Elliptic curve data - 200158.f1

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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': '200158p', 'Clabel': '200158p4', 'Cnumber': 4, 'abc_quality': 1.1194511520331367, 'absD': 4868663382137618, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3944, 'ainvs': [1, -1, 0, -444626, -113953910], 'analytic_rank': 0, 'bad_primes': [2, 7, 17, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 200158, 'degree': 1548288, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9627770266498140896147189309', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [16342588257633, 8185058], 'lmfdb_iso': '200158.f', 'lmfdb_label': '200158.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -529, -4545], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '116.12.0.?', '136.24.0.?', '232.24.0.?', '3944.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 841], [7, 8, 28594], [17, 18, 11774], [29, 422, 238]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27912911165657707602308291472', 'prec': 103}, 'szpiro_ratio': 4.147549893578573, '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, 0, 1, 2, 0, 1, -1, -3, -2, 0, 0, -2, -1, 0, 1, -1, 3, -4, 2], 'aplist': [-1, 0, 2, 1, 0, -2, -1, -4, 0, 0, 0, 6, 6, 12, -8, -2, 4, -2, 12, 0, -2, 8, 12, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 200158, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '200158.f', 'trace_hash': 1123458238164161359}
• 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': '0.019731201705029682256196026309', 'prec': 107}, 'conductor': 200158, 'gens': [], 'heights': [], 'lmfdb_label': '200158.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18489018204962113189526723934', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4791214563969690551621379146811375321', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1565, 1565, 2]], 'xcoord_integral_points': []}
• lmfdb_label 200158.f1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8773329
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [2, 2]}
  • id: 8773331
    {'degree': 2, 'field': [29, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [4]}
  • id: 8773330
    {'degree': 2, 'field': [58, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [4]}
  • id: 8773332
    {'degree': 4, 'field': [225, 0, 28, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [2, 4]}
  • id: 8773336
    {'degree': 8, 'field': [-45668, 3604, -16652, 2332, -2930, 946, 1, -2, 1], 'lmfdb_label': '200158.f1', 'torsion': [6]}
  • id: 8773333
    {'degree': 8, 'field': [-441, 9996, -9898, -168, 15, 80, -22, -4, 1], 'lmfdb_label': '200158.f1', 'torsion': [2, 4]}
  • id: 8773334
    {'degree': 8, 'field': [76652, 29104, 17704, 544, 2720, -136, 108, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [8]}
  • id: 8773335
    {'degree': 8, 'field': [1650454, -152362, 132471, -6606, 4489, -102, 89, -2, 1], 'lmfdb_label': '200158.f1', 'torsion': [8]}
  • id: 8773342
    {'degree': 16, 'field': [15570916, 0, 72031309, 0, -3000302, 0, -975101, 0, -65357, 0, 19303, 0, 1675, 0, 58, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [12]}
  • id: 8773337
    {'degree': 16, 'field': [23532201, 9507960, 430808, -19781496, 10208072, -1853768, 2814336, -1380736, -248359, 343944, -18620, -25368, 2590, 728, -84, -8, 1], 'lmfdb_label': '200158.f1', 'torsion': [4, 4]}
  • id: 8773339
    {'degree': 16, 'field': [35176761, 58076352, 9033480, 3371712, 21175768, 2238288, 577600, 931872, 237065, -14144, 47900, -4760, 2878, -136, 84, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [2, 8]}
  • id: 8773341
    {'degree': 16, 'field': [378535936, 0, 656325992, 0, 398171812, 0, 91862648, 0, 5420188, 0, 180044, 0, 5440, 0, 116, 0, 1], 'lmfdb_label': '200158.f1', 'torsion': [12]}
  • id: 8773340
    {'degree': 16, 'field': [7930955632, -3873709280, 3009716240, -1167976800, 514059968, -293959504, 54458344, 406392, 3344896, -5479104, 853204, 10420, -9607, 1944, -10, -4, 1], 'lmfdb_label': '200158.f1', 'torsion': [2, 6]}
  • id: 8773338
    {'degree': 16, 'field': [29763473342, 1681678044, 8212077026, 336732468, 1021599051, 23872932, 75974498, -8028, 3768109, -114508, 130558, -8212, 3233, -276, 62, -4, 1], 'lmfdb_label': '200158.f1', '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: 4953008
    {'conductor': 200158, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '200158.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4953009
    {'conductor': 200158, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '200158.f1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4953010
    {'conductor': 200158, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '200158.f1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4953011
    {'conductor': 200158, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '200158.f1', 'prime': 29, 'reduction_type': 0, '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: 2945736
    {'adelic_gens': [[1767, 0, 0, 3943], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3937, 8, 3936, 9], [7, 6, 3938, 3939], [2843, 3248, 754, 2437], [1480, 1827, 3625, 1886], [2553, 2320, 1508, 1393]], 'adelic_image': '3944.48.0.?', 'conductor': 200158, 'lmfdb_label': '200158.f1', 'prime': 0}
  • id: 741759
    {'conductor': 200158, 'elladic_image': '8.12.0.15', 'lmfdb_label': '200158.f1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 200158.f does not appear in ec_padic