Elliptic curve data - 151725.ch1

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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': '151725ct', 'Clabel': '151725ct3', 'Cnumber': 3, 'abc_quality': 0.9276850280892978, 'absD': 10210221608156822109375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14280, 'ainvs': [1, 1, 0, -7333525, 5895678250], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 151725, 'degree': 10616832, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9349737912036324066971421403', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 4], 'jinv': [115650783909361, 27072079335], 'lmfdb_iso': '151725.ch', 'lmfdb_label': '151725.ch1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1015, 9182], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0.h.1', '168.12.0.?', '204.12.0.?', '280.12.0.?', '340.12.0.?', '840.24.0.?', '952.12.0.?', '1020.24.0.?', '2856.24.0.?', '4760.24.0.?', '14280.48.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.71364816295847417927199516475', 'prec': 103}, 'szpiro_ratio': 4.948731776515446, '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, 0, -1, 1, -3, 1, 0, -4, 1, -2, 1, 0, -1, 0, 1, 8, 0], 'aplist': [1, -1, 0, 1, -4, -2, 0, 8, -4, -2, 8, 2, 6, -4, -4, -6, 12, 2, 12, 8, -14, -4, 0, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 151725, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '151725.ch', 'trace_hash': 1162455789691699125}
• 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': '0.0028230213061182386292563103584', 'prec': 110}, 'conductor': 151725, 'gens': [], 'heights': [], 'lmfdb_label': '151725.ch1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12103813933322360273592802219', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9366102293315776437748483549742256872', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[8555, -8555, 2]], 'xcoord_integral_points': []}
• lmfdb_label 151725.ch1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6816893
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [4]}
  • id: 6816894
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '151725.ch1', 'torsion': [4]}
  • id: 6816892
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [2, 2]}
  • id: 6816895
    {'degree': 4, 'field': [81, 0, -33, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [2, 4]}
  • id: 6816899
    {'degree': 8, 'field': [-10269, 12183, -14204, 4238, -470, 92, -19, -3, 1], 'lmfdb_label': '151725.ch1', 'torsion': [6]}
  • id: 6816898
    {'degree': 8, 'field': [81, 0, -180, 0, 237, 0, -20, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [8]}
  • id: 6816896
    {'degree': 8, 'field': [140625, 0, 0, 0, 15, 0, 0, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [2, 4]}
  • id: 6816897
    {'degree': 8, 'field': [783225, 0, -966600, 0, 37770, 0, -360, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [8]}
  • id: 6816902
    {'degree': 16, 'field': [-139107038679, -351028819260, -120907269720, 83362240800, 37742080071, -7422931980, -3997767300, 320075280, 204013816, -7277880, -5442830, 88320, 74571, -480, -470, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [2, 8]}
  • id: 6816905
    {'degree': 16, 'field': [2025, 7425, -9900, -32265, -37755, -6405, 15796, 14045, 2531, -6074, -4424, 1600, -65, 122, -33, -3, 1], 'lmfdb_label': '151725.ch1', 'torsion': [12]}
  • id: 6816901
    {'degree': 16, 'field': [7555429, 5870984, -4068580, -3254868, 869450, 597604, 276556, -324156, -12989, 46860, 5500, -6916, 182, 420, -40, -8, 1], 'lmfdb_label': '151725.ch1', 'torsion': [2, 8]}
  • id: 6816903
    {'degree': 16, 'field': [66048129, 0, 31303503, 0, 21667905, 0, 2699136, 0, -208350, 0, -61341, 0, -2777, 0, -25, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [2, 6]}
  • id: 6816900
    {'degree': 16, 'field': [71110881, 280115460, 420698880, 287896680, 80923011, 8562300, 5329350, 809520, -374504, 23100, -4040, -5400, 651, -60, 10, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [4, 4]}
  • id: 6816904
    {'degree': 16, 'field': [735982641, 0, -3109477287, 0, 371130868, 0, -14918319, 0, 1301745, 0, -126529, 0, 4383, 0, -102, 0, 1], 'lmfdb_label': '151725.ch1', 'torsion': [12]}
• 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: 3752756
    {'conductor': 151725, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '151725.ch1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3752757
    {'conductor': 151725, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '151725.ch1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3752758
    {'conductor': 151725, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '151725.ch1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3752759
    {'conductor': 151725, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '151725.ch1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2647767
    {'adelic_gens': [[14273, 8, 14272, 9], [6121, 8, 10204, 33], [12499, 12498, 8938, 1795], [7, 6, 14274, 14275], [5879, 14272, 9236, 14247], [1, 0, 8, 1], [9524, 1, 4783, 6], [8928, 1793, 8953, 9000], [2852, 14279, 5689, 14274], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '14280.48.0.?', 'conductor': 151725, 'lmfdb_label': '151725.ch1', 'prime': 0}
  • id: 581506
    {'conductor': 151725, 'elladic_image': '4.6.0.1', 'lmfdb_label': '151725.ch1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 151725.ch does not appear in ec_padic