Elliptic curve data - 187200.cj1

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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': '187200is', 'Clabel': '187200is1', 'Cnumber': 1, 'abc_quality': 1.0808242832950035, 'absD': 223590481920000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 0, 0, -5250960300, 146455678711600], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 187200, 'degree': 51609600, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7330371047164424092024011724', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 61, 'isogeny_degrees': [1, 5], 'jinv': [-134057911417971280740025, 1872], 'lmfdb_iso': '187200.cj', 'lmfdb_label': '187200.cj1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -9116250, -10598103900], 'min_quad_twist_disc': -24, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '52.2.0.a.1', '120.24.0.?', '260.24.1.?', '1560.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6075308853977694745120105940', 'prec': 100}, 'szpiro_ratio': 6.487567475407989, '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, -3, 0, 0, 0, -3, 0, 1, 0, 0, 0, 3, 0, 0, 0], 'aplist': [0, 0, 0, -3, -3, 1, 3, 0, 4, 5, -3, -12, -2, 4, 3, -9, 15, 3, -7, 8, 16, 0, 1, 0, 2], 'class_deg': 5, 'class_size': 2, 'conductor': 187200, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '187200.cj', 'trace_hash': 368164753782785446}
• 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': '0.00057217011358170185250284581728', 'prec': 113}, 'conductor': 187200, 'gens': [], 'heights': [], 'lmfdb_label': '187200.cj1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12904622057308161774464491051', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5485546468769794129357389261496047531', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 187200.cj1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8252925
    {'degree': 3, 'field': [-13, -3, -1, 1], 'lmfdb_label': '187200.cj1', 'torsion': [2]}
  • id: 8252926
    {'degree': 4, 'field': [180, 0, -30, 0, 1], 'lmfdb_label': '187200.cj1', 'torsion': [5]}
  • id: 8252927
    {'degree': 6, 'field': [36, 48, 41, 22, 6, -2, 1], 'lmfdb_label': '187200.cj1', 'torsion': [2, 2]}
  • id: 8252928
    {'degree': 8, 'field': [-4800, 0, 10200, 0, 540, 0, 26, 0, 1], 'lmfdb_label': '187200.cj1', 'torsion': [3]}
  • id: 8252929
    {'degree': 10, 'field': [41070, 0, 435480, 0, -71100, 0, 11340, 0, -150, 0, 1], 'lmfdb_label': '187200.cj1', 'torsion': [5]}
  • id: 8252930
    {'degree': 12, 'field': [-131456, 214464, -154360, 87696, -32303, 5092, -2756, 652, 394, -60, 4, -4, 1], 'lmfdb_label': '187200.cj1', 'torsion': [4]}
  • id: 8252931
    {'degree': 12, 'field': [14580, 0, -31590, 0, -2835, 0, -810, 0, 315, 0, -30, 0, 1], 'lmfdb_label': '187200.cj1', 'torsion': [10]}
• 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: 4632548
    {'conductor': 187200, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '187200.cj1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4632549
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '187200.cj1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4632550
    {'conductor': 187200, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '187200.cj1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 4632551
    {'conductor': 187200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '187200.cj1', '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: 2866264
    {'adelic_gens': [[794, 1035, 465, 1304], [269, 510, 270, 509], [1034, 507, 315, 899], [526, 525, 645, 256], [1551, 10, 1550, 11], [779, 0, 0, 1559], [1, 0, 10, 1], [1427, 510, 1020, 791], [6, 13, 1505, 1441], [1039, 0, 0, 1559], [1, 10, 0, 1]], 'adelic_image': '1560.48.1.?', 'conductor': 187200, 'lmfdb_label': '187200.cj1', 'prime': 0}
  • id: 699036
    {'conductor': 187200, 'elladic_image': '5.12.0.2', 'lmfdb_label': '187200.cj1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 187200.cj does not appear in ec_padic