Elliptic curve data - 260100.g1

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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': '260100g', 'Clabel': '260100g1', 'Cnumber': 1, 'abc_quality': 1.2015530913851162, 'absD': 4948955944031250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4080, 'ainvs': [0, 0, 0, -867000, -291709375], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 260100, 'degree': 4730880, 'elladic_images': ['8.12.0.32'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3353794489449538530953661059', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [131072, 9], 'lmfdb_iso': '260100.g', 'lmfdb_label': '260100.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, 22], 'min_quad_twist_disc': -255, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.q.1', '10.6.0.a.1', '12.12.0.n.1', '20.12.0.k.1', '24.24.0.dk.1', '40.24.0.cc.1', '60.24.0.u.1', '120.48.1.?', '1360.48.0.?', '4080.96.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0686608619294327501500040286', 'prec': 103}, 'szpiro_ratio': 4.221087454415918, '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, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 0, -4, -4, 0, 0, 0, 4, -6, -4, 8, -10, 4, 4, 12, -4, -2, -4, 0, 8, 12, -4, 10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 260100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '260100.g', 'trace_hash': 413301263529697571}
• 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': '0.0093651596296226576326021432303', 'prec': 110}, 'conductor': 260100, 'gens': [], 'heights': [], 'lmfdb_label': '260100.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15713296263861630029642783288', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.94279777583169780177856699727577659679', 'prec': 133}, 'tamagawa_product': 24, 'torsion_generators': [[-425, 0, 1]], 'xcoord_integral_points': [-425]}
• lmfdb_label 260100.g1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11151947
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '260100.g1', 'torsion': [2, 2]}
  • id: 11151948
    {'degree': 4, 'field': [3126, 252, 4, -2, 1], 'lmfdb_label': '260100.g1', 'torsion': [4]}
  • id: 11151951
    {'degree': 8, 'field': [-397184, -46236, -14651, 6863, 354, -229, 16, -3, 1], 'lmfdb_label': '260100.g1', 'torsion': [6]}
  • id: 11151950
    {'degree': 8, 'field': [130321, -722, -4334, -7226, -5061, 2, 4, -4, 1], 'lmfdb_label': '260100.g1', 'torsion': [2, 4]}
  • id: 11151949
    {'degree': 8, 'field': [10569001, 6502, 2, -13010, 6511, -10, 8, -4, 1], 'lmfdb_label': '260100.g1', 'torsion': [2, 4]}
  • id: 11151954
    {'degree': 16, 'field': [672099156, 3557041752, 2612347304, 153338608, -361515878, 3239484, -17058483, 6235167, 1300231, -183934, -92191, 2265, 3231, 18, -55, -5, 1], 'lmfdb_label': '260100.g1', 'torsion': [2, 6]}
  • id: 11151952
    {'degree': 16, 'field': [16983563041, 94091762, 260642, 377932344, -94217747, -2361674, 4193394, -1575418, 383748, 16604, -11544, 4318, -707, -12, 8, -4, 1], 'lmfdb_label': '260100.g1', 'torsion': [4, 4]}
  • id: 11151953
    {'degree': 16, 'field': [664770249126, -712366767576, 358104687000, -99287204208, 14631328816, -634160216, -118305888, 17379368, -908972, -320888, 113192, 1676, -2474, 88, 0, -4, 1], 'lmfdb_label': '260100.g1', 'torsion': [8]}
• 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: 6447315
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '260100.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6447316
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '260100.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6447317
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '260100.g1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6447318
    {'conductor': 260100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '260100.g1', 'prime': 17, '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: 3311967
    {'adelic_gens': [[4065, 16, 4064, 17], [1716, 2873, 1207, 4028], [11, 8, 3952, 3987], [1, 16, 0, 1], [13, 8, 8, 5], [11, 12, 3980, 3971], [3061, 2176, 0, 1], [3839, 0, 0, 4079], [1, 0, 16, 1], [2719, 1190, 3026, 339], [2551, 2890, 374, 3741]], 'adelic_image': '4080.96.1.?', 'conductor': 260100, 'lmfdb_label': '260100.g1', 'prime': 0}
  • id: 934172
    {'conductor': 260100, 'elladic_image': '8.12.0.32', 'lmfdb_label': '260100.g1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 260100.g does not appear in ec_padic