Elliptic curve data - 145794.bc2

Formats: - HTML - YAML - JSON - 2025-09-20T01:36:24.953742

• 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': '145794k', 'Clabel': '145794k2', 'Cnumber': 2, 'abc_quality': 0.9673590594607858, 'absD': 46954261973124, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 12408, 'ainvs': [1, 1, 1, -48644, 4096001], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 47], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 145794, 'degree': 794880, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4835463097243857672156024651', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [1180932193, 4356], 'lmfdb_iso': '145794.bc', 'lmfdb_label': '145794.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -22, -49], 'min_quad_twist_disc': -47, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '132.12.0.?', '188.12.0.?', '264.24.0.?', '376.24.0.?', '6204.24.0.?', '12408.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2209], [3, 4, 48598], [11, 12, 13254], [47, 1106, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44152749113064352619487286979', 'prec': 107}, 'szpiro_ratio': 3.6998015777785467, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -2, -1, -4, 1, 1, -2, 1, -1, 6, -4, 2, 1, 2, 1, -4, -2], 'aplist': [1, -1, -2, -4, 1, 6, 2, -4, -4, -6, 0, 6, 6, -4, 0, 2, 12, -14, -4, -12, 6, -4, 4, 10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 145794, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '145794.bc', 'trace_hash': 327710976513018424}
• 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': '0.051452685618772992159181584010', 'prec': 107}, 'conductor': 145794, 'gens': [], 'heights': [], 'lmfdb_label': '145794.bc2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.64007300217578203341330919758', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2801460043515640668266183951559665285', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-255, 127, 1], [121, -61, 1]], 'xcoord_integral_points': [-255, 121]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [0, 0], '11': [1, 0], '47': 'a'}, 'iwp0': 3, 'lmfdb_label': '145794.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 6577190
    {'degree': 4, 'field': [102, -28, 29, -2, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 4]}
  • id: 6577191
    {'degree': 4, 'field': [1474, 110, -109, -2, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 4]}
  • id: 6577192
    {'degree': 4, 'field': [1600, 0, 14, 0, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 4]}
  • id: 6577193
    {'degree': 8, 'field': [-907872, -124368, 141176, -5616, -2460, -86, 6, 0, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 6]}
  • id: 6577194
    {'degree': 16, 'field': [295936, 0, 178688, 0, 4198052, 0, -4949172, 0, 2469113, 0, 3144, 0, 3158, 0, -4, 0, 1], 'lmfdb_label': '145794.bc2', 'torsion': [4, 4]}
  • id: 6577195
    {'degree': 16, 'field': [112476464, -115170560, 166911136, -115757088, 90196846, -43463680, 22661944, -7764896, 2926227, -714800, 202712, -34672, 7538, -840, 140, -8, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 8]}
  • id: 6577196
    {'degree': 16, 'field': [839679169792, 54858351488, -60014497248, 10097012512, -4501899936, -679269000, 264710434, -31571486, 6298101, 1120142, -280256, 29718, -4134, -406, 78, -8, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 8]}
  • id: 6577197
    {'degree': 16, 'field': [1562122405888, 335324368896, 508342551552, 90371736576, 60046045312, 9824246784, 3185859072, 446730240, 86419056, 7647552, 1030464, 14784, 2152, -528, 24, 0, 1], 'lmfdb_label': '145794.bc2', 'torsion': [2, 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: 3606625
    {'conductor': 145794, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145794.bc2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3606626
    {'conductor': 145794, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145794.bc2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3606627
    {'conductor': 145794, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '145794.bc2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3606628
    {'conductor': 145794, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '145794.bc2', 'prime': 47, '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: 2611309
    {'adelic_gens': [[11087, 0, 0, 12407], [12405, 4, 12404, 5], [2445, 11092, 9776, 2915], [1, 4, 0, 1], [12315, 5546, 2350, 6863], [5547, 5546, 2726, 6863], [1, 0, 4, 1], [6205, 11092, 5546, 9777]], 'adelic_image': '12408.48.0.?', 'conductor': 145794, 'lmfdb_label': '145794.bc2', 'prime': 0}
  • id: 561653
    {'conductor': 145794, 'elladic_image': '8.12.0.4', 'lmfdb_label': '145794.bc2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 145794.bc does not appear in ec_padic