Elliptic curve data - 925.b3

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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': '925b', 'Clabel': '925b1', 'Cnumber': 1, 'abc_quality': 0.8826782160855301, 'absD': 578125, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 9990, 'ainvs': [0, -1, 1, -83, 318], 'analytic_rank': 1, 'bad_primes': [5, 37], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 925, 'degree': 96, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.071811772927356149088080564782', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [4096000, 37], 'lmfdb_iso': '925.b', 'lmfdb_label': '925.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -3, 1], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.2', '27.36.0.a.1', '45.24.0-9.a.1.1', '74.2.0.?', '135.72.0.?', '222.8.0.?', '333.36.0.?', '666.72.3.?', '999.324.16.?', '1110.16.0.?', '1665.72.0.?', '1998.648.43.?', '3330.144.3.?', '4995.648.16.?', '9990.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.31631685960117170637616532578', 'prec': 103}, 'semistable': False, 'serre_invariants': [[5, 14, 37], [37, 38, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.87653072914440633638846023139', 'prec': 107}, 'szpiro_ratio': 3.6431772139239973, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, -2, 0, 0, 1, 0, -2, 0, 3, 2, 4, 0, 0, 4, -6, 0, 2, 0], 'aplist': [0, -1, 0, 1, 3, 4, -6, 2, -6, -6, -4, -1, -9, -8, -3, 3, 12, 8, 4, -15, -11, -10, -9, 6, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 925, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '925.b', 'trace_hash': 2240379333575530560}
• 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': '1.1544494294384380007412476396', 'prec': 100}, 'conductor': 925, 'gens': [[2, 12, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31631685960117170637616532578', 'prec': 103}], 'lmfdb_label': '925.b3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.9208099320522509910335146196', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8478028503973594964313234745172602266', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [2, 6, 158]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 7, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [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': '925.b3'}
• ec_torsion_growth •

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

  
  
  • id: 44284
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '925.b3', 'torsion': [3]}
  • id: 44285
    {'degree': 3, 'field': [1, -3, -1, 1], 'lmfdb_label': '925.b3', 'torsion': [2]}
  • id: 44289
    {'degree': 6, 'field': [-1, -3, 12, 1, -10, -1, 1], 'lmfdb_label': '925.b3', 'torsion': [6]}
  • id: 44286
    {'degree': 6, 'field': [1, -5, 0, 9, -2, -3, 1], 'lmfdb_label': '925.b3', 'torsion': [2, 2]}
  • id: 44288
    {'degree': 6, 'field': [121, -308, 137, 49, -28, -1, 1], 'lmfdb_label': '925.b3', 'torsion': [9]}
  • id: 44287
    {'degree': 6, 'field': [421, 11, -83, 32, 5, -3, 1], 'lmfdb_label': '925.b3', 'torsion': [3]}
  • id: 44290
    {'degree': 12, 'field': [-2474, 5576, 1936, 14900, -5036, 32, 1072, -432, -304, -46, -4, 0, 1], 'lmfdb_label': '925.b3', 'torsion': [4]}
  • id: 44292
    {'degree': 12, 'field': [1, -2, -10, 4, 44, 61, 32, -10, -16, 4, 3, -3, 1], 'lmfdb_label': '925.b3', 'torsion': [9]}
  • id: 44293
    {'degree': 12, 'field': [4, 0, -68, 0, 216, 0, -253, 0, 115, 0, -19, 0, 1], 'lmfdb_label': '925.b3', 'torsion': [2, 6]}
  • id: 44291
    {'degree': 12, 'field': [1444, 3078, 2909, 1539, -720, -513, 463, -246, 39, -15, 8, -3, 1], 'lmfdb_label': '925.b3', 'torsion': [3, 3]}
  • id: 44295
    {'degree': 18, 'field': [31, 322, 125, -3781, -1067, 18069, -5779, -34573, 31037, 10228, -20856, 3527, 4527, -1785, -249, 214, -15, -7, 1], 'lmfdb_label': '925.b3', 'torsion': [18]}
  • id: 44294
    {'degree': 18, 'field': [11639794, -8908666, 13064302, -10394209, 9783345, -5191476, 2718456, -916719, 447503, -154611, 71705, -15899, 5581, -893, 543, -102, 38, -3, 1], 'lmfdb_label': '925.b3', 'torsion': [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: 12530
    {'conductor': 925, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '925.b3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12531
    {'conductor': 925, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '925.b3', 'prime': 37, '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: 1670425
    {'adelic_gens': [[31, 36, 4168, 3229], [1, 54, 0, 1], [6251, 1275, 8965, 7306], [28, 27, 729, 703], [6556, 4005, 9005, 4786], [5993, 0, 0, 9989], [1, 0, 54, 1], [9937, 54, 9936, 55]], 'adelic_image': '9990.1296.43.?', 'conductor': 925, 'lmfdb_label': '925.b3', 'prime': 0}
  • id: 4325
    {'conductor': 925, 'elladic_image': '27.36.0.1', 'lmfdb_label': '925.b3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 20371
    {'lmfdb_iso': '925.b', 'p': 7, 'prec': 20, 'unit': 77025717181514620, 'val': -1}
  • id: 20370
    {'lmfdb_iso': '925.b', 'p': 11, 'prec': 20, 'unit': 25052342355515640709, 'val': 1}
  • id: 20375
    {'lmfdb_iso': '925.b', 'p': 13, 'prec': 20, 'unit': 604979156781648744469, 'val': 1}
  • id: 20377
    {'lmfdb_iso': '925.b', 'p': 17, 'prec': 20, 'unit': 139166899971782212053432, 'val': 1}
  • id: 20378
    {'lmfdb_iso': '925.b', 'p': 19, 'prec': 20, 'unit': 1225565311114679785198292, 'val': 1}
  • id: 20382
    {'lmfdb_iso': '925.b', 'p': 23, 'prec': 20, 'unit': 19021252262928760793270343, 'val': 1}
  • id: 20374
    {'lmfdb_iso': '925.b', 'p': 29, 'prec': 20, 'unit': 3691014397778301098397434304, 'val': 1}
  • id: 20388
    {'lmfdb_iso': '925.b', 'p': 31, 'prec': 20, 'unit': 10588009801915491359971824279, 'val': 1}
  • id: 20372
    {'lmfdb_iso': '925.b', 'p': 41, 'prec': 20, 'unit': 1219389700518463258544128036803, 'val': 1}
  • id: 20373
    {'lmfdb_iso': '925.b', 'p': 43, 'prec': 20, 'unit': 2364634497674606292901504471240, 'val': 1}
  • id: 20385
    {'lmfdb_iso': '925.b', 'p': 47, 'prec': 20, 'unit': 43142196128135596433802124892350, 'val': 1}
  • id: 20379
    {'lmfdb_iso': '925.b', 'p': 53, 'prec': 20, 'unit': 4353626840674123180630915362606, 'val': 1}
  • id: 20380
    {'lmfdb_iso': '925.b', 'p': 59, 'prec': 20, 'unit': 1860660985521606672589569042414150, 'val': 1}
  • id: 20386
    {'lmfdb_iso': '925.b', 'p': 61, 'prec': 20, 'unit': 5584143709707780878635172961333693, 'val': 1}
  • id: 20369
    {'lmfdb_iso': '925.b', 'p': 67, 'prec': 20, 'unit': 16497756433796657693103110050396480, 'val': 1}
  • id: 20384
    {'lmfdb_iso': '925.b', 'p': 71, 'prec': 20, 'unit': 138195269622288355146122335684575395, 'val': 1}
  • id: 20381
    {'lmfdb_iso': '925.b', 'p': 73, 'prec': 20, 'unit': 243482409207831553293861173698497554, 'val': 1}
  • id: 20376
    {'lmfdb_iso': '925.b', 'p': 79, 'prec': 20, 'unit': 956688491717005899760354731568362956, 'val': 1}
  • id: 20387
    {'lmfdb_iso': '925.b', 'p': 83, 'prec': 20, 'unit': 2624352728419152896270367834917049693, 'val': 1}
  • id: 20383
    {'lmfdb_iso': '925.b', 'p': 89, 'prec': 20, 'unit': 2035081755064835965310941155285298078, 'val': 1}
  • id: 20368
    {'lmfdb_iso': '925.b', 'p': 97, 'prec': 20, 'unit': 5037730280788539785822938684071789926, 'val': 1}