Elliptic curve data - 235200.do1

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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': '235200do', 'Clabel': '235200do1', 'Cnumber': 1, 'abc_quality': 1.1195309049468458, 'absD': 80048379600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, -1, 0, -2770133, 1775465637], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 235200, 'degree': 4423680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3351405710861738474154425447', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 92, 'isogeny_degrees': [1, 2], 'jinv': [1248870793216, 42525], 'lmfdb_iso': '235200.do', 'lmfdb_label': '235200.do1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -565, 5362], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '42.6.0.a.1', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1964146988620750914427417859', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.020156110125154083618640261517', 'prec': 110}, 'szpiro_ratio': 4.53718889222624, '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, -2, 0, -4, 0, 0, 0, 2, 0, -2, 0], 'aplist': [0, -1, 0, 0, -2, -4, 2, -2, 4, -6, -2, 10, 10, -12, 8, 0, 8, -2, 12, 10, 4, 0, -12, -2, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 235200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '235200.do', 'trace_hash': 708125394194544785}
• 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': '0.0093696349571531052133598959941', 'prec': 110}, 'conductor': 235200, 'gens': [[637, 16400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1964146988620750914427417859', 'prec': 100}], 'lmfdb_label': '235200.do1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32026345807373540136306171712', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3758331318760846237902622810510537384', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[957, 0, 1]], 'xcoord_integral_points': [637, 957]}
• lmfdb_label 235200.do1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10170781
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '235200.do1', 'torsion': [2, 2]}
  • id: 10170782
    {'degree': 4, 'field': [21, 0, 8, 0, 1], 'lmfdb_label': '235200.do1', 'torsion': [4]}
  • id: 10170785
    {'degree': 8, 'field': [-367500, 0, 390250, 0, 2100, 0, 0, 0, 1], 'lmfdb_label': '235200.do1', 'torsion': [6]}
  • id: 10170783
    {'degree': 8, 'field': [1681, 0, -5534, 0, 951, 0, -74, 0, 1], 'lmfdb_label': '235200.do1', 'torsion': [2, 4]}
  • id: 10170784
    {'degree': 8, 'field': [1681, 0, -856, 0, 171, 0, -16, 0, 1], 'lmfdb_label': '235200.do1', 'torsion': [2, 4]}
  • id: 10170787
    {'degree': 16, 'field': [-2562490175, 10402978600, -8514183180, -3541204960, 1187989370, 675717000, -186107120, -33736040, 8661411, -126968, 208, 14424, -2950, 224, -12, -8, 1], 'lmfdb_label': '235200.do1', 'torsion': [2, 6]}
  • id: 10170786
    {'degree': 16, 'field': [5934096, 0, 7439040, 0, 3656256, 0, -424800, 0, -46904, 0, -80, 0, 656, 0, 40, 0, 1], 'lmfdb_label': '235200.do1', '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: 5828271
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '235200.do1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5828272
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '235200.do1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5828273
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '235200.do1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5828274
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '235200.do1', 'prime': 7, '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: 3160741
    {'adelic_gens': [[142, 1, 139, 0], [1, 2, 2, 5], [1, 4, 0, 1], [62, 1, 179, 0], [417, 4, 416, 5], [1, 0, 4, 1], [109, 316, 104, 315], [3, 4, 8, 11], [337, 4, 254, 9]], 'adelic_image': '420.12.0.?', 'conductor': 235200, 'lmfdb_label': '235200.do1', 'prime': 0}
  • id: 854705
    {'conductor': 235200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '235200.do1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.do does not appear in ec_padic