Elliptic curve data - 1872.m2

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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': '1872n', 'Clabel': '1872n1', 'Cnumber': 1, 'abc_quality': 0.96783604338842, 'absD': 4968677376, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -387, 4482], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 1872, 'degree': 672, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.55929277646972806775818543822', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 7], 'jinv': [-2146689, 1664], 'lmfdb_iso': '1872.m', 'lmfdb_label': '1872.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3, 3], 'min_quad_twist_disc': 12, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '84.48.0.?', '104.2.0.?', '728.48.2.?', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.60132093690238429130269499813', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 6, 208], [13, 14, 144]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68316054842427208735666930170', 'prec': 107}, 'szpiro_ratio': 4.026509689458253, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, -1, 0, 0, 0, 3, 0, -6, 0], 'aplist': [0, 0, 1, -1, -2, -1, 3, -6, -4, -2, -4, 3, 0, 5, 13, -12, -10, -8, 2, -5, -10, 4, 0, -6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 1872, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '1872.m', 'trace_hash': 1881479039491395309}
• 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': '0.32674162666094571212391814428', 'prec': 103}, 'conductor': 1872, 'gens': [[1, 64, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.60132093690238429130269499813', 'prec': 103}], 'lmfdb_label': '1872.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2548007910185203097248432628', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0181519491244381940322447755369344174', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [1, 7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1872.m2'}
• ec_torsion_growth •

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

  
  
  • id: 94963
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '1872.m2', 'torsion': [7]}
  • id: 94964
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '1872.m2', 'torsion': [2]}
  • id: 94966
    {'degree': 6, 'field': [-2, -6, 1, -4, 10, -2, 1], 'lmfdb_label': '1872.m2', 'torsion': [14]}
  • id: 94965
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '1872.m2', 'torsion': [2, 2]}
  • id: 94967
    {'degree': 8, 'field': [-48, 0, 0, 0, 24, 0, 9, 0, 1], 'lmfdb_label': '1872.m2', 'torsion': [3]}
  • id: 94968
    {'degree': 12, 'field': [-2462, 4582, -1528, -4026, 5584, -2934, 552, 106, -123, 41, 2, -1, 1], 'lmfdb_label': '1872.m2', 'torsion': [4]}
  • id: 94969
    {'degree': 12, 'field': [2782, -4420, 5266, -2312, 433, 316, -126, -68, 92, -40, 16, -4, 1], 'lmfdb_label': '1872.m2', 'torsion': [2, 14]}
  • id: 94970
    {'degree': 16, 'field': [1, 0, 1, 0, -2, 0, -17, 0, -14, 0, -17, 0, -2, 0, 1, 0, 1], 'lmfdb_label': '1872.m2', 'torsion': [21]}
• 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: 30336
    {'conductor': 1872, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '1872.m2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 30337
    {'conductor': 1872, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1872.m2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 30338
    {'conductor': 1872, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1872.m2', 'prime': 13, '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: 1676225
    {'adelic_gens': [[2017, 1470, 1743, 1555], [8, 5, 91, 57], [545, 714, 903, 629], [1, 14, 0, 1], [547, 378, 0, 1795], [2171, 14, 2170, 15], [1, 0, 14, 1], [727, 0, 0, 2183], [1093, 1470, 1827, 1555]], 'adelic_image': '2184.96.2.?', 'conductor': 1872, 'lmfdb_label': '1872.m2', 'prime': 0}
  • id: 9166
    {'conductor': 1872, 'elladic_image': '7.24.0.1', 'lmfdb_label': '1872.m2', 'modell_image': '7B.6.1', 'prime': 7}
• ec_padic •

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

  
  
  • id: 53388
    {'lmfdb_iso': '1872.m', 'p': 5, 'prec': 20, 'unit': 94693209462574, 'val': -1}
  • id: 53389
    {'lmfdb_iso': '1872.m', 'p': 7, 'prec': 20, 'unit': 3511714258688675, 'val': 1}
  • id: 53395
    {'lmfdb_iso': '1872.m', 'p': 11, 'prec': 20, 'unit': 46094277507017037805, 'val': 1}
  • id: 53396
    {'lmfdb_iso': '1872.m', 'p': 17, 'prec': 20, 'unit': 55679060712930188418734, 'val': 1}
  • id: 53397
    {'lmfdb_iso': '1872.m', 'p': 19, 'prec': 20, 'unit': 1032277127581092393531203, 'val': 1}
  • id: 53400
    {'lmfdb_iso': '1872.m', 'p': 23, 'prec': 20, 'unit': 69381445826491116556148429, 'val': 1}
  • id: 53393
    {'lmfdb_iso': '1872.m', 'p': 29, 'prec': 20, 'unit': 748035232006970820537185257, 'val': 1}
  • id: 53390
    {'lmfdb_iso': '1872.m', 'p': 31, 'prec': 20, 'unit': 3981033533490592600766630255, 'val': 1}
  • id: 53405
    {'lmfdb_iso': '1872.m', 'p': 37, 'prec': 20, 'unit': 85966678483187361471595651835, 'val': 1}
  • id: 53392
    {'lmfdb_iso': '1872.m', 'p': 43, 'prec': 20, 'unit': 1776641379927754727525496508171, 'val': 1}
  • id: 53403
    {'lmfdb_iso': '1872.m', 'p': 47, 'prec': 20, 'unit': 8367570888838842150648109477531, 'val': 1}
  • id: 53398
    {'lmfdb_iso': '1872.m', 'p': 53, 'prec': 20, 'unit': 164161731038286301521256912197434, 'val': 1}
  • id: 53399
    {'lmfdb_iso': '1872.m', 'p': 59, 'prec': 20, 'unit': 3309959686342121398227257517265268, 'val': 1}
  • id: 53404
    {'lmfdb_iso': '1872.m', 'p': 61, 'prec': 20, 'unit': 2035306439451028578076771428891689, 'val': 1}
  • id: 53387
    {'lmfdb_iso': '1872.m', 'p': 67, 'prec': 20, 'unit': 45106044800261448312935204826766824, 'val': 1}
  • id: 53402
    {'lmfdb_iso': '1872.m', 'p': 71, 'prec': 20, 'unit': 60375265648259287624381542240301595, 'val': 1}
  • id: 53391
    {'lmfdb_iso': '1872.m', 'p': 73, 'prec': 20, 'unit': 195389510905260862196746920795172832, 'val': 1}
  • id: 53394
    {'lmfdb_iso': '1872.m', 'p': 79, 'prec': 20, 'unit': 929979897601096280125421768736062027, 'val': 1}
  • id: 53401
    {'lmfdb_iso': '1872.m', 'p': 89, 'prec': 20, 'unit': 30537160207905966706715802698718423, 'val': 2}
  • id: 53386
    {'lmfdb_iso': '1872.m', 'p': 97, 'prec': 20, 'unit': 564101344098306959547837094532572905, 'val': 1}