Elliptic curve data - 488400.bs2

Formats: - HTML - YAML - JSON - 2024-06-05T02:32:54.839412

• 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': '488400bs', 'Clabel': '488400bs1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 7996961783250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, -1, 0, -245333, -46491588], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 488400, 'degree': 3317760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8994911621711857996022374762', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '488400.bs', 'lmfdb_label': '488400.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.697830094309459481063210323', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710243', 'prec': 103}, 'szpiro_ratio': 3.7289207162385196, '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, 0, -1, 0, 0, 0, 0, 0, 1, 0, -1, 0, -2, 0, 0, 0, 4, 0, -2, 0], 'aplist': [0, -1, 0, 0, -1, -2, 4, -2, 0, -4, 2, 1, 10, -2, -8, -10, 0, -10, -8, -16, -10, 14, 4, -4, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 488400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '488400.bs', 'trace_hash': 1887003094348907472}
• 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': '0.022393549634355330077802898476', 'prec': 107}, 'conductor': 488400, 'gens': [[-6467912, 1364942194, 149]], 'heights': [{'__RealLiteral__': 0, 'data': '12.697830094309459481063210323', 'prec': 100}], 'lmfdb_label': '488400.bs2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21457959290881482826145747749', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4493904249244432272801864408399109568', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[572, 0, 1]], 'xcoord_integral_points': [572]}
• lmfdb_label 488400.bs2 does not appear in ec_iwasawa
• lmfdb_label 488400.bs2 does not appear in ec_torsion_growth
• 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: 12042781
    {'conductor': 488400, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '488400.bs2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12042782
    {'conductor': 488400, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '488400.bs2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12042783
    {'conductor': 488400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '488400.bs2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12042784
    {'conductor': 488400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '488400.bs2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12042785
    {'conductor': 488400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '488400.bs2', 'prime': 37, '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

  
  
  • id: 4657704
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [149, 4, 298, 9], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 488400, 'lmfdb_label': '488400.bs2', 'prime': 0}
  • id: 1617023
    {'conductor': 488400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '488400.bs2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 488400.bs does not appear in ec_padic