iso': '1710.p', 'p': 67, 'prec': 20, 'unit': 29932101891210961376522719190463717, 'val': 1}
  • id: 47250
    {'lmfdb_iso': '1710.p', 'p': 73, 'prec': 20, 'unit': 6484459873336295179094361819517227, 'val': 1}
  • id: 47246
    {'lmfdb_iso': '1710.p', 'p': 79, 'prec': 20, 'unit': 721878404110657661819601722288895270, 'val': 1}
  • id: 47248
    {'lmfdb_iso': '1710.p', 'p': 83, 'prec': 20, 'unit': 2435029872397113051396167329567048153, 'val': 1}
  • id: 47252
    {'lmfdb_iso': '1710.p', 'p': 89, 'prec': 20, 'unit': 5699877868957620917007577709681754422, 'val': 1}
  • id: 47238
    {'lmfdb_iso': '1710.p', 'p': 97, 'prec': 20, 'unit': 43304832460159494297415166158684543802, 'val': 1}