Elliptic curve data - 2394.b3

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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': '2394f', 'Clabel': '2394f2', 'Cnumber': 2, 'abc_quality': 1.0638152035316932, 'absD': 1856920464, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1596, 'ainvs': [1, -1, 0, -693, 6885], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2394, 'degree': 1024, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53699275760236837666659392075', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [50529889873, 2547216], 'lmfdb_iso': '2394.b', 'lmfdb_label': '2394.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -77, -255], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '28.12.0.a.1', '76.12.0.?', '84.24.0.?', '228.24.0.?', '532.24.0.?', '1596.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.71087628349610922989405844064', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 266], [7, 8, 342], [19, 20, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.012313386731686469031028697711', 'prec': 110}, 'szpiro_ratio': 4.014731419623518, '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, 0, 1, -2, 0, -1, -1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, -2], 'aplist': [-1, 0, -2, -1, 0, 2, 2, 1, -4, 2, 0, -2, 6, 4, 0, 10, -12, -10, -8, 0, -6, -4, -4, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2394, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2394.b', 'trace_hash': 1457227456775593937}
• 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': '0.34164417237211930771943331387', 'prec': 103}, 'conductor': 2394, 'gens': [[6, 51, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.71087628349610922989405844064', 'prec': 103}], 'lmfdb_label': '2394.b3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4641633007446480892489043596', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0816779313295029867997668798580052373', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-30, 15, 1], [18, -9, 1]], 'xcoord_integral_points': [-30, -3, 6, 18, 19, 27, 46, 270]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [3, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2394.b3'}
• ec_torsion_growth •

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

  
  
  • id: 122241
    {'degree': 4, 'field': [1, 0, -5, 0, 1], 'lmfdb_label': '2394.b3', 'torsion': [2, 4]}
  • id: 122240
    {'degree': 4, 'field': [25, -5, -4, -1, 1], 'lmfdb_label': '2394.b3', 'torsion': [2, 4]}
  • id: 122242
    {'degree': 4, 'field': [100, 0, 1, 0, 1], 'lmfdb_label': '2394.b3', 'torsion': [2, 4]}
  • id: 122243
    {'degree': 8, 'field': [-6912, 0, 0, 0, 288, 0, -25, 0, 1], 'lmfdb_label': '2394.b3', 'torsion': [2, 6]}
  • id: 122246
    {'degree': 16, 'field': [784, -3920, 6664, -2744, -3808, 3388, -42, 238, -325, -718, 471, 128, -142, 32, 1, -4, 1], 'lmfdb_label': '2394.b3', 'torsion': [2, 8]}
  • id: 122245
    {'degree': 16, 'field': [65536, 0, 65536, 0, 99328, 0, -41984, 0, 13072, 0, -2624, 0, 388, 0, 16, 0, 1], 'lmfdb_label': '2394.b3', 'torsion': [2, 8]}
  • id: 122244
    {'degree': 16, 'field': [1449616, 0, -672308, 0, 292049, 0, -98244, 0, 26732, 0, -4686, 0, 524, 0, -32, 0, 1], 'lmfdb_label': '2394.b3', 'torsion': [4, 4]}
  • id: 122247
    {'degree': 16, 'field': [3491391744, 0, -520978752, 0, 105946404, 0, -8398236, 0, 824893, 0, -33796, 0, 1971, 0, -28, 0, 1], 'lmfdb_label': '2394.b3', '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: 40674
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2394.b3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 40675
    {'conductor': 2394, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '2394.b3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 40676
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2394.b3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 40677
    {'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2394.b3', 'prime': 19, 'reduction_type': 1, '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: 1679465
    {'adelic_gens': [[1, 0, 4, 1], [801, 4, 8, 11], [1, 4, 0, 1], [913, 2, 0, 1], [1593, 4, 1592, 5], [1593, 1594, 1066, 1], [1431, 2, 1174, 1595]], 'adelic_image': '1596.48.0.?', 'conductor': 2394, 'lmfdb_label': '2394.b3', 'prime': 0}
  • id: 11757
    {'conductor': 2394, 'elladic_image': '2.6.0.1', 'lmfdb_label': '2394.b3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 73096
    {'lmfdb_iso': '2394.b', 'p': 5, 'prec': 20, 'unit': 1592300405812, 'val': 2}
  • id: 73086
    {'lmfdb_iso': '2394.b', 'p': 13, 'prec': 20, 'unit': 811492925340396479290, 'val': 1}
  • id: 73088
    {'lmfdb_iso': '2394.b', 'p': 17, 'prec': 20, 'unit': 26919451812456116005850, 'val': 1}
  • id: 73092
    {'lmfdb_iso': '2394.b', 'p': 23, 'prec': 20, 'unit': 36356636815135896275714295, 'val': 1}
  • id: 73085
    {'lmfdb_iso': '2394.b', 'p': 29, 'prec': 20, 'unit': 5049205391985204085260463679, 'val': 1}
  • id: 73082
    {'lmfdb_iso': '2394.b', 'p': 37, 'prec': 20, 'unit': 241044692275386649328007724481, 'val': 1}
  • id: 73083
    {'lmfdb_iso': '2394.b', 'p': 41, 'prec': 20, 'unit': 674084711678301206536723109600, 'val': 1}
  • id: 73084
    {'lmfdb_iso': '2394.b', 'p': 43, 'prec': 20, 'unit': 2591671269289981081693400846391, 'val': 1}
  • id: 73090
    {'lmfdb_iso': '2394.b', 'p': 53, 'prec': 20, 'unit': 288176189225784885701569926017857, 'val': 1}
  • id: 73094
    {'lmfdb_iso': '2394.b', 'p': 59, 'prec': 20, 'unit': 3629420574046002626445950654314762, 'val': 1}
  • id: 73095
    {'lmfdb_iso': '2394.b', 'p': 61, 'prec': 20, 'unit': 2450445180326428750057535997841980, 'val': 1}
  • id: 73081
    {'lmfdb_iso': '2394.b', 'p': 67, 'prec': 20, 'unit': 3814068626509482944780577897237389, 'val': 1}
  • id: 73091
    {'lmfdb_iso': '2394.b', 'p': 73, 'prec': 20, 'unit': 18011783781572828799300604196965131, 'val': 1}
  • id: 73087
    {'lmfdb_iso': '2394.b', 'p': 79, 'prec': 20, 'unit': 26952732894182244410281168451370313, 'val': 1}
  • id: 73089
    {'lmfdb_iso': '2394.b', 'p': 83, 'prec': 20, 'unit': 2553545095951993871157726961815913585, 'val': 1}
  • id: 73093
    {'lmfdb_iso': '2394.b', 'p': 89, 'prec': 20, 'unit': 7003356531989163254353283339505757481, 'val': 1}
  • id: 73080
    {'lmfdb_iso': '2394.b', 'p': 97, 'prec': 20, 'unit': 32384457995810677205845367484908339323, 'val': 1}