Elliptic curve data - 188760.cd3

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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': '188760b', 'Clabel': '188760b4', 'Cnumber': 4, 'abc_quality': 0.9987247425955773, 'absD': 1639360740560400000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11440, 'ainvs': [0, 1, 0, -4051120, 3692493968], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 188760, 'degree': 8847360, 'elladic_images': ['4.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7910480454283697466975459653', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 4], 'jinv': [-4053153720264484, 903687890625], 'lmfdb_iso': '188760.cd', 'lmfdb_label': '188760.cd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -33480, -2786400], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.24.0.c.1', '44.48.0-4.c.1.1', '104.48.1.?', '1040.96.3.?', '1144.96.1.?', '11440.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83883998079820436029068392982', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0144777585625633834855474084', 'prec': 100}, 'szpiro_ratio': 4.740032489959316, '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, 0, 1, 0, 1, 0, -4, 0, 1, 0, 0, 0, -1, 0, 1, 0, -2, 0, 0, 0], 'aplist': [0, 1, 1, -4, 0, -1, -2, 0, 0, 2, -4, 6, 6, -4, -4, -10, 0, 2, 8, 4, 6, 8, -8, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 188760, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '188760.cd', 'trace_hash': 1394231611245338482}
• 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': '0.0037646661604803962949315138680', 'prec': 110}, 'conductor': 188760, 'gens': [[656, 36300, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.83883998079820436029068392982', 'prec': 103}], 'lmfdb_label': '188760.cd3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14318914407934559175583152704', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6872178476818927201263682187238964619', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-2369, 0, 1]], 'xcoord_integral_points': [-2369, 131, 656, 1856]}
• lmfdb_label 188760.cd3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8318025
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '188760.cd3', 'torsion': [4]}
  • id: 8318024
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '188760.cd3', 'torsion': [2, 2]}
  • id: 8318026
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '188760.cd3', 'torsion': [4]}
  • id: 8318027
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '188760.cd3', 'torsion': [4, 4]}
  • id: 8318030
    {'degree': 8, 'field': [-11754199, 4701976, -45856, -85146, -10500, -1926, 4, -4, 1], 'lmfdb_label': '188760.cd3', 'torsion': [6]}
  • id: 8318029
    {'degree': 8, 'field': [243, -332, 456, -272, 197, -76, 30, -4, 1], 'lmfdb_label': '188760.cd3', 'torsion': [8]}
  • id: 8318028
    {'degree': 8, 'field': [625, 0, 900, 0, 131, 0, -36, 0, 1], 'lmfdb_label': '188760.cd3', 'torsion': [8]}
  • id: 8318032
    {'degree': 16, 'field': [22564, -9352, 5188, 9128, -3730, -10360, 23598, -27244, 21353, -13112, 6402, -2540, 848, -224, 52, -8, 1], 'lmfdb_label': '188760.cd3', 'torsion': [4, 8]}
  • id: 8318031
    {'degree': 16, 'field': [50625, -186300, 455382, -722520, 893214, -851256, 681750, -431736, 231055, -97928, 36310, -10256, 2680, -476, 88, -8, 1], 'lmfdb_label': '188760.cd3', 'torsion': [4, 8]}
  • id: 8318035
    {'degree': 16, 'field': [244565325, -171120600, 199957680, -56170776, 23975994, 5901944, -3549028, 1282832, -227725, -65032, 16412, -2336, 814, -224, 52, -8, 1], 'lmfdb_label': '188760.cd3', 'torsion': [12]}
  • id: 8318034
    {'degree': 16, 'field': [1866240000, 0, -2737152000, 0, 272332800, 0, 8183296, 0, -435328, 0, -85184, 0, 3376, 0, -88, 0, 1], 'lmfdb_label': '188760.cd3', 'torsion': [12]}
  • id: 8318033
    {'degree': 16, 'field': [4431461077805, 6436944991730, 5022593976600, 2060052770504, 557295987068, 104322585312, 14337673834, 1345215610, 42748296, -6372678, -166722, 188736, 35220, 876, -228, -2, 1], 'lmfdb_label': '188760.cd3', '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: 4672372
    {'conductor': 188760, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '188760.cd3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4672373
    {'conductor': 188760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '188760.cd3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4672374
    {'conductor': 188760, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '188760.cd3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 4672375
    {'conductor': 188760, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '188760.cd3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4672376
    {'conductor': 188760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '188760.cd3', 'prime': 13, '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: 2876557
    {'adelic_gens': [[6513, 132, 4400, 9637], [1, 16, 0, 1], [8658, 7997, 11121, 10726], [2641, 1056, 2244, 4225], [4577, 1056, 8536, 8449], [1, 12, 4, 49], [1, 0, 16, 1], [9359, 0, 0, 11439], [11425, 16, 11424, 17], [5, 16, 64, 205]], 'adelic_image': '11440.192.3.?', 'conductor': 188760, 'lmfdb_label': '188760.cd3', 'prime': 0}
  • id: 704779
    {'conductor': 188760, 'elladic_image': '4.24.0.2', 'lmfdb_label': '188760.cd3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 188760.cd does not appear in ec_padic