Elliptic curve data - 115600.da2

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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': '115600bu', 'Clabel': '115600bu2', 'Cnumber': 2, 'abc_quality': 0.9103514678397865, 'absD': 1116121190560000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 680, 'ainvs': [0, -1, 0, 1442592, -1462962688], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 115600, 'degree': 5308416, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7217555106510229137999567682', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 78, 'isogeny_degrees': [1, 2], 'jinv': [214921799, 722500], 'lmfdb_iso': '115600.da', 'lmfdb_label': '115600.da2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 12, 38], 'min_quad_twist_disc': -340, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '20.12.0-4.a.1.2', '68.12.0.d.1', '136.24.0.?', '340.24.0.?', '680.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7225], [5, 18, 4624], [17, 162, 400]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19271729815408062304242232881', 'prec': 107}, 'szpiro_ratio': 4.7804483530655855, '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, 2, 0, 0, 0, 2, 0, 1, 0, -2, 0, 6, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 2, 0, 2, -2, 6, 0, 8, 2, -6, -2, 6, -2, -4, 4, 10, 0, 10, 8, 14, 10, -14, -4, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 115600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '115600.da', 'trace_hash': 325257345831925331}
• 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': '0.0043242739682520667793127710213', 'prec': 110}, 'conductor': 115600, 'gens': [], 'heights': [], 'lmfdb_label': '115600.da2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.078928058580982857800460401512', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6828202178307657616331489088726725337', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[737, 0, 1]], 'xcoord_integral_points': [737]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '17': 'a'}, 'iwp0': 5, 'lmfdb_label': '115600.da2'}
• ec_torsion_growth •

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

  
  
  • id: 5299331
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '115600.da2', 'torsion': [2, 2]}
  • id: 5299332
    {'degree': 4, 'field': [-4, -9, -3, -1, 1], 'lmfdb_label': '115600.da2', 'torsion': [4]}
  • id: 5299335
    {'degree': 8, 'field': [-3377976, -338424, 171770, 15888, -3540, -242, 12, 0, 1], 'lmfdb_label': '115600.da2', 'torsion': [6]}
  • id: 5299333
    {'degree': 8, 'field': [16, 0, 57, 0, -17, 0, 7, 0, 1], 'lmfdb_label': '115600.da2', 'torsion': [2, 4]}
  • id: 5299334
    {'degree': 8, 'field': [1369, 0, 18, 0, 3, 0, -6, 0, 1], 'lmfdb_label': '115600.da2', 'torsion': [2, 4]}
  • id: 5299336
    {'degree': 16, 'field': [1, 0, 15, 0, 53, 0, 150, 0, 238, 0, 150, 0, 53, 0, 15, 0, 1], 'lmfdb_label': '115600.da2', 'torsion': [4, 4]}
  • id: 5299337
    {'degree': 16, 'field': [256, 0, 26744, 0, -8932, 0, -20878, 0, 19745, 0, -7036, 0, 1030, 0, -54, 0, 1], 'lmfdb_label': '115600.da2', 'torsion': [8]}
  • id: 5299338
    {'degree': 16, 'field': [1017456730, 311774100, -126654604, -166225322, -12009422, 24177140, 5046563, -842348, -829964, -36874, 66605, -2324, 427, -484, 26, 0, 1], 'lmfdb_label': '115600.da2', '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: 2842361
    {'conductor': 115600, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '115600.da2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2842362
    {'conductor': 115600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '115600.da2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2842363
    {'conductor': 115600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '115600.da2', 'prime': 17, '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: 2419568
    {'adelic_gens': [[341, 8, 0, 1], [1, 0, 8, 1], [5, 8, 48, 77], [673, 8, 672, 9], [543, 676, 0, 679], [3, 8, 10, 27], [169, 672, 593, 663], [1, 8, 0, 1], [439, 678, 0, 679]], 'adelic_image': '680.48.0.?', 'conductor': 115600, 'lmfdb_label': '115600.da2', 'prime': 0}
  • id: 456037
    {'conductor': 115600, 'elladic_image': '4.6.0.5', 'lmfdb_label': '115600.da2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 115600.da does not appear in ec_padic