Elliptic curve data - 4950.d2

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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': '4950b', 'Clabel': '4950b2', 'Cnumber': 2, 'abc_quality': 1.0492563620983195, 'absD': 3267000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [1, -1, 0, -25617, 1584541], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4950, 'degree': 9216, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0847779921053378025369127133', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4406910829875, 7744], 'lmfdb_iso': '4950.d', 'lmfdb_label': '4950.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9222, -338572], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '44.6.0.e.1', '60.48.0-12.h.1.1', '132.48.1.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54153203067935098657872161179', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 6, 275], [5, 14, 198], [11, 12, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374564', 'prec': 110}, 'szpiro_ratio': 4.944863407452739, '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, -1, 0, 1, 0, 0, -2, -1, 0, 0, -1, 0, -2, 2, 0, 1, 6, 0, 2, 0], 'aplist': [-1, 0, 0, -2, -1, -2, 6, 2, 0, -6, -4, -2, 6, 10, -12, 12, 12, -10, -8, 12, -14, 2, 12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 4950, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '4950.d', 'trace_hash': 1267909425803086342}
• 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': '0.11422832483225811767278146221', 'prec': 103}, 'conductor': 4950, 'gens': [[90, -1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.54153203067935098657872161179', 'prec': 103}], 'lmfdb_label': '4950.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2107850794564992340601896885', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6227156111773494607105130226654238288', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[371, -371, 2]], 'xcoord_integral_points': [74, 90, 93, 299]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4950.d2'}
• ec_torsion_growth •

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

  
  
  • id: 258706
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 2]}
  • id: 258707
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '4950.d2', 'torsion': [6]}
  • id: 258709
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 6]}
  • id: 258708
    {'degree': 4, 'field': [4, -13, -15, -1, 1], 'lmfdb_label': '4950.d2', 'torsion': [4]}
  • id: 258710
    {'degree': 6, 'field': [306, -279, 27, -3, 15, -3, 1], 'lmfdb_label': '4950.d2', 'torsion': [6]}
  • id: 258713
    {'degree': 8, 'field': [4, 56, -25, -88, 40, 34, -16, -2, 1], 'lmfdb_label': '4950.d2', 'torsion': [12]}
  • id: 258711
    {'degree': 8, 'field': [121, 0, -26, 0, 87, 0, -14, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 4]}
  • id: 258712
    {'degree': 8, 'field': [4096, 0, -2459, 0, 507, 0, -41, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 4]}
  • id: 258715
    {'degree': 12, 'field': [13374, 6138, 14931, -4290, -1029, 2046, 751, 0, 15, -44, 3, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 6]}
  • id: 258714
    {'degree': 12, 'field': [26896, -16728, 4992, 2210, -645, -1053, 311, 96, -84, 34, 9, -3, 1], 'lmfdb_label': '4950.d2', 'torsion': [3, 6]}
  • id: 258718
    {'degree': 16, 'field': [1, 0, -33, 0, 289, 0, -990, 0, 1470, 0, -990, 0, 289, 0, -33, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 12]}
  • id: 258717
    {'degree': 16, 'field': [16, 0, -96, 0, 316, 0, -360, 0, 381, 0, -198, 0, 67, 0, -6, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [2, 12]}
  • id: 258716
    {'degree': 16, 'field': [256, 0, -19168, 0, 91676, 0, -62794, 0, 25153, 0, -6068, 0, 854, 0, -74, 0, 1], 'lmfdb_label': '4950.d2', 'torsion': [8]}
  • id: 258719
    {'degree': 18, 'field': [-1801, -15969, 347979, 522474, -276744, -646146, 113046, 431994, -34197, -158189, 16887, 31338, -5580, -3252, 780, 168, -45, -3, 1], 'lmfdb_label': '4950.d2', 'torsion': [18]}
• 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: 95717
    {'conductor': 4950, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '4950.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 95718
    {'conductor': 4950, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4950.d2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 95719
    {'conductor': 4950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4950.d2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 95720
    {'conductor': 4950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4950.d2', 'prime': 11, '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: 1696352
    {'adelic_gens': [[263, 0, 0, 659], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [1, 12, 0, 1], [606, 265, 605, 386], [11, 2, 610, 651], [56, 275, 405, 496], [541, 540, 210, 601]], 'adelic_image': '660.96.1.?', 'conductor': 4950, 'lmfdb_label': '4950.d2', 'prime': 0}
  • id: 24637
    {'conductor': 4950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4950.d2', 'modell_image': '2B', 'prime': 2}
  • id: 24638
    {'conductor': 4950, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4950.d2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 181407
    {'lmfdb_iso': '4950.d', 'p': 7, 'prec': 20, 'unit': 28305595404297, 'val': 1}
  • id: 181411
    {'lmfdb_iso': '4950.d', 'p': 13, 'prec': 20, 'unit': 1354882387493566389138, 'val': 1}
  • id: 181413
    {'lmfdb_iso': '4950.d', 'p': 17, 'prec': 20, 'unit': 91350456860211898189082, 'val': 1}
  • id: 181414
    {'lmfdb_iso': '4950.d', 'p': 19, 'prec': 20, 'unit': 943325646572318067683816, 'val': 1}
  • id: 181410
    {'lmfdb_iso': '4950.d', 'p': 29, 'prec': 20, 'unit': 5800089686821397368299328570, 'val': 1}
  • id: 181421
    {'lmfdb_iso': '4950.d', 'p': 31, 'prec': 20, 'unit': 21537644826861076595263254526, 'val': 1}
  • id: 181406
    {'lmfdb_iso': '4950.d', 'p': 37, 'prec': 20, 'unit': 375747985839014869962991353077, 'val': 1}
  • id: 181408
    {'lmfdb_iso': '4950.d', 'p': 41, 'prec': 20, 'unit': 1423665633503000192735381672934, 'val': 1}
  • id: 181409
    {'lmfdb_iso': '4950.d', 'p': 43, 'prec': 20, 'unit': 8916891126486528141410170135773, 'val': 1}
  • id: 181419
    {'lmfdb_iso': '4950.d', 'p': 47, 'prec': 20, 'unit': 19395140711045420581131797059688, 'val': 1}
  • id: 181415
    {'lmfdb_iso': '4950.d', 'p': 53, 'prec': 20, 'unit': 80693674112737458620328116711557, 'val': 1}
  • id: 181416
    {'lmfdb_iso': '4950.d', 'p': 59, 'prec': 20, 'unit': 320699025182350455202103160103272, 'val': 1}
  • id: 181420
    {'lmfdb_iso': '4950.d', 'p': 61, 'prec': 20, 'unit': 5163857394709639374436759743446966, 'val': 1}
  • id: 181405
    {'lmfdb_iso': '4950.d', 'p': 67, 'prec': 20, 'unit': 10510375231565938130825434640893177, 'val': 1}
  • id: 181418
    {'lmfdb_iso': '4950.d', 'p': 71, 'prec': 20, 'unit': 77513627636319945291709447736006328, 'val': 1}
  • id: 181417
    {'lmfdb_iso': '4950.d', 'p': 73, 'prec': 20, 'unit': 4561523522146326703862576218355433, 'val': 1}
  • id: 181412
    {'lmfdb_iso': '4950.d', 'p': 79, 'prec': 20, 'unit': 807847978275426521673368099689455477, 'val': 1}
  • id: 181404
    {'lmfdb_iso': '4950.d', 'p': 83, 'prec': 20, 'unit': 2624984900060726181028351020819958559, 'val': 1}
  • id: 181403
    {'lmfdb_iso': '4950.d', 'p': 97, 'prec': 20, 'unit': 50503869801892116339806083000957356647, 'val': 1}