Elliptic curve data - 187200.hh3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '187200ed', 'Clabel': '187200ed4', 'Cnumber': 4, 'abc_quality': 0.9729321235713593, 'absD': 690789781094400000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -8136300, -8842862000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 187200, 'degree': 9437184, 'elladic_images': ['8.24.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8112455527102258262576066632', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 189, 'isogeny_degrees': [1, 2, 4], 'jinv': [19948814692561, 231344100], 'lmfdb_iso': '187200.hh', 'lmfdb_label': '187200.hh3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -565, -5353], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.3', '12.24.0-4.b.1.2', '24.48.0-24.h.2.27', '40.48.0-40.e.1.2', '104.48.0.?', '120.96.0.?', '312.96.0.?', '520.96.0.?', '1560.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 20800], [5, 18, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41749968131920282913375619594', 'prec': 103}, 'szpiro_ratio': 4.8887536749744775, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, -4, 0, 1, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 0, 0, -4, 1, -6, 4, -8, 6, 8, -10, 6, -4, 0, 10, -4, 2, 12, 16, -2, 16, -12, -10, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 187200, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '187200.hh', 'trace_hash': 1762391857708514936}
• 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': '0.0036156229830667521928596859183', 'prec': 110}, 'conductor': 187200, 'gens': [], 'heights': [], 'lmfdb_label': '187200.hh3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.089453481372289451793728869064', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4312557019566312286996619050184126402', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-1510, 0, 1], [3290, 0, 1]], 'xcoord_integral_points': [-1780, -1510, 3290]}
• lmfdb_label 187200.hh3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8250605
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 4]}
  • id: 8250606
    {'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 4]}
  • id: 8250607
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 4]}
  • id: 8250608
    {'degree': 4, 'field': [430, -80, 81, -2, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 8]}
  • id: 8250611
    {'degree': 8, 'field': [-2430000, 0, 47250, 0, -5400, 0, 0, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 6]}
  • id: 8250609
    {'degree': 8, 'field': [625, 0, 0, 0, -25, 0, 0, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [4, 4]}
  • id: 8250610
    {'degree': 8, 'field': [9841, 988, -584, -836, 489, -88, 34, -4, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 8]}
  • id: 8250613
    {'degree': 16, 'field': [29241, -26676, -6786, -11976, 23071, -2688, 1506, -4628, 1322, -572, 206, 88, 21, -24, 14, -4, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 8]}
  • id: 8250612
    {'degree': 16, 'field': [376996, 785920, -298528, -762560, -138580, -58960, 861792, -491200, -73731, 108040, -16792, -2320, 1290, -200, -72, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 8]}
  • id: 8250614
    {'degree': 16, 'field': [2193361, -1321052, -679412, -307880, 714995, -24728, -19536, -77840, 22664, -5020, 2646, 164, 95, -40, 22, -4, 1], 'lmfdb_label': '187200.hh3', 'torsion': [4, 8]}
  • id: 8250616
    {'degree': 16, 'field': [6237050625, 0, 1663213500, 0, 110880900, 0, 47992500, 0, 3673350, 0, 5940, 0, 900, 0, 60, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 12]}
  • id: 8250615
    {'degree': 16, 'field': [62300160000, 0, -15575040000, 0, 1285440000, 0, -24960000, 0, 3059200, 0, -222400, 0, 7650, 0, -100, 0, 1], 'lmfdb_label': '187200.hh3', 'torsion': [2, 16]}
• 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: 4631564
    {'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '187200.hh3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4631565
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '187200.hh3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4631566
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '187200.hh3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4631567
    {'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '187200.hh3', '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: 2866472
    {'adelic_gens': [[1039, 1552, 1036, 1527], [1241, 1558, 1266, 5], [1, 0, 8, 1], [5, 4, 1556, 1557], [1081, 4, 0, 1], [1553, 384, 6, 1175], [1557, 1162, 1178, 21], [1553, 8, 1552, 9], [1, 8, 0, 1]], 'adelic_image': '1560.192.1.?', 'conductor': 187200, 'lmfdb_label': '187200.hh3', 'prime': 0}
  • id: 699192
    {'conductor': 187200, 'elladic_image': '8.24.0.9', 'lmfdb_label': '187200.hh3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 187200.hh does not appear in ec_padic