Elliptic curve data - 187200.u1

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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': '187200cm', 'Clabel': '187200cm1', 'Cnumber': 1, 'abc_quality': 0.9568076435408001, 'absD': 194088960000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -14700, 146000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 187200, 'degree': 589824, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4321306340988612754919711281', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2], 'jinv': [117649, 65], 'lmfdb_iso': '187200.u', 'lmfdb_label': '187200.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 0], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '120.12.0.?', '130.6.0.?', '260.24.0.?', '312.12.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2833811965192905313115565450', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2925], [3, 6, 20800], [5, 18, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96161523729216172163187933916', 'prec': 107}, 'szpiro_ratio': 3.327894138577062, '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, -2, 0, -1, 0, 0, 0, 2, 0, -6, 0], 'aplist': [0, 0, 0, -4, -2, -1, 2, -6, 6, 2, 10, -2, 6, -10, -4, -2, -6, -2, 4, 6, 6, 12, -16, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 187200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '187200.u', 'trace_hash': 2093210749448455770}
• 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': '0.057025241935574446396933158595', 'prec': 107}, 'conductor': 187200, 'gens': [[-80, 900, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2833811965192905313115565450', 'prec': 100}], 'lmfdb_label': '187200.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49138504492952437660484169351', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0450746153067066497462555997385381657', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[10, 0, 1]], 'xcoord_integral_points': [-80, 10, 170]}
• lmfdb_label 187200.u1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8249893
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '187200.u1', 'torsion': [2, 2]}
  • id: 8249894
    {'degree': 4, 'field': [585, 0, -24, 0, 1], 'lmfdb_label': '187200.u1', 'torsion': [4]}
  • id: 8249897
    {'degree': 8, 'field': [-1200, 0, -6840, 0, 360, 0, 40, 0, 1], 'lmfdb_label': '187200.u1', 'torsion': [6]}
  • id: 8249896
    {'degree': 8, 'field': [1296, 0, 0, 0, 513, 0, 0, 0, 1], 'lmfdb_label': '187200.u1', 'torsion': [2, 4]}
  • id: 8249895
    {'degree': 8, 'field': [70240, 36320, -1340, 9880, 3216, -208, -131, -2, 1], 'lmfdb_label': '187200.u1', 'torsion': [2, 4]}
  • id: 8249899
    {'degree': 16, 'field': [16480225, -37859900, 41951770, -27770980, 11351344, -2465116, 37850, 73180, 39681, -35732, 10166, -748, -200, 8, 28, -8, 1], 'lmfdb_label': '187200.u1', 'torsion': [8]}
  • id: 8249900
    {'degree': 16, 'field': [154554624, 0, -64887552, 0, -21251520, 0, 14119776, 0, -2009760, 0, 55464, 0, 508, 0, -50, 0, 1], 'lmfdb_label': '187200.u1', 'torsion': [2, 6]}
  • id: 8249898
    {'degree': 16, 'field': [821677840, 1222265280, 56225600, 24378240, 280747761, -80905776, 30221986, -4608384, 1291667, -237984, 109636, -14592, 4659, -432, 98, 0, 1], 'lmfdb_label': '187200.u1', '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: 4631232
    {'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '187200.u1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4631233
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '187200.u1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4631234
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '187200.u1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4631235
    {'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '187200.u1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2866976
    {'adelic_gens': [[1169, 1032, 780, 1559], [779, 1032, 0, 1559], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3, 8, 28, 75], [1553, 8, 1552, 9], [5, 8, 48, 77], [98, 519, 1329, 1556], [328, 3, 1245, 1042], [1039, 0, 0, 1559]], 'adelic_image': '1560.48.0.?', 'conductor': 187200, 'lmfdb_label': '187200.u1', 'prime': 0}
  • id: 699630
    {'conductor': 187200, 'elladic_image': '4.6.0.3', 'lmfdb_label': '187200.u1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 187200.u does not appear in ec_padic