Elliptic curve data - 158400.ou3

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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': '158400fr', 'Clabel': '158400fr1', 'Cnumber': 1, 'abc_quality': 1.058821720855416, 'absD': 176418000000000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -4537800, 3720627000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 158400, 'degree': 3538944, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2755574744359902495791054918', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 384, 'isogeny_degrees': [1, 2, 4], 'jinv': [885956203616256, 15125], 'lmfdb_iso': '158400.ou', 'lmfdb_label': '158400.ou3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5042, 137801], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '20.12.0.g.1', '24.24.0-8.o.1.2', '40.48.0.bq.2', '120.96.0.?', '176.24.0.?', '528.48.0.?', '880.96.3.?', '2640.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 6, 17600], [5, 18, 6336], [11, 12, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34390972341826412540007643884', 'prec': 103}, 'szpiro_ratio': 4.810661062253823, '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, 0, 0, 0, 0, 4, 0, 0, 0, 1, 0, 6, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 0, 4, 1, 6, -6, 4, -4, -2, -8, -10, -10, 0, -4, 10, 4, 2, 8, 0, 14, 16, -8, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 158400, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '158400.ou', 'trace_hash': 1588006810922123662}
• 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': '0.010555429056908472780596836036', 'prec': 107}, 'conductor': 158400, 'gens': [], 'heights': [], 'lmfdb_label': '158400.ou3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40817618767637377641217145077', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2654095014109902112973716061346215949', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1230, 0, 1]], 'xcoord_integral_points': [1230]}
• lmfdb_label 158400.ou3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7089893
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '158400.ou3', 'torsion': [4]}
  • id: 7089892
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '158400.ou3', 'torsion': [4]}
  • id: 7089891
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '158400.ou3', 'torsion': [2, 2]}
  • id: 7089894
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '158400.ou3', 'torsion': [2, 4]}
  • id: 7089898
    {'degree': 8, 'field': [-1875, 0, 0, 0, 150, 0, -30, 0, 1], 'lmfdb_label': '158400.ou3', 'torsion': [6]}
  • id: 7089896
    {'degree': 8, 'field': [81, 0, -324, 0, 171, 0, -24, 0, 1], 'lmfdb_label': '158400.ou3', 'torsion': [2, 8]}
  • id: 7089897
    {'degree': 8, 'field': [51001, 1596, -10308, -5180, 2206, -60, 52, -4, 1], 'lmfdb_label': '158400.ou3', 'torsion': [8]}
  • id: 7089895
    {'degree': 8, 'field': [323761, 0, 44424, 0, -994, 0, 24, 0, 1], 'lmfdb_label': '158400.ou3', 'torsion': [2, 4]}
  • id: 7089902
    {'degree': 16, 'field': [-120095, -514760, 47376, 99308, -67786, -83004, -98276, -88796, -45780, -13736, -4070, -12, 374, 8, 6, -8, 1], 'lmfdb_label': '158400.ou3', 'torsion': [12]}
  • id: 7089901
    {'degree': 16, 'field': [9, 0, 0, 0, -126, 0, 324, 0, -105, 0, -108, 0, 78, 0, -18, 0, 1], 'lmfdb_label': '158400.ou3', 'torsion': [2, 6]}
  • id: 7089903
    {'degree': 16, 'field': [769129, -1080464, -325038, 730844, 698, -60228, -167708, 9436, 86100, -1340, -14444, -2268, 554, 260, -30, -8, 1], 'lmfdb_label': '158400.ou3', 'torsion': [12]}
  • id: 7089900
    {'degree': 16, 'field': [6739216, -18732736, 26035328, -20279776, 9598000, -2575936, 593824, -117696, -852, 1776, -896, 416, 160, -64, 8, -4, 1], 'lmfdb_label': '158400.ou3', 'torsion': [2, 8]}
  • id: 7089899
    {'degree': 16, 'field': [302586025, 202129900, 67512200, -92805300, 51363190, -4009360, 93720, -236540, 163191, -55424, 9768, -3580, 646, -60, 32, -8, 1], 'lmfdb_label': '158400.ou3', 'torsion': [4, 4]}
• 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: 3917813
    {'conductor': 158400, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '158400.ou3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3917814
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '158400.ou3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3917815
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '158400.ou3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3917816
    {'conductor': 158400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '158400.ou3', 'prime': 11, '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: 2689393
    {'adelic_gens': [[15, 166, 2354, 2115], [653, 210, 1896, 587], [1, 16, 0, 1], [1201, 1776, 2568, 1009], [1, 8, 8, 65], [1, 0, 16, 1], [344, 2631, 1209, 854], [2625, 16, 2624, 17], [1759, 0, 0, 2639], [2639, 864, 1092, 971]], 'adelic_image': '2640.192.3.?', 'conductor': 158400, 'lmfdb_label': '158400.ou3', 'prime': 0}
  • id: 604295
    {'conductor': 158400, 'elladic_image': '8.12.0.10', 'lmfdb_label': '158400.ou3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 158400.ou does not appear in ec_padic