Elliptic curve data - 381480.g5

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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': '381480g', 'Clabel': '381480g5', 'Cnumber': 5, 'abc_quality': 0.9846812626337311, 'absD': 284491175754763809638400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 44880, 'ainvs': [0, -1, 0, 2126944, -25635039444], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 381480, 'degree': 37748736, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1795900134677669771281351804', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [21526240798078, 5754999888825], 'lmfdb_iso': '381480.g', 'lmfdb_label': '381480.g5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7360, -5215200], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '48.24.0-8.n.1.5', '68.12.0-4.c.1.1', '80.24.0.?', '120.24.0.?', '136.24.0.?', '176.24.0.?', '240.48.0.?', '264.24.0.?', '440.24.0.?', '528.48.0.?', '816.48.0.?', '880.48.0.?', '1320.48.0.?', '1360.48.0.?', '2040.48.0.?', '2640.96.0.?', '2992.48.0.?', '4080.96.0.?', '4488.48.0.?', '7480.48.0.?', '8976.96.0.?', '14960.96.0.?', '22440.96.0.?', '44880.192.1.?'], '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, 'serre_invariants': [[2, 4, 9537], [3, 4, 127160], [5, 6, 76296], [11, 12, 34680], [17, 162, 1320]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1275984259263757367042384268', 'prec': 100}, 'szpiro_ratio': 4.7820131541005075, '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, -1, 0, 0, 0, 1, 0, -1, 0, -2, 0, 1, 0, 0, 0, 4, 0], 'aplist': [0, -1, -1, 0, -1, -2, 0, 4, 8, -6, 0, 10, 6, -4, 0, 6, 4, -14, 4, 0, -10, 0, 12, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 381480, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 2, 4, 2], [8, 4, 2, 1, 8, 4], [4, 2, 4, 8, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '381480.g', 'trace_hash': 598097102841362827}
• 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': '0.0017307853275132922313289522716', 'prec': 110}, 'conductor': 381480, 'gens': [], 'heights': [], 'lmfdb_label': '381480.g5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.045839980294620281416160794988', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4668793694278490053171454396172568075', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[2709, 0, 1]], 'xcoord_integral_points': [2709]}
• lmfdb_label 381480.g5 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15794782
    {'degree': 2, 'field': [-1122, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [4]}
  • id: 15794783
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [4]}
  • id: 15794781
    {'degree': 2, 'field': [66, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [2, 2]}
  • id: 15794785
    {'degree': 4, 'field': [186, -42, 43, -2, 1], 'lmfdb_label': '381480.g5', 'torsion': [8]}
  • id: 15794784
    {'degree': 4, 'field': [2401, 0, 166, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [2, 4]}
  • id: 15794786
    {'degree': 4, 'field': [16129, 0, -186, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [8]}
  • id: 15794790
    {'degree': 8, 'field': [-250563, 0, -32504, 0, -1734, 0, 0, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [6]}
  • id: 15794788
    {'degree': 8, 'field': [323986, 31144, -32236, 2200, -1139, 44, -10, -4, 1], 'lmfdb_label': '381480.g5', 'torsion': [8]}
  • id: 15794789
    {'degree': 8, 'field': [6754801, 0, -431304, 0, 5342, 0, 24, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [2, 8]}
  • id: 15794787
    {'degree': 8, 'field': [43883656, -342944, 356240, -26576, 13249, 44, -10, -4, 1], 'lmfdb_label': '381480.g5', 'torsion': [2, 4]}
  • id: 15794792
    {'degree': 16, 'field': [104966928196, 0, 21857974128, 0, 164085988, 0, -59373216, 0, 2645565, 0, 26028, 0, -1826, 0, 36, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [2, 8]}
  • id: 15794797
    {'degree': 16, 'field': [350277543033, 199175973036, 25137165544, -18912356768, -359215604, 1070914516, 30008464, -45598088, 7889150, 1279796, -274360, 28720, 2620, -308, 64, -8, 1], 'lmfdb_label': '381480.g5', 'torsion': [12]}
  • id: 15794791
    {'degree': 16, 'field': [6979667312836, 0, 479038694256, 0, -10315972700, 0, -478689696, 0, 17761149, 0, 64044, 0, -6050, 0, 36, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [4, 4]}
  • id: 15794795
    {'degree': 16, 'field': [177319398073689, 0, 43104186080352, 0, 3106478049460, 0, 103844672016, 0, 1643326350, 0, 16492544, 0, 118500, 0, 528, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [2, 6]}
  • id: 15794794
    {'degree': 16, 'field': [630887550375625, 0, 104343342585000, 0, 2184864861000, 0, -31767242000, 0, -487788650, 0, 7724600, 0, 21160, 0, -400, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [16]}
  • id: 15794793
    {'degree': 16, 'field': [990493078410000, 0, -21187017720000, 0, 147289428000, 0, 1009800000, 0, -17777700, 0, 180000, 0, 4680, 0, -120, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [16]}
  • id: 15794796
    {'degree': 16, 'field': [2460953961648009, 0, -123182948470416, 0, 239816861476, 0, 32522827488, 0, 227015454, 0, -1702864, 0, -136524, 0, 0, 0, 1], 'lmfdb_label': '381480.g5', 'torsion': [12]}
• 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: 9437003
    {'conductor': 381480, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '381480.g5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9437004
    {'conductor': 381480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '381480.g5', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9437005
    {'conductor': 381480, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '381480.g5', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9437006
    {'conductor': 381480, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '381480.g5', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9437007
    {'conductor': 381480, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '381480.g5', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4035238
    {'adelic_gens': [[15, 2, 44782, 44867], [1, 16, 0, 1], [12248, 1, 36799, 10], [44865, 16, 44864, 17], [16846, 11225, 28005, 22426], [29936, 5, 44835, 44866], [11236, 11221, 22599, 22450], [1, 0, 16, 1], [5, 4, 44876, 44877], [26941, 16, 35648, 44565], [7919, 44864, 18472, 44751]], 'adelic_image': '44880.192.1.?', 'conductor': 381480, 'lmfdb_label': '381480.g5', 'prime': 0}
  • id: 1304860
    {'conductor': 381480, 'elladic_image': '8.12.0.5', 'lmfdb_label': '381480.g5', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 381480.g does not appear in ec_padic