Elliptic curve data - 284592.jb1

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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': '284592jb', 'Clabel': '284592jb2', 'Cnumber': 2, 'abc_quality': 1.032335220248665, 'absD': 11710060307403247190016, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [0, 1, 0, -13377800, -19544105484], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 284592, 'degree': 16793280, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9995264549734412048635939884', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 235, 'isogeny_degrees': [1, 7], 'jinv': [-6329617441, 279936], 'lmfdb_iso': '284592.jb', 'lmfdb_label': '284592.jb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -141, 657], 'min_quad_twist_disc': -308, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '24.2.0.b.1', '168.48.2.?', '308.48.0.?', '1848.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18984179468923157998817841767', 'prec': 107}, 'szpiro_ratio': 4.850344841410036, '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, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 4, 0, 8, 0], 'aplist': [0, 1, 1, 0, 0, 0, 4, 8, 4, 5, -3, -4, 0, 2, 6, -9, 11, 6, 2, -2, -10, 3, -7, -6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 284592, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '284592.jb', 'trace_hash': 1238984694336789539}
• 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': '0.0024811008902430934426397942499', 'prec': 110}, 'conductor': 284592, 'gens': [], 'heights': [], 'lmfdb_label': '284592.jb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.039368776210004711514964568843', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9604658024605936508855356742016748913', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 284592.jb1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12105152
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '284592.jb1', 'torsion': [7]}
  • id: 12105153
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '284592.jb1', 'torsion': [2]}
  • id: 12105154
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '284592.jb1', 'torsion': [2, 2]}
  • id: 12105155
    {'degree': 6, 'field': [2388, 1900, 898, 160, 4, -2, 1], 'lmfdb_label': '284592.jb1', 'torsion': [14]}
  • id: 12105156
    {'degree': 8, 'field': [-75576, 34116, 4569, -2560, -469, 158, 1, -2, 1], 'lmfdb_label': '284592.jb1', 'torsion': [3]}
  • id: 12105157
    {'degree': 12, 'field': [-7406559, 7591077, 291816, -1151235, 799341, -175380, 23744, 2420, -1251, -3, 40, -3, 1], 'lmfdb_label': '284592.jb1', 'torsion': [4]}
  • id: 12105158
    {'degree': 12, 'field': [8360982, 7725564, 5656938, 871584, 163345, -125356, -8966, -380, 1460, -176, 16, -4, 1], 'lmfdb_label': '284592.jb1', 'torsion': [2, 14]}
  • id: 12105159
    {'degree': 16, 'field': [5105433078, 629827812, -1277238780, 81917218, 219583274, -24454320, -15803081, 3163136, 409974, -154764, 21405, 1752, -1393, 166, 12, -4, 1], 'lmfdb_label': '284592.jb1', 'torsion': [21]}
• 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: 7051226
    {'conductor': 284592, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '284592.jb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7051227
    {'conductor': 284592, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '284592.jb1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 7051228
    {'conductor': 284592, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '284592.jb1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7051229
    {'conductor': 284592, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '284592.jb1', 'prime': 11, 'reduction_type': 0, '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: 3459037
    {'adelic_gens': [[1835, 14, 1834, 15], [1385, 154, 0, 1847], [617, 1694, 1463, 771], [1, 14, 0, 1], [925, 1694, 1771, 771], [461, 1078, 0, 725], [1, 0, 14, 1], [8, 5, 91, 57], [1175, 0, 0, 1847]], 'adelic_image': '1848.96.2.?', 'conductor': 284592, 'lmfdb_label': '284592.jb1', 'prime': 0}
  • id: 1010796
    {'conductor': 284592, 'elladic_image': '7.24.0.1', 'lmfdb_label': '284592.jb1', 'modell_image': '7B.6.1', 'prime': 7}
• lmfdb_iso 284592.jb does not appear in ec_padic