Elliptic curve data - 369600.ov4

Formats: - HTML - YAML - JSON - 2022-07-01T02:39:06.167742

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '369600ov', 'Clabel': '369600ov1', 'Cnumber': 1, 'absD': 5319537721344000, 'ainvs': [0, 1, 0, -7516993, 7930071743], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 7372800, 'elladic_images': ['2.3.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4414303491935689197320469203', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 385, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [1433528304665250149, 162339408], 'lmfdb_iso': '369600.ov', 'lmfdb_label': '369600.ov4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -117453, -15503103], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '5B.4.2'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3602027422140965934054033089', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.99935010024512586195600890481', 'prec': 103}, '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, 1, 0, 0, 0, -1, 0, 1, 0, 1, 0, -4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 1, 0, -1, 1, -4, -2, 0, 6, 0, -2, -8, 2, 4, -8, 6, 0, -2, 8, 8, 4, -10, -6, 0, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '369600.ov', 'trace_hash': 2086851646716585272}
• 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': '0.0075753123176249738797686656884', 'prec': 110}, 'conductor': 369600, 'gens': [[1573, 660, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3602027422140965934054033089', 'prec': 100}], 'lmfdb_label': '369600.ov4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33233189024686527221288929453', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.0407749687796065150076131564084065904', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[1583, 0, 1]], 'xcoord_integral_points': [1199, 1573, 1583]}
• lmfdb_label 369600.ov4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15345718
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '369600.ov4', 'torsion': [2, 2]}
  • id: 15345720
    {'degree': 4, 'field': [20, 0, -10, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [10]}
  • id: 15345719
    {'degree': 4, 'field': [3465, 0, -120, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [4]}
  • id: 15345723
    {'degree': 8, 'field': [-4177200, 0, 663200, 0, -7080, 0, 0, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [6]}
  • id: 15345721
    {'degree': 8, 'field': [1600, 0, -24400, 0, 6705, 0, -160, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [2, 4]}
  • id: 15345724
    {'degree': 8, 'field': [34211, 19396, -16720, -5256, 2389, 284, -90, -4, 1], 'lmfdb_label': '369600.ov4', 'torsion': [2, 10]}
  • id: 15345722
    {'degree': 8, 'field': [409600, 0, 108000, 0, 6940, 0, 120, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [2, 4]}
  • id: 15345725
    {'degree': 10, 'field': [43218, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [10]}
  • id: 15345728
    {'degree': 16, 'field': [625, 0, -12500, 0, 71625, 0, -113000, 0, 63150, 0, -13700, 0, 1340, 0, -60, 0, 1], 'lmfdb_label': '369600.ov4', 'torsion': [20]}
  • id: 15345726
    {'degree': 16, 'field': [4626916, 193842064, -68650920, -225720880, 52911824, 67238424, -14799788, -6089120, 985941, 343384, -54368, -7992, 1514, -112, 36, -8, 1], 'lmfdb_label': '369600.ov4', 'torsion': [8]}
  • id: 15345727
    {'degree': 16, 'field': [1967471709786, 22407294327264, 25365605963973, 2072696998746, -131479804203, -1060871457184, 137638480673, -9031852246, 1897795049, 30102080, 10577279, 265342, 4423, 640, -5, -2, 1], 'lmfdb_label': '369600.ov4', 'torsion': [2, 6]}
  • id: 15345729
    {'degree': 20, 'field': [18193970086884, -61624563717312, 105197234379048, -113450515280640, 84624510104316, -46274491318164, 19320339841260, -6314121366684, 1632614070426, -333334716456, 52865474729, -6253008510, 498587045, -16104384, -2048362, 408480, -37352, 1356, 49, -6, 1], 'lmfdb_label': '369600.ov4', 'torsion': [2, 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: 9145192
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '369600.ov4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9145193
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '369600.ov4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9145194
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '369600.ov4', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9145195
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.ov4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9145196
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '369600.ov4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1270289
    {'conductor': 369600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '369600.ov4', 'modell_image': '2B', 'prime': 2}
  • id: 1270290
    {'conductor': 369600, 'elladic_image': '5.12.0.2', 'lmfdb_label': '369600.ov4', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 369600.ov does not appear in ec_padic