Elliptic curve data - 132600.cg1

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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': '132600br', 'Clabel': '132600br1', 'Cnumber': 1, 'abc_quality': 0.7976428649162433, 'absD': 358020000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, -8908, -325312], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 132600, 'degree': 172032, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0678560833461567272163540850', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2], 'jinv': [19545784144, 89505], 'lmfdb_iso': '132600.cg', 'lmfdb_label': '132600.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -356, -2460], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '120.12.0.?', '2210.6.0.?', '4420.24.0.?', '5304.12.0.?', '26520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5314295698255265003449335648', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19896099324419033302884699592', 'prec': 107}, 'szpiro_ratio': 3.297797863548906, '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, 1, 0, 0, 0, 2, 0, 1, 0, 4, 0, -1, 0, 0, 0, 1, 0, -2, 0], 'aplist': [0, 1, 0, 2, 4, -1, 1, -2, 0, 2, 0, 2, 2, -6, 12, -10, 6, -10, 4, 0, -10, 6, 4, -18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 132600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '132600.cg', 'trace_hash': 1470128832418561125}
• 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': '0.11816041049643422737501285759', 'prec': 103}, 'conductor': 132600, 'gens': [[2032, 82000, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5314295698255265003449335648', 'prec': 100}], 'lmfdb_label': '132600.cg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49155272929833681922373763650', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.875957207877050834912985898580993635', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-52, 0, 1]], 'xcoord_integral_points': [-52]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [4, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '132600.cg1'}
• ec_torsion_growth •

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

  
  
  • id: 6017265
    {'degree': 2, 'field': [-276, -1, 1], 'lmfdb_label': '132600.cg1', 'torsion': [2, 2]}
  • id: 6017266
    {'degree': 4, 'field': [68, 4, -3, -2, 1], 'lmfdb_label': '132600.cg1', 'torsion': [4]}
  • id: 6017269
    {'degree': 8, 'field': [-2430000, 0, 558000, 0, 5400, 0, 0, 0, 1], 'lmfdb_label': '132600.cg1', 'torsion': [6]}
  • id: 6017267
    {'degree': 8, 'field': [1296, -2232, 1922, -1942, 913, 54, 8, -4, 1], 'lmfdb_label': '132600.cg1', 'torsion': [2, 4]}
  • id: 6017268
    {'degree': 8, 'field': [1083681, 0, -143488, 0, -7351, 0, -32, 0, 1], 'lmfdb_label': '132600.cg1', 'torsion': [2, 4]}
  • id: 6017271
    {'degree': 16, 'field': [1340300507344, 849284371136, 159031743872, 5435940736, -2369246008, -553386176, -216374304, -29708400, 10314829, 173940, 222000, 1756, 62, -716, 32, -4, 1], 'lmfdb_label': '132600.cg1', 'torsion': [8]}
  • id: 6017270
    {'degree': 16, 'field': [10457867707641, 227287984266, 183869261062, 68660180718, 5977889072, 419906376, 469551952, -18562986, 33889505, -355824, 65624, -16602, -6608, -18, 2, 0, 1], 'lmfdb_label': '132600.cg1', 'torsion': [4, 4]}
  • id: 6017272
    {'degree': 16, 'field': [6233213030490000, 0, -695652726060000, 0, 15552485708400, 0, 2476558800, 0, 198628200, 0, 4935240, 0, -29160, 0, 0, 0, 1], 'lmfdb_label': '132600.cg1', '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: 3270702
    {'conductor': 132600, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '132600.cg1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3270703
    {'conductor': 132600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '132600.cg1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3270704
    {'conductor': 132600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '132600.cg1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3270705
    {'conductor': 132600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '132600.cg1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3270706
    {'conductor': 132600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '132600.cg1', 'prime': 17, 'reduction_type': 1, '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: 2527138
    {'adelic_gens': [[15904, 26517, 26515, 26518], [26513, 8, 26512, 9], [14286, 1, 6143, 4], [1, 0, 8, 1], [13261, 8, 4, 33], [1, 8, 0, 1], [1, 4, 4, 17], [6631, 8, 13260, 1], [17681, 8, 17684, 33], [3, 8, 28, 75], [5, 8, 48, 77], [20288, 3, 9365, 2]], 'adelic_image': '26520.48.0.?', 'conductor': 132600, 'lmfdb_label': '132600.cg1', 'prime': 0}
  • id: 515221
    {'conductor': 132600, 'elladic_image': '4.6.0.3', 'lmfdb_label': '132600.cg1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 132600.cg does not appear in ec_padic