Elliptic curve data - 123840.i2

Formats: - HTML - YAML - JSON - 2024-06-03T19:24:46.781276

• 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': '123840ey', 'Clabel': '123840ey2', 'Cnumber': 2, 'abc_quality': 0.9399296725264352, 'absD': 7950361559040000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1032, 'ainvs': [0, 0, 0, -50988, -1111088], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 123840, 'degree': 589824, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7419429858186854461015936184', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [76711450249, 41602500], 'lmfdb_iso': '123840.i', 'lmfdb_label': '123840.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -89, -88], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '24.24.0-24.b.1.2', '172.12.0.?', '344.24.0.?', '516.24.0.?', '1032.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5921491978998872720720407269', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15291607064471263627812281775', 'prec': 103}, 'szpiro_ratio': 3.7633322128314584, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -4, 0, 2, -2, 4, 0, 2, 0, -10, 6, -1, -8, 2, 0, -2, -4, 8, 10, 8, -16, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 123840, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '123840.i', 'trace_hash': 1044688986606461417}
• 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': '0.030687926614146791276449680159', 'prec': 107}, 'conductor': 123840, 'gens': [[272, 2268, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5921491978998872720720407269', 'prec': 100}], 'lmfdb_label': '123840.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33874750175496526551043428436', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8673262668787565381667713248455446071', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-22, 0, 1], [236, 0, 1]], 'xcoord_integral_points': [-214, -22, 236, 272, 3461]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '123840.i2'}
• ec_torsion_growth •

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

  
  
  • id: 5650509
    {'degree': 4, 'field': [4, 0, -2, 0, 1], 'lmfdb_label': '123840.i2', 'torsion': [2, 4]}
  • id: 5650510
    {'degree': 4, 'field': [898, 68, -67, -2, 1], 'lmfdb_label': '123840.i2', 'torsion': [2, 4]}
  • id: 5650511
    {'degree': 4, 'field': [1849, 0, 172, 0, 1], 'lmfdb_label': '123840.i2', 'torsion': [2, 4]}
  • id: 5650512
    {'degree': 8, 'field': [-67500, 0, 16050, 0, -900, 0, 0, 0, 1], 'lmfdb_label': '123840.i2', 'torsion': [2, 6]}
  • id: 5650516
    {'degree': 16, 'field': [256, 0, -2048, 0, 25664, 0, -20736, 0, 18788, 0, -5184, 0, 1604, 0, -32, 0, 1], 'lmfdb_label': '123840.i2', 'torsion': [2, 8]}
  • id: 5650514
    {'degree': 16, 'field': [256, 0, -512, 0, 3040, 0, 4288, 0, 15604, 0, 1072, 0, 190, 0, -8, 0, 1], 'lmfdb_label': '123840.i2', 'torsion': [2, 8]}
  • id: 5650513
    {'degree': 16, 'field': [214358881, 0, 0, 0, -2913559, 0, 0, 0, 24960, 0, 0, 0, -199, 0, 0, 0, 1], 'lmfdb_label': '123840.i2', 'torsion': [4, 4]}
  • id: 5650515
    {'degree': 16, 'field': [1431108900, 0, -2666933820, 0, 505564509, 0, -4925994, 0, 4867519, 0, -275888, 0, 11271, 0, -194, 0, 1], 'lmfdb_label': '123840.i2', '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: 3050927
    {'conductor': 123840, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '123840.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3050928
    {'conductor': 123840, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '123840.i2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3050929
    {'conductor': 123840, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '123840.i2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3050930
    {'conductor': 123840, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '123840.i2', 'prime': 43, '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: 2471976
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [771, 1030, 8, 5], [433, 4, 866, 9], [1029, 4, 1028, 5], [513, 1030, 2, 1], [343, 1030, 0, 1031]], 'adelic_image': '1032.48.0.?', 'conductor': 123840, 'lmfdb_label': '123840.i2', 'prime': 0}
  • id: 485073
    {'conductor': 123840, 'elladic_image': '8.12.0.1', 'lmfdb_label': '123840.i2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6482264
    {'lmfdb_iso': '123840.i', 'p': 7, 'prec': 20, 'unit': 7664887436509048, 'val': 1}
  • id: 6482268
    {'lmfdb_iso': '123840.i', 'p': 13, 'prec': 20, 'unit': 143087138570462264964, 'val': 1}
  • id: 6482270
    {'lmfdb_iso': '123840.i', 'p': 17, 'prec': 20, 'unit': 139753532027914044805360, 'val': 1}
  • id: 6482271
    {'lmfdb_iso': '123840.i', 'p': 19, 'prec': 20, 'unit': 1798937577119762493053861, 'val': 1}
  • id: 6482267
    {'lmfdb_iso': '123840.i', 'p': 29, 'prec': 20, 'unit': 830086136272655836393906113, 'val': 1}
  • id: 6482263
    {'lmfdb_iso': '123840.i', 'p': 37, 'prec': 20, 'unit': 343750346523933355291329195399, 'val': 1}
  • id: 6482265
    {'lmfdb_iso': '123840.i', 'p': 41, 'prec': 20, 'unit': 3083610481958010369799256243932, 'val': 1}
  • id: 6482269
    {'lmfdb_iso': '123840.i', 'p': 47, 'prec': 20, 'unit': 20951472509166302166050241736555, 'val': 1}
  • id: 6482272
    {'lmfdb_iso': '123840.i', 'p': 53, 'prec': 20, 'unit': 99993983515317205986796060908321, 'val': 1}
  • id: 6482276
    {'lmfdb_iso': '123840.i', 'p': 61, 'prec': 20, 'unit': 1614935442103430701681673637208354, 'val': 1}
  • id: 6482262
    {'lmfdb_iso': '123840.i', 'p': 67, 'prec': 20, 'unit': 3060341338920853231936778045740222, 'val': 1}
  • id: 6482266
    {'lmfdb_iso': '123840.i', 'p': 71, 'prec': 20, 'unit': 18754570862061316659302866127969350, 'val': 1}
  • id: 6482273
    {'lmfdb_iso': '123840.i', 'p': 73, 'prec': 20, 'unit': 136307213572114100955755087419678703, 'val': 1}
  • id: 6482275
    {'lmfdb_iso': '123840.i', 'p': 79, 'prec': 20, 'unit': 818858409516877598248096719413402290, 'val': 1}
  • id: 6482261
    {'lmfdb_iso': '123840.i', 'p': 83, 'prec': 20, 'unit': 442671350912430800478704658967124244, 'val': 1}
  • id: 6482274
    {'lmfdb_iso': '123840.i', 'p': 89, 'prec': 20, 'unit': 59714830989323552843716698971732824, 'val': 2}
  • id: 6482260
    {'lmfdb_iso': '123840.i', 'p': 97, 'prec': 20, 'unit': 3537336609772629226000879885252099075, 'val': 1}