Elliptic curve data - 28665.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': '28665r', 'Clabel': '28665r1', 'Cnumber': 1, 'abc_quality': 1.0864249349968382, 'absD': 1127817741038625, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -6434567, 6284029966], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 28665, 'degree': 599040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3794226667147832479265852204', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [9275335480470938787, 355047875], 'lmfdb_iso': '28665.t', 'lmfdb_label': '28665.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -131318, -18283268], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '156.6.0.?', '210.6.0.?', '1820.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 735], [3, 6, 637], [5, 6, 5733], [7, 32, 585], [13, 14, 2205]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1318145200200991725250975394', 'prec': 100}, 'szpiro_ratio': 5.713993855270198, '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, -1, 0, -1, 1, 0, 0, 3, 0, -1, 6, 0, 1, 0, 0, -1, 4, 0, 4, -1], 'aplist': [-1, 0, 1, 0, 6, 1, 4, 4, 0, -4, 0, 8, 6, 2, -2, 6, 8, -2, 0, -10, -14, 12, -6, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 28665, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '28665.t', 'trace_hash': 392800565573114668}
• 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': '0.0085755055325934203821064914732', 'prec': 110}, 'conductor': 28665, 'gens': [], 'heights': [], 'lmfdb_label': '28665.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36186784463855931759041832527', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1712070678313559055425099516322917256', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1465, -733, 1]], 'xcoord_integral_points': [1465]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 0], '7': 'a', '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '28665.t2'}
• ec_torsion_growth •

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

  
  
  • id: 1437457
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '28665.t2', 'torsion': [2, 2]}
  • id: 1437458
    {'degree': 4, 'field': [-30, -78, -33, 0, 1], 'lmfdb_label': '28665.t2', 'torsion': [4]}
  • id: 1437461
    {'degree': 8, 'field': [375, -525, 435, -258, 120, -69, 15, -3, 1], 'lmfdb_label': '28665.t2', 'torsion': [6]}
  • id: 1437459
    {'degree': 8, 'field': [10816, 0, 2236, 0, -204, 0, 31, 0, 1], 'lmfdb_label': '28665.t2', 'torsion': [2, 4]}
  • id: 1437460
    {'degree': 8, 'field': [270400, 0, -75335, 0, 5391, 0, -137, 0, 1], 'lmfdb_label': '28665.t2', 'torsion': [2, 4]}
  • id: 1437463
    {'degree': 16, 'field': [-1631, 13069, -35929, 37830, -4540, -2269, -22070, 13797, 10777, -9603, 961, 1429, -604, -18, 32, -7, 1], 'lmfdb_label': '28665.t2', 'torsion': [2, 6]}
  • id: 1437462
    {'degree': 16, 'field': [47180609680, 533208771360, 310945724672, -181236859488, -58204414900, 21806015520, 3187996352, -982323564, -71640131, 15322884, 824140, 37152, -9871, -2040, 58, 0, 1], 'lmfdb_label': '28665.t2', 'torsion': [8]}
• 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: 665661
    {'conductor': 28665, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '28665.t2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 665662
    {'conductor': 28665, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '28665.t2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 665663
    {'conductor': 28665, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '28665.t2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 665664
    {'conductor': 28665, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '28665.t2', 'prime': 13, 'reduction_type': 1, '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: 1855701
    {'adelic_gens': [[3644, 1, 1819, 0], [1, 2, 2, 5], [1, 4, 0, 1], [4682, 1, 3119, 0], [1369, 4096, 1364, 4095], [1094, 1, 2183, 0], [1, 0, 4, 1], [3, 4, 8, 11], [5457, 4, 5456, 5], [4201, 4, 2942, 9]], 'adelic_image': '5460.12.0.?', 'conductor': 28665, 'lmfdb_label': '28665.t2', 'prime': 0}
  • id: 129700
    {'conductor': 28665, 'elladic_image': '2.3.0.1', 'lmfdb_label': '28665.t2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 28665.t does not appear in ec_padic