Elliptic curve data - 100016.n1

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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': '100016i', 'Clabel': '100016i2', 'Cnumber': 2, 'abc_quality': 0.8620909593293017, 'absD': 80025602048, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2632, 'ainvs': [0, -1, 0, -15512, 748688], 'analytic_rank': 1, 'bad_primes': [2, 7, 19, 47], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 100016, 'degree': 144384, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0921985243251305161793499278', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [201569651552306, 39075001], 'lmfdb_iso': '100016.n', 'lmfdb_label': '100016.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -15512, -748688], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '1316.6.0.?', '2632.12.0.?'], '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': '1.5528598601144252336220530534', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45681360881184731588022048313', 'prec': 103}, 'szpiro_ratio': 3.523102061347721, '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, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 4, 0, -2, 0, 1, 0], 'aplist': [0, 2, 2, 1, 2, 2, -2, 1, 8, 0, -8, -10, -2, -10, -1, 2, -6, -8, -6, 0, 14, -8, 10, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 100016, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '100016.n', 'trace_hash': 94388366751416450}
• 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': '0.11254557270538047977178062983', 'prec': 103}, 'conductor': 100016, 'gens': [[496, 10716, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5528598601144252336220530534', 'prec': 100}], 'lmfdb_label': '100016.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0523327398537002028122063524', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.073002169624373896214633506391980773', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[73, 0, 1]], 'xcoord_integral_points': [73, 496]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '100016.n1'}
• ec_torsion_growth •

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

  
  
  • id: 4641273
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '100016.n1', 'torsion': [2, 2]}
  • id: 4641274
    {'degree': 4, 'field': [50, 0, -23, 0, 1], 'lmfdb_label': '100016.n1', 'torsion': [4]}
  • id: 4641277
    {'degree': 8, 'field': [-93987, 0, -18836, 0, -1062, 0, 0, 0, 1], 'lmfdb_label': '100016.n1', 'torsion': [6]}
  • id: 4641275
    {'degree': 8, 'field': [64, 0, -3064, 0, 745, 0, -54, 0, 1], 'lmfdb_label': '100016.n1', 'torsion': [2, 4]}
  • id: 4641276
    {'degree': 8, 'field': [109688, 131520, 93152, 2768, -3052, -192, 44, 0, 1], 'lmfdb_label': '100016.n1', 'torsion': [2, 4]}
  • id: 4641278
    {'degree': 16, 'field': [3610000, 0, -11356675328, 0, 1768136324, 0, -88368920, 0, 5242292, 0, -324224, 0, 9001, 0, -138, 0, 1], 'lmfdb_label': '100016.n1', 'torsion': [8]}
  • id: 4641279
    {'degree': 16, 'field': [119093569, 0, -298374916, 0, 35709436, 0, 5182628, 0, 235414, 0, 15140, 0, 844, 0, -4, 0, 1], 'lmfdb_label': '100016.n1', '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: 2453950
    {'conductor': 100016, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '100016.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2453951
    {'conductor': 100016, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100016.n1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2453952
    {'conductor': 100016, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100016.n1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2453953
    {'conductor': 100016, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100016.n1', 'prime': 47, '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: 2321190
    {'adelic_gens': [[2, 1, 1315, 0], [1, 2, 2, 5], [1, 4, 0, 1], [2305, 330, 328, 2303], [2257, 4, 1882, 9], [2073, 4, 1514, 9], [2629, 4, 2628, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '2632.12.0.?', 'conductor': 100016, 'lmfdb_label': '100016.n1', 'prime': 0}
  • id: 401809
    {'conductor': 100016, 'elladic_image': '8.6.0.6', 'lmfdb_label': '100016.n1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5202334
    {'lmfdb_iso': '100016.n', 'p': 5, 'prec': 20, 'unit': 9729933471134, 'val': 1}
  • id: 5202333
    {'lmfdb_iso': '100016.n', 'p': 11, 'prec': 20, 'unit': 5342233504135998522, 'val': 1}
  • id: 5202338
    {'lmfdb_iso': '100016.n', 'p': 13, 'prec': 20, 'unit': 191318762005710796228, 'val': 1}
  • id: 5202340
    {'lmfdb_iso': '100016.n', 'p': 17, 'prec': 20, 'unit': 200314193684689068542423, 'val': 1}
  • id: 5202344
    {'lmfdb_iso': '100016.n', 'p': 23, 'prec': 20, 'unit': 34228774337318740338071847, 'val': 1}
  • id: 5202335
    {'lmfdb_iso': '100016.n', 'p': 31, 'prec': 20, 'unit': 9992353821718813278652008329, 'val': 1}
  • id: 5202348
    {'lmfdb_iso': '100016.n', 'p': 37, 'prec': 20, 'unit': 14971898502810048100394219080, 'val': 1}
  • id: 5202336
    {'lmfdb_iso': '100016.n', 'p': 41, 'prec': 20, 'unit': 2027711029715655240562791013739, 'val': 1}
  • id: 5202337
    {'lmfdb_iso': '100016.n', 'p': 43, 'prec': 20, 'unit': 2996430396014931385352910752252, 'val': 1}
  • id: 5202342
    {'lmfdb_iso': '100016.n', 'p': 53, 'prec': 20, 'unit': 223107443856562835092684787389640, 'val': 1}
  • id: 5202346
    {'lmfdb_iso': '100016.n', 'p': 59, 'prec': 20, 'unit': 3402074885141925821318250877970897, 'val': 1}
  • id: 5202347
    {'lmfdb_iso': '100016.n', 'p': 61, 'prec': 20, 'unit': 5722484550537923903422636274142051, 'val': 1}
  • id: 5202332
    {'lmfdb_iso': '100016.n', 'p': 67, 'prec': 20, 'unit': 36488986659719530539975332993668901, 'val': 1}
  • id: 5202343
    {'lmfdb_iso': '100016.n', 'p': 73, 'prec': 20, 'unit': 1355502554147432914314668104141778, 'val': 2}
  • id: 5202339
    {'lmfdb_iso': '100016.n', 'p': 79, 'prec': 20, 'unit': 684340501828631170230210640429941869, 'val': 1}
  • id: 5202341
    {'lmfdb_iso': '100016.n', 'p': 83, 'prec': 20, 'unit': 2739402317062036640031994404990702246, 'val': 1}
  • id: 5202345
    {'lmfdb_iso': '100016.n', 'p': 89, 'prec': 20, 'unit': 4004908564596339787715468420933135750, 'val': 1}
  • id: 5202331
    {'lmfdb_iso': '100016.n', 'p': 97, 'prec': 20, 'unit': 46114790551222365396289916555788398988, 'val': 1}