Elliptic curve data - 284592.cu1

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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': '284592cu', 'Clabel': '284592cu2', 'Cnumber': 2, 'abc_quality': 0.9492313462545714, 'absD': 5929573361676991488, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, -1, 0, -760888, -226761632], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 284592, 'degree': 5160960, 'elladic_images': ['4.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3325950919424081903710505108', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2], 'jinv': [665500, 81], 'lmfdb_iso': '284592.cu', 'lmfdb_label': '284592.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -128, 540], 'min_quad_twist_disc': -308, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '24.24.0.dr.1', '28.24.0.i.1', '168.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9130315047965059050213950332', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90340780671488315166996260365', 'prec': 107}, 'szpiro_ratio': 4.159655332483297, '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, 0, 0, 1, 0, 0, 0, -4, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, -1, 0, 0, 0, -4, -4, -4, -4, -2, -8, -6, -12, 4, 8, 6, -12, -4, 4, 12, -8, -16, -4, 4, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 284592, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '284592.cu', 'trace_hash': 1501344591162960647}
• 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': '0.0094174570046267884969172301478', 'prec': 110}, 'conductor': 284592, 'gens': [[3997, 246114, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.9130315047965059050213950332', 'prec': 100}], 'lmfdb_label': '284592.cu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16293640060388110167080048172', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2020466777800491296111707867599298885', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-359, 0, 1]], 'xcoord_integral_points': [-359, 3997]}
• lmfdb_label 284592.cu1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12103345
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '284592.cu1', 'torsion': [2, 2]}
  • id: 12103347
    {'degree': 4, 'field': [-171, -74, -2, -2, 1], 'lmfdb_label': '284592.cu1', 'torsion': [2, 4]}
  • id: 12103346
    {'degree': 4, 'field': [212, 38, -18, -1, 1], 'lmfdb_label': '284592.cu1', 'torsion': [4]}
  • id: 12103349
    {'degree': 8, 'field': [-137994, -63840, -33778, -10584, -1920, -238, -12, 0, 1], 'lmfdb_label': '284592.cu1', 'torsion': [6]}
  • id: 12103348
    {'degree': 8, 'field': [3844, -2480, 800, -164, 125, -38, 2, -2, 1], 'lmfdb_label': '284592.cu1', 'torsion': [4, 4]}
  • id: 12103352
    {'degree': 16, 'field': [344097469, 256803480, -92353492, -12133464, -50583152, 13041720, -1912164, 21216, 742038, -61080, -2340, 72, -1808, -24, -4, 0, 1], 'lmfdb_label': '284592.cu1', 'torsion': [2, 8]}
  • id: 12103350
    {'degree': 16, 'field': [820665792, 572532480, -345808224, -272061696, 78221344, 58597760, -10643304, -6497152, 1049280, 434464, -62898, -16640, 2763, 392, -66, -4, 1], 'lmfdb_label': '284592.cu1', 'torsion': [8]}
  • id: 12103351
    {'degree': 16, 'field': [6658787556, 659303664, -391946464, -168697648, -44960408, 6535712, 4292584, 397840, -43116, -41192, -3352, 1880, 72, -16, -12, 0, 1], 'lmfdb_label': '284592.cu1', 'torsion': [2, 8]}
  • id: 12103353
    {'degree': 16, 'field': [20760199056, 0, -1832423712, 0, 615150064, 0, 59649072, 0, 828264, 0, -84616, 0, -2568, 0, 0, 0, 1], 'lmfdb_label': '284592.cu1', '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: 7050262
    {'conductor': 284592, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '284592.cu1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7050263
    {'conductor': 284592, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '284592.cu1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7050264
    {'conductor': 284592, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '284592.cu1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7050265
    {'conductor': 284592, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '284592.cu1', 'prime': 11, '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: 3458787
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [5, 8, 48, 77], [161, 8, 160, 9], [113, 8, 116, 33], [89, 44, 64, 93], [1, 4, 4, 17], [80, 3, 53, 152], [3, 8, 160, 147], [132, 61, 77, 20]], 'adelic_image': '168.48.1.?', 'conductor': 284592, 'lmfdb_label': '284592.cu1', 'prime': 0}
  • id: 1010624
    {'conductor': 284592, 'elladic_image': '4.12.0.11', 'lmfdb_label': '284592.cu1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 284592.cu does not appear in ec_padic