Elliptic curve data - 279312.br1

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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': '279312br', 'Clabel': '279312br2', 'Cnumber': 2, 'abc_quality': 0.969879037258856, 'absD': 707002621351207796736, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 6072, 'ainvs': [0, -1, 0, -40686624, -99869071104], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 279312, 'degree': 32845824, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0376236086663652200415344901', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 43, 'isogeny_degrees': [1, 3], 'jinv': [12284337086925553, 1165987944], 'lmfdb_iso': '279312.br', 'lmfdb_label': '279312.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4807, -128671], 'min_quad_twist_disc': 92, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '264.8.0.?', '276.8.0.?', '2024.2.0.?', '6072.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.0111561738303687628659469655', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 5819], [3, 4, 8464], [11, 12, 25392], [23, 288, 528]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.77672932014184506522092595274', 'prec': 103}, 'szpiro_ratio': 5.117814939550397, '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, 0, -1, 0, 3, 0, -1, 0, 1, 0, -1, 0, -7, 0, -3, 0, 3, 0, 8, 0], 'aplist': [0, -1, 3, -1, -1, -7, 3, 8, 0, -9, 7, 7, -6, 2, -9, 6, 0, -8, 5, 15, 2, 11, 6, 0, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 279312, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '279312.br', 'trace_hash': 49170204365854311}
• 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': '0.0022990777439958474607580804702', 'prec': 110}, 'conductor': 279312, 'gens': [[715776, 589018224, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '8.0111561738303687628659469655', 'prec': 100}], 'lmfdb_label': '279312.br1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.059777687917151518847003181071', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6622142978366948408039543889814142016', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 279312.br1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11899660
    {'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [3]}
  • id: 11899661
    {'degree': 3, 'field': [-6, -10, -1, 1], 'lmfdb_label': '279312.br1', 'torsion': [2]}
  • id: 11899663
    {'degree': 6, 'field': [-12158, -414, 1587, -6, -69, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [3]}
  • id: 11899662
    {'degree': 6, 'field': [16, -208, 162, 60, -51, -2, 1], 'lmfdb_label': '279312.br1', 'torsion': [2, 2]}
  • id: 11899664
    {'degree': 6, 'field': [717, -816, 469, -96, 17, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [6]}
  • id: 11899665
    {'degree': 12, 'field': [61226, 0, 171941, 0, -72479, 0, -1782, 0, -1804, 0, -47, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [4]}
  • id: 11899667
    {'degree': 12, 'field': [1025632, -185664, 420672, 36832, 94694, 20956, 11990, 3208, 471, 48, 2, -4, 1], 'lmfdb_label': '279312.br1', 'torsion': [2, 6]}
  • id: 11899666
    {'degree': 12, 'field': [148108900, 0, -38570448, 0, 4199685, 0, -243334, 0, 7935, 0, -138, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [3, 3]}
  • id: 11899669
    {'degree': 18, 'field': [743248, 578160, -2038128, 133536, -410826, -97434, 324019, -5454, -166173, 14406, 60024, -3474, -10457, 306, 1032, -18, -51, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [6]}
  • id: 11899668
    {'degree': 18, 'field': [1794995309736769, 146987115167850, -5038615039395, -5720307390998, -1316401446339, -704471691666, 129200249334, -26888850396, 6917197665, -572939296, 139924251, -7912668, 1748628, -72510, 17016, -290, 153, 0, 1], 'lmfdb_label': '279312.br1', 'torsion': [9]}
• 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: 6919667
    {'conductor': 279312, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '279312.br1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6919668
    {'conductor': 279312, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '279312.br1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6919669
    {'conductor': 279312, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '279312.br1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6919670
    {'conductor': 279312, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '279312.br1', 'prime': 23, '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: 3426841
    {'adelic_gens': [[3313, 6, 3867, 19], [4, 3, 9, 7], [2111, 6066, 261, 6053], [4553, 6066, 0, 6071], [2786, 3291, 2287, 3043], [1, 6, 0, 1], [6067, 6, 6066, 7], [3, 4, 8, 11], [3037, 6, 3039, 19], [1, 0, 6, 1]], 'adelic_image': '6072.16.0.?', 'conductor': 279312, 'lmfdb_label': '279312.br1', 'prime': 0}
  • id: 994476
    {'conductor': 279312, 'elladic_image': '3.4.0.1', 'lmfdb_label': '279312.br1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 279312.br does not appear in ec_padic