Elliptic curve data - 147994.z2

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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': '147994h', 'Clabel': '147994h4', 'Cnumber': 4, 'abc_quality': 1.1340815776703688, 'absD': 10653680572782293816, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1736, 'ainvs': [1, -1, 1, -580144, -65167077], 'analytic_rank': 0, 'bad_primes': [2, 7, 11, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 147994, 'degree': 2764800, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3441666804292026790748054532', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 4], 'jinv': [24331017010833, 12004097336], 'lmfdb_iso': '147994.z', 'lmfdb_label': '147994.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -604, 2343], 'min_quad_twist_disc': -31, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '248.24.0.?', '868.12.0.?', '1736.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 6727], [3, 2, 73997], [7, 8, 21142], [11, 12, 13454], [31, 482, 154]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62717307818662955611022329093', 'prec': 103}, 'szpiro_ratio': 4.319782578278475, '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, 1, 0, 1, 2, 0, -1, 1, -3, 2, 1, 0, -2, -1, 0, 1, -2, -3, 0, 2], 'aplist': [1, 0, 2, -1, 1, -2, -2, 0, 8, 2, 0, 2, 10, -4, 8, -6, 0, -10, -12, 16, 14, 0, 0, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 147994, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '147994.z', 'trace_hash': 488592254488591330}
• 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': '0.0092020098129301976421255377865', 'prec': 110}, 'conductor': 147994, 'gens': [], 'heights': [], 'lmfdb_label': '147994.z2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18194241870631820156588441566', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3666180489516368375812259758102571622', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-2789, 2785, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [17, 1], '3': [4, 4, 0], '7': [0, 0], '11': [3, 0], '31': 'a'}, 'iwp0': 5, 'lmfdb_label': '147994.z2'}
• ec_torsion_growth •

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

  
  
  • id: 6662958
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [2, 2]}
  • id: 6662960
    {'degree': 2, 'field': [62, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [4]}
  • id: 6662959
    {'degree': 2, 'field': [217, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [4]}
  • id: 6662961
    {'degree': 4, 'field': [361, 0, 24, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [2, 4]}
  • id: 6662965
    {'degree': 8, 'field': [-57632, -77912, -19982, 14269, 154, -263, -17, -2, 1], 'lmfdb_label': '147994.z2', 'torsion': [6]}
  • id: 6662962
    {'degree': 8, 'field': [4748, 34384, -12568, -1344, 1704, -56, -76, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [2, 4]}
  • id: 6662964
    {'degree': 8, 'field': [19106, -2456, 2796, -696, 389, -52, 22, -4, 1], 'lmfdb_label': '147994.z2', 'torsion': [8]}
  • id: 6662963
    {'degree': 8, 'field': [88804, 0, 10861, 0, 787, 0, 43, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [8]}
  • id: 6662966
    {'degree': 16, 'field': [30669444, -42177408, 29001728, -512960, -4796900, 2827216, 652288, -51520, 181341, 43736, 1568, 2800, 522, -56, 0, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [4, 4]}
  • id: 6662968
    {'degree': 16, 'field': [78605956, 0, -46893576, 0, 13126928, 0, -2200300, 0, 245909, 0, -19280, 0, 1098, 0, -44, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [2, 8]}
  • id: 6662967
    {'degree': 16, 'field': [132870850, -75744200, 95227412, -41917960, 28629066, -10039504, 4799584, -1370216, 505827, -120648, 36520, -7528, 1922, -336, 68, -8, 1], 'lmfdb_label': '147994.z2', 'torsion': [2, 8]}
  • id: 6662971
    {'degree': 16, 'field': [200958976, 0, 2734396288, 0, 676857472, 0, 102932512, 0, 5997232, 0, 220072, 0, 6316, 0, 124, 0, 1], 'lmfdb_label': '147994.z2', 'torsion': [12]}
  • id: 6662969
    {'degree': 16, 'field': [40675599448, -88765817360, 30223696844, 17557337808, -12731776438, 1045367636, 892553329, -155139720, -17272760, 2636922, -304847, 29416, 9125, -66, -142, -4, 1], 'lmfdb_label': '147994.z2', 'torsion': [2, 6]}
  • id: 6662970
    {'degree': 16, 'field': [356431494784, -193291078144, 18798691392, 26322315904, -5123644984, -541248528, 294461800, 8605820, -527388, -1152388, 84913, 19686, 2594, -626, -30, -4, 1], 'lmfdb_label': '147994.z2', 'torsion': [12]}
• 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: 3659245
    {'conductor': 147994, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '147994.z2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3659246
    {'conductor': 147994, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '147994.z2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3659247
    {'conductor': 147994, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '147994.z2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 3659248
    {'conductor': 147994, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '147994.z2', 'prime': 31, '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: 2624458
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1175, 0, 0, 1735], [1520, 155, 1705, 838], [7, 6, 1730, 1731], [404, 1457, 279, 342], [1729, 8, 1728, 9], [528, 1457, 217, 1272]], 'adelic_image': '1736.48.0.?', 'conductor': 147994, 'lmfdb_label': '147994.z2', 'prime': 0}
  • id: 568909
    {'conductor': 147994, 'elladic_image': '8.12.0.9', 'lmfdb_label': '147994.z2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 147994.z does not appear in ec_padic