Elliptic curve data - 12635.c3

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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': '12635c', 'Clabel': '12635c1', 'Cnumber': 1, 'abc_quality': 0.9038090658355475, 'absD': 31285510865, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5320, 'ainvs': [1, -1, 1, -5122, 142104], 'analytic_rank': 1, 'bad_primes': [5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12635, 'degree': 11520, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89891084938194128063348522879', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [315821241, 665], 'lmfdb_iso': '12635.c', 'lmfdb_label': '12635.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -14, -17], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '152.24.0.?', '280.24.0.?', '1330.6.0.?', '2660.24.0.?', '5320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.5237904829831674257325981153', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57330864020127894937102848715', 'prec': 107}, 'szpiro_ratio': 3.94286633073907, '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, -1, 0, -1, 1, 0, -1, 3, -3, -1, -4, 0, 2, 1, 0, -1, 2, 3, 0, -1], 'aplist': [-1, 0, 1, -1, -4, 2, 2, 0, -8, -6, 8, 6, -6, 4, 8, 6, 12, -2, -4, 12, -6, -12, -4, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 12635, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '12635.c', 'trace_hash': 868817367559700009}
• 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': '0.16565935145034380178867660263', 'prec': 103}, 'conductor': 12635, 'gens': [[8356, 140096, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '8.5237904829831674257325981153', 'prec': 100}], 'lmfdb_label': '12635.c3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1740179084295536464521254410', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5017706686809082759829183156264368162', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[24, 168, 1]], 'xcoord_integral_points': [24, 43]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 9, 0], '5': [4, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '12635.c3'}
• ec_torsion_growth •

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

  
  
  • id: 651655
    {'degree': 2, 'field': [-166, -1, 1], 'lmfdb_label': '12635.c3', 'torsion': [2, 4]}
  • id: 651656
    {'degree': 4, 'field': [44, -10, 11, -2, 1], 'lmfdb_label': '12635.c3', 'torsion': [8]}
  • id: 651658
    {'degree': 8, 'field': [1, 0, -31, 0, 76, 0, -31, 0, 1], 'lmfdb_label': '12635.c3', 'torsion': [2, 8]}
  • id: 651659
    {'degree': 8, 'field': [1, 0, 23, 0, -32, 0, 23, 0, 1], 'lmfdb_label': '12635.c3', 'torsion': [2, 8]}
  • id: 651660
    {'degree': 8, 'field': [19, -76, 133, -133, 76, -19, 4, -4, 1], 'lmfdb_label': '12635.c3', 'torsion': [12]}
  • id: 651657
    {'degree': 8, 'field': [41267776, 0, 2413009, 0, 53891, 0, 499, 0, 1], 'lmfdb_label': '12635.c3', 'torsion': [4, 4]}
  • id: 651662
    {'degree': 16, 'field': [9, 0, 2043, 0, -5220, 0, 4086, 0, 30, 0, -681, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '12635.c3', 'torsion': [2, 12]}
  • id: 651661
    {'degree': 16, 'field': [361, -2888, 8664, -12996, 21299, -47652, 64980, -41876, 11229, -3040, 3344, -2128, 817, -152, 38, 0, 1], 'lmfdb_label': '12635.c3', '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: 273579
    {'conductor': 12635, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12635.c3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 273580
    {'conductor': 12635, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12635.c3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 273581
    {'conductor': 12635, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '12635.c3', 'prime': 19, '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: 1747756
    {'adelic_gens': [[2136, 3, 5, 2], [4659, 4658, 3338, 675], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3329, 3328, 678, 3335], [3048, 3, 4565, 2], [5313, 8, 5312, 9], [7, 6, 5314, 5315], [4476, 5319, 4457, 5314]], 'adelic_image': '5320.48.0.?', 'conductor': 12635, 'lmfdb_label': '12635.c3', 'prime': 0}
  • id: 60079
    {'conductor': 12635, 'elladic_image': '4.12.0.7', 'lmfdb_label': '12635.c3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 553335
    {'lmfdb_iso': '12635.c', 'p': 11, 'prec': 20, 'unit': 51071562903720860814, 'val': 1}
  • id: 553341
    {'lmfdb_iso': '12635.c', 'p': 13, 'prec': 20, 'unit': 667195958961717150085, 'val': 1}
  • id: 553343
    {'lmfdb_iso': '12635.c', 'p': 17, 'prec': 20, 'unit': 161748752435105138635666, 'val': 1}
  • id: 553348
    {'lmfdb_iso': '12635.c', 'p': 23, 'prec': 20, 'unit': 3227016073925646793552364, 'val': 2}
  • id: 553340
    {'lmfdb_iso': '12635.c', 'p': 29, 'prec': 20, 'unit': 2741265472637824686066982488, 'val': 1}
  • id: 553352
    {'lmfdb_iso': '12635.c', 'p': 31, 'prec': 20, 'unit': 19307229049558699755102877094, 'val': 1}
  • id: 553336
    {'lmfdb_iso': '12635.c', 'p': 37, 'prec': 20, 'unit': 278019965399030180499477235642, 'val': 1}
  • id: 553338
    {'lmfdb_iso': '12635.c', 'p': 41, 'prec': 20, 'unit': 1440762198869549164751222448340, 'val': 1}
  • id: 553339
    {'lmfdb_iso': '12635.c', 'p': 43, 'prec': 20, 'unit': 6815045959710323288134559854247, 'val': 1}
  • id: 553350
    {'lmfdb_iso': '12635.c', 'p': 47, 'prec': 20, 'unit': 9005371122675019682918973213726, 'val': 1}
  • id: 553345
    {'lmfdb_iso': '12635.c', 'p': 53, 'prec': 20, 'unit': 473626499890559246373500321877533, 'val': 1}
  • id: 553346
    {'lmfdb_iso': '12635.c', 'p': 59, 'prec': 20, 'unit': 1299265839689345846487231441453485, 'val': 1}
  • id: 553351
    {'lmfdb_iso': '12635.c', 'p': 61, 'prec': 20, 'unit': 2199802895339482208669388860813398, 'val': 1}
  • id: 553344
    {'lmfdb_iso': '12635.c', 'p': 67, 'prec': 20, 'unit': 44086438693133703615238019305187038, 'val': 1}
  • id: 553337
    {'lmfdb_iso': '12635.c', 'p': 71, 'prec': 20, 'unit': 71740601507251617309202773080914281, 'val': 1}
  • id: 553347
    {'lmfdb_iso': '12635.c', 'p': 73, 'prec': 20, 'unit': 252121495529720386641084774193031603, 'val': 1}
  • id: 553342
    {'lmfdb_iso': '12635.c', 'p': 79, 'prec': 20, 'unit': 894819913120005535300542542799018251, 'val': 1}
  • id: 553334
    {'lmfdb_iso': '12635.c', 'p': 83, 'prec': 20, 'unit': 2175509474270213445374019729318109167, 'val': 1}
  • id: 553349
    {'lmfdb_iso': '12635.c', 'p': 89, 'prec': 20, 'unit': 8690974063846884646924445813937700161, 'val': 1}
  • id: 553333
    {'lmfdb_iso': '12635.c', 'p': 97, 'prec': 20, 'unit': 29512676018724590340562088668783673582, 'val': 1}