Elliptic curve data - 286650.c1

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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': '286650c', 'Clabel': '286650c1', 'Cnumber': 1, 'abc_quality': 0.8742247956776443, 'absD': 4660879440006562500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -1086192, -422887284], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 286650, 'degree': 8847360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3554457795257841668775441839', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [105756712489, 3478020], 'lmfdb_iso': '286650.c', 'lmfdb_label': '286650.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -99, -374], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '210.6.0.?', '10920.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4678140127934577712914710044', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 31850], [5, 18, 11466], [7, 32, 5850], [13, 14, 22050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.028465604447022481326865527101', 'prec': 107}, 'szpiro_ratio': 4.242248615276739, '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, -6, 0, -1, 0, 0, 1, 2, 0, 2, 0], 'aplist': [-1, 0, 0, 0, -6, -1, 2, 2, -4, -8, -4, -2, 6, -12, 12, -14, 0, 4, -14, -8, 6, -8, -2, -2, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 286650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '286650.c', 'trace_hash': 190628654470419761}
• 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': '0.0089967528692599676052181129236', 'prec': 110}, 'conductor': 286650, 'gens': [[-642, 3408, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4678140127934577712914710044', 'prec': 100}], 'lmfdb_label': '286650.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14818295937238796362338635435', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4800803875839151934966772859089661876', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-516, 258, 1]], 'xcoord_integral_points': [-642, -516, 1759, 1885]}
• lmfdb_label 286650.c1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12178933
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '286650.c1', 'torsion': [2, 2]}
  • id: 12178934
    {'degree': 4, 'field': [329, -30, 31, -2, 1], 'lmfdb_label': '286650.c1', 'torsion': [4]}
  • id: 12178937
    {'degree': 8, 'field': [-319814, 38909, -40838, 3857, -1925, -7, 7, -4, 1], 'lmfdb_label': '286650.c1', 'torsion': [6]}
  • id: 12178936
    {'degree': 8, 'field': [2601, 5814, 4959, 4218, 2818, 134, -19, -2, 1], 'lmfdb_label': '286650.c1', 'torsion': [2, 4]}
  • id: 12178935
    {'degree': 8, 'field': [155236, 0, -9103, 0, -1101, 0, 23, 0, 1], 'lmfdb_label': '286650.c1', 'torsion': [2, 4]}
  • id: 12178939
    {'degree': 16, 'field': [27513984, -35988240, -70227072, -36778380, -20972640, -17746344, -8895356, -1593796, 371790, 172915, -4252, -6633, 377, 175, -45, -4, 1], 'lmfdb_label': '286650.c1', 'torsion': [2, 6]}
  • id: 12178938
    {'degree': 16, 'field': [17894412900, 0, 19699505280, 0, 4983910516, 0, -245163880, 0, 3869381, 0, 674252, 0, 20054, 0, 236, 0, 1], 'lmfdb_label': '286650.c1', '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: 7098903
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '286650.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7098904
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '286650.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7098905
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '286650.c1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7098906
    {'conductor': 286650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '286650.c1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7098907
    {'conductor': 286650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '286650.c1', 'prime': 13, '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: 3470677
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [4682, 1, 3119, 0], [7282, 1, 7279, 0], [1, 0, 4, 1], [5461, 4, 2, 9], [1369, 9556, 6824, 4095], [4201, 4, 8402, 9], [3, 4, 8, 11], [6554, 1, 2183, 0], [10917, 4, 10916, 5]], 'adelic_image': '10920.12.0.?', 'conductor': 286650, 'lmfdb_label': '286650.c1', 'prime': 0}
  • id: 1016611
    {'conductor': 286650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '286650.c1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 286650.c does not appear in ec_padic