Elliptic curve data - 3150.o2

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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': '3150h', 'Clabel': '3150h1', 'Cnumber': 1, 'abc_quality': 0.8976142640226761, 'absD': 7235156250, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [1, -1, 0, 258, -3834], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 3150, 'degree': 1440, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.57463927845886548727749399882', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 3], 'jinv': [179685, 686], 'lmfdb_iso': '3150.o', 'lmfdb_label': '3150.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 93, 791], 'min_quad_twist_disc': -15, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9432366744573975877651280536', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 6, 50], [5, 14, 126], [7, 8, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77297240199756218530515686590', 'prec': 107}, 'szpiro_ratio': 3.7233979032854823, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 1, -1, 0, 0, 0, 0, -1, -1, 0, 1, -3, 0, 2, 0], 'aplist': [-1, 0, 0, 1, 0, -1, -3, 2, -3, -3, -1, 2, 3, -7, -6, -9, -3, -1, 8, 0, -4, 8, -15, -6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 3150, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3150.o', 'trace_hash': 1151256799697400656}
• 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': '0.31686528720730535060431414857', 'prec': 103}, 'conductor': 3150, 'gens': [[33, 183, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9432366744573975877651280536', 'prec': 100}], 'lmfdb_label': '3150.o2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.67231428673888639633559472379', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6129315575053416805068522745166723864', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [[19, 78, 1]], 'xcoord_integral_points': [19, 33, 369]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': 'a', '7': [2, 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': '3150.o2'}
• ec_torsion_growth •

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

  
  
  • id: 163519
    {'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '3150.o2', 'torsion': [6]}
  • id: 163521
    {'degree': 6, 'field': [133, -240, 147, -20, -9, 0, 1], 'lmfdb_label': '3150.o2', 'torsion': [3, 3]}
  • id: 163520
    {'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '3150.o2', 'torsion': [2, 6]}
  • id: 163522
    {'degree': 9, 'field': [14336, -37632, 16128, 3324, -2604, 468, -42, -12, 0, 1], 'lmfdb_label': '3150.o2', 'torsion': [9]}
  • id: 163523
    {'degree': 12, 'field': [-525492, 392868, -435969, 324108, -95847, 28104, -8883, 912, 49, -40, 27, -4, 1], 'lmfdb_label': '3150.o2', 'torsion': [12]}
  • id: 163524
    {'degree': 18, 'field': [592704, 0, 0, 667008, 0, 0, 275440, 0, 0, 23840, 0, 0, 2060, 0, 0, -32, 0, 0, 1], 'lmfdb_label': '3150.o2', 'torsion': [3, 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: 56593
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3150.o2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 56594
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '3150.o2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 56595
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '3150.o2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 56596
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3150.o2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1684481
    {'adelic_gens': [[165, 166, 158, 161], [4, 3, 9, 7], [163, 6, 162, 7], [1, 6, 0, 1], [1, 0, 6, 1], [78, 97, 115, 54], [127, 6, 45, 19], [3, 4, 8, 11], [85, 6, 87, 19], [73, 6, 51, 19]], 'adelic_image': '168.16.0.?', 'conductor': 3150, 'lmfdb_label': '3150.o2', 'prime': 0}
  • id: 15811
    {'conductor': 3150, 'elladic_image': '3.8.0.1', 'lmfdb_label': '3150.o2', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 103136
    {'lmfdb_iso': '3150.o', 'p': 13, 'prec': 20, 'unit': 711636153326983698160, 'val': 1}
  • id: 103138
    {'lmfdb_iso': '3150.o', 'p': 17, 'prec': 20, 'unit': 34489659306457739291533, 'val': 1}
  • id: 103139
    {'lmfdb_iso': '3150.o', 'p': 19, 'prec': 20, 'unit': 1827314155440104985525627, 'val': 1}
  • id: 103143
    {'lmfdb_iso': '3150.o', 'p': 23, 'prec': 20, 'unit': 31474954476673279333636937, 'val': 1}
  • id: 103135
    {'lmfdb_iso': '3150.o', 'p': 29, 'prec': 20, 'unit': 3730948614056076807499175963, 'val': 1}
  • id: 103147
    {'lmfdb_iso': '3150.o', 'p': 31, 'prec': 20, 'unit': 2122894579232156665621033383, 'val': 1}
  • id: 103132
    {'lmfdb_iso': '3150.o', 'p': 37, 'prec': 20, 'unit': 511930320415998971933756262322, 'val': 1}
  • id: 103133
    {'lmfdb_iso': '3150.o', 'p': 41, 'prec': 20, 'unit': 3002507478684771734015822618409, 'val': 1}
  • id: 103134
    {'lmfdb_iso': '3150.o', 'p': 43, 'prec': 20, 'unit': 2551323819719022120753527179842, 'val': 1}
  • id: 103145
    {'lmfdb_iso': '3150.o', 'p': 47, 'prec': 20, 'unit': 43238249123018359973843339526411, 'val': 1}
  • id: 103140
    {'lmfdb_iso': '3150.o', 'p': 53, 'prec': 20, 'unit': 267300465726047068560619742923297, 'val': 1}
  • id: 103141
    {'lmfdb_iso': '3150.o', 'p': 59, 'prec': 20, 'unit': 589744710574119178903132720760413, 'val': 1}
  • id: 103146
    {'lmfdb_iso': '3150.o', 'p': 61, 'prec': 20, 'unit': 6897521643888987357741498683207127, 'val': 1}
  • id: 103131
    {'lmfdb_iso': '3150.o', 'p': 67, 'prec': 20, 'unit': 6332437519830868392066902855622492, 'val': 1}
  • id: 103142
    {'lmfdb_iso': '3150.o', 'p': 73, 'prec': 20, 'unit': 146400407221108780623092305248388647, 'val': 1}
  • id: 103137
    {'lmfdb_iso': '3150.o', 'p': 79, 'prec': 20, 'unit': 444882311037182235552807608799339686, 'val': 1}
  • id: 103130
    {'lmfdb_iso': '3150.o', 'p': 83, 'prec': 20, 'unit': 557027383033257197841525974637492435, 'val': 1}
  • id: 103144
    {'lmfdb_iso': '3150.o', 'p': 89, 'prec': 20, 'unit': 2246262830325612626983967664827808022, 'val': 1}
  • id: 103129
    {'lmfdb_iso': '3150.o', 'p': 97, 'prec': 20, 'unit': 15317435253519203414031346063786706264, 'val': 1}