Elliptic curve data - 32192.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': '32192bd', 'Clabel': '32192bd1', 'Cnumber': 1, 'abc_quality': 0.9346582955336199, 'absD': 521271406592, 'adelic_genus': 1, 'adelic_index': 12, 'adelic_level': 6036, 'ainvs': [0, 0, 0, 1436, 27712], 'analytic_rank': 1, 'bad_primes': [2, 503], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 32192, 'degree': 57600, 'elladic_images': ['3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.93348452288721138339642482111', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [79951586112, 127263527], 'lmfdb_iso': '32192.c', 'lmfdb_label': '32192.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 359, -3464], 'min_quad_twist_disc': -8, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '12.6.0.d.1', '1006.2.0.?', '3018.6.1.?', '6036.12.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.35623412136966618796536397648', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24033734232726607397919269965', 'prec': 103}, 'szpiro_ratio': 3.27399920309119, '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, -3, 0, 2, 0, -3, 0, 6, 0, -3, 0, -3, 0, -6, 0, 2, 0, 6, 0], 'aplist': [0, -3, 2, -3, -3, -3, 2, 6, -3, -2, -6, 2, 10, -3, -9, -2, 12, 1, 9, -12, 6, 0, 9, 16, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 32192, 'isogeny_matrix': [[1]], 'lmfdb_iso': '32192.c', 'trace_hash': 735077349158798177}
• 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': '0.15459151223761282156310013798', 'prec': 103}, 'conductor': 32192, 'gens': [[156, 2012, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.35623412136966618796536397648', 'prec': 103}], 'lmfdb_label': '32192.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.63205612781517262604510134420', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7019195121826174030242652723419283888', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-4, 156]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 3, 0], '5': [1, 0], '7': [3, 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], '503': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '32192.c1'}
• ec_torsion_growth •

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

  
  
  • id: 1602978
    {'degree': 3, 'field': [8, 2, -1, 1], 'lmfdb_label': '32192.c1', 'torsion': [2]}
  • id: 1602979
    {'degree': 6, 'field': [256, -176, 156, -32, 11, 0, 1], 'lmfdb_label': '32192.c1', 'torsion': [2, 2]}
  • id: 1602980
    {'degree': 8, 'field': [-3, 0, 0, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '32192.c1', 'torsion': [3]}
  • id: 1602981
    {'degree': 12, 'field': [-201200, 0, -224584, 0, -127463, 0, -2230, 0, 1258, 0, 50, 0, 1], 'lmfdb_label': '32192.c1', 'torsion': [4]}
  • id: 1602982
    {'degree': 16, 'field': [9, 0, 0, 0, -18, 0, 0, 0, 39, 0, 0, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '32192.c1', 'torsion': [3, 3]}
• 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: 752480
    {'conductor': 32192, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '32192.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 752481
    {'conductor': 32192, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '32192.c1', 'prime': 503, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1879069
    {'adelic_gens': [[3019, 4, 4, 17], [2017, 6, 15, 19], [1, 0, 6, 1], [6031, 6, 6030, 7], [1, 4028, 4, 2029], [6, 5, 6025, 6027], [1, 6, 0, 1]], 'adelic_image': '6036.12.1.?', 'conductor': 32192, 'lmfdb_label': '32192.c1', 'prime': 0}
  • id: 143784
    {'conductor': 32192, 'elladic_image': '3.3.0.1', 'lmfdb_label': '32192.c1', 'modell_image': '3Nn', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1567847
    {'lmfdb_iso': '32192.c', 'p': 5, 'prec': 20, 'unit': 16041280189966, 'val': 1}
  • id: 1567848
    {'lmfdb_iso': '32192.c', 'p': 7, 'prec': 20, 'unit': 16884829304250, 'val': 3}
  • id: 1567849
    {'lmfdb_iso': '32192.c', 'p': 11, 'prec': 20, 'unit': 12326315379489145860, 'val': 1}
  • id: 1567850
    {'lmfdb_iso': '32192.c', 'p': 13, 'prec': 20, 'unit': 6307168574274440260, 'val': 1}
  • id: 1567851
    {'lmfdb_iso': '32192.c', 'p': 17, 'prec': 20, 'unit': 88073342844731424163336, 'val': 1}
  • id: 1567852
    {'lmfdb_iso': '32192.c', 'p': 19, 'prec': 20, 'unit': 436087702881738689989995, 'val': 1}
  • id: 1567853
    {'lmfdb_iso': '32192.c', 'p': 23, 'prec': 20, 'unit': 34562618883742839520079461, 'val': 1}
  • id: 1567854
    {'lmfdb_iso': '32192.c', 'p': 29, 'prec': 20, 'unit': 5240748800879993250897541887, 'val': 1}
  • id: 1567855
    {'lmfdb_iso': '32192.c', 'p': 31, 'prec': 20, 'unit': 2270636418631301354805939297, 'val': 1}
  • id: 1567856
    {'lmfdb_iso': '32192.c', 'p': 37, 'prec': 20, 'unit': 389836768172276048655680531805, 'val': 1}
  • id: 1567857
    {'lmfdb_iso': '32192.c', 'p': 41, 'prec': 20, 'unit': 2171610199817843063015843162244, 'val': 1}
  • id: 1567858
    {'lmfdb_iso': '32192.c', 'p': 43, 'prec': 20, 'unit': 3639644500799373199657910857741, 'val': 1}
  • id: 1567859
    {'lmfdb_iso': '32192.c', 'p': 47, 'prec': 20, 'unit': 18634502075923497739274037067242, 'val': 1}
  • id: 1567860
    {'lmfdb_iso': '32192.c', 'p': 53, 'prec': 20, 'unit': 460923537739732712413076660789622, 'val': 1}
  • id: 1567861
    {'lmfdb_iso': '32192.c', 'p': 59, 'prec': 20, 'unit': 1104114089726130562886034135237918, 'val': 1}
  • id: 1567862
    {'lmfdb_iso': '32192.c', 'p': 61, 'prec': 20, 'unit': 155658461782357891660808908410011266, 'val': -1}
  • id: 1567863
    {'lmfdb_iso': '32192.c', 'p': 67, 'prec': 20, 'unit': 10360298974093579205324148029732563, 'val': 1}
  • id: 1567864
    {'lmfdb_iso': '32192.c', 'p': 71, 'prec': 20, 'unit': 33666743650830309627487963372321314, 'val': 1}
  • id: 1567865
    {'lmfdb_iso': '32192.c', 'p': 73, 'prec': 20, 'unit': 192478424105385138655998703061472814, 'val': 1}
  • id: 1567866
    {'lmfdb_iso': '32192.c', 'p': 83, 'prec': 20, 'unit': 853449266869549356392507951906997453, 'val': 1}
  • id: 1567867
    {'lmfdb_iso': '32192.c', 'p': 89, 'prec': 20, 'unit': 6870319970185008830460184885701093565, 'val': 1}
  • id: 1567868
    {'lmfdb_iso': '32192.c', 'p': 97, 'prec': 20, 'unit': 55369997341386566378472459190131555584, 'val': 1}