Elliptic curve data - 410958.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': '410958m', 'Clabel': '410958m2', 'Cnumber': 2, 'abc_quality': 1.1185079752863947, 'absD': 21714943867941962500743168, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10744, 'ainvs': [1, -1, 0, -92607792, 259631758592], 'analytic_rank': 0, 'bad_primes': [2, 3, 17, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 410958, 'degree': 80510976, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5720453661198800140009025086', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [4991662883279390625, 1234063918112768], 'lmfdb_iso': '410958.m', 'lmfdb_label': '410958.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -35605, -1948179], 'min_quad_twist_disc': -51, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '5372.6.0.?', '10744.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2601], [3, 6, 45662], [13, 2, 205479], [17, 162, 1422], [79, 80, 5202]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6061325497577171281785125812', 'prec': 100}, 'szpiro_ratio': 5.155808811680358, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 0, 1, 0, 0, 0, -1, 0, 0, -2, 0, -2, 0, 0, 1, 0, 0, 0, 0], 'aplist': [-1, 0, 0, 0, -2, -2, 0, 0, 4, -6, -8, -2, -10, -2, 12, 12, 10, -6, 4, 0, 6, -1, -8, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 410958, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '410958.m', 'trace_hash': 868548196746683055}
• 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': '0.00078951578386452646585817777364', 'prec': 113}, 'conductor': 410958, 'gens': [], 'heights': [], 'lmfdb_label': '410958.m1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.063738105954961602248391209295', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.25495242381984640899356483717816434017', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[12547, -12547, 2]], 'xcoord_integral_points': []}
• lmfdb_label 410958.m1 does not appear in ec_iwasawa
• lmfdb_label 410958.m1 does not appear in ec_torsion_growth
• 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: 10157616
    {'conductor': 410958, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '410958.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10157617
    {'conductor': 410958, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '410958.m1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10157618
    {'conductor': 410958, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '410958.m1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10157619
    {'conductor': 410958, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '410958.m1', 'prime': 79, 'reduction_type': -1, '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: 4207879
    {'adelic_gens': [[1, 2, 2, 5], [7585, 4, 4426, 9], [1, 4, 0, 1], [5849, 4, 954, 9], [1345, 9402, 9400, 1343], [10741, 4, 10740, 5], [1, 0, 4, 1], [2, 1, 5371, 0], [3, 4, 8, 11]], 'adelic_image': '10744.12.0.?', 'conductor': 410958, 'lmfdb_label': '410958.m1', 'prime': 0}
  • id: 1391174
    {'conductor': 410958, 'elladic_image': '8.6.0.6', 'lmfdb_label': '410958.m1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 410958.m does not appear in ec_padic