Elliptic curve data - 832.g1

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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': '832a', 'Clabel': '832a1', 'Cnumber': 1, 'abc_quality': 0.9535947065225968, 'absD': 425984, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 104, 'ainvs': [0, 1, 0, -1, 31], 'analytic_rank': 1, 'bad_primes': [2, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 832, 'degree': 64, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.24083969072863423484611294999', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [-8, 13], 'lmfdb_iso': '832.g', 'lmfdb_label': '832.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, 4], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['104.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25011590109174117559846559043', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 13], [13, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1072736664285658716176531018', 'prec': 103}, 'szpiro_ratio': 3.0365469777663914, '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, 0, 1, 0, -1, 0, -3, 0, -2, 0, 2, 0, -1, 0, -1, 0, -3, 0, 2, 0], 'aplist': [0, 1, -1, -3, 2, -1, -3, 2, -4, -2, -4, -5, -12, 7, 9, -4, 6, 4, -10, 15, -2, 8, -4, 2, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 832, 'isogeny_matrix': [[1]], 'lmfdb_iso': '832.g', 'trace_hash': 344890549080001445}
• 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': '1.6187906877789252806255285315', 'prec': 100}, 'conductor': 832, 'gens': [[3, 8, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.25011590109174117559846559043', 'prec': 103}], 'lmfdb_label': '832.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.4007898237626860094906063445', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4019028404091468089626375677163241175', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-3, 3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [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': '832.g1'}
• ec_torsion_growth •

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

  
  
  • id: 38923
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '832.g1', 'torsion': [2]}
  • id: 38924
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '832.g1', 'torsion': [2, 2]}
  • id: 38925
    {'degree': 8, 'field': [-27, 0, -144, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '832.g1', 'torsion': [3]}
  • id: 38926
    {'degree': 12, 'field': [-16, 112, -28, 264, -228, 28, 119, -90, 25, -8, 11, -6, 1], 'lmfdb_label': '832.g1', '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: 10738
    {'conductor': 832, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '832.g1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10739
    {'conductor': 832, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '832.g1', 'prime': 13, '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': [[41, 2, 41, 3], [1, 2, 0, 1], [53, 2, 53, 3], [1, 0, 2, 1], [103, 2, 102, 3], [1, 1, 103, 0], [79, 2, 79, 3]], 'adelic_image': '104.2.0.?', 'conductor': 832, 'lmfdb_label': '832.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 16879
    {'lmfdb_iso': '832.g', 'p': 5, 'prec': 20, 'unit': 11317681068284, 'val': 1}
  • id: 16880
    {'lmfdb_iso': '832.g', 'p': 7, 'prec': 20, 'unit': 10464025626876861, 'val': 1}
  • id: 16881
    {'lmfdb_iso': '832.g', 'p': 11, 'prec': 20, 'unit': 40302870685793568029, 'val': 1}
  • id: 16882
    {'lmfdb_iso': '832.g', 'p': 17, 'prec': 20, 'unit': 172880810982092690590032, 'val': 1}
  • id: 16883
    {'lmfdb_iso': '832.g', 'p': 19, 'prec': 20, 'unit': 1417771975183754308002573, 'val': 1}
  • id: 16884
    {'lmfdb_iso': '832.g', 'p': 23, 'prec': 20, 'unit': 39775209989895857786235015, 'val': 1}
  • id: 16885
    {'lmfdb_iso': '832.g', 'p': 29, 'prec': 20, 'unit': 5104553963462897976414691314, 'val': 1}
  • id: 16886
    {'lmfdb_iso': '832.g', 'p': 31, 'prec': 20, 'unit': 10913965285191456479126061067, 'val': 1}
  • id: 16887
    {'lmfdb_iso': '832.g', 'p': 37, 'prec': 20, 'unit': 601997687789988288954139188554, 'val': 1}
  • id: 16888
    {'lmfdb_iso': '832.g', 'p': 41, 'prec': 20, 'unit': 2022452700567381973736787428771, 'val': 1}
  • id: 16889
    {'lmfdb_iso': '832.g', 'p': 43, 'prec': 20, 'unit': 5708649988361434900370052823083, 'val': 1}
  • id: 16890
    {'lmfdb_iso': '832.g', 'p': 47, 'prec': 20, 'unit': 34412845393826633995995234669263, 'val': 1}
  • id: 16891
    {'lmfdb_iso': '832.g', 'p': 53, 'prec': 20, 'unit': 143975304993055955843492313023798, 'val': 1}
  • id: 16892
    {'lmfdb_iso': '832.g', 'p': 59, 'prec': 20, 'unit': 2396141255556222198875511262549984, 'val': 1}
  • id: 16893
    {'lmfdb_iso': '832.g', 'p': 61, 'prec': 20, 'unit': 200386998662149746867718269617308, 'val': 1}
  • id: 16894
    {'lmfdb_iso': '832.g', 'p': 67, 'prec': 20, 'unit': 12290305485820812549857173741219498, 'val': 1}
  • id: 16895
    {'lmfdb_iso': '832.g', 'p': 71, 'prec': 20, 'unit': 50827863361557455377631986074878185, 'val': 1}
  • id: 16896
    {'lmfdb_iso': '832.g', 'p': 73, 'prec': 20, 'unit': 181246688645974313551748445571820437, 'val': 1}
  • id: 16897
    {'lmfdb_iso': '832.g', 'p': 79, 'prec': 20, 'unit': 949225679087588555934273676786687216, 'val': 1}
  • id: 16898
    {'lmfdb_iso': '832.g', 'p': 83, 'prec': 20, 'unit': 504574121203308026820146996760253104, 'val': 1}
  • id: 16899
    {'lmfdb_iso': '832.g', 'p': 89, 'prec': 20, 'unit': 8946877391761812921244412331395296328, 'val': 1}
  • id: 16900
    {'lmfdb_iso': '832.g', 'p': 97, 'prec': 20, 'unit': 30552146553783540913206816900628915544, 'val': 1}