Elliptic curve data - 74529.t2

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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': '74529e', 'Clabel': '74529e2', 'Cnumber': 2, 'absD': 132959966058129483, 'ainvs': [0, 0, 1, 0, 17543594], 'analytic_rank': 0, 'bad_primes': [3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 74529, 'degree': 370656, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9646179441335438511186963904', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '74529.t', 'lmfdb_label': '74529.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 0, -296], 'min_quad_twist_disc': -39, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 103}, 'szpiro_ratio': 4.178962488085485, '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, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -1, 0], 'aplist': [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -7, -11, 0, 8, 0, 0, 0, 1, -11, 0, -10, -13, 0, 0, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 74529, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '74529.t', 'trace_hash': 1629601003619362497}
• 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': '0.019658688249845025260634829419', 'prec': 107}, 'conductor': 74529, 'gens': [], 'heights': [], 'lmfdb_label': '74529.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26095918017532502584549874091', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.52191836035065005169099748182591056663', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 's?', '3': 'a', '5': [0, 0, 0], '7': 'a', '11': [0, 0, 0], '13': 'a', '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '74529.t2'}
• ec_torsion_growth •

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

  
  
  • id: 3527432
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '74529.t2', 'torsion': [3]}
  • id: 3527433
    {'degree': 3, 'field': [-27, 61, -1, 1], 'lmfdb_label': '74529.t2', 'torsion': [2]}
  • id: 3527436
    {'degree': 6, 'field': [-24506, -3134, 3112, 43, -19, -3, 1], 'lmfdb_label': '74529.t2', 'torsion': [6]}
  • id: 3527434
    {'degree': 6, 'field': [729, -1647, 3694, -7, -60, -1, 1], 'lmfdb_label': '74529.t2', 'torsion': [2, 2]}
  • id: 3527435
    {'degree': 6, 'field': [79625, 0, 0, -182, 0, 0, 1], 'lmfdb_label': '74529.t2', 'torsion': [3]}
  • id: 3527437
    {'degree': 12, 'field': [-9111322506, 3666781404, -1057004364, 235677624, -36296234, 1933360, 744316, -141224, 11770, -1190, 58, -2, 1], 'lmfdb_label': '74529.t2', 'torsion': [4]}
  • id: 3527439
    {'degree': 12, 'field': [42511, -62514, -13693, 33970, 5424, -5451, -532, 315, 61, 66, 3, -4, 1], 'lmfdb_label': '74529.t2', 'torsion': [7]}
  • id: 3527438
    {'degree': 12, 'field': [9566649, 27976185, 36846603, 28003320, 13029489, 3622311, 531126, 18963, -3687, -72, 27, -3, 1], 'lmfdb_label': '74529.t2', 'torsion': [3, 3]}
  • id: 3527440
    {'degree': 12, 'field': [96059601, -14554485, -8301447, 623106, 902971, -107177, 22310, -245, -1121, 218, -7, -1, 1], 'lmfdb_label': '74529.t2', 'torsion': [2, 6]}
  • id: 3527442
    {'degree': 18, 'field': [1386195875, 0, 0, 427624118, 0, 0, 182659495, 0, 0, -10192932, 0, 0, 161597, 0, 0, -718, 0, 0, 1], 'lmfdb_label': '74529.t2', 'torsion': [6]}
  • id: 3527441
    {'degree': 18, 'field': [6350689864, -39097452276, 151474587156, -230240209713, 32930742597, 51177851679, -9233975754, -4211011650, 828933240, 112682279, -32709852, 2403936, 345543, -61068, 2703, -1596, 150, -6, 1], 'lmfdb_label': '74529.t2', '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: 1809944
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '74529.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1809945
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '74529.t2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1809946
    {'conductor': 74529, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '74529.t2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• lmfdb_label 74529.t2 does not appear in ec_galrep
• lmfdb_iso 74529.t does not appear in ec_padic