Elliptic curve data - 411840.jo1

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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': '411840jo', 'Clabel': '411840jo4', 'Cnumber': 4, 'abc_quality': 1.139189521584851, 'absD': 529064766996480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [0, 0, 0, -8504770572, -301885335584784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 411840, 'degree': 165150720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8472299910930672844212366591', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 248, 'isogeny_degrees': [1, 2, 4], 'jinv': [355995140004443961140387841, 2768480], 'lmfdb_iso': '411840.jo', 'lmfdb_label': '411840.jo1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -14765227, 21841461531], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.6', '104.12.0.?', '156.12.0.?', '312.24.0.?', '440.12.0.?', '1320.24.0.?', '5720.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '61.509499229964313543549145534', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 6435], [3, 6, 4160], [5, 6, 82368], [11, 12, 37440], [13, 14, 31680]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2582030759190944745977658585', 'prec': 100}, 'szpiro_ratio': 6.203810453678944, '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, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, 0, -1, -1, -2, -4, -8, 10, 8, -6, 2, 12, 4, -6, -4, -10, -4, 0, -14, -8, 12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 411840, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '411840.jo', 'trace_hash': 2297407975208276702}
• 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': '0.00045534281543705945866064529187', 'prec': 113}, 'conductor': 411840, 'gens': [[516681345489467072195942605, 11744490262744182425953430974431333960883, 545522273]], 'heights': [{'__RealLiteral__': 0, 'data': '61.509499229964313543549145534', 'prec': 100}], 'lmfdb_label': '411840.jo1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.015721135253419954133978124794', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7359932541151959364958689580653256019', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-53244, 0, 1]], 'xcoord_integral_points': [-53244]}
• lmfdb_label 411840.jo1 does not appear in ec_iwasawa
• lmfdb_label 411840.jo1 does not appear in ec_torsion_growth
• 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: 10178962
    {'conductor': 411840, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '411840.jo1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10178963
    {'conductor': 411840, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '411840.jo1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10178964
    {'conductor': 411840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '411840.jo1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10178965
    {'conductor': 411840, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '411840.jo1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10178966
    {'conductor': 411840, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '411840.jo1', '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: 4212827
    {'adelic_gens': [[16648, 3, 16125, 5722], [15016, 723, 3579, 9328], [2296, 3, 11445, 5722], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [12152, 3567, 5013, 16466], [10564, 5721, 3543, 11446], [17153, 8, 17152, 9], [7, 6, 17154, 17155], [5719, 0, 0, 17159]], 'adelic_image': '17160.48.0.?', 'conductor': 411840, 'lmfdb_label': '411840.jo1', 'prime': 0}
  • id: 1393682
    {'conductor': 411840, 'elladic_image': '4.6.0.1', 'lmfdb_label': '411840.jo1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 411840.jo does not appear in ec_padic