Elliptic curve data - 283302.r1

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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': '283302r', 'Clabel': '283302r1', 'Cnumber': 1, 'abc_quality': 0.7115432579267876, 'absD': 45894924, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 31478, 'ainvs': [1, -1, 1, -41, -331], 'analytic_rank': 1, 'bad_primes': [2, 3, 15739], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 283302, 'degree': 132864, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.15379421082978645251331778355', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1], 'jinv': [-10218313, 62956], 'lmfdb_iso': '283302.r', 'lmfdb_label': '283302.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5, 12], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['31478.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5840261435467166526268457213', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39551193350426839318430483491', 'prec': 107}, 'szpiro_ratio': 2.0061989331188133, '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, 0, 1, 3, 0, -4, 1, 0, 3, 2, 0, -1, -4, 0, 1, 6, 0, -4, 3], 'aplist': [1, 0, 3, -4, 2, -1, 6, -4, 9, 6, -11, -8, 6, 0, 13, 4, -10, -2, 3, 6, 2, -8, -12, 4, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 283302, 'isogeny_matrix': [[1]], 'lmfdb_iso': '283302.r', 'trace_hash': 2045212925337240310}
• 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': '0.73521785549067590960524672292', 'prec': 103}, 'conductor': 283302, 'gens': [[79, 551, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5840261435467166526268457213', 'prec': 100}], 'lmfdb_label': '283302.r1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.84433963717338130011054405490', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.481899883342116174118636777743635987', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 283302.r1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12053727
    {'degree': 3, 'field': [32, -11, -1, 1], 'lmfdb_label': '283302.r1', 'torsion': [2]}
  • id: 12053728
    {'degree': 6, 'field': [15739, 0, 1156, 0, -68, 0, 1], 'lmfdb_label': '283302.r1', 'torsion': [2, 2]}
  • id: 12053729
    {'degree': 8, 'field': [-139968, 0, 11888, 0, -1296, 0, 0, 0, 1], 'lmfdb_label': '283302.r1', 'torsion': [3]}
  • id: 12053730
    {'degree': 12, 'field': [-105956784, -35479656, -4375479, 4390296, -173741, 542664, -291851, 39600, -4035, -48, 67, 0, 1], 'lmfdb_label': '283302.r1', '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: 7018219
    {'conductor': 283302, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '283302.r1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7018220
    {'conductor': 283302, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '283302.r1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7018221
    {'conductor': 283302, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '283302.r1', 'prime': 15739, '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

  
  {'adelic_gens': [[15741, 2, 15741, 3], [1, 1, 31477, 0], [1, 0, 2, 1], [1, 2, 0, 1], [31477, 2, 31476, 3]], 'adelic_image': '31478.2.0.?', 'conductor': 283302, 'lmfdb_label': '283302.r1', 'prime': 0}
• lmfdb_iso 283302.r does not appear in ec_padic