Elliptic curve data - 152592.t2

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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': '152592bx', 'Clabel': '152592bx2', 'Cnumber': 2, 'abc_quality': 1.0770442522930508, 'absD': 95460227039232, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -368, 470208], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 152592, 'degree': 294912, 'elladic_images': ['4.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3613799879686646464731001008', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [-274625, 4743684], 'lmfdb_iso': '152592.t', 'lmfdb_label': '152592.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -23, -7347], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '68.24.0.j.1', '264.24.0.?', '4488.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7745528081862288966985348033', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [3, 4, 50864], [11, 12, 13872], [17, 82, 528]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.040070528605334683006515675127', 'prec': 110}, 'szpiro_ratio': 3.321554015776428, '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, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, -1, 0, 0, 1, 2, 0, 0, 8, 4, 0, 4, 0, 8, 12, -6, 0, -8, 4, -8, -4, 8, 4, -10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 152592, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '152592.t', 'trace_hash': 1661258470706387183}
• 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': '0.065693192358032107342849132223', 'prec': 107}, 'conductor': 152592, 'gens': [[42, 726, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7745528081862288966985348033', 'prec': 100}], 'lmfdb_label': '152592.t2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.48002923725411344012270203364', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8146978478462442396572280364984565024', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-79, 0, 1]], 'xcoord_integral_points': [-79, 42, 74]}
• lmfdb_label 152592.t2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6850231
    {'degree': 2, 'field': [17, 0, 1], 'lmfdb_label': '152592.t2', 'torsion': [2, 2]}
  • id: 6850232
    {'degree': 4, 'field': [-17, 0, 0, 0, 1], 'lmfdb_label': '152592.t2', 'torsion': [4]}
  • id: 6850233
    {'degree': 4, 'field': [16, 8, 10, -2, 1], 'lmfdb_label': '152592.t2', 'torsion': [2, 4]}
  • id: 6850235
    {'degree': 8, 'field': [-25948443, 0, 1273912, 0, -17646, 0, 0, 0, 1], 'lmfdb_label': '152592.t2', 'torsion': [6]}
  • id: 6850234
    {'degree': 8, 'field': [16, 8, 2, -22, 17, -10, 8, -4, 1], 'lmfdb_label': '152592.t2', 'torsion': [4, 4]}
  • id: 6850236
    {'degree': 16, 'field': [65536, 0, -759296, 0, 5990480, 0, 1707846, 0, 123377, 0, -13524, 0, -3550, 0, -26, 0, 1], 'lmfdb_label': '152592.t2', 'torsion': [8]}
  • id: 6850237
    {'degree': 16, 'field': [1679616, 0, 1514304, 0, 204424, 0, -217000, 0, 47172, 0, -368, 0, -30, 0, -10, 0, 1], 'lmfdb_label': '152592.t2', 'torsion': [2, 8]}
  • id: 6850238
    {'degree': 16, 'field': [26543104, 0, 7247104, 0, 1491488, 0, 27216, 0, 4388, 0, -1344, 0, 248, 0, 4, 0, 1], 'lmfdb_label': '152592.t2', 'torsion': [2, 8]}
  • id: 6850239
    {'degree': 16, 'field': [1598000625, 0, -761013600, 0, 770494876, 0, -87911856, 0, 958242, 0, 183360, 0, -4488, 0, -24, 0, 1], 'lmfdb_label': '152592.t2', '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: 3773221
    {'conductor': 152592, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '152592.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3773222
    {'conductor': 152592, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '152592.t2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3773223
    {'conductor': 152592, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '152592.t2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3773224
    {'conductor': 152592, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '152592.t2', 'prime': 17, '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: 2653010
    {'adelic_gens': [[1, 8, 0, 1], [3, 8, 4480, 4467], [4481, 8, 4480, 9], [2249, 1124, 1144, 2253], [3370, 3369, 21, 3382], [1, 0, 8, 1], [5, 8, 48, 77], [1854, 19, 1577, 4466], [409, 8, 1636, 33], [1, 4, 4, 17], [2993, 8, 2996, 33]], 'adelic_image': '4488.48.1.?', 'conductor': 152592, 'lmfdb_label': '152592.t2', 'prime': 0}
  • id: 584342
    {'conductor': 152592, 'elladic_image': '4.12.0.11', 'lmfdb_label': '152592.t2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 152592.t does not appear in ec_padic