Elliptic curve data - 3192.d2

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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': '3192n', 'Clabel': '3192n2', 'Cnumber': 2, 'abc_quality': 0.9014371334325909, 'absD': 163021824, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, -1, 0, -1064, -12996], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3192, 'degree': 1536, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48577927644827116135637716624', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [130213720228, 159201], 'lmfdb_iso': '3192.d', 'lmfdb_label': '3192.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1064, -12996], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '56.24.0-56.a.1.4', '228.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1780519098232179726286603542', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1064], [7, 8, 456], [19, 20, 168]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.091843374018349929824649601642', 'prec': 110}, 'szpiro_ratio': 4.031022609042975, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, -1, 0, -2, 0, 1, 0, 1, 0, 0, 0, -2, 0, 2, 0, 6, 0, -1, 0], 'aplist': [0, -1, -2, 1, 0, -2, 6, -1, 0, -10, -4, 2, 10, 4, 12, -2, -4, -2, 8, 0, -6, -8, -4, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 3192, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3192.d', 'trace_hash': 1671375348500563348}
• 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': '0.37849267731009805012573275792', 'prec': 103}, 'conductor': 3192, 'gens': [[45, 168, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1780519098232179726286603542', 'prec': 100}], 'lmfdb_label': '3192.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83591481406106803268555281609', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6565806712762974023768115369591431479', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-18, 0, 1], [38, 0, 1]], 'xcoord_integral_points': [-19, -18, 38, 45, 494]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': [1, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '3192.d2'}
• ec_torsion_growth •

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

  
  
  • id: 166670
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 4]}
  • id: 166672
    {'degree': 4, 'field': [-14, 56, -55, -2, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 4]}
  • id: 166671
    {'degree': 4, 'field': [196, 0, 29, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 4]}
  • id: 166675
    {'degree': 8, 'field': [-3, 0, 904, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 6]}
  • id: 166674
    {'degree': 8, 'field': [1, 0, -4, 0, 902, 0, -4, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 8]}
  • id: 166673
    {'degree': 8, 'field': [62818, 15484, 3234, 784, 1331, -28, 58, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [4, 4]}
  • id: 166676
    {'degree': 16, 'field': [3249, -25992, 103968, -259920, 442320, -522576, 423168, -220248, 66478, -12376, 7424, -2896, 592, -80, 32, -8, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 8]}
  • id: 166678
    {'degree': 16, 'field': [120472576, 0, 17210368, 0, 614656, 0, -1185408, 0, 291648, 0, 8064, 0, 3136, 0, 112, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 12]}
  • id: 166677
    {'degree': 16, 'field': [391415399424, 0, -111832971264, 0, 8058140160, 0, -430434816, 0, 18772096, 0, -523712, 0, 12432, 0, -224, 0, 1], 'lmfdb_label': '3192.d2', 'torsion': [2, 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: 57743
    {'conductor': 3192, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3192.d2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 57744
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3192.d2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 57745
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3192.d2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 57746
    {'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3192.d2', 'prime': 19, 'reduction_type': -1, '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: 1684726
    {'adelic_gens': [[2129, 4, 1066, 9], [1, 4, 0, 1], [799, 4, 1598, 9], [1009, 4, 2018, 9], [2739, 2, 1366, 3191], [3189, 4, 3188, 5], [1, 0, 4, 1], [1599, 2, 3190, 3191]], 'adelic_image': '3192.48.0.?', 'conductor': 3192, 'lmfdb_label': '3192.d2', 'prime': 0}
  • id: 15997
    {'conductor': 3192, 'elladic_image': '4.12.0.1', 'lmfdb_label': '3192.d2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 104858
    {'lmfdb_iso': '3192.d', 'p': 5, 'prec': 20, 'unit': 18297612615184, 'val': 1}
  • id: 104848
    {'lmfdb_iso': '3192.d', 'p': 13, 'prec': 20, 'unit': 609644157907393159394, 'val': 1}
  • id: 104850
    {'lmfdb_iso': '3192.d', 'p': 17, 'prec': 20, 'unit': 223686213760059818327411, 'val': 1}
  • id: 104847
    {'lmfdb_iso': '3192.d', 'p': 29, 'prec': 20, 'unit': 2974045766346451563002463828, 'val': 1}
  • id: 104844
    {'lmfdb_iso': '3192.d', 'p': 31, 'prec': 20, 'unit': 2198642087243498278896084339, 'val': 1}
  • id: 104843
    {'lmfdb_iso': '3192.d', 'p': 37, 'prec': 20, 'unit': 575246411757706098845914465281, 'val': 1}
  • id: 104845
    {'lmfdb_iso': '3192.d', 'p': 41, 'prec': 20, 'unit': 1708961421625697819386509721104, 'val': 1}
  • id: 104846
    {'lmfdb_iso': '3192.d', 'p': 43, 'prec': 20, 'unit': 1142821386485217980313716434743, 'val': 1}
  • id: 104856
    {'lmfdb_iso': '3192.d', 'p': 47, 'prec': 20, 'unit': 1023536223557272292781839377521, 'val': 2}
  • id: 104852
    {'lmfdb_iso': '3192.d', 'p': 53, 'prec': 20, 'unit': 379215061353208295055756492155985, 'val': 1}
  • id: 104853
    {'lmfdb_iso': '3192.d', 'p': 59, 'prec': 20, 'unit': 590092516533898693621137592498202, 'val': 1}
  • id: 104857
    {'lmfdb_iso': '3192.d', 'p': 61, 'prec': 20, 'unit': 7453698438474608386888599609454374, 'val': 1}
  • id: 104842
    {'lmfdb_iso': '3192.d', 'p': 67, 'prec': 20, 'unit': 2997536423305764771887114813359135, 'val': 1}
  • id: 104854
    {'lmfdb_iso': '3192.d', 'p': 73, 'prec': 20, 'unit': 134261891752555626243130601039937105, 'val': 1}
  • id: 104849
    {'lmfdb_iso': '3192.d', 'p': 79, 'prec': 20, 'unit': 1123680667712487155470111176870806031, 'val': 1}
  • id: 104851
    {'lmfdb_iso': '3192.d', 'p': 83, 'prec': 20, 'unit': 148617812244199384481217953082716165, 'val': 1}
  • id: 104855
    {'lmfdb_iso': '3192.d', 'p': 89, 'prec': 20, 'unit': 5530788297636842842265106097101799011, 'val': 1}
  • id: 104841
    {'lmfdb_iso': '3192.d', 'p': 97, 'prec': 20, 'unit': 41973074244616650583358379812018012201, 'val': 1}