Elliptic curve data - 382360.u1

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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': '382360u', 'Clabel': '382360u1', 'Cnumber': 1, 'abc_quality': 0.7764387154516914, 'absD': 197054273152000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 17380, 'ainvs': [0, -1, 0, 14480, 75132], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 382360, 'degree': 1105920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4322690636803435746617094012', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [185073116, 108625], 'lmfdb_iso': '382360.u', 'lmfdb_label': '382360.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 120, -100], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['17380.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6166575967086576697421525194', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 47795], [3, 2, 76472], [5, 6, 76472], [11, 72, 3160], [79, 80, 4840]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34430122318546278855028915567', 'prec': 107}, 'szpiro_ratio': 3.1394690349861376, '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, 0, 2, 0, 1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 2, 0, -2, 0, 7, 0], 'aplist': [0, 2, 1, -1, 0, -1, -2, 7, 1, 5, -6, 6, -3, -4, 12, -1, -12, 10, -4, -3, 13, 1, 0, -5, 6], 'class_deg': 1, 'class_size': 1, 'conductor': 382360, 'isogeny_matrix': [[1]], 'lmfdb_iso': '382360.u', 'trace_hash': 250076203007327772}
• 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': '0.057009456160143428784175391913', 'prec': 107}, 'conductor': 382360, 'gens': [[774, 21780, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6166575967086576697421525194', 'prec': 100}], 'lmfdb_label': '382360.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.34299803353404629224197359182', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.308249037654724403336009829773371749', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [774]}
• lmfdb_label 382360.u1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15829909
    {'degree': 3, 'field': [122, 12, -1, 1], 'lmfdb_label': '382360.u1', 'torsion': [2]}
  • id: 15829910
    {'degree': 6, 'field': [3600, -600, 4250, 130, -9, -2, 1], 'lmfdb_label': '382360.u1', 'torsion': [2, 2]}
  • id: 15829911
    {'degree': 8, 'field': [-181720, -24552, 10552, -6616, -1260, 540, 58, -4, 1], 'lmfdb_label': '382360.u1', 'torsion': [3]}
  • id: 15829912
    {'degree': 12, 'field': [85166080, 80889856, -90948736, 34724736, -8988832, 1410624, 76888, -40000, -416, 1012, -84, -4, 1], 'lmfdb_label': '382360.u1', '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: 9460173
    {'conductor': 382360, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '382360.u1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9460174
    {'conductor': 382360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '382360.u1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 9460175
    {'conductor': 382360, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '382360.u1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9460176
    {'conductor': 382360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '382360.u1', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• 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': [[12641, 2, 12641, 3], [8691, 2, 8691, 3], [11221, 2, 11221, 3], [17379, 2, 17378, 3], [1, 1, 17379, 0], [3477, 2, 3477, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '17380.2.0.?', 'conductor': 382360, 'lmfdb_label': '382360.u1', 'prime': 0}
• lmfdb_iso 382360.u does not appear in ec_padic