Elliptic curve data - 129600.cd1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '129600ef', 'Clabel': '129600ef3', 'Cnumber': 3, 'abc_quality': 1.1259568215438134, 'absD': 382205952000000, 'adelic_genus': 21, 'adelic_index': 768, 'adelic_level': 2520, 'ainvs': [0, 0, 0, -1723500, 870894000], 'analytic_rank': 2, 'bad_primes': [2, 3, 5], 'class_deg': 21, 'class_size': 4, 'cm': 0, 'conductor': 129600, 'degree': 1161216, 'elladic_images': ['8.2.0.1', '3.4.0.1', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1138078059346083332570680995', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 3, 7, 21], 'jinv': [-189613868625, 128], 'lmfdb_iso': '129600.cd', 'lmfdb_label': '129600.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1077, 13877], 'min_quad_twist_disc': 40, 'modell_images': ['3B', '7B'], 'modm_images': ['3.4.0.a.1', '7.8.0.a.1', '8.2.0.a.1', '21.64.1.a.4', '24.8.0.a.1', '56.16.0.a.1', '60.8.0-3.a.1.4', '63.192.5.e.1', '120.16.0.?', '168.128.5.?', '420.128.1.?', '504.384.21.?', '840.256.5.?', '1260.384.5.?', '2520.768.21.?'], 'nonmax_primes': [2, 3, 7], 'nonmax_rad': 42, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.0901387802801065709316536003', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2025], [3, 6, 160], [5, 14, 5184]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27993806545641466386678236776', 'prec': 107}, 'szpiro_ratio': 4.64595995091191, '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, 0, 0, 0, 0, -2, 0, 0, 0, -3, 0, 2, 0, 0, 0, -3, 0, 1, 0], 'aplist': [0, 0, 0, -2, -3, 2, -3, 1, -6, 6, -4, -4, -9, -1, -6, -12, 3, -8, 5, 12, -11, -4, -12, -6, -5], 'class_deg': 21, 'class_size': 4, 'conductor': 129600, 'isogeny_matrix': [[1, 3, 21, 7], [3, 1, 7, 21], [21, 7, 1, 3], [7, 21, 3, 1]], 'lmfdb_iso': '129600.cd', 'trace_hash': 986052782469114565}
• 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': '0.014587130496014718784220541290', 'prec': 107}, 'conductor': 129600, 'gens': [[774, 768, 1], [760, 100, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.65629204351678152752620246581', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.7571887400372733650240950510', 'prec': 100}], 'lmfdb_label': '129600.cd1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.44282603293034745160819232469', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.585803953959214659415623047082630341', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [-1515, 756, 760, 774, 885, 2310]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [4, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '129600.cd1'}
• ec_torsion_growth •

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

  
  
  • id: 5892602
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [3]}
  • id: 5892603
    {'degree': 3, 'field': [-10, -3, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [2]}
  • id: 5892606
    {'degree': 6, 'field': [-1344000, 0, 44100, 0, -420, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [7]}
  • id: 5892607
    {'degree': 6, 'field': [-1000, 0, 225, 0, 30, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [6]}
  • id: 5892604
    {'degree': 6, 'field': [8, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [2, 2]}
  • id: 5892605
    {'degree': 6, 'field': [750, 0, 300, 0, 30, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [3]}
  • id: 5892608
    {'degree': 12, 'field': [-35216, 65256, -40044, 2170, 15570, -14004, 7128, -2538, 630, -80, 6, -3, 1], 'lmfdb_label': '129600.cd1', 'torsion': [4]}
  • id: 5892610
    {'degree': 12, 'field': [1764, 0, 792, 0, -684, 0, -388, 0, 225, 0, -24, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [2, 6]}
  • id: 5892609
    {'degree': 12, 'field': [62001, 1494, 3771, -10050, 3840, 1374, -359, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '129600.cd1', 'torsion': [3, 3]}
  • id: 5892611
    {'degree': 12, 'field': [164004, 169344, -331956, -157080, 234021, 8988, -43394, 756, 3327, -28, -102, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [21]}
  • id: 5892614
    {'degree': 18, 'field': [-193323695566364, 106419686188992, -13206348374274, -2022132893260, -374691483252, 131423714100, 71455062643, -7044382848, -4607892918, 226171000, 170515437, -4141260, -3710720, 25476, 49401, -24, -354, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [14]}
  • id: 5892613
    {'degree': 18, 'field': [1607644, 5218776, 8208420, 8147616, 5772084, 3092592, 1291182, 416208, 117612, 40972, 19296, 9588, 3048, 84, -192, -48, -12, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [6]}
  • id: 5892612
    {'degree': 18, 'field': [169106031, -584261262, 360660735, 273509352, -265447989, -56217456, 83452959, 5806188, -15033429, -234404, 1666332, -6732, -114792, 918, 4761, -24, -108, 0, 1], 'lmfdb_label': '129600.cd1', 'torsion': [9]}
• 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: 3196104
    {'conductor': 129600, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '129600.cd1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3196105
    {'conductor': 129600, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '129600.cd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 3196106
    {'conductor': 129600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '129600.cd1', 'prime': 5, '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: 2508313
    {'adelic_gens': [[1, 0, 1470, 1], [281, 1400, 1120, 1401], [1, 930, 1050, 1261], [2311, 1050, 735, 211], [503, 0, 0, 2519], [419, 1470, 315, 1469], [2481, 1450, 1960, 201], [1, 720, 0, 1], [1, 1680, 0, 1], [1471, 1290, 420, 2311], [526, 825, 2205, 1681], [505, 2016, 504, 505], [1081, 1410, 0, 1], [1, 0, 1680, 1], [1, 0, 2016, 1], [841, 1680, 840, 1681], [1, 0, 420, 1]], 'adelic_image': '2520.768.21.?', 'conductor': 129600, 'lmfdb_label': '129600.cd1', 'prime': 0}
  • id: 504750
    {'conductor': 129600, 'elladic_image': '8.2.0.1', 'lmfdb_label': '129600.cd1', 'modell_image': '2G', 'prime': 2}
  • id: 504751
    {'conductor': 129600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '129600.cd1', 'modell_image': '3B', 'prime': 3}
  • id: 504752
    {'conductor': 129600, 'elladic_image': '7.8.0.1', 'lmfdb_label': '129600.cd1', 'modell_image': '7B', 'prime': 7}
• ec_padic •

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

  
  
  • id: 6798623
    {'lmfdb_iso': '129600.cd', 'p': 7, 'prec': 20, 'unit': 959649620547239, 'val': 3}
  • id: 6798624
    {'lmfdb_iso': '129600.cd', 'p': 11, 'prec': 20, 'unit': 58644471567387715535, 'val': 2}
  • id: 6798625
    {'lmfdb_iso': '129600.cd', 'p': 13, 'prec': 20, 'unit': 309177249079117828477, 'val': 2}
  • id: 6798626
    {'lmfdb_iso': '129600.cd', 'p': 17, 'prec': 20, 'unit': 61139308741730357312509, 'val': 2}
  • id: 6798627
    {'lmfdb_iso': '129600.cd', 'p': 19, 'prec': 20, 'unit': 46105594024439238667341, 'val': 0}
  • id: 6798628
    {'lmfdb_iso': '129600.cd', 'p': 23, 'prec': 20, 'unit': 30430060122424862338535284, 'val': 2}
  • id: 6798629
    {'lmfdb_iso': '129600.cd', 'p': 29, 'prec': 20, 'unit': 2253522890577979846518999764, 'val': 2}
  • id: 6798630
    {'lmfdb_iso': '129600.cd', 'p': 31, 'prec': 20, 'unit': 15989634136678385116113700719, 'val': 2}
  • id: 6798631
    {'lmfdb_iso': '129600.cd', 'p': 37, 'prec': 20, 'unit': 213635184194629337542645305140, 'val': 2}
  • id: 6798632
    {'lmfdb_iso': '129600.cd', 'p': 41, 'prec': 20, 'unit': 1943082695836111349104375068636, 'val': 2}
  • id: 6798633
    {'lmfdb_iso': '129600.cd', 'p': 43, 'prec': 20, 'unit': 5038917822176042273440909759442, 'val': 2}
  • id: 6798634
    {'lmfdb_iso': '129600.cd', 'p': 47, 'prec': 20, 'unit': 38575829898255609906941340700216, 'val': 2}
  • id: 6798635
    {'lmfdb_iso': '129600.cd', 'p': 53, 'prec': 20, 'unit': 146585550537366660113660222690834, 'val': 2}
  • id: 6798636
    {'lmfdb_iso': '129600.cd', 'p': 59, 'prec': 20, 'unit': 3434040443683445244819875469095269, 'val': 2}
  • id: 6798637
    {'lmfdb_iso': '129600.cd', 'p': 61, 'prec': 20, 'unit': 411374368813874228047033368324313, 'val': 2}
  • id: 6798638
    {'lmfdb_iso': '129600.cd', 'p': 67, 'prec': 20, 'unit': 16728658189349780862164534818770032, 'val': 2}
  • id: 6798639
    {'lmfdb_iso': '129600.cd', 'p': 71, 'prec': 20, 'unit': 4439682600255982589661341021253953, 'val': 2}
  • id: 6798640
    {'lmfdb_iso': '129600.cd', 'p': 73, 'prec': 20, 'unit': 1108462807086194716752906340998112, 'val': 3}
  • id: 6798641
    {'lmfdb_iso': '129600.cd', 'p': 79, 'prec': 20, 'unit': 1073697457650740826837404047331028602, 'val': 2}
  • id: 6798642
    {'lmfdb_iso': '129600.cd', 'p': 83, 'prec': 20, 'unit': 2120494509914724013291986703822733840, 'val': 2}
  • id: 6798643
    {'lmfdb_iso': '129600.cd', 'p': 89, 'prec': 20, 'unit': 3882549610442235974393328326415978185, 'val': 2}
  • id: 6798644
    {'lmfdb_iso': '129600.cd', 'p': 97, 'prec': 20, 'unit': 32481583335972673948756103004450186851, 'val': 2}