Elliptic curve data - 266175.d2

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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': '266175d', 'Clabel': '266175d1', 'Cnumber': 1, 'abc_quality': 0.9802957926219806, 'absD': 3078900790875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 2730, 'ainvs': [0, 0, 1, 2535, 68656], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 266175, 'degree': 561600, 'elladic_images': ['5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0812546606992895183561084807', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 5], 'jinv': [4096, 7], 'lmfdb_iso': '266175.d', 'lmfdb_label': '266175.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 2, -2], 'min_quad_twist_disc': -39, 'modell_images': ['5B.4.2'], 'modm_images': ['5.12.0.a.2', '70.24.1.d.2', '195.24.0.?', '2730.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6326307498964558342514847297', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 53235], [3, 6, 29575], [7, 8, 38025], [13, 86, 1575]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1528856404740587890184476918', 'prec': 103}, 'szpiro_ratio': 2.865605222705938, '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, -2, 0, 2, 0, 0, -1, 0, 0, 0, -3, 0, 0, 2, 0, -4, 7, 0, 0, 0], 'aplist': [-2, 0, 0, -1, -3, 0, 7, 0, 6, 5, -2, 2, 2, 4, 3, 6, 10, -8, 2, -8, 6, -5, 4, 0, 7], 'class_deg': 5, 'class_size': 2, 'conductor': 266175, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '266175.d', 'trace_hash': 227871728656706048}
• 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': '0.11503609602403269899635949999', 'prec': 103}, 'conductor': 266175, 'gens': [[35, 447, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6326307498964558342514847297', 'prec': 100}], 'lmfdb_label': '266175.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54745251827792685431769077626', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9773857040092972459064040781127967229', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [35]}
• lmfdb_label 266175.d2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11388912
    {'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '266175.d2', 'torsion': [2]}
  • id: 11388913
    {'degree': 4, 'field': [451, 49, -49, -1, 1], 'lmfdb_label': '266175.d2', 'torsion': [5]}
  • id: 11388914
    {'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '266175.d2', 'torsion': [2, 2]}
  • id: 11388915
    {'degree': 8, 'field': [-5269, -7576, 5770, -2339, 109, 101, -25, -1, 1], 'lmfdb_label': '266175.d2', 'torsion': [3]}
  • id: 11388916
    {'degree': 10, 'field': [96892, -44365, 62030, -22330, 13015, -3187, 1305, -210, 60, -5, 1], 'lmfdb_label': '266175.d2', 'torsion': [5]}
  • id: 11388917
    {'degree': 12, 'field': [-16828207289, -6602604024, -1488380860, -96471374, -11723067, -2429124, -793760, 4080, -17043, 412, -4, -2, 1], 'lmfdb_label': '266175.d2', 'torsion': [4]}
  • id: 11388918
    {'degree': 12, 'field': [137425051, 10077146, -36046136, -2903117, 3984131, 290968, -237291, -14006, 7849, 325, -137, -3, 1], 'lmfdb_label': '266175.d2', 'torsion': [10]}
• 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: 6596882
    {'conductor': 266175, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '266175.d2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6596883
    {'conductor': 266175, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '266175.d2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6596884
    {'conductor': 266175, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '266175.d2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6596885
    {'conductor': 266175, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '266175.d2', 'prime': 13, 'reduction_type': 0, '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

  
  
  • id: 3348165
    {'adelic_gens': [[1259, 0, 0, 2729], [352, 1755, 975, 2536], [2146, 1755, 195, 976], [1, 0, 10, 1], [1819, 0, 0, 2729], [6, 13, 2675, 2611], [2721, 10, 2720, 11], [1, 10, 0, 1]], 'adelic_image': '2730.48.1.?', 'conductor': 266175, 'lmfdb_label': '266175.d2', 'prime': 0}
  • id: 953184
    {'conductor': 266175, 'elladic_image': '5.12.0.2', 'lmfdb_label': '266175.d2', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 266175.d does not appear in ec_padic