Elliptic curve data - 290145.x2

Formats: - HTML - YAML - JSON - 2024-05-23T23:10:13.458480

• 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': '290145x', 'Clabel': '290145x1', 'Cnumber': 1, 'abc_quality': 0.8260609347706261, 'absD': 23298976683658575, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2668, 'ainvs': [1, 0, 1, -63093, 9541483], 'analytic_rank': 0, 'bad_primes': [3, 5, 23, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 290145, 'degree': 2472960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8383681319761647328219646889', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [-46694890801, 39169575], 'lmfdb_iso': '290145.x', 'lmfdb_label': '290145.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -75, 360], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '46.6.0.a.1', '116.6.0.?', '2668.12.0.?'], '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': '0.15472021698292771923032867272', 'prec': 103}, 'szpiro_ratio': 3.6306306470918814, '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, 1, -1, 1, 1, -4, -3, 1, 1, -2, -1, 2, -4, 1, -1, -4, 1, 6, -1], 'aplist': [1, 1, 1, -4, -2, 2, -4, 6, 1, 0, 4, 0, -2, -10, 12, -2, -4, -12, 8, 8, 14, 14, -12, 16, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 290145, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '290145.x', 'trace_hash': 1991364206945059817}
• 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': '0.025305430450916158464688356384', 'prec': 107}, 'conductor': 290145, 'gens': [], 'heights': [], 'lmfdb_label': '290145.x2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.34794198922740750212584062212', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7835359138192600170067249769405587519', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-307, 153, 1]], 'xcoord_integral_points': [-307]}
• lmfdb_label 290145.x2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12316096
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '290145.x2', 'torsion': [2, 2]}
  • id: 12316097
    {'degree': 4, 'field': [5, 11, 0, -1, 1], 'lmfdb_label': '290145.x2', 'torsion': [4]}
  • id: 12316100
    {'degree': 8, 'field': [-204363, 0, 33147, 0, -1566, 0, 0, 0, 1], 'lmfdb_label': '290145.x2', 'torsion': [6]}
  • id: 12316099
    {'degree': 8, 'field': [900, 600, 767, 0, -60, -20, 0, 0, 1], 'lmfdb_label': '290145.x2', 'torsion': [2, 4]}
  • id: 12316098
    {'degree': 8, 'field': [13314276, 2456256, -121787, -5746, 11723, 468, 107, -2, 1], 'lmfdb_label': '290145.x2', 'torsion': [2, 4]}
  • id: 12316101
    {'degree': 16, 'field': [243231372, 772242804, 208124694, 112814376, 32460193, -9697104, 14147364, -6201368, 1775666, -885788, 402914, -132620, 17772, -1632, 260, -4, 1], 'lmfdb_label': '290145.x2', 'torsion': [8]}
  • id: 12316102
    {'degree': 16, 'field': [195018626403, 14079030498, -13157824932, -1846136754, 931446639, -7543404, -1342710, 2658768, 129784, -507086, 79558, 11008, -1046, -392, 76, -8, 1], 'lmfdb_label': '290145.x2', 'torsion': [2, 6]}
• 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: 7186784
    {'conductor': 290145, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '290145.x2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7186785
    {'conductor': 290145, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '290145.x2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7186786
    {'conductor': 290145, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '290145.x2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7186787
    {'conductor': 290145, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '290145.x2', 'prime': 29, '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: 3491816
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2665, 4, 2664, 5], [669, 2002, 2000, 667], [930, 1, 2203, 0], [553, 4, 1106, 9]], 'adelic_image': '2668.12.0.?', 'conductor': 290145, 'lmfdb_label': '290145.x2', 'prime': 0}
  • id: 1027595
    {'conductor': 290145, 'elladic_image': '2.3.0.1', 'lmfdb_label': '290145.x2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 290145.x does not appear in ec_padic