Elliptic curve data - 3150.ba8

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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': '3150bf', 'Clabel': '3150bf8', 'Cnumber': 8, 'abc_quality': 1.0876511700840974, 'absD': 154524284362792968750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 1, 164020, 597488397], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 3150, 'degree': 110592, 'elladic_images': ['8.12.0.6', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5530511135870297918239448858', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [42841933504271, 13565917968750], 'lmfdb_iso': '3150.ba', 'lmfdb_label': '3150.ba8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 729, -176985], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.5', '12.24.0.g.1', '15.8.0-3.a.1.2', '24.96.0-24.bu.2.14', '30.24.0-6.a.1.2', '56.24.0-56.v.1.7', '60.48.0-12.g.1.1', '84.48.0.?', '120.192.1.?', '168.192.1.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4165134449917019956926816027', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 8, 50], [5, 18, 126], [7, 8, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1990260130359247588259426007', 'prec': 100}, 'szpiro_ratio': 6.696302596725, '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, 1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, -2, -1, 0, 1, -6, 0, -4, 0], 'aplist': [1, 0, 0, -1, 0, -2, -6, -4, 0, 6, -4, -2, -6, -8, -12, 6, 12, 2, -8, 0, -14, -16, 12, -6, -14], 'class_deg': 12, 'class_size': 8, 'conductor': 3150, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '3150.ba', 'trace_hash': 872978663859660256}
• 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': '0.0060596561152222635066135793621', 'prec': 110}, 'conductor': 3150, 'gens': [[30413, 5582169, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '8.4165134449917019956926816027', 'prec': 100}], 'lmfdb_label': '3150.ba8', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14149108174105607774218063473', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7634463672800735728411765321702431807', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-3109, 3105, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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.ba8'}
• ec_torsion_growth •

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

  
  
  • id: 164290
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [4]}
  • id: 164292
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3150.ba8', 'torsion': [6]}
  • id: 164289
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 2]}
  • id: 164291
    {'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [4]}
  • id: 164294
    {'degree': 4, 'field': [-14, 0, -32, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [8]}
  • id: 164296
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '3150.ba8', 'torsion': [12]}
  • id: 164293
    {'degree': 4, 'field': [121, 0, -8, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 4]}
  • id: 164295
    {'degree': 4, 'field': [239, -26, 27, -2, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 6]}
  • id: 164297
    {'degree': 4, 'field': [505, -40, 41, -2, 1], 'lmfdb_label': '3150.ba8', 'torsion': [12]}
  • id: 164298
    {'degree': 6, 'field': [384, 0, 0, -36, 0, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [6]}
  • id: 164303
    {'degree': 8, 'field': [-149, 612, -578, -80, 71, -40, 18, -4, 1], 'lmfdb_label': '3150.ba8', 'torsion': [24]}
  • id: 164300
    {'degree': 8, 'field': [900, 0, 2685, 0, 271, 0, 23, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [8]}
  • id: 164302
    {'degree': 8, 'field': [1129, -548, 616, -140, 81, -16, 10, -4, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 12]}
  • id: 164301
    {'degree': 8, 'field': [1521, 0, -1356, 0, 376, 0, 4, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 8]}
  • id: 164299
    {'degree': 8, 'field': [6780, 5040, 424, 448, 544, -56, 44, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 4]}
  • id: 164306
    {'degree': 12, 'field': [2304, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [12]}
  • id: 164304
    {'degree': 12, 'field': [3481, -3363, 2187, -200, -75, -303, -4, 51, -39, 14, 9, -3, 1], 'lmfdb_label': '3150.ba8', 'torsion': [3, 6]}
  • id: 164307
    {'degree': 12, 'field': [84001, -61992, 654150, -225216, 89439, 21168, -4796, 0, 735, -72, -42, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [12]}
  • id: 164305
    {'degree': 12, 'field': [9125824, 9459072, 6246912, 1552896, 469392, 84672, 56944, 0, 2940, -72, 84, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 6]}
  • id: 164312
    {'degree': 16, 'field': [6400, 0, 48560, 0, 80201, 0, -42792, 0, 5624, 0, 234, 0, -136, 0, 8, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [24]}
  • id: 164313
    {'degree': 16, 'field': [9081, -7704, 73392, -78456, -76316, 94776, 32928, -39664, -6187, 5624, 3548, -2008, -90, 168, -4, -8, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 24]}
  • id: 164309
    {'degree': 16, 'field': [810000, 0, 0, 0, 597825, 0, 0, 0, 32371, 0, 0, 0, 323, 0, 0, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 8]}
  • id: 164308
    {'degree': 16, 'field': [1876900, 3068800, 2508800, 817600, 328724, 251888, 150528, -13888, -2571, 8344, 1568, -1456, 282, -56, 0, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [4, 4]}
  • id: 164311
    {'degree': 16, 'field': [5616900, 0, 3815760, 0, 131236, 0, -119392, 0, 69069, 0, -10556, 0, 1134, 0, -52, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [2, 12]}
  • id: 164310
    {'degree': 16, 'field': [423536400, 0, 69148800, 0, -85777440, 0, 28247520, 0, -4190774, 0, 335216, 0, -13944, 0, 176, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [16]}
  • id: 164314
    {'degree': 18, 'field': [218313936, 847759392, 1324013040, 1029086064, 354206520, -26481168, -61458516, -14143680, 2024028, 1040460, -130500, -117720, -12275, 5625, 1575, -66, -57, 0, 1], 'lmfdb_label': '3150.ba8', 'torsion': [18]}
• 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: 56849
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3150.ba8', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 56850
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '3150.ba8', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 56851
    {'conductor': 3150, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '3150.ba8', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 56852
    {'conductor': 3150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3150.ba8', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1684402
    {'adelic_gens': [[246, 409, 35, 176], [1, 12, 12, 145], [699, 556, 832, 387], [15, 106, 374, 11], [631, 24, 642, 289], [503, 816, 156, 551], [817, 24, 816, 25], [496, 21, 195, 466], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 3150, 'lmfdb_label': '3150.ba8', 'prime': 0}
  • id: 15711
    {'conductor': 3150, 'elladic_image': '8.12.0.6', 'lmfdb_label': '3150.ba8', 'modell_image': '2B', 'prime': 2}
  • id: 15713
    {'conductor': 3150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3150.ba8', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 103355
    {'lmfdb_iso': '3150.ba', 'p': 13, 'prec': 20, 'unit': 1377549557093275795809, 'val': 1}
  • id: 103357
    {'lmfdb_iso': '3150.ba', 'p': 17, 'prec': 20, 'unit': 214014943755980594076139, 'val': 1}
  • id: 103358
    {'lmfdb_iso': '3150.ba', 'p': 19, 'prec': 20, 'unit': 1514352561870576531746299, 'val': 1}
  • id: 103354
    {'lmfdb_iso': '3150.ba', 'p': 29, 'prec': 20, 'unit': 264875068198973661543643562, 'val': 1}
  • id: 103365
    {'lmfdb_iso': '3150.ba', 'p': 31, 'prec': 20, 'unit': 2620671129971088173746879248, 'val': 1}
  • id: 103351
    {'lmfdb_iso': '3150.ba', 'p': 37, 'prec': 20, 'unit': 154967020661625914984701669938, 'val': 1}
  • id: 103352
    {'lmfdb_iso': '3150.ba', 'p': 41, 'prec': 20, 'unit': 3315943932147367080757527172810, 'val': 1}
  • id: 103353
    {'lmfdb_iso': '3150.ba', 'p': 43, 'prec': 20, 'unit': 2988025766487498391150423741990, 'val': 1}
  • id: 103363
    {'lmfdb_iso': '3150.ba', 'p': 47, 'prec': 20, 'unit': 42388633618245355848246255496334, 'val': 1}
  • id: 103359
    {'lmfdb_iso': '3150.ba', 'p': 53, 'prec': 20, 'unit': 109981326192562149748557371574007, 'val': 1}
  • id: 103360
    {'lmfdb_iso': '3150.ba', 'p': 59, 'prec': 20, 'unit': 1796622364390447012810477807182796, 'val': 1}
  • id: 103364
    {'lmfdb_iso': '3150.ba', 'p': 61, 'prec': 20, 'unit': 1021140803374193936373392224453525, 'val': 1}
  • id: 103350
    {'lmfdb_iso': '3150.ba', 'p': 67, 'prec': 20, 'unit': 11009776265710103429778626377148807, 'val': 1}
  • id: 103361
    {'lmfdb_iso': '3150.ba', 'p': 73, 'prec': 20, 'unit': 79765405972152229471185161782495269, 'val': 1}
  • id: 103356
    {'lmfdb_iso': '3150.ba', 'p': 79, 'prec': 20, 'unit': 241455354127498979226126353271803547, 'val': 1}
  • id: 103349
    {'lmfdb_iso': '3150.ba', 'p': 83, 'prec': 20, 'unit': 2436735469054331576900019201310233947, 'val': 1}
  • id: 103362
    {'lmfdb_iso': '3150.ba', 'p': 89, 'prec': 20, 'unit': 8940092940069607927038010771826701723, 'val': 1}
  • id: 103348
    {'lmfdb_iso': '3150.ba', 'p': 97, 'prec': 20, 'unit': 27380453818073205441971877532340718030, 'val': 1}