Elliptic curve data - 40656.cd2

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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': '40656co', 'Clabel': '40656co6', 'Cnumber': 6, 'abc_quality': 1.0530860389430399, 'absD': 6776655270487990272, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1232, 'ainvs': [0, 1, 0, -1769544, -897916428], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 40656, 'degree': 983040, 'elladic_images': ['8.48.0.217'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4277696006568237449982910256', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [84448510979617, 933897762], 'lmfdb_iso': '40656.cd', 'lmfdb_label': '40656.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -914, -10915], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0.p.1', '44.12.0-4.c.1.2', '88.96.0.?', '112.96.1.?', '1232.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '8.8148419528440308586576537432', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 13552], [7, 8, 5808], [11, 62, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.53567478369769316355008711516', 'prec': 103}, 'szpiro_ratio': 5.160916632429183, '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, 0, 0, -6, 0, -2, 0, -2, 0, -4, 0], 'aplist': [0, 1, -2, -1, 0, -6, -2, -4, -8, 2, 0, -10, 6, -4, 0, 6, -4, -6, -4, -8, -10, 0, -4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 40656, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '40656.cd', 'trace_hash': 1541739144330608786}
• 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': '0.0077851344666592562226391454037', 'prec': 110}, 'conductor': 40656, 'gens': [[-708, 726, 1], [2196, 76230, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3484298689151565460320892270', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.8042350482138928173517299307', 'prec': 100}], 'lmfdb_label': '40656.cd2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.13098585448990450501042227720', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2369568430938711558142806042881279558', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-829, 0, 1]], 'xcoord_integral_points': [-829, -813, -708, 1572, 2196, 35271]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': [2, 0], '7': [4, 0], '11': 'a', '13': [4, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '40656.cd2'}
• ec_torsion_growth •

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

  
  
  • id: 1999254
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [2, 2]}
  • id: 1999256
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '40656.cd2', 'torsion': [8]}
  • id: 1999255
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [4]}
  • id: 1999257
    {'degree': 4, 'field': [23, -2, 3, -2, 1], 'lmfdb_label': '40656.cd2', 'torsion': [2, 8]}
  • id: 1999261
    {'degree': 8, 'field': [-75576, 34116, 4569, -2560, -469, 158, 1, -2, 1], 'lmfdb_label': '40656.cd2', 'torsion': [6]}
  • id: 1999258
    {'degree': 8, 'field': [49, 0, -148, 0, -76, 0, -4, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [2, 4]}
  • id: 1999259
    {'degree': 8, 'field': [361, 0, 188, 0, 20, 0, -4, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [8]}
  • id: 1999260
    {'degree': 8, 'field': [5877, -1044, 1332, -552, 217, 68, -18, -4, 1], 'lmfdb_label': '40656.cd2', 'torsion': [16]}
  • id: 1999263
    {'degree': 16, 'field': [-83783, 743280, -1326496, -514944, 142760, -29424, -199224, 35328, -4930, -6672, -1680, 576, -136, -48, 8, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [2, 8]}
  • id: 1999262
    {'degree': 16, 'field': [6561, 0, -14580, 0, 16200, 0, -12600, 0, 6079, 0, -1400, 0, 200, 0, -20, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [4, 8]}
  • id: 1999267
    {'degree': 16, 'field': [29241, 0, 4461804, 0, 1427004, 0, 187972, 0, 47438, 0, 9604, 0, 844, 0, 44, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [12]}
  • id: 1999268
    {'degree': 16, 'field': [190809, -599238, 1149192, -1448604, 1356606, -963066, 536526, -231024, 71177, -14090, 1082, 372, 42, -36, 28, -4, 1], 'lmfdb_label': '40656.cd2', 'torsion': [24]}
  • id: 1999264
    {'degree': 16, 'field': [6750577, 12623268, 14912476, 11741604, 6954380, 2878848, 728880, -3780, -75691, -23016, 2172, 2772, 506, -84, -32, 0, 1], 'lmfdb_label': '40656.cd2', 'torsion': [2, 16]}
  • id: 1999265
    {'degree': 16, 'field': [18676575, 7426080, -3235248, -8252280, 3804156, 388656, -152076, 55224, -55223, 22192, 1000, -3008, 562, -56, 28, -8, 1], 'lmfdb_label': '40656.cd2', 'torsion': [2, 16]}
  • id: 1999266
    {'degree': 16, 'field': [2246842049, -4156189944, 2980634758, -885677896, -3922564, 54772612, -2204772, -3251500, 493356, -67804, 14538, 5908, -1358, -16, -16, 0, 1], 'lmfdb_label': '40656.cd2', '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: 962673
    {'conductor': 40656, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '40656.cd2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 962674
    {'conductor': 40656, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '40656.cd2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 962675
    {'conductor': 40656, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '40656.cd2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 962676
    {'conductor': 40656, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '40656.cd2', '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: 1935185
    {'adelic_gens': [[1, 16, 0, 1], [353, 352, 1144, 353], [505, 880, 242, 791], [5, 4, 1228, 1229], [559, 0, 0, 1231], [1, 0, 16, 1], [1217, 16, 1216, 17], [15, 2, 1134, 1219], [540, 649, 1067, 1178]], 'adelic_image': '1232.192.1.?', 'conductor': 40656, 'lmfdb_label': '40656.cd2', 'prime': 0}
  • id: 178060
    {'conductor': 40656, 'elladic_image': '8.48.0.217', 'lmfdb_label': '40656.cd2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2015616
    {'lmfdb_iso': '40656.cd', 'p': 5, 'prec': 20, 'unit': 12754394819583, 'val': 2}
  • id: 2015620
    {'lmfdb_iso': '40656.cd', 'p': 13, 'prec': 20, 'unit': 53860102227799395784, 'val': 3}
  • id: 2015622
    {'lmfdb_iso': '40656.cd', 'p': 17, 'prec': 20, 'unit': 175673862816695501013910, 'val': 2}
  • id: 2015613
    {'lmfdb_iso': '40656.cd', 'p': 19, 'prec': 20, 'unit': 299999217366199412332125, 'val': 2}
  • id: 2015626
    {'lmfdb_iso': '40656.cd', 'p': 23, 'prec': 20, 'unit': 25523893226697725542550795, 'val': 2}
  • id: 2015621
    {'lmfdb_iso': '40656.cd', 'p': 29, 'prec': 20, 'unit': 1984178036872133935722265637, 'val': 2}
  • id: 2015630
    {'lmfdb_iso': '40656.cd', 'p': 37, 'prec': 20, 'unit': 477809621914161642249821950851, 'val': 2}
  • id: 2015618
    {'lmfdb_iso': '40656.cd', 'p': 41, 'prec': 20, 'unit': 3234715298129408338152405278453, 'val': 2}
  • id: 2015619
    {'lmfdb_iso': '40656.cd', 'p': 43, 'prec': 20, 'unit': 1732197118198331434835631398405, 'val': 2}
  • id: 2015624
    {'lmfdb_iso': '40656.cd', 'p': 53, 'prec': 20, 'unit': 576969165804751881131750861608853, 'val': 2}
  • id: 2015628
    {'lmfdb_iso': '40656.cd', 'p': 59, 'prec': 20, 'unit': 469579720751697026208573764539972, 'val': 2}
  • id: 2015629
    {'lmfdb_iso': '40656.cd', 'p': 61, 'prec': 20, 'unit': 1956297229947970951469320524477959, 'val': 2}
  • id: 2015615
    {'lmfdb_iso': '40656.cd', 'p': 67, 'prec': 20, 'unit': 5537705249202342675934231988208407, 'val': 2}
  • id: 2015617
    {'lmfdb_iso': '40656.cd', 'p': 71, 'prec': 20, 'unit': 58208206086760275763207683269387780, 'val': 2}
  • id: 2015625
    {'lmfdb_iso': '40656.cd', 'p': 73, 'prec': 20, 'unit': 31827096010158115457383707234043755, 'val': 2}
  • id: 2015623
    {'lmfdb_iso': '40656.cd', 'p': 83, 'prec': 20, 'unit': 2535632455254774071886779203331630942, 'val': 2}
  • id: 2015627
    {'lmfdb_iso': '40656.cd', 'p': 89, 'prec': 20, 'unit': 8849154991017636380474394244290801724, 'val': 2}
  • id: 2015614
    {'lmfdb_iso': '40656.cd', 'p': 97, 'prec': 20, 'unit': 9619260633712948271322059371341647959, 'val': 2}