Elliptic curve data - 61200.bz2

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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': '61200ey', 'Clabel': '61200ey2', 'Cnumber': 2, 'abc_quality': 0.9489425211495345, 'absD': 2184340608000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, 0, 0, 26925, 1471250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 61200, 'degree': 245760, 'elladic_images': ['8.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6302176808227164715616670344', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [46268279, 46818], 'lmfdb_iso': '61200.bz', 'lmfdb_label': '61200.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 8, 10], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.a.1', '68.6.0.c.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2190007204950846757124237412', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41695460028833387085356737213', 'prec': 107}, 'szpiro_ratio': 3.830194892347032, '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, -2, 0, 0, 0, 0, 0, 6, 0, 0, 0, -1, 0, -4, 0], 'aplist': [0, 0, 0, -2, 0, 6, -1, -4, -6, 4, 6, 4, 10, -4, -4, -2, 12, -4, -12, -6, -2, -10, 12, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 61200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '61200.bz', 'trace_hash': 1562891751987451085}
• 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': '0.038371688818961627161463488370', 'prec': 107}, 'conductor': 61200, 'gens': [[1, 1224, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2190007204950846757124237412', 'prec': 100}], 'lmfdb_label': '61200.bz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30518229752854362427052291434', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9522790491142396374762935190004421438', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-50, 0, 1]], 'xcoord_integral_points': [-50, 1, 119, 625]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '61200.bz2'}
• ec_torsion_growth •

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

  
  
  • id: 2934011
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '61200.bz2', 'torsion': [2, 2]}
  • id: 2934012
    {'degree': 4, 'field': [-134, -74, -43, -1, 1], 'lmfdb_label': '61200.bz2', 'torsion': [4]}
  • id: 2934015
    {'degree': 8, 'field': [-67500, 0, 0, 0, -900, 0, 25, 0, 1], 'lmfdb_label': '61200.bz2', 'torsion': [6]}
  • id: 2934014
    {'degree': 8, 'field': [361, 0, 284, 0, 132, 0, -4, 0, 1], 'lmfdb_label': '61200.bz2', 'torsion': [2, 4]}
  • id: 2934013
    {'degree': 8, 'field': [1324, 112, 1178, -300, 143, -114, 29, -2, 1], 'lmfdb_label': '61200.bz2', 'torsion': [2, 4]}
  • id: 2934016
    {'degree': 16, 'field': [16, 0, 15800, 0, -191332, 0, -522564, 0, 10004, 0, -8526, 0, 311, 0, -31, 0, 1], 'lmfdb_label': '61200.bz2', 'torsion': [8]}
  • id: 2934017
    {'degree': 16, 'field': [70660836, 0, 14323392, 0, 34975152, 0, 7958124, 0, 597780, 0, 27432, 0, 745, 0, 12, 0, 1], 'lmfdb_label': '61200.bz2', '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: 1474997
    {'conductor': 61200, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '61200.bz2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1474998
    {'conductor': 61200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '61200.bz2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1474999
    {'conductor': 61200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '61200.bz2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1475000
    {'conductor': 61200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '61200.bz2', '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: 2069549
    {'adelic_gens': [[133, 4, 132, 5], [2, 1, 67, 0], [1, 4, 0, 1], [52, 89, 17, 120], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [105, 4, 74, 9]], 'adelic_image': '136.12.0.?', 'conductor': 61200, 'lmfdb_label': '61200.bz2', 'prime': 0}
  • id: 257939
    {'conductor': 61200, 'elladic_image': '8.6.0.5', 'lmfdb_label': '61200.bz2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3110035
    {'lmfdb_iso': '61200.bz', 'p': 7, 'prec': 20, 'unit': 2335884464934869, 'val': 1}
  • id: 3110039
    {'lmfdb_iso': '61200.bz', 'p': 13, 'prec': 20, 'unit': 702413149000652792385, 'val': 1}
  • id: 3110042
    {'lmfdb_iso': '61200.bz', 'p': 19, 'prec': 20, 'unit': 1108064381929415145825238, 'val': 1}
  • id: 3110045
    {'lmfdb_iso': '61200.bz', 'p': 23, 'prec': 20, 'unit': 2165255151936733238004796, 'val': 1}
  • id: 3110038
    {'lmfdb_iso': '61200.bz', 'p': 29, 'prec': 20, 'unit': 646818482438214452260495439, 'val': 1}
  • id: 3110050
    {'lmfdb_iso': '61200.bz', 'p': 31, 'prec': 20, 'unit': 16612959703066384717245827821, 'val': 1}
  • id: 3110034
    {'lmfdb_iso': '61200.bz', 'p': 37, 'prec': 20, 'unit': 289550127019132750674582109766, 'val': 1}
  • id: 3110036
    {'lmfdb_iso': '61200.bz', 'p': 41, 'prec': 20, 'unit': 601447832496906077269083102332, 'val': 1}
  • id: 3110037
    {'lmfdb_iso': '61200.bz', 'p': 43, 'prec': 20, 'unit': 7172731343834625491557878160554, 'val': 1}
  • id: 3110048
    {'lmfdb_iso': '61200.bz', 'p': 47, 'prec': 20, 'unit': 29394518371577767858309364580781, 'val': 1}
  • id: 3110043
    {'lmfdb_iso': '61200.bz', 'p': 53, 'prec': 20, 'unit': 495794075148333359209038823055918, 'val': 1}
  • id: 3110041
    {'lmfdb_iso': '61200.bz', 'p': 59, 'prec': 20, 'unit': 1774613372018957412573778033435378, 'val': 1}
  • id: 3110049
    {'lmfdb_iso': '61200.bz', 'p': 61, 'prec': 20, 'unit': 4292865515379719247848252321239210, 'val': 1}
  • id: 3110033
    {'lmfdb_iso': '61200.bz', 'p': 67, 'prec': 20, 'unit': 1147055808253392688918097839458087, 'val': 1}
  • id: 3110047
    {'lmfdb_iso': '61200.bz', 'p': 71, 'prec': 20, 'unit': 80175715847484806976502680023904332, 'val': 1}
  • id: 3110044
    {'lmfdb_iso': '61200.bz', 'p': 73, 'prec': 20, 'unit': 26539124846997050457634616382276989, 'val': 1}
  • id: 3110040
    {'lmfdb_iso': '61200.bz', 'p': 79, 'prec': 20, 'unit': 1030706731775090786059874677535921356, 'val': 1}
  • id: 3110032
    {'lmfdb_iso': '61200.bz', 'p': 83, 'prec': 20, 'unit': 1239034828902627847740996883269273082, 'val': 1}
  • id: 3110046
    {'lmfdb_iso': '61200.bz', 'p': 89, 'prec': 20, 'unit': 9984835423644653538382083206560244840, 'val': 1}
  • id: 3110031
    {'lmfdb_iso': '61200.bz', 'p': 97, 'prec': 20, 'unit': 39355505193059507948120096993697640884, 'val': 1}