Elliptic curve data - 29760.bn2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '29760ch', 'Clabel': '29760ch1', 'Cnumber': 1, 'abc_quality': 1.0471286196381777, 'absD': 122705497659801600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1240, 'ainvs': [0, 1, 0, -873441, -314937441], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 29760, 'degree': 399360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1748705197575085874877285633', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2], 'jinv': [-281115640967896441, 468084326400], 'lmfdb_iso': '29760.bn', 'lmfdb_label': '29760.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -13648, 613406], 'min_quad_twist_disc': -8, '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': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.804550525253399182226373612', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1351497489175906233618803811', 'prec': 100}, 'szpiro_ratio': 5.1118795619325486, '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, -1, 0, -4, 0, 1, 0, 2, 0, -2, 0, -1, 0, 0, 0, 0, 0], 'aplist': [0, 1, -1, -4, 2, -2, 0, 0, 6, 0, -1, 2, -10, -4, -4, -6, -4, 0, 4, 16, 4, -4, 8, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 29760, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '29760.bn', 'trace_hash': 1669674755235885921}
• 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': '0.012910155367731515545067493334', 'prec': 107}, 'conductor': 29760, 'gens': [[102983481, 174700256160, 307]], 'heights': [{'__RealLiteral__': 0, 'data': '16.804550525253399182226373612', 'prec': 100}], 'lmfdb_label': '29760.bn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.078076040592636632989616812809', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2481310758027905875101792183173855229', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[1079, 0, 1]], 'xcoord_integral_points': [1079]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '29760.bn2'}
• ec_torsion_growth •

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

  
  
  • id: 1489521
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '29760.bn2', 'torsion': [2, 2]}
  • id: 1489522
    {'degree': 4, 'field': [-31, 0, 6, 0, 1], 'lmfdb_label': '29760.bn2', 'torsion': [4]}
  • id: 1489525
    {'degree': 8, 'field': [-2028, 0, 2906, 0, 156, 0, 0, 0, 1], 'lmfdb_label': '29760.bn2', 'torsion': [6]}
  • id: 1489523
    {'degree': 8, 'field': [19600, 0, -3520, 0, 569, 0, -34, 0, 1], 'lmfdb_label': '29760.bn2', 'torsion': [2, 4]}
  • id: 1489524
    {'degree': 8, 'field': [1721344, 0, 21144, 0, 1145, 0, -6, 0, 1], 'lmfdb_label': '29760.bn2', 'torsion': [2, 4]}
  • id: 1489526
    {'degree': 16, 'field': [-15829344, -90170496, 80775648, -26044992, -3920184, 8168784, -4617920, 613984, 402729, -3992, -72140, 13512, 1126, -344, 132, -8, 1], 'lmfdb_label': '29760.bn2', 'torsion': [8]}
  • id: 1489527
    {'degree': 16, 'field': [251000540, -475540688, 503037430, -49532952, 10519528, 18733952, -8881556, 2068624, -262449, -194012, 63944, -14920, 3518, -504, 92, -8, 1], 'lmfdb_label': '29760.bn2', '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: 692889
    {'conductor': 29760, 'conductor_valuation': 6, 'discriminant_valuation': 44, 'j_denominator_valuation': 26, 'kodaira_symbol': -38, 'lmfdb_label': '29760.bn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 692890
    {'conductor': 29760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29760.bn2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 692891
    {'conductor': 29760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29760.bn2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 692892
    {'conductor': 29760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '29760.bn2', 'prime': 31, '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: 1862952
    {'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': 29760, 'lmfdb_label': '29760.bn2', 'prime': 0}
  • id: 134061
    {'conductor': 29760, 'elladic_image': '2.3.0.1', 'lmfdb_label': '29760.bn2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1438066
    {'lmfdb_iso': '29760.bn', 'p': 7, 'prec': 20, 'unit': 1416022753113277, 'val': 1}
  • id: 1438064
    {'lmfdb_iso': '29760.bn', 'p': 11, 'prec': 20, 'unit': 43001689350760160099, 'val': 1}
  • id: 1438069
    {'lmfdb_iso': '29760.bn', 'p': 13, 'prec': 20, 'unit': 153216656965986424672, 'val': 1}
  • id: 1438075
    {'lmfdb_iso': '29760.bn', 'p': 23, 'prec': 20, 'unit': 17305850877838895821723396, 'val': 1}
  • id: 1438065
    {'lmfdb_iso': '29760.bn', 'p': 37, 'prec': 20, 'unit': 454629091616876198617624039460, 'val': 1}
  • id: 1438067
    {'lmfdb_iso': '29760.bn', 'p': 41, 'prec': 20, 'unit': 2161612588511797942282577224625, 'val': 1}
  • id: 1438068
    {'lmfdb_iso': '29760.bn', 'p': 43, 'prec': 20, 'unit': 4072812824636005755317756048687, 'val': 1}
  • id: 1438078
    {'lmfdb_iso': '29760.bn', 'p': 47, 'prec': 20, 'unit': 48931318653982692504831842044294, 'val': 1}
  • id: 1438073
    {'lmfdb_iso': '29760.bn', 'p': 53, 'prec': 20, 'unit': 466067067170880046107865128860048, 'val': 1}
  • id: 1438071
    {'lmfdb_iso': '29760.bn', 'p': 59, 'prec': 20, 'unit': 294253051391813067973406623694740, 'val': 1}
  • id: 1438063
    {'lmfdb_iso': '29760.bn', 'p': 67, 'prec': 20, 'unit': 18907296399547621109946636948954478, 'val': 1}
  • id: 1438077
    {'lmfdb_iso': '29760.bn', 'p': 71, 'prec': 20, 'unit': 136068417493651339092702349387991543, 'val': 1}
  • id: 1438074
    {'lmfdb_iso': '29760.bn', 'p': 73, 'prec': 20, 'unit': 171810511324569596689888151008062637, 'val': 1}
  • id: 1438070
    {'lmfdb_iso': '29760.bn', 'p': 79, 'prec': 20, 'unit': 820266513118349268957312824042404939, 'val': 1}
  • id: 1438072
    {'lmfdb_iso': '29760.bn', 'p': 83, 'prec': 20, 'unit': 868484212633597256238949033477190247, 'val': 1}
  • id: 1438076
    {'lmfdb_iso': '29760.bn', 'p': 89, 'prec': 20, 'unit': 8677615273124917771047344681784596429, 'val': 1}
  • id: 1438062
    {'lmfdb_iso': '29760.bn', 'p': 97, 'prec': 20, 'unit': 30212752623690540665013016809523481191, 'val': 1}