Elliptic curve data - 13860.v1

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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': '13860h', 'Clabel': '13860h2', 'Cnumber': 2, 'abc_quality': 0.8330653908740153, 'absD': 24793655040, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -927, -7786], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 13860, 'degree': 10752, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.70145700005797537248472649765', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [12745567728, 3587045], 'lmfdb_iso': '13860.v', 'lmfdb_label': '13860.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -8343, 210222], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '84.6.0.?', '140.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4635245650309596548905178997', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.035294192482348923308906225886', 'prec': 110}, 'szpiro_ratio': 3.3669145576995474, '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, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, -4, 0, 0, 0, -2, 0, -6, 0], 'aplist': [0, 0, 1, 1, 1, -4, -2, -6, 6, -4, 6, 2, -6, 4, -8, 6, -12, 14, 4, 0, -12, 4, 0, -2, 4], 'class_deg': 2, 'class_size': 2, 'conductor': 13860, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '13860.v', 'trace_hash': 2247240515778141306}
• 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': '0.24587942632018485405411467099', 'prec': 103}, 'conductor': 13860, 'gens': [[-10, 22, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4635245650309596548905178997', 'prec': 100}], 'lmfdb_label': '13860.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.88367616528388969534340384650', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1731271017013243079904124780153082070', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[34, 0, 1]], 'xcoord_integral_points': [-10, 34]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '13860.v1'}
• ec_torsion_growth •

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

  
  
  • id: 713259
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '13860.v1', 'torsion': [2, 2]}
  • id: 713260
    {'degree': 4, 'field': [15, 0, -9, 0, 1], 'lmfdb_label': '13860.v1', 'torsion': [4]}
  • id: 713262
    {'degree': 8, 'field': [-971, -2566, -1696, 320, 511, 28, -40, -2, 1], 'lmfdb_label': '13860.v1', 'torsion': [2, 4]}
  • id: 713263
    {'degree': 8, 'field': [880, -1320, 1540, -994, 252, -70, 7, -3, 1], 'lmfdb_label': '13860.v1', 'torsion': [6]}
  • id: 713261
    {'degree': 8, 'field': [1225, 1400, 1030, -1120, 496, -4, -14, -4, 1], 'lmfdb_label': '13860.v1', 'torsion': [2, 4]}
  • id: 713264
    {'degree': 16, 'field': [455182225, 0, -348587900, 0, -4406770, 0, 21765340, 0, 712171, 0, -147796, 0, 6506, 0, -136, 0, 1], 'lmfdb_label': '13860.v1', 'torsion': [8]}
  • id: 713265
    {'degree': 16, 'field': [1588565185, -2376569940, 525807515, 165161470, -29347370, 14308580, 9588861, -6818666, 1511094, -287396, 5697, 7730, -1502, 148, 23, -6, 1], 'lmfdb_label': '13860.v1', '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: 303363
    {'conductor': 13860, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '13860.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 303364
    {'conductor': 13860, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '13860.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 303365
    {'conductor': 13860, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13860.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 303366
    {'conductor': 13860, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '13860.v1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 303367
    {'conductor': 13860, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '13860.v1', 'prime': 11, 'reduction_type': 1, '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: 1756126
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [316, 109, 105, 316], [1, 2, 2, 5], [284, 1, 139, 0], [1, 4, 0, 1], [417, 4, 416, 5], [254, 1, 83, 0], [241, 4, 62, 9]], 'adelic_image': '420.12.0.?', 'conductor': 13860, 'lmfdb_label': '13860.v1', 'prime': 0}
  • id: 65701
    {'conductor': 13860, 'elladic_image': '2.3.0.1', 'lmfdb_label': '13860.v1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 614939
    {'lmfdb_iso': '13860.v', 'p': 13, 'prec': 20, 'unit': 123135694737712865904, 'val': 1}
  • id: 614941
    {'lmfdb_iso': '13860.v', 'p': 17, 'prec': 20, 'unit': 190790157823657662423056, 'val': 1}
  • id: 614942
    {'lmfdb_iso': '13860.v', 'p': 19, 'prec': 20, 'unit': 1400486531013467803288414, 'val': 1}
  • id: 614946
    {'lmfdb_iso': '13860.v', 'p': 23, 'prec': 20, 'unit': 11035982563219319539394374, 'val': 1}
  • id: 614938
    {'lmfdb_iso': '13860.v', 'p': 29, 'prec': 20, 'unit': 3462331674459320466425316574, 'val': 1}
  • id: 614950
    {'lmfdb_iso': '13860.v', 'p': 31, 'prec': 20, 'unit': 18922815062044268321008364165, 'val': 1}
  • id: 614935
    {'lmfdb_iso': '13860.v', 'p': 37, 'prec': 20, 'unit': 426527252531094354567941229392, 'val': 1}
  • id: 614936
    {'lmfdb_iso': '13860.v', 'p': 41, 'prec': 20, 'unit': 3186599208099291302029057806794, 'val': 1}
  • id: 614937
    {'lmfdb_iso': '13860.v', 'p': 43, 'prec': 20, 'unit': 5116253996631260654671211493981, 'val': 1}
  • id: 614948
    {'lmfdb_iso': '13860.v', 'p': 47, 'prec': 20, 'unit': 58084115702602782413179517081444, 'val': 1}
  • id: 614943
    {'lmfdb_iso': '13860.v', 'p': 53, 'prec': 20, 'unit': 103822356773611715829116380309187, 'val': 1}
  • id: 614944
    {'lmfdb_iso': '13860.v', 'p': 59, 'prec': 20, 'unit': 3834968165704317370981613554132159, 'val': 1}
  • id: 614949
    {'lmfdb_iso': '13860.v', 'p': 61, 'prec': 20, 'unit': 7402951266753221732204710651856089, 'val': 1}
  • id: 614934
    {'lmfdb_iso': '13860.v', 'p': 67, 'prec': 20, 'unit': 7583553236789728180080168297407365, 'val': 1}
  • id: 614945
    {'lmfdb_iso': '13860.v', 'p': 73, 'prec': 20, 'unit': 138034106022168533207813760431931428, 'val': 1}
  • id: 614940
    {'lmfdb_iso': '13860.v', 'p': 79, 'prec': 20, 'unit': 741857028894314285405614951051555747, 'val': 1}
  • id: 614947
    {'lmfdb_iso': '13860.v', 'p': 89, 'prec': 20, 'unit': 4059732211872010709044909036849945606, 'val': 1}
  • id: 614933
    {'lmfdb_iso': '13860.v', 'p': 97, 'prec': 20, 'unit': 54436083727598237182642843166483901308, 'val': 1}