Elliptic curve data - 32487.f4

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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': '32487l', 'Clabel': '32487l1', 'Cnumber': 1, 'abc_quality': 0.9352778820672346, 'absD': 3042050193, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 24752, 'ainvs': [1, 0, 0, -26412, -1654353], 'analytic_rank': 1, 'bad_primes': [3, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 32487, 'degree': 49152, 'elladic_images': ['16.24.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0883902489506165622887226050', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [17319700013617, 25857], 'lmfdb_iso': '32487.f', 'lmfdb_label': '32487.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -539, 4592], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.f.1', '28.12.0-4.c.1.2', '34.6.0.a.1', '56.24.0-8.n.1.5', '68.12.0.g.1', '104.24.0.?', '112.48.0.?', '136.24.0.?', '208.48.0.?', '272.48.0.?', '476.24.0.?', '728.48.0.?', '952.48.0.?', '1456.96.0.?', '1768.48.0.?', '1904.96.0.?', '3536.96.1.?', '12376.96.0.?', '24752.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2853589699318821080454301141', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11543517442295990973604623328', 'prec': 103}, 'szpiro_ratio': 4.058135428618457, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, -1, 1, -1, 2, -1, 0, 3, 1, -2, 4, -1, -1, 0, 2, -1, -1, -1, 4, -2], 'aplist': [-1, 1, 2, 0, 4, -1, -1, 4, 0, -2, 8, -2, -2, -4, -8, -10, -4, -14, -4, 0, 14, -8, 4, 6, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 32487, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '32487.f', 'trace_hash': 1380467224825648488}
• 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': '0.11340605456349889339959982825', 'prec': 103}, 'conductor': 32487, 'gens': [[15339, 1786878, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '7.2853589699318821080454301141', 'prec': 100}], 'lmfdb_label': '32487.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37449772672391408388559631081', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4567007452143323777180998356224113168', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-94, 47, 1]], 'xcoord_integral_points': [-94]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [4, 0], '5': [3, 0], '7': 'a', '11': [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': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '32487.f4'}
• ec_torsion_growth •

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

  
  
  • id: 1617285
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 2]}
  • id: 1617287
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '32487.f4', 'torsion': [4]}
  • id: 1617286
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '32487.f4', 'torsion': [4]}
  • id: 1617289
    {'degree': 4, 'field': [25, 0, -3, 0, 1], 'lmfdb_label': '32487.f4', 'torsion': [8]}
  • id: 1617288
    {'degree': 4, 'field': [36, 0, -5, 0, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 4]}
  • id: 1617290
    {'degree': 4, 'field': [3249, 0, -107, 0, 1], 'lmfdb_label': '32487.f4', 'torsion': [8]}
  • id: 1617293
    {'degree': 8, 'field': [1143, -942, 1118, -330, 111, 62, -16, -4, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 8]}
  • id: 1617292
    {'degree': 8, 'field': [1908, -828, 918, -174, 73, 14, 0, -4, 1], 'lmfdb_label': '32487.f4', 'torsion': [8]}
  • id: 1617294
    {'degree': 8, 'field': [112107, 90543, 19713, 949, -77, -68, -5, -2, 1], 'lmfdb_label': '32487.f4', 'torsion': [6]}
  • id: 1617291
    {'degree': 8, 'field': [1598752, -481328, -116212, 8808, -5071, 414, -34, -2, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 4]}
  • id: 1617296
    {'degree': 16, 'field': [33273, 216558, 545166, 685818, 472360, 169960, 7300, -29514, -8919, -5560, 1956, -554, 336, -102, 22, -4, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 8]}
  • id: 1617301
    {'degree': 16, 'field': [85703, -56342, 81112, -77218, 116543, -118140, 80962, -37072, 11852, -3094, 2238, -1216, 506, -168, 44, -8, 1], 'lmfdb_label': '32487.f4', 'torsion': [12]}
  • id: 1617298
    {'degree': 16, 'field': [40332139, -99754769, 151103222, -148347219, 103186544, -48148310, 13004773, 71978, -1434628, 424137, 25756, -35604, 4509, 568, -126, -2, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 16]}
  • id: 1617300
    {'degree': 16, 'field': [544751523, 846692982, 12990171, -218118933, 107850642, -8183288, 3053579, -397181, 127085, 179614, 5207, 2069, 1996, -217, 67, -4, 1], 'lmfdb_label': '32487.f4', 'torsion': [12]}
  • id: 1617297
    {'degree': 16, 'field': [1462550625, -1484233650, 1262703117, -791161482, 383846653, -149349466, 43473098, -3865638, -2876393, 1041382, -18770, -45806, 5458, 726, -130, -4, 1], 'lmfdb_label': '32487.f4', 'torsion': [16]}
  • id: 1617299
    {'degree': 16, 'field': [68934077809, 0, -9243140542, 0, 213424393, 0, 13754589, 0, -903396, 0, 24774, 0, 469, 0, -34, 0, 1], 'lmfdb_label': '32487.f4', 'torsion': [2, 6]}
  • id: 1617295
    {'degree': 16, 'field': [6844736195712, 2699498625408, 710847275040, 118880357472, -2627049272, -3532759160, -762233498, -87870486, 6014385, 2429282, 217380, 14746, -3642, -714, 22, -4, 1], 'lmfdb_label': '32487.f4', 'torsion': [4, 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: 759846
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32487.f4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 759847
    {'conductor': 32487, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '32487.f4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 759848
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '32487.f4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 759849
    {'conductor': 32487, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '32487.f4', '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

  
  
  • id: 1881144
    {'adelic_gens': [[1, 17696, 15036, 11621], [17249, 17696, 20090, 20623], [1, 16, 0, 1], [4376, 21217, 20671, 17690], [7085, 17696, 23408, 3221], [1, 0, 16, 1], [24737, 16, 24736, 17], [15, 2, 24654, 24739], [17679, 0, 0, 24751], [5, 4, 24748, 24749]], 'adelic_image': '24752.192.1.?', 'conductor': 32487, 'lmfdb_label': '32487.f4', 'prime': 0}
  • id: 145237
    {'conductor': 32487, 'elladic_image': '16.24.0.7', 'lmfdb_label': '32487.f4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1583818
    {'lmfdb_iso': '32487.f', 'p': 5, 'prec': 20, 'unit': 208097374654, 'val': 3}
  • id: 1583810
    {'lmfdb_iso': '32487.f', 'p': 11, 'prec': 20, 'unit': 56117109237832116607, 'val': 1}
  • id: 1583812
    {'lmfdb_iso': '32487.f', 'p': 19, 'prec': 20, 'unit': 1862124310240784232905781, 'val': 1}
  • id: 1583808
    {'lmfdb_iso': '32487.f', 'p': 29, 'prec': 20, 'unit': 5440720905961847708703138444, 'val': 1}
  • id: 1583805
    {'lmfdb_iso': '32487.f', 'p': 31, 'prec': 20, 'unit': 15333579921312198027309620673, 'val': 1}
  • id: 1583804
    {'lmfdb_iso': '32487.f', 'p': 37, 'prec': 20, 'unit': 41874851266576493547010385636, 'val': 1}
  • id: 1583806
    {'lmfdb_iso': '32487.f', 'p': 41, 'prec': 20, 'unit': 64295485837574418853878239990, 'val': 2}
  • id: 1583807
    {'lmfdb_iso': '32487.f', 'p': 43, 'prec': 20, 'unit': 287860237892022979344432289758, 'val': 1}
  • id: 1583816
    {'lmfdb_iso': '32487.f', 'p': 47, 'prec': 20, 'unit': 38695155028340275715157919840086, 'val': 1}
  • id: 1583813
    {'lmfdb_iso': '32487.f', 'p': 53, 'prec': 20, 'unit': 410794676426419149860792767321114, 'val': 1}
  • id: 1583811
    {'lmfdb_iso': '32487.f', 'p': 59, 'prec': 20, 'unit': 1964032332891863088545071323159040, 'val': 1}
  • id: 1583817
    {'lmfdb_iso': '32487.f', 'p': 61, 'prec': 20, 'unit': 3826141537543479739358611040698139, 'val': 1}
  • id: 1583803
    {'lmfdb_iso': '32487.f', 'p': 67, 'prec': 20, 'unit': 85573481296375538589988255761583, 'val': 2}
  • id: 1583814
    {'lmfdb_iso': '32487.f', 'p': 73, 'prec': 20, 'unit': 59656502008156508362265067689294414, 'val': 1}
  • id: 1583809
    {'lmfdb_iso': '32487.f', 'p': 79, 'prec': 20, 'unit': 630143241831897830464673720596727309, 'val': 1}
  • id: 1583802
    {'lmfdb_iso': '32487.f', 'p': 83, 'prec': 20, 'unit': 1308170691885597273506562041848301159, 'val': 1}
  • id: 1583815
    {'lmfdb_iso': '32487.f', 'p': 89, 'prec': 20, 'unit': 924745863117414905201503641465648120, 'val': 1}
  • id: 1583801
    {'lmfdb_iso': '32487.f', 'p': 97, 'prec': 20, 'unit': 15052686215865498625824087192855881653, 'val': 1}