Elliptic curve data - 283920.hh1

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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': '283920hh', 'Clabel': '283920hh3', 'Cnumber': 3, 'abc_quality': 0.936065372896473, 'absD': 13884750887454720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -4221000, 3336471828], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 283920, 'degree': 6881280, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3596491749967976167050488011', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 189, 'isogeny_degrees': [1, 2, 4], 'jinv': [841356017734178, 1404585], 'lmfdb_iso': '283920.hh', 'lmfdb_label': '283920.hh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24976, -1510964], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '56.12.0.y.1', '104.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3599093775244494056720121700', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 845], [3, 4, 94640], [5, 6, 56784], [7, 8, 40560], [13, 98, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44178958075274604837917563565', 'prec': 103}, 'szpiro_ratio': 4.569791721020931, '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, -1, 0, 1, 0, 4, 0, 0, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, 1, 1, -1, 4, 0, 6, -4, -4, -10, 8, -6, 2, 4, 0, 2, -4, 10, 4, 12, -10, 0, -16, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 283920, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '283920.hh', 'trace_hash': 208321413589695234}
• 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': '0.0089214360785664676921031616166', 'prec': 110}, 'conductor': 283920, 'gens': [[2708, 108498, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3599093775244494056720121700', 'prec': 100}], 'lmfdb_label': '283920.hh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33880437354864920600194083182', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.817250923048417530225071918323029871', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1187, 0, 1]], 'xcoord_integral_points': [1187, 2708]}
• lmfdb_label 283920.hh1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12078112
    {'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [2, 2]}
  • id: 12078113
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [4]}
  • id: 12078114
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '283920.hh1', 'torsion': [4]}
  • id: 12078115
    {'degree': 4, 'field': [599, 54, -53, -2, 1], 'lmfdb_label': '283920.hh1', 'torsion': [2, 4]}
  • id: 12078119
    {'degree': 8, 'field': [-12497043, 0, -738088, 0, -12246, 0, 0, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [6]}
  • id: 12078117
    {'degree': 8, 'field': [164817, -221256, -142920, 11088, 9382, -168, -184, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [8]}
  • id: 12078118
    {'degree': 8, 'field': [1152971, 141574, -134938, -13138, 6235, 398, -128, -4, 1], 'lmfdb_label': '283920.hh1', 'torsion': [8]}
  • id: 12078116
    {'degree': 8, 'field': [1311025, 0, 70700, 0, -2190, 0, 20, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [2, 4]}
  • id: 12078122
    {'degree': 16, 'field': [1607609025, 0, -8342442720, 0, 4449244464, 0, -774750096, 0, 59709474, 0, -2214432, 0, 40176, 0, -336, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [2, 8]}
  • id: 12078124
    {'degree': 16, 'field': [2061614025, 0, -950656500, 0, 95615100, 0, 6843844, 0, -899458, 0, -30716, 0, 1036, 0, -52, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [12]}
  • id: 12078121
    {'degree': 16, 'field': [18932139801, -8223426576, 9905983058, -3567952252, 2307026156, -672895016, 301411630, -69578036, 21830769, -3091032, 753810, -76628, 15016, -1064, 172, -8, 1], 'lmfdb_label': '283920.hh1', 'torsion': [2, 8]}
  • id: 12078120
    {'degree': 16, 'field': [1851534425521, 0, 57658292652, 0, -6113252282, 0, -82077696, 0, 8211255, 0, 14184, 0, -4622, 0, 12, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [4, 4]}
  • id: 12078123
    {'degree': 16, 'field': [4183252090000, 0, -92038379648000, 0, -342230734400, 0, 11459690800, 0, 82647400, 0, 3539200, 0, 14260, 0, -260, 0, 1], 'lmfdb_label': '283920.hh1', 'torsion': [2, 6]}
  • id: 12078125
    {'degree': 16, 'field': [13213092578401, 2369468588768, -2207633755840, -318672291600, 146895313430, 14781124744, -4678843928, -216178440, 58242475, -2644320, 374512, 84296, -14110, 0, 20, -8, 1], 'lmfdb_label': '283920.hh1', '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: 7033558
    {'conductor': 283920, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '283920.hh1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 7033559
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '283920.hh1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7033560
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '283920.hh1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7033561
    {'conductor': 283920, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '283920.hh1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7033562
    {'conductor': 283920, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '283920.hh1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3454738
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3181, 3184, 1342, 3179], [2188, 1, 751, 6], [456, 2283, 1369, 1398], [7, 6, 3634, 3635], [521, 8, 2084, 33], [1396, 3639, 1657, 3634], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 283920, 'lmfdb_label': '283920.hh1', 'prime': 0}
  • id: 1008591
    {'conductor': 283920, 'elladic_image': '4.6.0.1', 'lmfdb_label': '283920.hh1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 283920.hh does not appear in ec_padic