Elliptic curve data - 29744.n1

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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': '29744o', 'Clabel': '29744o2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 1644667591424, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1716, 'ainvs': [0, -1, 0, -13069, 582737], 'analytic_rank': 0, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 29744, 'degree': 51840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1794869972726554059208869923', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '29744.n', 'lmfdb_label': '29744.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': -52, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '156.8.0.?', '1716.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56508580183140983505067814279', 'prec': 107}, 'szpiro_ratio': 3.88909047915061, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 3, 0, 2, 0, -2, 0, -1, 0, 0, 0, -3, 0, 6, 0, 8, 0], 'aplist': [0, -1, 3, 2, -1, 0, 6, 8, 3, 0, 5, 1, 0, 10, 0, -6, 3, -4, -1, 15, 4, -2, 6, 9, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 29744, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '29744.n', 'trace_hash': 751267228302035550}
• 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': '0.094517148574815567579830103396', 'prec': 107}, 'conductor': 29744, 'gens': [], 'heights': [], 'lmfdb_label': '29744.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.84704653674433027894448109877', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3881861469773211157779243950588644228', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '29744.n1'}
• ec_torsion_growth •

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

  
  
  • id: 1487765
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '29744.n1', 'torsion': [3]}
  • id: 1487766
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '29744.n1', 'torsion': [2]}
  • id: 1487769
    {'degree': 6, 'field': [-13718, -1444, -76, -42, 42, -2, 1], 'lmfdb_label': '29744.n1', 'torsion': [6]}
  • id: 1487767
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '29744.n1', 'torsion': [2, 2]}
  • id: 1487768
    {'degree': 6, 'field': [686, 0, 0, -38, 0, 0, 1], 'lmfdb_label': '29744.n1', 'torsion': [3]}
  • id: 1487770
    {'degree': 12, 'field': [-236402, -29064, -5324, 33628, 1012, -4556, 1100, 1116, -454, -30, 6, -2, 1], 'lmfdb_label': '29744.n1', 'torsion': [4]}
  • id: 1487771
    {'degree': 12, 'field': [469225, -427440, 185277, -50544, 17352, -7512, 2963, -498, 6, -18, 15, -6, 1], 'lmfdb_label': '29744.n1', 'torsion': [3, 3]}
  • id: 1487772
    {'degree': 12, 'field': [232227121, -2956366, 1918255, 2097300, -1099510, 55814, -9667, -8146, 2650, -420, 95, -6, 1], 'lmfdb_label': '29744.n1', 'torsion': [2, 6]}
  • id: 1487774
    {'degree': 18, 'field': [138188413, 0, 0, -21871718, 0, 0, 1498105, 0, 0, -4234, 0, 0, 3003, 0, 0, -44, 0, 0, 1], 'lmfdb_label': '29744.n1', 'torsion': [6]}
  • id: 1487773
    {'degree': 18, 'field': [9029379649, 9873888, -39701682204, 38458678998, -7430244441, -5725258488, 2957690729, -157522380, -157271523, 16112206, 7619568, -1317702, -78554, 13494, 4077, -584, -33, 0, 1], 'lmfdb_label': '29744.n1', 'torsion': [9]}
• 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: 692073
    {'conductor': 29744, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '29744.n1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 692074
    {'conductor': 29744, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '29744.n1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 692075
    {'conductor': 29744, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '29744.n1', 'prime': 13, 'reduction_type': 0, '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: 1862841
    {'adelic_gens': [[4, 3, 9, 7], [937, 1326, 39, 547], [1711, 6, 1710, 7], [1702, 1131, 221, 389], [467, 390, 468, 389], [1, 6, 0, 1], [3, 4, 8, 11], [857, 0, 0, 1715], [1, 0, 6, 1], [791, 0, 0, 1715]], 'adelic_image': '1716.16.0.?', 'conductor': 29744, 'lmfdb_label': '29744.n1', 'prime': 0}
  • id: 133996
    {'conductor': 29744, 'elladic_image': '3.4.0.1', 'lmfdb_label': '29744.n1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 29744.n does not appear in ec_padic