Elliptic curve data - 255162.m1

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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': '255162m', 'Clabel': '255162m1', 'Cnumber': 1, 'abc_quality': 1.036561865231578, 'absD': 621303668073311594323968, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 7912, 'ainvs': [1, 0, 1, -660132, 37924152994], 'analytic_rank': 1, 'bad_primes': [2, 3, 23, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 255162, 'degree': 41513472, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2444097576514437028263232185', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-5032738790353, 98286344773632], 'lmfdb_iso': '255162.m', 'lmfdb_label': '255162.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -357, -477141], 'min_quad_twist_disc': -43, 'modell_images': [], 'modm_images': ['7912.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.80686179043048135478666209515', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 42527], [3, 4, 85054], [13, 2, 127581], [23, 24, 11094], [43, 968, 138]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3638096998046624910899019618', 'prec': 100}, 'szpiro_ratio': 4.999404554728405, '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, -2, -1, 0, -1, 1, 2, -6, 1, -2, 0, -2, 1, -4, -1, -7, -2], 'aplist': [-1, 1, -2, 0, -6, -2, -4, -7, -1, -1, -2, -8, -5, 0, 2, -1, -7, -2, -10, 15, -6, 5, -16, 6, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 255162, 'isogeny_matrix': [[1]], 'lmfdb_iso': '255162.m', 'trace_hash': 914186293340714222}
• 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': '0.0015203426904327171093146606494', 'prec': 110}, 'conductor': 255162, 'gens': [[10388, 1068150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.80686179043048135478666209515', 'prec': 103}], 'lmfdb_label': '255162.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.073007841565346025338537684156', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8850316083481603366764163166481901202', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [], 'xcoord_integral_points': [1874, 10388]}
• lmfdb_label 255162.m1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10960915
    {'degree': 3, 'field': [-32, 10, 0, 1], 'lmfdb_label': '255162.m1', 'torsion': [2]}
  • id: 10960916
    {'degree': 6, 'field': [31648, 0, 900, 0, 60, 0, 1], 'lmfdb_label': '255162.m1', 'torsion': [2, 2]}
  • id: 10960917
    {'degree': 8, 'field': [-72328, 9578, -91447, 42606, -7113, 966, -17, -2, 1], 'lmfdb_label': '255162.m1', 'torsion': [3]}
  • id: 10960918
    {'degree': 12, 'field': [99590, -131468, -286491, -259796, -101045, -13112, 5243, 3344, 679, -96, -39, -4, 1], 'lmfdb_label': '255162.m1', '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: 6326130
    {'conductor': 255162, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '255162.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6326131
    {'conductor': 255162, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '255162.m1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6326132
    {'conductor': 255162, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '255162.m1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6326133
    {'conductor': 255162, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '255162.m1', 'prime': 43, 'reduction_type': 0, '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

  
  {'adelic_gens': [[5935, 2, 5935, 3], [1, 1, 7911, 0], [3957, 2, 3957, 3], [7911, 2, 7910, 3], [6537, 2, 6537, 3], [1, 0, 2, 1], [1, 2, 0, 1], [6625, 2, 6625, 3]], 'adelic_image': '7912.2.0.?', 'conductor': 255162, 'lmfdb_label': '255162.m1', 'prime': 0}
• lmfdb_iso 255162.m does not appear in ec_padic