Elliptic curve data - 25536.m4

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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': '25536ch', 'Clabel': '25536ch3', 'Cnumber': 3, 'abc_quality': 0.9554293813978071, 'absD': 67796211990528, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, -1, 0, 4031, -385055], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 25536, 'degree': 81920, 'elladic_images': ['8.24.0.59'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3351721833815323309925778748', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [55251546334, 517244049], 'lmfdb_iso': '25536.m', 'lmfdb_label': '25536.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 1008, 47628], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.d.1.1', '456.48.0.?'], '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': '3.1856326583540967515592548814', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35321367758827647598483236940', 'prec': 103}, 'szpiro_ratio': 3.866677061149574, '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, -1, 0, -2, 0, 1, 0, 1, 0, -4, 0, 6, 0, 2, 0, 2, 0, -1, 0], 'aplist': [0, -1, -2, 1, -4, 6, 2, -1, 4, -6, -4, -2, 10, 12, -4, -14, -4, -6, 4, 8, -6, 12, 12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 25536, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '25536.m', 'trace_hash': 1169752345032843369}
• 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': '0.069228381250467502830465903560', 'prec': 107}, 'conductor': 25536, 'gens': [[71, 504, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1856326583540967515592548814', 'prec': 100}], 'lmfdb_label': '25536.m4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30546535866110594248216625948', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8924016901866661439393549440406131997', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[55, 0, 1]], 'xcoord_integral_points': [55, 71]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [2, 0], '11': [3, 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': '25536.m4'}
• ec_torsion_growth •

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

  
  
  • id: 1287879
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [4]}
  • id: 1287880
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [4]}
  • id: 1287878
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 2]}
  • id: 1287882
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 4]}
  • id: 1287881
    {'degree': 4, 'field': [98, 0, 0, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 4]}
  • id: 1287884
    {'degree': 8, 'field': [-4388, 5144, 8182, -3472, 582, -44, -17, -2, 1], 'lmfdb_label': '25536.m4', 'torsion': [8]}
  • id: 1287886
    {'degree': 8, 'field': [-3, 0, 106, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [6]}
  • id: 1287883
    {'degree': 8, 'field': [2401, 0, -1372, 0, 392, 0, -28, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [4, 4]}
  • id: 1287885
    {'degree': 8, 'field': [4225, 0, -2676, 0, 536, 0, -36, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [8]}
  • id: 1287888
    {'degree': 16, 'field': [16, 0, 224, 0, 1568, 0, 2184, 0, 1361, 0, -1092, 0, 392, 0, -28, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 8]}
  • id: 1287892
    {'degree': 16, 'field': [12996, 0, 25992, 0, 12996, 0, -3536, 0, -2452, 0, 292, 0, 16, 0, 8, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [12]}
  • id: 1287891
    {'degree': 16, 'field': [40401, 0, -252, 0, -5688, 0, -18248, 0, 7478, 0, -284, 0, 100, 0, -16, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [12]}
  • id: 1287890
    {'degree': 16, 'field': [49729, 0, 97348, 0, 36712, 0, -8040, 0, -3546, 0, 708, 0, 100, 0, 16, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 6]}
  • id: 1287887
    {'degree': 16, 'field': [990193, 236768, 247344, -130144, 23744, -95648, -11816, -9408, 22806, 0, 1120, -1568, 224, 0, -8, 0, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 8]}
  • id: 1287889
    {'degree': 16, 'field': [187306596, 277716312, 205882632, 134473140, 89184109, 45318256, 17434904, 5374244, 1161423, 179480, 28696, 1132, -57, 256, 8, -4, 1], 'lmfdb_label': '25536.m4', 'torsion': [2, 8]}
• 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: 588381
    {'conductor': 25536, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '25536.m4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 588382
    {'conductor': 25536, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25536.m4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 588383
    {'conductor': 25536, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25536.m4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 588384
    {'conductor': 25536, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25536.m4', 'prime': 19, '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: 1834857
    {'adelic_gens': [[7, 6, 450, 451], [168, 391, 293, 306], [56, 277, 53, 24], [305, 8, 308, 33], [97, 8, 388, 33], [1, 0, 8, 1], [449, 8, 448, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '456.48.0.?', 'conductor': 25536, 'lmfdb_label': '25536.m4', 'prime': 0}
  • id: 116712
    {'conductor': 25536, 'elladic_image': '8.24.0.59', 'lmfdb_label': '25536.m4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1218285
    {'lmfdb_iso': '25536.m', 'p': 5, 'prec': 20, 'unit': 13201682936089, 'val': 1}
  • id: 1218284
    {'lmfdb_iso': '25536.m', 'p': 11, 'prec': 20, 'unit': 3965135330046982986, 'val': 2}
  • id: 1218291
    {'lmfdb_iso': '25536.m', 'p': 13, 'prec': 20, 'unit': 1254651175414339813171, 'val': 1}
  • id: 1218293
    {'lmfdb_iso': '25536.m', 'p': 17, 'prec': 20, 'unit': 227103744852678085345744, 'val': 1}
  • id: 1218298
    {'lmfdb_iso': '25536.m', 'p': 23, 'prec': 20, 'unit': 48173779779136656710531617, 'val': 1}
  • id: 1218290
    {'lmfdb_iso': '25536.m', 'p': 29, 'prec': 20, 'unit': 2047277597249257212276022463, 'val': 1}
  • id: 1218287
    {'lmfdb_iso': '25536.m', 'p': 31, 'prec': 20, 'unit': 1011627781587636226442823590, 'val': 1}
  • id: 1218302
    {'lmfdb_iso': '25536.m', 'p': 37, 'prec': 20, 'unit': 566752499356625131007383800907, 'val': 1}
  • id: 1218288
    {'lmfdb_iso': '25536.m', 'p': 41, 'prec': 20, 'unit': 230588508262992835787612712995, 'val': 1}
  • id: 1218289
    {'lmfdb_iso': '25536.m', 'p': 43, 'prec': 20, 'unit': 1273821940220362790774088222333, 'val': 1}
  • id: 1218300
    {'lmfdb_iso': '25536.m', 'p': 47, 'prec': 20, 'unit': 57430804485724634695106346253926, 'val': 1}
  • id: 1218295
    {'lmfdb_iso': '25536.m', 'p': 53, 'prec': 20, 'unit': 429796418767787327686243200153000, 'val': 1}
  • id: 1218296
    {'lmfdb_iso': '25536.m', 'p': 59, 'prec': 20, 'unit': 3562958526621971933622982390284351, 'val': 1}
  • id: 1218301
    {'lmfdb_iso': '25536.m', 'p': 61, 'prec': 20, 'unit': 1129479339238252715375689790026346, 'val': 1}
  • id: 1218294
    {'lmfdb_iso': '25536.m', 'p': 67, 'prec': 20, 'unit': 12543627857566048048893986159556272, 'val': 1}
  • id: 1218286
    {'lmfdb_iso': '25536.m', 'p': 71, 'prec': 20, 'unit': 28195149020226210075229386184595142, 'val': 1}
  • id: 1218297
    {'lmfdb_iso': '25536.m', 'p': 73, 'prec': 20, 'unit': 107108385207543192610868083338198120, 'val': 1}
  • id: 1218292
    {'lmfdb_iso': '25536.m', 'p': 79, 'prec': 20, 'unit': 296018333255391147374364880969045745, 'val': 1}
  • id: 1218283
    {'lmfdb_iso': '25536.m', 'p': 83, 'prec': 20, 'unit': 82457409676128766199064792157280057, 'val': 1}
  • id: 1218299
    {'lmfdb_iso': '25536.m', 'p': 89, 'prec': 20, 'unit': 2667238990933678474181277475350237985, 'val': 1}
  • id: 1218282
    {'lmfdb_iso': '25536.m', 'p': 97, 'prec': 20, 'unit': 32746559114517666635947977218416818311, 'val': 1}