Elliptic curve data - 177450.h1

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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': '177450ic', 'Clabel': '177450ic1', 'Cnumber': 1, 'abc_quality': 0.9343068195578708, 'absD': 1070847852867906750, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 120, 'ainvs': [1, 1, 0, -146695, -54342725], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 177450, 'degree': 2935296, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1462644180504508850407218939', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [-3423871373, 10501974], 'lmfdb_iso': '177450.h', 'lmfdb_label': '177450.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -868, -25069], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['120.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2535], [3, 4, 59150], [5, 10, 7098], [7, 8, 8450], [13, 74, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033938701634234634021540432886', 'prec': 107}, 'szpiro_ratio': 4.065921846399626, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, -1, 1, 0, 1, -1, -1, 1, 0, -3, -1, 0, 1, 0, 1, -2, -1, 0, 0], 'aplist': [-1, -1, 0, -1, -3, 0, -2, 0, -1, 3, 9, 9, 0, 7, -7, 6, -9, -8, 4, 8, 12, -3, -8, 8, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 177450, 'isogeny_matrix': [[1]], 'lmfdb_iso': '177450.h', 'trace_hash': 1350813115881730844}
• 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': '0.013670311572177990514383776089', 'prec': 107}, 'conductor': 177450, 'gens': [], 'heights': [], 'lmfdb_label': '177450.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11264051104242215625702571247', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3516861325090658750843085496924976983', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 177450.h1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7861045
    {'degree': 3, 'field': [51, 9, -1, 1], 'lmfdb_label': '177450.h1', 'torsion': [2]}
  • id: 7861046
    {'degree': 6, 'field': [4896, -4272, 1618, -224, 3, -2, 1], 'lmfdb_label': '177450.h1', 'torsion': [2, 2]}
  • id: 7861047
    {'degree': 8, 'field': [-29124, 46071, 1764, 8547, -1551, 429, 1, -2, 1], 'lmfdb_label': '177450.h1', 'torsion': [3]}
  • id: 7861048
    {'degree': 12, 'field': [-3888000, 0, -5928000, 0, 244000, 0, -57200, 0, 2850, 0, -65, 0, 1], 'lmfdb_label': '177450.h1', 'torsion': [4]}
• 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: 4391037
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '177450.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4391038
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '177450.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4391039
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '177450.h1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4391040
    {'conductor': 177450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '177450.h1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4391041
    {'conductor': 177450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '177450.h1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  {'adelic_gens': [[31, 2, 0, 1], [1, 0, 2, 1], [119, 2, 118, 3], [61, 2, 61, 3], [1, 2, 0, 1], [1, 1, 119, 0], [97, 2, 97, 3], [41, 2, 41, 3]], 'adelic_image': '120.2.0.?', 'conductor': 177450, 'lmfdb_label': '177450.h1', 'prime': 0}
• lmfdb_iso 177450.h does not appear in ec_padic