Elliptic curve data - 187200.oz2

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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': '187200fz', 'Clabel': '187200fz4', 'Cnumber': 4, 'abc_quality': 1.0084112551708366, 'absD': 17269744527360000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -648300, 19762000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 187200, 'degree': 4718592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3809775466856385171578892056', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 389, 'isogeny_degrees': [1, 2, 4], 'jinv': [20183398562, 11567205], 'lmfdb_iso': '187200.oz', 'lmfdb_label': '187200.oz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -720, 972], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.v.1', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.044993940341277629152141415126', 'prec': 107}, 'szpiro_ratio': 4.263609213946264, '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, -4, 0, 1, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 0, 4, -4, 1, 6, 0, 4, -6, 8, -2, -10, 4, -8, 2, -4, -14, 12, -8, 10, 0, -4, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 187200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '187200.oz', 'trace_hash': 1493063100946971226}
• 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': '0.0085488791912308626357255354473', 'prec': 110}, 'conductor': 187200, 'gens': [], 'heights': [], 'lmfdb_label': '187200.oz2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18734211955450189496744464718', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9974739128720303194791143549582201631', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-820, 0, 1]], 'xcoord_integral_points': [-820]}
• lmfdb_label 187200.oz2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8251933
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [2, 2]}
  • id: 8251935
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '187200.oz2', 'torsion': [4]}
  • id: 8251934
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [4]}
  • id: 8251936
    {'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [2, 4]}
  • id: 8251940
    {'degree': 8, 'field': [-388800, 0, -177120, 0, -2160, 0, 0, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [6]}
  • id: 8251937
    {'degree': 8, 'field': [100, 0, 0, 0, -140, 0, 0, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [2, 4]}
  • id: 8251939
    {'degree': 8, 'field': [1600, 0, 3200, 0, 6360, 0, 80, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [8]}
  • id: 8251938
    {'degree': 8, 'field': [5625, 0, -2730, 0, 514, 0, -26, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [8]}
  • id: 8251941
    {'degree': 16, 'field': [14641, 0, 14036, 0, 10310, 0, 3984, 0, 1019, 0, -336, 0, -10, 0, -4, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [4, 4]}
  • id: 8251942
    {'degree': 16, 'field': [1971216, 0, 370656, 0, -171792, 41760, 99744, -82560, 45268, -20640, 5648, -480, -108, 0, 8, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [2, 8]}
  • id: 8251944
    {'degree': 16, 'field': [20250000, 0, -562464000, 0, 30812400, 0, -115200, 0, 527400, 0, -77040, 0, 1960, 0, -80, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [2, 6]}
  • id: 8251946
    {'degree': 16, 'field': [23040000, 0, 31488000, 0, 41881600, 0, 1574400, 0, 62400, 0, 13120, 0, 240, 0, 0, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [12]}
  • id: 8251945
    {'degree': 16, 'field': [15612502500, 0, 3469644000, 0, -570644100, 0, 54214800, 0, 103200, 0, 65940, 0, 4240, 0, 100, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [12]}
  • id: 8251943
    {'degree': 16, 'field': [46753250625, 0, -2400097500, 0, -235723500, 0, 7521000, 0, 1873375, 0, -77400, 0, 1940, 0, -60, 0, 1], 'lmfdb_label': '187200.oz2', 'torsion': [2, 8]}
• 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: 4632056
    {'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '187200.oz2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4632057
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '187200.oz2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4632058
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '187200.oz2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4632059
    {'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '187200.oz2', 'prime': 13, 'reduction_type': 1, '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: 2866875
    {'adelic_gens': [[1081, 8, 1204, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1039, 1552, 1036, 1527], [304, 1557, 1555, 1558], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [581, 584, 1342, 579], [584, 1357, 191, 162]], 'adelic_image': '1560.48.0.?', 'conductor': 187200, 'lmfdb_label': '187200.oz2', 'prime': 0}
  • id: 699532
    {'conductor': 187200, 'elladic_image': '4.6.0.1', 'lmfdb_label': '187200.oz2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 187200.oz does not appear in ec_padic