Elliptic curve data - 296450.di1

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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': '296450di', 'Clabel': '296450di1', 'Cnumber': 1, 'abc_quality': 1.022439916879566, 'absD': 393188820037898500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [1, -1, 0, -2310457, -1350831399], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 296450, 'degree': 6635520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3560891937555308735766838052', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2], 'jinv': [52355598021, 15092], 'lmfdb_iso': '296450.di', 'lmfdb_label': '296450.di1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -390, -2863], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.d.1', '616.6.0.?', '770.6.0.?', '3080.12.0.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21817299527983614465715418881', 'prec': 107}, 'szpiro_ratio': 4.4106417406154845, '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, 0, 0, 0, -1, -3, 0, 0, 0, 6, 0, 0, 1, 4, 3, -4, 0], 'aplist': [-1, 0, 0, 0, 0, 6, 4, -4, 4, 0, 2, 2, 10, 8, 0, 2, 0, 14, 2, -4, -4, -14, -18, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 296450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '296450.di', 'trace_hash': 1678424716337891375}
• 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': '0.0089851830374157860113431935087', 'prec': 110}, 'conductor': 296450, 'gens': [], 'heights': [], 'lmfdb_label': '296450.di1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12245670966740528443199718316', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9593073546784845509119549305741862738', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-866, 433, 1]], 'xcoord_integral_points': [-866]}
• lmfdb_label 296450.di1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12561228
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '296450.di1', 'torsion': [2, 2]}
  • id: 12561229
    {'degree': 4, 'field': [11, 22, 9, -2, 1], 'lmfdb_label': '296450.di1', 'torsion': [4]}
  • id: 12561232
    {'degree': 8, 'field': [-55814, -51029, 15334, 2167, -1001, -11, 1, -2, 1], 'lmfdb_label': '296450.di1', 'torsion': [6]}
  • id: 12561230
    {'degree': 8, 'field': [1600, 0, 13400, 0, 545, 0, 50, 0, 1], 'lmfdb_label': '296450.di1', 'torsion': [2, 4]}
  • id: 12561231
    {'degree': 8, 'field': [306916, 0, -117358, 0, -3991, 0, -52, 0, 1], 'lmfdb_label': '296450.di1', 'torsion': [2, 4]}
  • id: 12561233
    {'degree': 16, 'field': [103829531, -126885480, 181951236, -141042832, 118220252, 148899376, 39938432, 1574720, 1141577, 752192, 230428, 5848, 486, 784, 68, -8, 1], 'lmfdb_label': '296450.di1', 'torsion': [8]}
  • id: 12561234
    {'degree': 16, 'field': [1273709536, 1475687158, -1180482915, -568992130, 230472320, 66064104, -23735363, 790360, 624045, -506030, 59527, 22656, -3685, -70, 30, -8, 1], 'lmfdb_label': '296450.di1', '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: 7343387
    {'conductor': 296450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '296450.di1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7343388
    {'conductor': 296450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '296450.di1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7343389
    {'conductor': 296450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '296450.di1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7343390
    {'conductor': 296450, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '296450.di1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3529774
    {'adelic_gens': [[1, 2, 2, 5], [1962, 1, 559, 0], [1, 4, 0, 1], [1929, 1156, 384, 2695], [3077, 4, 3076, 5], [1541, 4, 2, 9], [1, 0, 4, 1], [1322, 1, 879, 0], [3, 4, 8, 11], [2468, 1, 2463, 0]], 'adelic_image': '3080.12.0.?', 'conductor': 296450, 'lmfdb_label': '296450.di1', 'prime': 0}
  • id: 1047327
    {'conductor': 296450, 'elladic_image': '2.3.0.1', 'lmfdb_label': '296450.di1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 296450.di does not appear in ec_padic