Elliptic curve data - 79934.a1

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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': '79934b', 'Clabel': '79934b1', 'Cnumber': 1, 'abc_quality': 0.7430872508874393, 'absD': 2717756, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 4702, 'ainvs': [1, 1, 0, -59, 169], 'analytic_rank': 3, 'bad_primes': [2, 17, 2351], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 79934, 'degree': 17280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.029259574189714838122505681107', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [-23320116793, 2717756], 'lmfdb_iso': '79934.a', 'lmfdb_label': '79934.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -59, 169], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['4702.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 28, 'optimality': 1, 'potential_good_reduction': False, 'rank': 3, 'regulator': {'__RealLiteral__': 0, 'data': '0.72889521652498805492501505507', 'prec': 97}, 'semistable': True, 'serre_invariants': [[2, 4, 2351], [17, 18, 4702], [2351, 2352, 34]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.029259574189714838122505681107', 'prec': 97}, 'szpiro_ratio': 2.130937053757413, '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, -1, 1, -3, 1, -3, -1, -2, 3, -4, -1, -4, 3, 3, 1, 1, 2, -4, -3], 'aplist': [-1, -1, -3, -3, -4, -4, 1, -4, -3, -6, -5, -2, 2, -9, -8, -12, 1, 0, -8, -12, -2, -5, 14, -10, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 79934, 'isogeny_matrix': [[1]], 'lmfdb_iso': '79934.a', 'trace_hash': 2154036125087822333}
• 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': '1.0602652878622479790463539495', 'prec': 97}, 'conductor': 79934, 'gens': [[8, 13, 1], [-9, 13, 1], [15, 19, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '0.43919844996870626446773685271', 'prec': 97}, {'__RealLiteral__': 0, 'data': '1.1722341933607610615207743753', 'prec': 97}, {'__RealLiteral__': 0, 'data': '1.6758588845583198461092430966', 'prec': 97}], 'lmfdb_label': '79934.a1', 'ngens': 3, 'rank_bounds': [3, 3], 'real_period': {'__RealLiteral__': 0, 'data': '2.4835733045789457954335258668', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2410588063870032121976175597223607699', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-9, -4, 0, 2, 3, 5, 8, 12, 21, 42, 107, 161, 176, 3153]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [11, 0], '5': [3, 0], '7': [3, 0], '11': [3, 0], '13': [3, 0], '17': [4, 0], '19': [3, 0], '23': [3, 0], '29': [3, 0], '31': [3, 0], '37': [3, 0], '41': [3, 0], '43': [3, 0], '47': [3, 0], '2351': 'o?'}, 'iwp0': 0, 'lmfdb_label': '79934.a1'}
• ec_torsion_growth •

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

  
  
  • id: 3765513
    {'degree': 3, 'field': [16, 6, -1, 1], 'lmfdb_label': '79934.a1', 'torsion': [2]}
  • id: 3765514
    {'degree': 6, 'field': [608, 1054, 761, 36, -26, -2, 1], 'lmfdb_label': '79934.a1', 'torsion': [2, 2]}
  • id: 3765515
    {'degree': 8, 'field': [-90490, -20387, 19316, 2141, -1067, -7, 7, -4, 1], 'lmfdb_label': '79934.a1', 'torsion': [3]}
  • id: 3765516
    {'degree': 12, 'field': [11269534, 14008114, 4465087, -1045760, -960731, -127982, 54487, 13440, -961, -278, -7, 0, 1], 'lmfdb_label': '79934.a1', '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: 1945363
    {'conductor': 79934, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '79934.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1945364
    {'conductor': 79934, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '79934.a1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1945365
    {'conductor': 79934, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '79934.a1', 'prime': 2351, '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': [[4701, 2, 4700, 3], [1, 1, 4701, 0], [1, 0, 2, 1], [1, 2, 0, 1], [13, 2, 13, 3]], 'adelic_image': '4702.2.0.?', 'conductor': 79934, 'lmfdb_label': '79934.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4118993
    {'lmfdb_iso': '79934.a', 'p': 5, 'prec': 20, 'unit': 5532939486629, 'val': 3}
  • id: 4118994
    {'lmfdb_iso': '79934.a', 'p': 7, 'prec': 20, 'unit': 7849087980411534, 'val': 3}
  • id: 4119000
    {'lmfdb_iso': '79934.a', 'p': 11, 'prec': 20, 'unit': 47955166716857228748, 'val': 3}
  • id: 4118998
    {'lmfdb_iso': '79934.a', 'p': 13, 'prec': 20, 'unit': 424048936298295189025, 'val': 3}
  • id: 4119002
    {'lmfdb_iso': '79934.a', 'p': 19, 'prec': 20, 'unit': 763998088352807631493401, 'val': 3}
  • id: 4119005
    {'lmfdb_iso': '79934.a', 'p': 23, 'prec': 20, 'unit': 19820487265339372970023754, 'val': 3}
  • id: 4119009
    {'lmfdb_iso': '79934.a', 'p': 29, 'prec': 20, 'unit': 3350813209589429200896288129, 'val': 3}
  • id: 4118995
    {'lmfdb_iso': '79934.a', 'p': 31, 'prec': 20, 'unit': 16179570073046096977787911574, 'val': 3}
  • id: 4119010
    {'lmfdb_iso': '79934.a', 'p': 37, 'prec': 20, 'unit': 178652753336427113335307948064, 'val': 3}
  • id: 4118996
    {'lmfdb_iso': '79934.a', 'p': 41, 'prec': 20, 'unit': 3864136676859302477608461753361, 'val': 3}
  • id: 4118997
    {'lmfdb_iso': '79934.a', 'p': 43, 'prec': 20, 'unit': 10190693896053950685326972083521, 'val': 3}
  • id: 4119008
    {'lmfdb_iso': '79934.a', 'p': 47, 'prec': 20, 'unit': 20621336934252056617439301421352, 'val': 3}
  • id: 4119003
    {'lmfdb_iso': '79934.a', 'p': 53, 'prec': 20, 'unit': 477718918139089454166391334960939, 'val': 3}
  • id: 4119001
    {'lmfdb_iso': '79934.a', 'p': 59, 'prec': 20, 'unit': 3513339355741570498072974261, 'val': 1}
  • id: 4118992
    {'lmfdb_iso': '79934.a', 'p': 67, 'prec': 20, 'unit': 44398450935467680239312242672831258, 'val': 3}
  • id: 4119007
    {'lmfdb_iso': '79934.a', 'p': 71, 'prec': 20, 'unit': 10639292994212440652212124940646458, 'val': 3}
  • id: 4119004
    {'lmfdb_iso': '79934.a', 'p': 73, 'prec': 20, 'unit': 148102270295811918617518137726435534, 'val': 3}
  • id: 4118999
    {'lmfdb_iso': '79934.a', 'p': 79, 'prec': 20, 'unit': 906869292160504221087438510900630943, 'val': 3}
  • id: 4118991
    {'lmfdb_iso': '79934.a', 'p': 83, 'prec': 20, 'unit': 611219635732128115111089681987363481, 'val': 3}
  • id: 4119006
    {'lmfdb_iso': '79934.a', 'p': 89, 'prec': 20, 'unit': 10355983255971738232149460677324239592, 'val': 3}
  • id: 4118990
    {'lmfdb_iso': '79934.a', 'p': 97, 'prec': 20, 'unit': 28934029747762346875417677395879485690, 'val': 3}