Elliptic curve data - 71995.c1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '71995t', 'Clabel': '71995t1', 'Cnumber': 1, 'abc_quality': 0.7438572114781482, 'absD': 1054078795, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1190, 'ainvs': [0, -1, 1, -40, -1552], 'analytic_rank': 1, 'bad_primes': [5, 7, 11, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 71995, 'degree': 39200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41072307441479163383688883307', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-4096, 595], 'lmfdb_iso': '71995.c', 'lmfdb_label': '71995.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 1], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['1190.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2802677037870563746974317864', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78822456198439363819408295591', 'prec': 107}, 'szpiro_ratio': 2.5244760730355225, '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, -2, 2, 2, 1, -4, -1, 0, 1, -2, 0, 4, 1, 2, 2, -4, -1, -2, -2, 2], 'aplist': [-2, 2, 1, -1, 0, 1, -1, -2, -1, -2, -5, -1, 3, -4, 1, 6, 6, 5, -6, 16, -4, -4, 15, 14, -4], 'class_deg': 1, 'class_size': 1, 'conductor': 71995, 'isogeny_matrix': [[1]], 'lmfdb_iso': '71995.c', 'trace_hash': 539059195738118282}
• 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': '0.43979518510998320980747554001', 'prec': 103}, 'conductor': 71995, 'gens': [[223, 2951, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2802677037870563746974317864', 'prec': 100}], 'lmfdb_label': '71995.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.69107492244927946589900033260', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5338214980150320214336387280471390179', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': [3, 0], '5': [2, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '71995.c1'}
• ec_torsion_growth •

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

  
  
  • id: 3414512
    {'degree': 3, 'field': [-9, -1, -1, 1], 'lmfdb_label': '71995.c1', 'torsion': [2]}
  • id: 3414513
    {'degree': 6, 'field': [2380, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '71995.c1', 'torsion': [2, 2]}
  • id: 3414514
    {'degree': 8, 'field': [-121105, -3990, 24460, 859, -1623, 9, 16, -2, 1], 'lmfdb_label': '71995.c1', 'torsion': [3]}
  • id: 3414515
    {'degree': 12, 'field': [-464605820, -30242480, -3795856, -16206680, 2206320, 152560, -370180, -14760, -1720, -1040, -20, 0, 1], 'lmfdb_label': '71995.c1', '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: 1745674
    {'conductor': 71995, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71995.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1745675
    {'conductor': 71995, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71995.c1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1745676
    {'conductor': 71995, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '71995.c1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1745677
    {'conductor': 71995, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '71995.c1', 'prime': 17, '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': [[1, 1, 1189, 0], [1189, 2, 1188, 3], [171, 2, 171, 3], [71, 2, 71, 3], [477, 2, 477, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '1190.2.0.?', 'conductor': 71995, 'lmfdb_label': '71995.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3695199
    {'lmfdb_iso': '71995.c', 'p': 13, 'prec': 20, 'unit': 7866736937466368963060, 'val': -1}
  • id: 3695202
    {'lmfdb_iso': '71995.c', 'p': 19, 'prec': 20, 'unit': 1632665829241546074322834, 'val': 1}
  • id: 3695205
    {'lmfdb_iso': '71995.c', 'p': 23, 'prec': 20, 'unit': 2241939585146466076024975, 'val': 2}
  • id: 3695198
    {'lmfdb_iso': '71995.c', 'p': 29, 'prec': 20, 'unit': 3121085417354544564057752906, 'val': 1}
  • id: 3695209
    {'lmfdb_iso': '71995.c', 'p': 31, 'prec': 20, 'unit': 2506833849119006041604084206, 'val': 1}
  • id: 3695194
    {'lmfdb_iso': '71995.c', 'p': 37, 'prec': 20, 'unit': 125322562125881861032158282081, 'val': 1}
  • id: 3695196
    {'lmfdb_iso': '71995.c', 'p': 41, 'prec': 20, 'unit': 4136425009757432338719650649701, 'val': 1}
  • id: 3695197
    {'lmfdb_iso': '71995.c', 'p': 43, 'prec': 20, 'unit': 1992518448783165632594351094479, 'val': 1}
  • id: 3695207
    {'lmfdb_iso': '71995.c', 'p': 47, 'prec': 20, 'unit': 1168216306293670324038050160467773, 'val': -1}
  • id: 3695203
    {'lmfdb_iso': '71995.c', 'p': 53, 'prec': 20, 'unit': 116778840306530849895410024706298, 'val': 1}
  • id: 3695201
    {'lmfdb_iso': '71995.c', 'p': 59, 'prec': 20, 'unit': 3380040426091093916143608873030480, 'val': 1}
  • id: 3695208
    {'lmfdb_iso': '71995.c', 'p': 61, 'prec': 20, 'unit': 5426045228304293584869178248454290, 'val': 1}
  • id: 3695193
    {'lmfdb_iso': '71995.c', 'p': 67, 'prec': 20, 'unit': 15456889208712107800349650909700675, 'val': 1}
  • id: 3695195
    {'lmfdb_iso': '71995.c', 'p': 71, 'prec': 20, 'unit': 17765020229650768183413674425467348, 'val': 1}
  • id: 3695204
    {'lmfdb_iso': '71995.c', 'p': 73, 'prec': 20, 'unit': 238850572410649724542367715436967129, 'val': 1}
  • id: 3695200
    {'lmfdb_iso': '71995.c', 'p': 79, 'prec': 20, 'unit': 290882584563119249472689048571340517, 'val': 1}
  • id: 3695192
    {'lmfdb_iso': '71995.c', 'p': 83, 'prec': 20, 'unit': 1537279136612170373966721256377890306, 'val': 1}
  • id: 3695206
    {'lmfdb_iso': '71995.c', 'p': 89, 'prec': 20, 'unit': 3268654530746229585882417402325054583, 'val': 1}
  • id: 3695191
    {'lmfdb_iso': '71995.c', 'p': 97, 'prec': 20, 'unit': 30783783791496046451522391836203109069, 'val': 1}