Elliptic curve data - 61200.hc2

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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': '61200ci', 'Clabel': '61200ci2', 'Cnumber': 2, 'abc_quality': 0.9649577391868128, 'absD': 15203192660064000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1020, 'ainvs': [0, 0, 0, -67215, 8954350], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 61200, 'degree': 479232, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8116775366853890656265692997', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 184, 'isogeny_degrees': [1, 2], 'jinv': [-1439609866256, 651714363], 'lmfdb_iso': '61200.hc', 'lmfdb_label': '61200.hc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7468, 334132], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '204.6.0.?', '340.6.0.?', '1020.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7753845499183496133182494479', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39791379386951225333393543363', 'prec': 103}, 'szpiro_ratio': 4.1316320552773815, '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, 0, 0, 0, 0, 4, 0, 0, 0, 2, 0, 4, 0, 0, 0, -1, 0, 4, 0], 'aplist': [0, 0, 0, 4, 2, 4, -1, 4, -8, -8, 0, -2, 4, -6, -12, -14, 0, 2, -2, 14, 2, -4, -16, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 61200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '61200.hc', 'trace_hash': 1477404250560901285}
• 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': '0.026692969219330754795332990010', 'prec': 107}, 'conductor': 61200, 'gens': [[425, 7560, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7753845499183496133182494479', 'prec': 100}], 'lmfdb_label': '61200.hc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36797251158845748116763917537', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1701217876580460296410339030790021916', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-310, 0, 1]], 'xcoord_integral_points': [-310, 425]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '61200.hc2'}
• ec_torsion_growth •

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

  
  
  • id: 2933153
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '61200.hc2', 'torsion': [2, 2]}
  • id: 2933154
    {'degree': 4, 'field': [-15, 0, 5, 0, 1], 'lmfdb_label': '61200.hc2', 'torsion': [4]}
  • id: 2933157
    {'degree': 8, 'field': [-9, 16, 4, -18, 4, 4, 6, -2, 1], 'lmfdb_label': '61200.hc2', 'torsion': [6]}
  • id: 2933156
    {'degree': 8, 'field': [81, 0, 339, 0, 136, 0, 19, 0, 1], 'lmfdb_label': '61200.hc2', 'torsion': [2, 4]}
  • id: 2933155
    {'degree': 8, 'field': [496, -232, 406, -346, 169, 2, 4, -4, 1], 'lmfdb_label': '61200.hc2', 'torsion': [2, 4]}
  • id: 2933159
    {'degree': 16, 'field': [16, 0, -176, 544, 520, -3608, 6452, -6716, 4526, -1828, 194, 248, -152, 26, 10, -6, 1], 'lmfdb_label': '61200.hc2', 'torsion': [2, 6]}
  • id: 2933158
    {'degree': 16, 'field': [6561, 0, -11664, 0, -22815, 0, -4356, 0, 9984, 0, -2286, 0, -395, 0, 86, 0, 1], 'lmfdb_label': '61200.hc2', '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: 1474553
    {'conductor': 61200, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '61200.hc2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1474554
    {'conductor': 61200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '61200.hc2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1474555
    {'conductor': 61200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '61200.hc2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1474556
    {'conductor': 61200, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '61200.hc2', 'prime': 17, '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: 2069787
    {'adelic_gens': [[1017, 4, 1016, 5], [1, 2, 2, 5], [1, 4, 0, 1], [241, 4, 482, 9], [682, 1, 679, 0], [1, 0, 4, 1], [208, 1, 203, 0], [3, 4, 8, 11], [257, 766, 764, 255]], 'adelic_image': '1020.12.0.?', 'conductor': 61200, 'lmfdb_label': '61200.hc2', 'prime': 0}
  • id: 258117
    {'conductor': 61200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '61200.hc2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3109263
    {'lmfdb_iso': '61200.hc', 'p': 7, 'prec': 20, 'unit': 9831357086513498, 'val': 1}
  • id: 3109261
    {'lmfdb_iso': '61200.hc', 'p': 11, 'prec': 20, 'unit': 5876140756843206514, 'val': 1}
  • id: 3109267
    {'lmfdb_iso': '61200.hc', 'p': 13, 'prec': 20, 'unit': 359800734488581184455, 'val': 1}
  • id: 3109269
    {'lmfdb_iso': '61200.hc', 'p': 19, 'prec': 20, 'unit': 49725129026192395144486, 'val': 1}
  • id: 3109272
    {'lmfdb_iso': '61200.hc', 'p': 23, 'prec': 20, 'unit': 23075262764893875204254342, 'val': 1}
  • id: 3109266
    {'lmfdb_iso': '61200.hc', 'p': 29, 'prec': 20, 'unit': 2924487260153589886804615904, 'val': 1}
  • id: 3109262
    {'lmfdb_iso': '61200.hc', 'p': 37, 'prec': 20, 'unit': 123388435403272671880984502204, 'val': 1}
  • id: 3109264
    {'lmfdb_iso': '61200.hc', 'p': 41, 'prec': 20, 'unit': 1132703054708559773529236831159, 'val': 1}
  • id: 3109265
    {'lmfdb_iso': '61200.hc', 'p': 43, 'prec': 20, 'unit': 399516167766234372404656165959, 'val': 1}
  • id: 3109268
    {'lmfdb_iso': '61200.hc', 'p': 47, 'prec': 20, 'unit': 36675231048834585113188270073654, 'val': 1}
  • id: 3109270
    {'lmfdb_iso': '61200.hc', 'p': 53, 'prec': 20, 'unit': 64388101338453691224014572165365, 'val': 1}
  • id: 3109276
    {'lmfdb_iso': '61200.hc', 'p': 61, 'prec': 20, 'unit': 1917039415685372061035231576281955, 'val': 1}
  • id: 3109260
    {'lmfdb_iso': '61200.hc', 'p': 67, 'prec': 20, 'unit': 20712647262784194313687402142176517, 'val': 1}
  • id: 3109274
    {'lmfdb_iso': '61200.hc', 'p': 71, 'prec': 20, 'unit': 49482019502895525721072284843138179, 'val': 1}
  • id: 3109271
    {'lmfdb_iso': '61200.hc', 'p': 73, 'prec': 20, 'unit': 135166023152759006367115534327942195, 'val': 1}
  • id: 3109275
    {'lmfdb_iso': '61200.hc', 'p': 79, 'prec': 20, 'unit': 186306963822535796240328049817952996, 'val': 1}
  • id: 3109277
    {'lmfdb_iso': '61200.hc', 'p': 83, 'prec': 20, 'unit': 2088145625705571189898781958752436927, 'val': 1}
  • id: 3109273
    {'lmfdb_iso': '61200.hc', 'p': 89, 'prec': 20, 'unit': 7567689900821817220664537068219073781, 'val': 1}
  • id: 3109259
    {'lmfdb_iso': '61200.hc', 'p': 97, 'prec': 20, 'unit': 21867481970309384394062398105789172428, 'val': 1}