Elliptic curve data - 64974.m4

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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': '64974m', 'Clabel': '64974m3', 'Cnumber': 3, 'abc_quality': 0.9361616274252508, 'absD': 106083816262087482, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 37128, 'ainvs': [1, 1, 0, 48926, -15086378], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 64974, 'degree': 737280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9483187238577550142463234371', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [110088190986983, 901697560218], 'lmfdb_iso': '64974.m', 'lmfdb_label': '64974.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 998, 44126], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.1', '168.24.0.?', '1768.12.0.?', '5304.24.0.?', '12376.24.0.?', '37128.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7973948288819433266745583039', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97536364933009836169364706538', 'prec': 103}, 'szpiro_ratio': 4.2037118191765535, '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, -1, 1, -2, 0, -1, 1, 0, -2, 1, -1, -1, 4, 2], 'aplist': [-1, -1, 2, 0, 0, 1, -1, 4, 0, 2, -8, 6, -10, -12, 12, 2, -12, -2, -4, 8, -10, 4, 4, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 64974, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '64974.m', 'trace_hash': 1216981372100001785}
• 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': '0.020310090494947325445732962474', 'prec': 107}, 'conductor': 64974, 'gens': [[5631, 421159, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.7973948288819433266745583039', 'prec': 100}], 'lmfdb_label': '64974.m4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16605476165078544041579829022', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5149591126250903348819761905085723203', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[731, -731, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 1], '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 3, 0], '13': [2, 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': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '64974.m4'}
• ec_torsion_growth •

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

  
  
  • id: 3102866
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [4]}
  • id: 3102867
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [4]}
  • id: 3102865
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [2, 2]}
  • id: 3102868
    {'degree': 4, 'field': [49, 0, 28, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [2, 4]}
  • id: 3102872
    {'degree': 8, 'field': [-24687, 384, 25748, 1104, -474, -16, -12, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [6]}
  • id: 3102870
    {'degree': 8, 'field': [900, 0, -52272, 0, 3309, 0, 114, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [8]}
  • id: 3102869
    {'degree': 8, 'field': [28224, 0, 0, 0, -168, 0, 0, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [2, 4]}
  • id: 3102871
    {'degree': 8, 'field': [2903616, 0, -60672, 0, 2920, 0, -64, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [8]}
  • id: 3102873
    {'degree': 16, 'field': [3265249, 0, -980944, 0, 404320, 0, -94024, 0, 3934, 0, -112, 0, 112, 0, 8, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [4, 4]}
  • id: 3102877
    {'degree': 16, 'field': [28005264, 0, -46527264, 0, -13838972, 0, 2215584, 0, -963144, 0, 114296, 0, 3528, 0, 0, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [12]}
  • id: 3102878
    {'degree': 16, 'field': [7710244864, 0, -428107904, 0, 132458368, 0, -5762400, 0, -477456, 0, 36456, 0, -980, 0, 28, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [12]}
  • id: 3102874
    {'degree': 16, 'field': [28985403001, 0, -95874496, 0, -215965016, 0, 8831096, 0, 524326, 0, -9376, 0, 2056, 0, -88, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [2, 8]}
  • id: 3102875
    {'degree': 16, 'field': [102255411076, 0, 14180440456, 0, 5206473832, 0, 1029404740, 0, 73490053, 0, 2589160, 0, 45682, 0, 364, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [2, 8]}
  • id: 3102876
    {'degree': 16, 'field': [583317117504, 0, -21712664952, 0, -15895750428, 0, 1076952984, 0, 24873564, 0, 189996, 0, -3008, 0, 28, 0, 1], 'lmfdb_label': '64974.m4', 'torsion': [2, 6]}
• 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: 1569504
    {'conductor': 64974, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '64974.m4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1569505
    {'conductor': 64974, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '64974.m4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1569506
    {'conductor': 64974, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '64974.m4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1569507
    {'conductor': 64974, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '64974.m4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1569508
    {'conductor': 64974, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '64974.m4', 'prime': 17, '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: 2094422
    {'adelic_gens': [[32488, 13931, 23209, 23238], [23208, 4649, 23233, 23280], [1, 0, 8, 1], [12380, 1, 24775, 6], [1, 8, 0, 1], [1, 4, 4, 17], [21212, 37127, 10585, 37122], [8569, 8, 34276, 33], [37121, 8, 37120, 9], [7, 6, 37122, 37123], [28393, 8, 2188, 33]], 'adelic_image': '37128.48.0.?', 'conductor': 64974, 'lmfdb_label': '64974.m4', 'prime': 0}
  • id: 272600
    {'conductor': 64974, 'elladic_image': '4.6.0.1', 'lmfdb_label': '64974.m4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3313037
    {'lmfdb_iso': '64974.m', 'p': 5, 'prec': 20, 'unit': 17334381606389, 'val': 1}
  • id: 3313020
    {'lmfdb_iso': '64974.m', 'p': 19, 'prec': 20, 'unit': 1613342693532646239844176, 'val': 1}
  • id: 3313028
    {'lmfdb_iso': '64974.m', 'p': 29, 'prec': 20, 'unit': 1170811672480349385403603887, 'val': 1}
  • id: 3313025
    {'lmfdb_iso': '64974.m', 'p': 31, 'prec': 20, 'unit': 8349302229113588022571872015, 'val': 1}
  • id: 3313023
    {'lmfdb_iso': '64974.m', 'p': 37, 'prec': 20, 'unit': 590205614684948815704467142578, 'val': 1}
  • id: 3313026
    {'lmfdb_iso': '64974.m', 'p': 41, 'prec': 20, 'unit': 4388750106414493419793292280982, 'val': 1}
  • id: 3313027
    {'lmfdb_iso': '64974.m', 'p': 43, 'prec': 20, 'unit': 10450260111425431002159232963649, 'val': 1}
  • id: 3313035
    {'lmfdb_iso': '64974.m', 'p': 47, 'prec': 20, 'unit': 23710669954120938648840460055649, 'val': 1}
  • id: 3313032
    {'lmfdb_iso': '64974.m', 'p': 53, 'prec': 20, 'unit': 368177694653856690720632331655381, 'val': 1}
  • id: 3313030
    {'lmfdb_iso': '64974.m', 'p': 59, 'prec': 20, 'unit': 796262067436061674677359753172337, 'val': 1}
  • id: 3313036
    {'lmfdb_iso': '64974.m', 'p': 61, 'prec': 20, 'unit': 4579127815981914627618730767542347, 'val': 1}
  • id: 3313022
    {'lmfdb_iso': '64974.m', 'p': 67, 'prec': 20, 'unit': 18350181176965361367806232437713978, 'val': 1}
  • id: 3313024
    {'lmfdb_iso': '64974.m', 'p': 71, 'prec': 20, 'unit': 70651426907438496819207870372133450, 'val': 1}
  • id: 3313033
    {'lmfdb_iso': '64974.m', 'p': 73, 'prec': 20, 'unit': 198385723809577302085838373757732577, 'val': 1}
  • id: 3313029
    {'lmfdb_iso': '64974.m', 'p': 79, 'prec': 20, 'unit': 1134030448673390036971440017336829400, 'val': 1}
  • id: 3313031
    {'lmfdb_iso': '64974.m', 'p': 83, 'prec': 20, 'unit': 498518938797213557463159404308289860, 'val': 1}
  • id: 3313034
    {'lmfdb_iso': '64974.m', 'p': 89, 'prec': 20, 'unit': 651311969899248394014755383240266223, 'val': 1}
  • id: 3313021
    {'lmfdb_iso': '64974.m', 'p': 97, 'prec': 20, 'unit': 50142860757955768904626828851223399038, 'val': 1}