Elliptic curve data - 187200.y1

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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': '187200io', 'Clabel': '187200io2', 'Cnumber': 2, 'abc_quality': 1.0526824515299218, 'absD': 2267207486668800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 312, 'ainvs': [0, 0, 0, -48427500, 129734030000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 187200, 'degree': 14929920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1014564238691735413216439600', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3], 'jinv': [-168256703745625, 30371328], 'lmfdb_iso': '187200.y', 'lmfdb_label': '187200.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3363, -76479], 'min_quad_twist_disc': -120, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '78.8.0.?', '312.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1593375834876558662041854978', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43947090040580048176433360387', 'prec': 103}, 'szpiro_ratio': 5.3295723222974365, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, -1, 0, 0, 0, 0, 0, -5, 0], 'aplist': [0, 0, 0, -4, 0, -1, 0, -5, 0, 3, -4, 7, -3, -2, -9, 9, 6, -8, -5, 3, -4, 11, -6, -6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 187200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '187200.y', 'trace_hash': 534186708691121451}
• 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': '0.0020235278150400697559583497450', 'prec': 110}, 'conductor': 187200, 'gens': [[-1946, 465408, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1593375834876558662041854978', 'prec': 100}], 'lmfdb_label': '187200.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14143188530890362990309780460', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7061036485507081673622541109841812743', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [-1946]}
• lmfdb_label 187200.y1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8252893
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [3]}
  • id: 8252894
    {'degree': 3, 'field': [-33, -3, -1, 1], 'lmfdb_label': '187200.y1', 'torsion': [2]}
  • id: 8252897
    {'degree': 6, 'field': [-162, 0, 37, 0, -4, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [6]}
  • id: 8252896
    {'degree': 6, 'field': [384, 0, 48, 0, -18, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [3]}
  • id: 8252895
    {'degree': 6, 'field': [1296, 1728, 726, 132, 31, -2, 1], 'lmfdb_label': '187200.y1', 'torsion': [2, 2]}
  • id: 8252898
    {'degree': 12, 'field': [-137592, 0, -150327, 0, -63027, 0, -1518, 0, 1194, 0, 37, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [4]}
  • id: 8252899
    {'degree': 12, 'field': [289, 1020, 3396, 380, -354, 840, 206, 0, 24, -20, 6, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [3, 3]}
  • id: 8252900
    {'degree': 12, 'field': [57600, 0, 31800, 0, 14140, 0, 3258, 0, 497, 0, 36, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [2, 6]}
  • id: 8252901
    {'degree': 18, 'field': [-860302, 3216180, 46518981, 172125208, 188946888, 62910024, -19415563, -19354476, -2536662, 1948796, 524568, -154920, -59192, 5448, 3141, -68, -84, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [9]}
  • id: 8252902
    {'degree': 18, 'field': [21952, 0, 0, -13312, 0, 0, 54416, 0, 0, -7024, 0, 0, 1247, 0, 0, -58, 0, 0, 1], 'lmfdb_label': '187200.y1', 'torsion': [6]}
• 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: 4632528
    {'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 27, 'j_denominator_valuation': 9, 'kodaira_symbol': -21, 'lmfdb_label': '187200.y1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4632529
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '187200.y1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4632530
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '187200.y1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4632531
    {'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '187200.y1', '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: 2866985
    {'adelic_gens': [[4, 3, 9, 7], [166, 141, 311, 38], [145, 6, 123, 19], [79, 6, 0, 1], [307, 6, 306, 7], [309, 310, 302, 305], [1, 6, 0, 1], [3, 4, 8, 11], [155, 306, 153, 293], [1, 0, 6, 1]], 'adelic_image': '312.16.0.?', 'conductor': 187200, 'lmfdb_label': '187200.y1', 'prime': 0}
  • id: 699639
    {'conductor': 187200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '187200.y1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 187200.y does not appear in ec_padic