Elliptic curve data - 14994.cm1

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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': '14994bp', 'Clabel': '14994bp1', 'Cnumber': 1, 'abc_quality': 0.9312386842610948, 'absD': 774156773376, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2856, 'ainvs': [1, -1, 1, -2582, -65243], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 14994, 'degree': 16896, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98972871627038128742662902494', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 64, 'isogeny_degrees': [1], 'jinv': [-599077107, 243712], 'lmfdb_iso': '14994.cm', 'lmfdb_label': '14994.cm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -474, -5068], 'min_quad_twist_disc': 21, 'modell_images': [], 'modm_images': ['2856.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.27639921730639694903756273960', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 2499], [3, 6, 1666], [7, 32, 306], [11, 2, 7497], [17, 18, 882]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25787943042430278797485865601', 'prec': 107}, 'szpiro_ratio': 3.714307615144394, '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, 1, 0, 1, 1, 0, 0, 1, 0, 1, -1, 0, 3, 0, 0, 1, -1, 0, 2, 1], 'aplist': [1, 0, 1, 0, -1, 3, -1, 2, -4, 0, -2, -7, 0, -11, -10, -9, 4, -4, -13, 8, 1, -1, 9, 3, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 14994, 'isogeny_matrix': [[1]], 'lmfdb_iso': '14994.cm', 'trace_hash': 102526352128349416}
• 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': '0.13814416951222826918640048238', 'prec': 103}, 'conductor': 14994, 'gens': [[121, 1115, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.27639921730639694903756273960', 'prec': 103}], 'lmfdb_label': '14994.cm1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32831524421378287386146581454', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9856547346794377361790996263836895944', 'prec': 130}, 'tamagawa_product': 88, 'torsion_generators': [], 'xcoord_integral_points': [65, 121, 415, 521]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14994.cm1'}
• ec_torsion_growth •

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

  
  
  • id: 771133
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '14994.cm1', 'torsion': [2]}
  • id: 771134
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '14994.cm1', 'torsion': [2, 2]}
  • id: 771135
    {'degree': 8, 'field': [-2448, 1656, 756, -126, 84, 126, 21, -3, 1], 'lmfdb_label': '14994.cm1', 'torsion': [3]}
  • id: 771136
    {'degree': 12, 'field': [-34670016, -31659840, -8804976, 2101248, 3035032, 995512, 90254, 9760, 3958, 164, 65, -4, 1], 'lmfdb_label': '14994.cm1', 'torsion': [4]}
• 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: 330945
    {'conductor': 14994, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '14994.cm1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
  • id: 330946
    {'conductor': 14994, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '14994.cm1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 330947
    {'conductor': 14994, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '14994.cm1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 330948
    {'conductor': 14994, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14994.cm1', 'prime': 17, '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

  
  {'adelic_gens': [[2143, 2, 2143, 3], [2855, 2, 2854, 3], [1429, 2, 1429, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 2855, 0], [409, 2, 409, 3], [953, 2, 953, 3], [2689, 2, 2689, 3]], 'adelic_image': '2856.2.0.?', 'conductor': 14994, 'lmfdb_label': '14994.cm1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 672401
    {'lmfdb_iso': '14994.cm', 'p': 5, 'prec': 20, 'unit': 15512742284887, 'val': 1}
  • id: 672400
    {'lmfdb_iso': '14994.cm', 'p': 11, 'prec': 20, 'unit': 527681749253374591532, 'val': 0}
  • id: 672406
    {'lmfdb_iso': '14994.cm', 'p': 13, 'prec': 20, 'unit': 433726238526369320117, 'val': 1}
  • id: 672409
    {'lmfdb_iso': '14994.cm', 'p': 19, 'prec': 20, 'unit': 1789296603950989207909221, 'val': 1}
  • id: 672411
    {'lmfdb_iso': '14994.cm', 'p': 23, 'prec': 20, 'unit': 73228673395307602342828859, 'val': 1}
  • id: 672403
    {'lmfdb_iso': '14994.cm', 'p': 31, 'prec': 20, 'unit': 15183917069545015051034676250, 'val': 1}
  • id: 672416
    {'lmfdb_iso': '14994.cm', 'p': 37, 'prec': 20, 'unit': 595994538616366763724497253639, 'val': 1}
  • id: 672405
    {'lmfdb_iso': '14994.cm', 'p': 43, 'prec': 20, 'unit': 7739944493208929070713385808251, 'val': 1}
  • id: 672414
    {'lmfdb_iso': '14994.cm', 'p': 47, 'prec': 20, 'unit': 39818224280310250363529788818982, 'val': 1}
  • id: 672410
    {'lmfdb_iso': '14994.cm', 'p': 53, 'prec': 20, 'unit': 472032014870440019627327008786140, 'val': 1}
  • id: 672408
    {'lmfdb_iso': '14994.cm', 'p': 59, 'prec': 20, 'unit': 3227271021570292534187227101402212, 'val': 1}
  • id: 672415
    {'lmfdb_iso': '14994.cm', 'p': 61, 'prec': 20, 'unit': 5144610871145243884373159849566093, 'val': 1}
  • id: 672399
    {'lmfdb_iso': '14994.cm', 'p': 67, 'prec': 20, 'unit': 38274793154299905666386281690202295, 'val': 1}
  • id: 672402
    {'lmfdb_iso': '14994.cm', 'p': 71, 'prec': 20, 'unit': 77235072463269233015187788722620931, 'val': 1}
  • id: 672404
    {'lmfdb_iso': '14994.cm', 'p': 73, 'prec': 20, 'unit': 7624599386466307594479219695543020584, 'val': -1}
  • id: 672407
    {'lmfdb_iso': '14994.cm', 'p': 79, 'prec': 20, 'unit': 224567528910996152479584320644212391, 'val': 1}
  • id: 672412
    {'lmfdb_iso': '14994.cm', 'p': 83, 'prec': 20, 'unit': 1473099148649075484154579809978268913, 'val': 1}
  • id: 672413
    {'lmfdb_iso': '14994.cm', 'p': 89, 'prec': 20, 'unit': 10281698569916903722314013094414077053, 'val': 1}
  • id: 672398
    {'lmfdb_iso': '14994.cm', 'p': 97, 'prec': 20, 'unit': 25403603250448825850947172514839913631, 'val': 1}