Elliptic curve data - 118976.cy2

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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': '118976ca', 'Clabel': '118976ca1', 'Cnumber': 1, 'abc_quality': 0.9456942014037588, 'absD': 17788724668841984, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3432, 'ainvs': [0, 1, 0, 61291, 2678963], 'analytic_rank': 0, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 118976, 'degree': 645120, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8066379838505417495773265125', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 76, 'isogeny_degrees': [1, 3], 'jinv': [321978368, 224939], 'lmfdb_iso': '118976.cy', 'lmfdb_label': '118976.cy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 91, -121], 'min_quad_twist_disc': -104, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '312.8.0.?', '3432.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1859], [3, 2, 10816], [11, 12, 10816], [13, 98, 704]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28450840553349614610285468332', 'prec': 107}, 'szpiro_ratio': 3.8234779075317262, '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, 0, 1, 0, 3, 0, 2, 0, -2, 0, -1, 0, 0, 0, 3, 0, 0, 0, -2, 0], 'aplist': [0, 1, 3, 2, -1, 0, 0, -2, 3, 6, -1, -7, -6, 8, 12, 6, -9, -2, 7, -3, -8, 4, 12, 15, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 118976, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '118976.cy', 'trace_hash': 366524475460420179}
• 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': '0.026963370891106937080603561253', 'prec': 107}, 'conductor': 118976, 'gens': [], 'heights': [], 'lmfdb_label': '118976.cy2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24581763157879180133668585130', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4247173684182524240603453234304814264', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '118976.cy2'}
• ec_torsion_growth •

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

  
  
  • id: 5447461
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '118976.cy2', 'torsion': [3]}
  • id: 5447462
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '118976.cy2', 'torsion': [2]}
  • id: 5447464
    {'degree': 6, 'field': [-702, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '118976.cy2', 'torsion': [3]}
  • id: 5447463
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '118976.cy2', 'torsion': [2, 2]}
  • id: 5447465
    {'degree': 6, 'field': [4394, 0, 0, 0, -26, 0, 1], 'lmfdb_label': '118976.cy2', 'torsion': [6]}
  • id: 5447466
    {'degree': 12, 'field': [-314171, 0, -15808, 0, 4131, 0, 3248, 0, 655, 0, 48, 0, 1], 'lmfdb_label': '118976.cy2', 'torsion': [4]}
  • id: 5447467
    {'degree': 12, 'field': [729, -162, -369, 990, -300, -282, 193, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '118976.cy2', 'torsion': [3, 3]}
  • id: 5447468
    {'degree': 12, 'field': [26245129, -11198878, 1958273, 439286, -410682, 58066, 10707, -4698, 638, 146, -47, -2, 1], 'lmfdb_label': '118976.cy2', 'torsion': [2, 6]}
  • id: 5447470
    {'degree': 18, 'field': [-474552, 0, 0, 0, 2267304, 0, 2478892, 0, 4056, 0, 6760, 0, 2782, 0, 364, 0, 26, 0, 1], 'lmfdb_label': '118976.cy2', 'torsion': [6]}
  • id: 5447469
    {'degree': 18, 'field': [23002343936, 0, 23887049472, 0, 6542490240, 0, 1068101632, 0, 113048832, 0, 7925424, 0, 361816, 0, 10140, 0, 156, 0, 1], 'lmfdb_label': '118976.cy2', 'torsion': [9]}
• 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: 2929730
    {'conductor': 118976, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '118976.cy2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2929731
    {'conductor': 118976, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '118976.cy2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2929732
    {'conductor': 118976, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '118976.cy2', 'prime': 13, 'reduction_type': 0, '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: 2441411
    {'adelic_gens': [[779, 2106, 3393, 2885], [791, 0, 0, 3431], [4, 3, 9, 7], [859, 0, 0, 1], [3427, 6, 3426, 7], [1715, 0, 0, 3431], [2965, 1326, 2964, 1327], [1860, 325, 2431, 573], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '3432.16.0.?', 'conductor': 118976, 'lmfdb_label': '118976.cy2', 'prime': 0}
  • id: 468394
    {'conductor': 118976, 'elladic_image': '3.4.0.1', 'lmfdb_label': '118976.cy2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 118976.cy does not appear in ec_padic