Elliptic curve data - 152880.ih4

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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': '152880bi', 'Clabel': '152880bi3', 'Cnumber': 3, 'abc_quality': 1.0927873585724972, 'absD': 892626534475275828308949872640000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, 27523367800, 45422209107183348], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 152880, 'degree': 1981808640, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.5774021507844192126649246556', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 215, 'isogeny_degrees': [1, 2, 4], 'jinv': [4784981304203817469820354951, 1852343836482910078035000000], 'lmfdb_iso': '152880.ih', 'lmfdb_label': '152880.ih4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 35106336, 2069162907886], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '70.6.0.a.1', '140.24.0.?', '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': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.9112998956968172506950161624', 'prec': 100}, 'szpiro_ratio': 7.558818119745368, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 4, 0, 1, 0, 1, 0, 2, 0, 8, 0], 'aplist': [0, 1, 1, 0, 4, 1, 2, 8, 4, -2, 4, 2, -6, 8, 8, 6, 0, -6, -4, -8, -6, 8, 12, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 152880, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '152880.ih', 'trace_hash': 1389892155212753700}
• 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': '0.000014306389510604960822741231825', 'prec': 117}, 'conductor': 152880, 'gens': [], 'heights': [], 'lmfdb_label': '152880.ih4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0068855292971635129563228124979', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1694342502585076088652399981303424231', 'prec': 130}, 'tamagawa_product': 14336, 'torsion_generators': [[265918, 267478848, 1]], 'xcoord_integral_points': [-331133, 265918]}
• lmfdb_label 152880.ih4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6862046
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '152880.ih4', 'torsion': [2, 4]}
  • id: 6862047
    {'degree': 4, 'field': [1278, -256, -16, -2, 1], 'lmfdb_label': '152880.ih4', 'torsion': [8]}
  • id: 6862051
    {'degree': 8, 'field': [-47628, 0, 12033, 0, -756, 0, 0, 0, 1], 'lmfdb_label': '152880.ih4', 'torsion': [12]}
  • id: 6862048
    {'degree': 8, 'field': [1156, 0, 424, 0, -64, 0, 4, 0, 1], 'lmfdb_label': '152880.ih4', 'torsion': [4, 4]}
  • id: 6862050
    {'degree': 8, 'field': [47349, -30726, 34078, -6826, 3719, -370, 128, -4, 1], 'lmfdb_label': '152880.ih4', 'torsion': [2, 8]}
  • id: 6862049
    {'degree': 8, 'field': [126441, -66906, -6597, 270, 1846, 250, -43, -2, 1], 'lmfdb_label': '152880.ih4', 'torsion': [2, 8]}
  • id: 6862053
    {'degree': 16, 'field': [15116544, 0, 34992, 0, -1585575, 0, 1944, 0, 40560, 0, 26, 0, 408, 0, 0, 0, 1], 'lmfdb_label': '152880.ih4', 'torsion': [2, 12]}
  • id: 6862052
    {'degree': 16, 'field': [12859560000, 0, 15022224000, 0, 3984131200, 0, 377025600, 0, 6301925, 0, -399630, 0, 6692, 0, -126, 0, 1], 'lmfdb_label': '152880.ih4', 'torsion': [16]}
• 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: 3779991
    {'conductor': 152880, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '152880.ih4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3779992
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 32, 'j_denominator_valuation': 32, 'kodaira_symbol': 36, 'lmfdb_label': '152880.ih4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 32}
  • id: 3779993
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '152880.ih4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 3779994
    {'conductor': 152880, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '152880.ih4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3779995
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '152880.ih4', 'prime': 13, 'reduction_type': 1, '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: 2655042
    {'adelic_gens': [[1556, 3639, 2577, 3634], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [736, 3, 5, 2], [7, 6, 3634, 3635], [561, 8, 2244, 33], [1357, 1364, 1318, 3179], [459, 458, 1378, 3195], [3633, 8, 3632, 9]], 'adelic_image': '3640.48.0.?', 'conductor': 152880, 'lmfdb_label': '152880.ih4', 'prime': 0}
  • id: 585615
    {'conductor': 152880, 'elladic_image': '4.12.0.7', 'lmfdb_label': '152880.ih4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 152880.ih does not appear in ec_padic