Elliptic curve data - 86490.cg2

Formats: - HTML - YAML - JSON - 2024-05-03T12:32:50.011587

• 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': '86490ch', 'Clabel': '86490ch1', 'Cnumber': 1, 'abc_quality': 1.0471286196381777, 'absD': 302845964207137593753600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1240, 'ainvs': [1, -1, 1, -118037408, 494341909827], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 86490, 'degree': 15974400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4014494954942185920240851618', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2], 'jinv': [-281115640967896441, 468084326400], 'lmfdb_iso': '86490.cg', 'lmfdb_label': '86490.cg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13648, 613406], 'min_quad_twist_disc': 93, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '62.6.0.b.1', '1240.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1351497489175906233618803811', 'prec': 100}, 'szpiro_ratio': 5.926925789175141, '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, -1, 0, 4, 1, 0, -1, 2, 0, -2, 4, 0, 1, 0, 0, 0, -1], 'aplist': [1, 0, -1, 4, 2, -2, 0, 0, -6, 0, 0, 2, 10, 4, -4, 6, 4, 0, 4, 16, -4, -4, 8, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 86490, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '86490.cg', 'trace_hash': 54521036547893969}
• 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': '0.0011105509993747540253821499642', 'prec': 110}, 'conductor': 86490, 'gens': [], 'heights': [], 'lmfdb_label': '86490.cg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.096994520971331975767660534115', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0437150905092627399183477739617299610', 'prec': 130}, 'tamagawa_product': 208, 'torsion_generators': [[-12547, 6273, 1]], 'xcoord_integral_points': [-12547]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [17, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [2, 0], '31': 'a'}, 'iwp0': 17, 'lmfdb_label': '86490.cg2'}
• ec_torsion_growth •

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

  
  
  • id: 4051713
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '86490.cg2', 'torsion': [2, 2]}
  • id: 4051714
    {'degree': 4, 'field': [-41, -60, 4, 0, 1], 'lmfdb_label': '86490.cg2', 'torsion': [4]}
  • id: 4051715
    {'degree': 8, 'field': [1312, 256, 3260, 576, 497, 30, 38, -2, 1], 'lmfdb_label': '86490.cg2', 'torsion': [2, 4]}
  • id: 4051716
    {'degree': 8, 'field': [41824, -32720, 11206, -1892, 207, -4, 46, -4, 1], 'lmfdb_label': '86490.cg2', 'torsion': [2, 4]}
  • id: 4051717
    {'degree': 8, 'field': [613566, -66300, 17212, -12477, 192, -139, 33, 0, 1], 'lmfdb_label': '86490.cg2', 'torsion': [6]}
  • id: 4051719
    {'degree': 16, 'field': [5895184, 0, 3766208, 0, 8239360, 0, 3424679, 0, 403210, 0, 27071, 0, 1585, 0, 62, 0, 1], 'lmfdb_label': '86490.cg2', 'torsion': [2, 6]}
  • id: 4051718
    {'degree': 16, 'field': [1418652225, 0, -629758800, 0, -157316580, 0, -17437680, 0, -1593594, 0, -71472, 0, -356, 0, 112, 0, 1], 'lmfdb_label': '86490.cg2', 'torsion': [8]}
• 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: 2110729
    {'conductor': 86490, 'conductor_valuation': 1, 'discriminant_valuation': 26, 'j_denominator_valuation': 26, 'kodaira_symbol': 30, 'lmfdb_label': '86490.cg2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 26}
  • id: 2110730
    {'conductor': 86490, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '86490.cg2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2110731
    {'conductor': 86490, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '86490.cg2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2110732
    {'conductor': 86490, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '86490.cg2', 'prime': 31, '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: 2233639
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1122, 1, 679, 0], [1, 2, 2, 5], [1, 4, 0, 1], [497, 4, 994, 9], [621, 4, 2, 9], [777, 466, 464, 775], [1237, 4, 1236, 5]], 'adelic_image': '1240.12.0.?', 'conductor': 86490, 'lmfdb_label': '86490.cg2', 'prime': 0}
  • id: 352478
    {'conductor': 86490, 'elladic_image': '2.3.0.1', 'lmfdb_label': '86490.cg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 86490.cg does not appear in ec_padic