Elliptic curve data - 369600.pg5

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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': '369600pg', 'Clabel': '369600pg4', 'Cnumber': 4, 'abc_quality': 0.9546259863711791, 'absD': 92191467540480000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [0, 1, 0, 407967, -450803937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 369600, 'degree': 12582912, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5117328294314519745668728274', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 396, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1833318007919, 22507682505], 'lmfdb_iso': '369600.pg', 'lmfdb_label': '369600.pg5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 255, 7152], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '24.24.0-8.n.1.3', '40.24.0-8.n.1.2', '56.24.0.bv.1', '120.48.0.?', '168.48.0.?', '176.24.0.?', '280.48.0.?', '420.12.0.?', '528.48.0.?', '840.96.0.?', '880.48.0.?', '1232.48.0.?', '2640.96.0.?', '3696.96.0.?', '6160.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66729310237448382314064497860', 'prec': 103}, 'szpiro_ratio': 4.163502305643531, '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, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 1, 0, -1, 1, -2, 6, -4, 8, -6, -8, 6, -6, 4, -8, -10, -12, 10, 12, 8, 6, -8, 4, 10, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '369600.pg', 'trace_hash': 85213247862565327}
• 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': '0.0065816772898059647730187735712', 'prec': 110}, 'conductor': 369600, 'gens': [], 'heights': [], 'lmfdb_label': '369600.pg5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.093544814983769840893380217398', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9934340794806349085881669567274459381', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[593, 0, 1]], 'xcoord_integral_points': [593]}
• lmfdb_label 369600.pg5 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15346152
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [4]}
  • id: 15346153
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [4]}
  • id: 15346151
    {'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [2, 2]}
  • id: 15346156
    {'degree': 4, 'field': [1, 0, 8, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [8]}
  • id: 15346155
    {'degree': 4, 'field': [74, -24, 25, -2, 1], 'lmfdb_label': '369600.pg5', 'torsion': [8]}
  • id: 15346154
    {'degree': 4, 'field': [169, 0, -16, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [2, 4]}
  • id: 15346160
    {'degree': 8, 'field': [-30000, 0, 113000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [6]}
  • id: 15346157
    {'degree': 8, 'field': [16, 0, 32, 0, 129, 0, 8, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [2, 4]}
  • id: 15346159
    {'degree': 8, 'field': [154, -252, 382, -284, 203, -76, 30, -4, 1], 'lmfdb_label': '369600.pg5', 'torsion': [2, 8]}
  • id: 15346158
    {'degree': 8, 'field': [173056, 0, -29032, 0, 3804, 0, -118, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [8]}
  • id: 15346161
    {'degree': 16, 'field': [11236, 0, 31944, 0, 99760, 0, 69396, 0, 19269, 0, 2196, 0, 430, 0, 24, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [4, 4]}
  • id: 15346167
    {'degree': 16, 'field': [110817729, 0, 53450298, 0, 26881965, 0, 6256876, 0, 749810, 0, 56014, 0, 2788, 0, 80, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [12]}
  • id: 15346162
    {'degree': 16, 'field': [116985856, 0, 0, 0, -7402391, 0, 0, 0, 497811, 0, 0, 0, 1579, 0, 0, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [2, 8]}
  • id: 15346164
    {'degree': 16, 'field': [185531641, 0, 432047312, 0, 277011958, 0, 57542744, 0, 2126395, 0, 237704, 0, -2642, 0, -88, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [16]}
  • id: 15346163
    {'degree': 16, 'field': [2143690000, 0, -389170000, 0, 13958700, 0, -3567060, 0, 1319269, 0, -153804, 0, 7455, 0, -142, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [16]}
  • id: 15346166
    {'degree': 16, 'field': [304184237841, 0, 116089747884, 0, 4458788532, 0, -1514909628, 0, 33967350, 0, -89532, 0, -2988, 0, -84, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [12]}
  • id: 15346165
    {'degree': 16, 'field': [1297418955849, 0, -281547423984, 0, 21528077125, 0, -548215152, 0, 15926430, 0, -266912, 0, 492, 0, 0, 0, 1], 'lmfdb_label': '369600.pg5', 'torsion': [2, 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: 9145377
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '369600.pg5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9145378
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.pg5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9145379
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '369600.pg5', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9145380
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.pg5', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9145381
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '369600.pg5', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

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

  
  
  • id: 3964833
    {'adelic_gens': [[1, 16, 0, 1], [11761, 16, 1688, 129], [5288, 1, 10639, 10], [18465, 16, 18464, 17], [18479, 18464, 4612, 4491], [15, 2, 18382, 18467], [14768, 18475, 45, 14], [6176, 5, 18435, 18466], [5, 4, 18476, 18477], [1, 0, 16, 1], [2302, 13853, 16145, 9218]], 'adelic_image': '18480.192.1.?', 'conductor': 369600, 'lmfdb_label': '369600.pg5', 'prime': 0}
  • id: 1269372
    {'conductor': 369600, 'elladic_image': '8.12.0.5', 'lmfdb_label': '369600.pg5', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 369600.pg does not appear in ec_padic