Elliptic curve data - 187200.oq4

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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': '187200oa', 'Clabel': '187200oa4', 'Cnumber': 4, 'abc_quality': 1.0187728994158647, 'absD': 23060439112089600000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 1560, 'ainvs': [0, 0, 0, 1619700, 7262998000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 187200, 'degree': 15925248, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9707688641486592374223029727', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 380, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [157376536199, 7722894400], 'lmfdb_iso': '187200.oq', 'lmfdb_label': '187200.oq4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 112, -4194], 'min_quad_twist_disc': -120, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0.b.2', '120.96.0.?', '260.12.0.?', '312.96.0.?', '520.24.0.?', '780.96.3.?', '1560.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7007277776922616150110901407', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 6, 1600], [5, 18, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57702299275763624029845250544', 'prec': 103}, 'szpiro_ratio': 4.854661335945571, '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, -6, 0, 1, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, 0, 4, -6, 1, -6, -2, 6, -6, 2, 2, 6, 2, -12, -6, 6, -2, -4, 6, 10, -4, 0, 6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 187200, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '187200.oq', 'trace_hash': 2153166421796602488}
• 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': '0.0026279854148046039213857384282', 'prec': 110}, 'conductor': 187200, 'gens': [[446, 89856, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7007277776922616150110901407', 'prec': 100}], 'lmfdb_label': '187200.oq4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.091288781480653539702912812576', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4523535898796663545427774834662390967', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-1660, 0, 1]], 'xcoord_integral_points': [-1660, 446]}
• lmfdb_label 187200.oq4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8255232
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [6]}
  • id: 8255231
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 2]}
  • id: 8255233
    {'degree': 4, 'field': [-576, 0, -6, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [4]}
  • id: 8255234
    {'degree': 4, 'field': [25, 0, 0, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 6]}
  • id: 8255235
    {'degree': 6, 'field': [1080, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [6]}
  • id: 8255238
    {'degree': 8, 'field': [196, 0, -612, 0, -187, 0, -12, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [12]}
  • id: 8255237
    {'degree': 8, 'field': [2025, 0, 0, 0, 279, 0, -24, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 4]}
  • id: 8255236
    {'degree': 8, 'field': [20736, 0, 0, 0, 297, 0, 0, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 4]}
  • id: 8255239
    {'degree': 12, 'field': [1521, 234, 621, -1650, 690, 114, 61, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '187200.oq4', 'torsion': [3, 6]}
  • id: 8255240
    {'degree': 12, 'field': [18225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 6]}
  • id: 8255244
    {'degree': 16, 'field': [625, 0, 0, 0, -775, 0, 400, 0, 936, 0, -248, 0, 33, 0, -8, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 12]}
  • id: 8255241
    {'degree': 16, 'field': [6561, 0, 0, 0, 29889, 0, 0, 0, 1296, 0, 0, 0, 369, 0, 0, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [4, 4]}
  • id: 8255243
    {'degree': 16, 'field': [38416, 0, 0, 0, 14393, 0, 0, 0, 3, 0, 0, 0, -37, 0, 0, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [2, 12]}
  • id: 8255242
    {'degree': 16, 'field': [2768896, 0, -3396224, 0, 1705600, 0, -422656, 0, 37584, 0, 3064, 0, -800, 0, -4, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [8]}
  • id: 8255245
    {'degree': 18, 'field': [-8000985000, -14027220000, -2345662500, 6639829000, 2325633750, -584686500, -249198575, -60117900, 4871400, 8403160, 342795, -175440, -65186, -1812, 3879, -44, -84, 0, 1], 'lmfdb_label': '187200.oq4', 'torsion': [18]}
• 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: 4633588
    {'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '187200.oq4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4633589
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '187200.oq4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4633590
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '187200.oq4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4633591
    {'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '187200.oq4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2866855
    {'adelic_gens': [[13, 24, 852, 253], [1537, 24, 1536, 25], [779, 1536, 0, 1559], [603, 1550, 1036, 1459], [391, 24, 195, 1], [1, 24, 0, 1], [15, 16, 314, 335], [1039, 1536, 260, 1559], [1081, 6, 492, 73], [1, 0, 24, 1]], 'adelic_image': '1560.384.9.?', 'conductor': 187200, 'lmfdb_label': '187200.oq4', 'prime': 0}
  • id: 699512
    {'conductor': 187200, 'elladic_image': '4.6.0.5', 'lmfdb_label': '187200.oq4', 'modell_image': '2B', 'prime': 2}
  • id: 699513
    {'conductor': 187200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '187200.oq4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 187200.oq does not appear in ec_padic