Elliptic curve data - 14520.r5

Formats: - HTML - YAML - JSON - 2025-10-09T03:54:55.408626

• 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': '14520h', 'Clabel': '14520h1', 'Cnumber': 1, 'abc_quality': 1.0588833402519044, 'absD': 1096153368750000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 880, 'ainvs': [0, -1, 0, -21215, -1980900], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 14520, 'degree': 61440, 'elladic_images': ['8.48.0.168'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5811885866153641895394234162', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-37256083456, 38671875], 'lmfdb_iso': '14520.r', 'lmfdb_label': '14520.r5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -175, 1552], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.ba.1.7', '22.6.0.a.1', '44.24.0-44.g.1.2', '80.96.0.?', '88.96.0.?', '880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0835607265021811245760855092', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 4840], [5, 6, 2904], [11, 72, 120]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15119189002953048103604092007', 'prec': 103}, 'szpiro_ratio': 4.437769352942606, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, 6, 0, 4, 0], 'aplist': [0, -1, 1, 0, 0, 2, 6, 4, 0, -6, -8, 6, -10, 4, -8, -10, -12, -6, -4, 0, 14, 0, -4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 14520, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '14520.r', 'trace_hash': 1544931980804333697}
• 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': '0.042325007522516442367101247716', 'prec': 107}, 'conductor': 14520, 'gens': [[680, 17250, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0835607265021811245760855092', 'prec': 100}], 'lmfdb_label': '14520.r5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18992146064838534919395826112', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6850748574023242462225950021497981050', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[455, 9075, 1]], 'xcoord_integral_points': [180, 455, 680, 12555]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 3, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14520.r5'}
• ec_torsion_growth •

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

  
  
  • id: 749294
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '14520.r5', 'torsion': [2, 4]}
  • id: 749295
    {'degree': 4, 'field': [-2, -28, -4, -2, 1], 'lmfdb_label': '14520.r5', 'torsion': [8]}
  • id: 749296
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '14520.r5', 'torsion': [2, 8]}
  • id: 749298
    {'degree': 8, 'field': [-43923, 0, -3608, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '14520.r5', 'torsion': [12]}
  • id: 749297
    {'degree': 8, 'field': [625, -50, 2, 94, -41, -10, 8, -4, 1], 'lmfdb_label': '14520.r5', 'torsion': [4, 8]}
  • id: 749300
    {'degree': 16, 'field': [733561, -4699064, 10037148, -6788952, -1282138, 3424816, -397728, -766780, 161589, 110200, -25788, -8524, 2072, 288, -72, -4, 1], 'lmfdb_label': '14520.r5', 'torsion': [2, 16]}
  • id: 749302
    {'degree': 16, 'field': [3515625, 0, -3226200, 0, 765550, 0, 207600, 0, 19047, 0, 992, 0, 294, 0, 0, 0, 1], 'lmfdb_label': '14520.r5', 'torsion': [2, 12]}
  • id: 749301
    {'degree': 16, 'field': [39720025, 62624900, 35504420, 16658580, 12032684, 5203048, 717668, -168720, -95625, -9192, 3316, 136, 380, -20, 28, -4, 1], 'lmfdb_label': '14520.r5', 'torsion': [2, 16]}
  • id: 749299
    {'degree': 16, 'field': [40190225625, 0, 0, 0, 357246450, 0, 0, 0, -1050489, 0, 0, 0, -1782, 0, 0, 0, 1], 'lmfdb_label': '14520.r5', 'torsion': [16]}
• 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: 319982
    {'conductor': 14520, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '14520.r5', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 319983
    {'conductor': 14520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14520.r5', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 319984
    {'conductor': 14520, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '14520.r5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 319985
    {'conductor': 14520, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '14520.r5', 'prime': 11, '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: 1760786
    {'adelic_gens': [[1, 16, 660, 661], [5, 4, 876, 877], [1, 16, 0, 1], [125, 16, 554, 459], [177, 16, 536, 129], [865, 16, 864, 17], [15, 2, 782, 867], [1, 0, 16, 1], [72, 879, 161, 870]], 'adelic_image': '880.192.1.?', 'conductor': 14520, 'lmfdb_label': '14520.r5', 'prime': 0}
  • id: 69048
    {'conductor': 14520, 'elladic_image': '8.48.0.168', 'lmfdb_label': '14520.r5', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 648868
    {'lmfdb_iso': '14520.r', 'p': 13, 'prec': 20, 'unit': 123695127088083437316, 'val': 1}
  • id: 648870
    {'lmfdb_iso': '14520.r', 'p': 17, 'prec': 20, 'unit': 59721866295687091145957, 'val': 1}
  • id: 648871
    {'lmfdb_iso': '14520.r', 'p': 19, 'prec': 20, 'unit': 1362375057966416301458657, 'val': 1}
  • id: 648867
    {'lmfdb_iso': '14520.r', 'p': 29, 'prec': 20, 'unit': 50282106996299326332966664, 'val': 2}
  • id: 648877
    {'lmfdb_iso': '14520.r', 'p': 31, 'prec': 20, 'unit': 14640052827665262013456307054, 'val': 1}
  • id: 648864
    {'lmfdb_iso': '14520.r', 'p': 37, 'prec': 20, 'unit': 421531441497550450895237920242, 'val': 1}
  • id: 648865
    {'lmfdb_iso': '14520.r', 'p': 41, 'prec': 20, 'unit': 3008648150186515046035278477715, 'val': 1}
  • id: 648866
    {'lmfdb_iso': '14520.r', 'p': 43, 'prec': 20, 'unit': 4954377108617906466435956545981, 'val': 1}
  • id: 648869
    {'lmfdb_iso': '14520.r', 'p': 47, 'prec': 20, 'unit': 18903750229730021845532955323407, 'val': 1}
  • id: 648872
    {'lmfdb_iso': '14520.r', 'p': 53, 'prec': 20, 'unit': 88562462453161348082506537693156, 'val': 1}
  • id: 648875
    {'lmfdb_iso': '14520.r', 'p': 59, 'prec': 20, 'unit': 2793815690260352331909666170928837, 'val': 1}
  • id: 648876
    {'lmfdb_iso': '14520.r', 'p': 61, 'prec': 20, 'unit': 1864959915706489411267537439276126, 'val': 1}
  • id: 648863
    {'lmfdb_iso': '14520.r', 'p': 67, 'prec': 20, 'unit': 42833595476878731541505846103032052, 'val': 1}
  • id: 648873
    {'lmfdb_iso': '14520.r', 'p': 73, 'prec': 20, 'unit': 92822947204462204766900848829804297, 'val': 1}
  • id: 648862
    {'lmfdb_iso': '14520.r', 'p': 83, 'prec': 20, 'unit': 1373642504556558151141005630633434514, 'val': 1}
  • id: 648874
    {'lmfdb_iso': '14520.r', 'p': 89, 'prec': 20, 'unit': 9374333872968544813191350824465100643, 'val': 1}
  • id: 648861
    {'lmfdb_iso': '14520.r', 'p': 97, 'prec': 20, 'unit': 42372853355174657435452411916598778685, 'val': 1}