Elliptic curve data - 213444.ea1

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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': '213444eh', 'Clabel': '213444eh1', 'Cnumber': 1, 'abc_quality': 0.7987144764526964, 'absD': 339715140512744304, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 462, 'ainvs': [0, 0, 0, -409101, 104546057], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 213444, 'degree': 3317760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1284051382565862965932913502', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 104, 'isogeny_degrees': [1, 3], 'jinv': [-84098304, 3773], 'lmfdb_iso': '213444.ea', 'lmfdb_label': '213444.ea1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -69, 229], 'min_quad_twist_disc': 77, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '231.8.0.?', '462.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.54919970502393148731157882689', 'prec': 107}, 'szpiro_ratio': 4.111554760766571, '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, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 3, 0, 0, 5, -6, -1, 0, -9, -8, -7, -6, 10, 3, -6, -9, 2, -13, -6, 11, 10, 6, 6, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 213444, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '213444.ea', 'trace_hash': 164577570119264107}
• 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': '0.014167420568820977477496200251', 'prec': 107}, 'conductor': 213444, 'gens': [], 'heights': [], 'lmfdb_label': '213444.ea1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30098583901534663618784236001', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4078867121227730895027388800754420445', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 213444.ea1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9321257
    {'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '213444.ea1', 'torsion': [3]}
  • id: 9321258
    {'degree': 3, 'field': [3, 0, -1, 1], 'lmfdb_label': '213444.ea1', 'torsion': [2]}
  • id: 9321261
    {'degree': 6, 'field': [1, 0, 0, -9, 0, 0, 1], 'lmfdb_label': '213444.ea1', 'torsion': [6]}
  • id: 9321259
    {'degree': 6, 'field': [81, 27, 42, 15, 4, -2, 1], 'lmfdb_label': '213444.ea1', 'torsion': [2, 2]}
  • id: 9321260
    {'degree': 6, 'field': [90112, 0, 0, -572, 0, 0, 1], 'lmfdb_label': '213444.ea1', 'torsion': [3]}
  • id: 9321264
    {'degree': 12, 'field': [49, 98, 259, 0, 193, 46, 43, 22, 22, -12, 11, -3, 1], 'lmfdb_label': '213444.ea1', 'torsion': [2, 6]}
  • id: 9321262
    {'degree': 12, 'field': [14641, 0, -39930, 44770, -21582, 7722, -4818, 2574, -711, 100, 18, -6, 1], 'lmfdb_label': '213444.ea1', 'torsion': [4]}
  • id: 9321263
    {'degree': 12, 'field': [19439281, 0, -3593562, 0, 146895, 0, -2284, 0, 735, 0, -42, 0, 1], 'lmfdb_label': '213444.ea1', 'torsion': [3, 3]}
  • id: 9321265
    {'degree': 18, 'field': [-15386474025, -4113542745, 33270201711, 27556286436, 2079083943, -3737889747, -810050823, 138014127, 63529290, 8515182, 201717, -45981, 55449, 17217, 3159, 75, -117, -6, 1], 'lmfdb_label': '213444.ea1', 'torsion': [9]}
  • id: 9321266
    {'degree': 18, 'field': [149769, 285606, 1373355, 689202, 2154303, -762930, 5339796, 2082978, 554070, 645744, 246147, 14112, -2525, -246, 207, -46, -24, 0, 1], 'lmfdb_label': '213444.ea1', 'torsion': [2, 6]}
• 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: 5293097
    {'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '213444.ea1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5293098
    {'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '213444.ea1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5293099
    {'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '213444.ea1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5293100
    {'conductor': 213444, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '213444.ea1', 'prime': 11, '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: 3029373
    {'adelic_gens': [[4, 3, 9, 7], [78, 391, 157, 96], [251, 456, 291, 443], [457, 6, 456, 7], [1, 6, 0, 1], [3, 4, 8, 11], [263, 456, 327, 443], [1, 0, 6, 1]], 'adelic_image': '462.16.0.?', 'conductor': 213444, 'lmfdb_label': '213444.ea1', 'prime': 0}
  • id: 786512
    {'conductor': 213444, 'elladic_image': '3.4.0.1', 'lmfdb_label': '213444.ea1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 213444.ea does not appear in ec_padic