Elliptic curve data - 2450.j2

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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': '2450o', 'Clabel': '2450o1', 'Cnumber': 1, 'abc_quality': 0.917369764916668, 'absD': 12250, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 3640, 'ainvs': [1, -1, 0, -2, 6], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 2450, 'degree': 144, 'elladic_images': ['13.14.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.53344214450729645125245812862', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 13], 'jinv': [-189, 2], 'lmfdb_iso': '2450.j', 'lmfdb_label': '2450.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2, 6], 'min_quad_twist_disc': 1, 'modell_images': ['13B'], 'modm_images': ['13.14.0.a.1', '40.2.0.a.1', '65.28.0.a.1', '91.42.0.?', '104.28.0.?', '455.168.2.?', '520.56.1.?', '728.84.2.?', '3640.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.34026683882605581237192044047', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2601199807917070957535400858', 'prec': 103}, 'szpiro_ratio': 2.168322071790253, '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, -1, 0, 1, 0, 0, 0, -1, -3, 0, 3, 0, -5, 0, 0, 1, -2, 3, 5, 0], 'aplist': [-1, 0, 0, 0, 3, -5, -2, 5, 7, -4, 2, -1, -3, -2, -7, -9, 4, -6, -2, -6, -16, 14, -6, -2, -12], 'class_deg': 13, 'class_size': 2, 'conductor': 2450, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '2450.j', 'trace_hash': 1214866965291617123}
• 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': '2.9063101561062891122681852661', 'prec': 100}, 'conductor': 2450, 'gens': [[-1, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.34026683882605581237192044047', 'prec': 103}], 'lmfdb_label': '2450.j2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '3.4139127421632122005125732590', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3232825936077359179718362073889584296', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-1, 3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 1, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2450.j2'}
• ec_torsion_growth •

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

  
  
  • id: 125991
    {'degree': 3, 'field': [15, 5, -1, 1], 'lmfdb_label': '2450.j2', 'torsion': [2]}
  • id: 125992
    {'degree': 6, 'field': [90, 0, 61, 0, 8, 0, 1], 'lmfdb_label': '2450.j2', 'torsion': [2, 2]}
  • id: 125993
    {'degree': 8, 'field': [16, -571, 532, 77, -35, -7, 7, -4, 1], 'lmfdb_label': '2450.j2', 'torsion': [3]}
  • id: 125995
    {'degree': 12, 'field': [1, 8, -40, -46, 110, 71, -113, -43, 54, 11, -12, -1, 1], 'lmfdb_label': '2450.j2', 'torsion': [13]}
  • id: 125994
    {'degree': 12, 'field': [8100, 11500, 60325, -21900, -15765, 3320, 3745, -1480, -179, 136, -9, -4, 1], 'lmfdb_label': '2450.j2', 'torsion': [4]}
• 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: 42018
    {'conductor': 2450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2450.j2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 42019
    {'conductor': 2450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '2450.j2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 42020
    {'conductor': 2450, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2450.j2', 'prime': 7, '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: 1679923
    {'adelic_gens': [[1834, 13, 2717, 3628], [911, 1846, 0, 1471], [1, 26, 0, 1], [736, 13, 1547, 148], [14, 23, 871, 1431], [14, 13, 1807, 3628], [1577, 26, 2340, 1193], [3615, 26, 3614, 27], [1, 0, 26, 1]], 'adelic_image': '3640.336.9.?', 'conductor': 2450, 'lmfdb_label': '2450.j2', 'prime': 0}
  • id: 12171
    {'conductor': 2450, 'elladic_image': '13.14.0.1', 'lmfdb_label': '2450.j2', 'modell_image': '13B', 'prime': 13}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 75551
    {'lmfdb_iso': '2450.j', 'p': 11, 'prec': 20, 'unit': 12311855915052619847, 'val': 1}
  • id: 75557
    {'lmfdb_iso': '2450.j', 'p': 13, 'prec': 20, 'unit': 839480874100872246871, 'val': 1}
  • id: 75559
    {'lmfdb_iso': '2450.j', 'p': 17, 'prec': 20, 'unit': 112714500038529487684846, 'val': 1}
  • id: 75560
    {'lmfdb_iso': '2450.j', 'p': 19, 'prec': 20, 'unit': 1290397795340848869478410, 'val': 1}
  • id: 75564
    {'lmfdb_iso': '2450.j', 'p': 23, 'prec': 20, 'unit': 58817588297017662765291535, 'val': 1}
  • id: 75556
    {'lmfdb_iso': '2450.j', 'p': 29, 'prec': 20, 'unit': 1433227445428914630580166658, 'val': 1}
  • id: 75569
    {'lmfdb_iso': '2450.j', 'p': 31, 'prec': 20, 'unit': 9136044371481563436699310063, 'val': 1}
  • id: 75552
    {'lmfdb_iso': '2450.j', 'p': 37, 'prec': 20, 'unit': 32837414061871379048633456453, 'val': 1}
  • id: 75554
    {'lmfdb_iso': '2450.j', 'p': 41, 'prec': 20, 'unit': 56048616413641597816600439936, 'val': 2}
  • id: 75555
    {'lmfdb_iso': '2450.j', 'p': 43, 'prec': 20, 'unit': 1065672154511106704345855355875, 'val': 1}
  • id: 75566
    {'lmfdb_iso': '2450.j', 'p': 47, 'prec': 20, 'unit': 35690782925271166002371133066345, 'val': 1}
  • id: 75561
    {'lmfdb_iso': '2450.j', 'p': 53, 'prec': 20, 'unit': 307892889978459557735884582410192, 'val': 1}
  • id: 75562
    {'lmfdb_iso': '2450.j', 'p': 59, 'prec': 20, 'unit': 2158152337588809230937061283859719, 'val': 1}
  • id: 75567
    {'lmfdb_iso': '2450.j', 'p': 61, 'prec': 20, 'unit': 820472092479533178886036919846630, 'val': 1}
  • id: 75550
    {'lmfdb_iso': '2450.j', 'p': 67, 'prec': 20, 'unit': 35017738358485825543730270868678360, 'val': 1}
  • id: 75553
    {'lmfdb_iso': '2450.j', 'p': 71, 'prec': 20, 'unit': 136695247234126780653621120504474357, 'val': 1}
  • id: 75563
    {'lmfdb_iso': '2450.j', 'p': 73, 'prec': 20, 'unit': 158721556128890733478347380726715681, 'val': 1}
  • id: 75558
    {'lmfdb_iso': '2450.j', 'p': 79, 'prec': 20, 'unit': 20890459000231509829576654527592047, 'val': 1}
  • id: 75568
    {'lmfdb_iso': '2450.j', 'p': 83, 'prec': 20, 'unit': 2185464755813838613086410759254200576, 'val': 1}
  • id: 75565
    {'lmfdb_iso': '2450.j', 'p': 89, 'prec': 20, 'unit': 3742820062251418596969380802450469692, 'val': 1}
  • id: 75549
    {'lmfdb_iso': '2450.j', 'p': 97, 'prec': 20, 'unit': 12834644590659191035987267046338833909, 'val': 1}