Elliptic curve data - 63525.bw3

Formats: - HTML - YAML - JSON - 2024-04-28T08:31:08.072403

• 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': '63525q', 'Clabel': '63525q1', 'Cnumber': 1, 'abc_quality': 0.9665903421508077, 'absD': 2906467265625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, 1, 0, -7625, -246000], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 63525, 'degree': 138240, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1445572526290668721390699773', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [1771561, 105], 'lmfdb_iso': '63525.bw', 'lmfdb_label': '63525.bw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3, 1], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.ba.1', '44.12.0-4.c.1.2', '168.12.0.?', '210.6.0.?', '420.12.0.?', '440.24.0.?', '840.24.0.?', '1848.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5065360007229682225269213616', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85910933998716858719228147830', 'prec': 107}, 'szpiro_ratio': 3.4750623589797085, '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, -1, -1, 0, -1, 1, -3, 1, 0, 0, 1, -6, 1, 0, -1, 2, 1, 8, 0], 'aplist': [1, -1, 0, 1, 0, -6, 2, 8, -8, 2, 4, 2, 6, 4, -8, -10, 4, 2, -4, -12, -2, -8, -4, -6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 63525, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '63525.bw', 'trace_hash': 1270075153884043830}
• 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': '0.10135617248666737926055118753', 'prec': 103}, 'conductor': 63525, 'gens': [[196, 2318, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5065360007229682225269213616', 'prec': 100}], 'lmfdb_label': '63525.bw3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51278823921218174466993389340', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6473737999384400348074797910714978879', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-60, 30, 1]], 'xcoord_integral_points': [-60, 196]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [3, 0], '5': 'a', '7': [2, 0], '11': 'a', '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': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '63525.bw3'}
• ec_torsion_growth •

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

  
  
  • id: 3038317
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '63525.bw3', 'torsion': [2, 2]}
  • id: 3038318
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '63525.bw3', 'torsion': [4]}
  • id: 3038319
    {'degree': 2, 'field': [289, -1, 1], 'lmfdb_label': '63525.bw3', 'torsion': [4]}
  • id: 3038320
    {'degree': 4, 'field': [841, 0, -47, 0, 1], 'lmfdb_label': '63525.bw3', 'torsion': [2, 4]}
  • id: 3038321
    {'degree': 8, 'field': [-36680, 63560, -16660, 3080, 2986, -158, -121, -2, 1], 'lmfdb_label': '63525.bw3', 'torsion': [2, 4]}
  • id: 3038324
    {'degree': 8, 'field': [-7289, -4504, -941, 459, 255, -36, 4, -4, 1], 'lmfdb_label': '63525.bw3', 'torsion': [6]}
  • id: 3038322
    {'degree': 8, 'field': [356, -268, 302, -230, 141, -50, 28, -4, 1], 'lmfdb_label': '63525.bw3', 'torsion': [8]}
  • id: 3038323
    {'degree': 8, 'field': [115600, 0, 16180, 0, 969, 0, 34, 0, 1], 'lmfdb_label': '63525.bw3', 'torsion': [8]}
  • id: 3038328
    {'degree': 16, 'field': [-51434369, 55239562, -7328496, 33914496, 14458794, 2989350, 3269497, -859103, -380967, 25617, 1227, -10860, -601, 296, 39, -8, 1], 'lmfdb_label': '63525.bw3', 'torsion': [2, 6]}
  • id: 3038329
    {'degree': 16, 'field': [33815, 14265, 66281, 23698, 35558, 22795, 6498, 9142, 1746, 1171, 810, -44, 157, -14, 16, 0, 1], 'lmfdb_label': '63525.bw3', 'torsion': [12]}
  • id: 3038327
    {'degree': 16, 'field': [54580, -103540, 198490, -244630, 279341, -249562, 199380, -130150, 75236, -35810, 15126, -5150, 1556, -350, 70, -8, 1], 'lmfdb_label': '63525.bw3', 'torsion': [2, 8]}
  • id: 3038326
    {'degree': 16, 'field': [2119936, 0, 899052, 0, 239113, 0, 26880, 0, 7536, 0, -570, 0, 208, 0, -12, 0, 1], 'lmfdb_label': '63525.bw3', 'torsion': [2, 8]}
  • id: 3038330
    {'degree': 16, 'field': [139074849, 0, -39978627, 0, 9983815, 0, -1400934, 0, 149115, 0, -7726, 0, 438, 0, 0, 0, 1], 'lmfdb_label': '63525.bw3', 'torsion': [12]}
  • id: 3038325
    {'degree': 16, 'field': [16768955025, 0, 5779071000, 0, 814857990, 0, 67317000, 0, 3865951, 0, 162376, 0, 6966, 0, 136, 0, 1], 'lmfdb_label': '63525.bw3', 'torsion': [4, 4]}
• 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: 1533410
    {'conductor': 63525, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '63525.bw3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1533411
    {'conductor': 63525, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '63525.bw3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1533412
    {'conductor': 63525, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '63525.bw3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1533413
    {'conductor': 63525, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '63525.bw3', 'prime': 11, 'reduction_type': 0, '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: 2085003
    {'adelic_gens': [[9233, 8, 9232, 9], [1, 8, 0, 1], [2012, 2519, 649, 3354], [6719, 0, 0, 9239], [1, 0, 8, 1], [3928, 1683, 8965, 6722], [6128, 1683, 4565, 6722], [4313, 5148, 110, 5567], [1, 4, 4, 17], [7459, 7458, 3058, 8515], [7, 6, 9234, 9235]], 'adelic_image': '9240.48.0.?', 'conductor': 63525, 'lmfdb_label': '63525.bw3', 'prime': 0}
  • id: 266992
    {'conductor': 63525, 'elladic_image': '4.6.0.1', 'lmfdb_label': '63525.bw3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3236152
    {'lmfdb_iso': '63525.bw', 'p': 13, 'prec': 20, 'unit': 406952721824352426352, 'val': 1}
  • id: 3236154
    {'lmfdb_iso': '63525.bw', 'p': 17, 'prec': 20, 'unit': 211272586572590416183896, 'val': 1}
  • id: 3236155
    {'lmfdb_iso': '63525.bw', 'p': 19, 'prec': 20, 'unit': 691277199319756021517690, 'val': 1}
  • id: 3236159
    {'lmfdb_iso': '63525.bw', 'p': 23, 'prec': 20, 'unit': 7894369074113511718796679, 'val': 1}
  • id: 3236151
    {'lmfdb_iso': '63525.bw', 'p': 29, 'prec': 20, 'unit': 2046423814595807952690424410, 'val': 1}
  • id: 3236163
    {'lmfdb_iso': '63525.bw', 'p': 31, 'prec': 20, 'unit': 15648003482811098812828514908, 'val': 1}
  • id: 3236147
    {'lmfdb_iso': '63525.bw', 'p': 37, 'prec': 20, 'unit': 37896720232829846078043677762, 'val': 1}
  • id: 3236149
    {'lmfdb_iso': '63525.bw', 'p': 41, 'prec': 20, 'unit': 2514349877184675838294470325653, 'val': 1}
  • id: 3236150
    {'lmfdb_iso': '63525.bw', 'p': 43, 'prec': 20, 'unit': 853235029455241666814088718374, 'val': 1}
  • id: 3236161
    {'lmfdb_iso': '63525.bw', 'p': 47, 'prec': 20, 'unit': 1111083229779558790030946120316, 'val': 2}
  • id: 3236156
    {'lmfdb_iso': '63525.bw', 'p': 53, 'prec': 20, 'unit': 182218793845456493153398003972909, 'val': 1}
  • id: 3236157
    {'lmfdb_iso': '63525.bw', 'p': 59, 'prec': 20, 'unit': 2192237441185438743101027198298214, 'val': 1}
  • id: 3236162
    {'lmfdb_iso': '63525.bw', 'p': 61, 'prec': 20, 'unit': 7028680028561070769839767377068219, 'val': 1}
  • id: 3236146
    {'lmfdb_iso': '63525.bw', 'p': 67, 'prec': 20, 'unit': 20711239332716588656051562149672423, 'val': 1}
  • id: 3236148
    {'lmfdb_iso': '63525.bw', 'p': 71, 'prec': 20, 'unit': 61042336573107817306215365600781579, 'val': 1}
  • id: 3236158
    {'lmfdb_iso': '63525.bw', 'p': 73, 'prec': 20, 'unit': 15774868954621704160665715673482205, 'val': 1}
  • id: 3236153
    {'lmfdb_iso': '63525.bw', 'p': 79, 'prec': 20, 'unit': 758075957079115302108636095730444456, 'val': 1}
  • id: 3236145
    {'lmfdb_iso': '63525.bw', 'p': 83, 'prec': 20, 'unit': 93132431555416161162772054101908384, 'val': 1}
  • id: 3236160
    {'lmfdb_iso': '63525.bw', 'p': 89, 'prec': 20, 'unit': 4531964975836971885122892950654187752, 'val': 1}
  • id: 3236144
    {'lmfdb_iso': '63525.bw', 'p': 97, 'prec': 20, 'unit': 37742492837697893656122771853425957485, 'val': 1}