Elliptic curve data - 106134.z2

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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': '106134bc', 'Clabel': '106134bc4', 'Cnumber': 4, 'abc_quality': 1.0101536552434738, 'absD': 4687097164437865958802, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3192, 'ainvs': [1, 0, 1, -7394371, -8411682856], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 106134, 'degree': 7464960, 'elladic_images': ['8.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8972502003409522883911337177', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-8078253774625, 846825858], 'lmfdb_iso': '106134.z', 'lmfdb_label': '106134.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -418, -3610], 'min_quad_twist_disc': 133, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.a.1', '24.24.0.p.1', '84.24.0.?', '168.48.0.?', '228.24.0.?', '399.8.0.?', '456.48.1.?', '798.24.0.?', '1596.48.0.?', '3192.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '56.262357035023774931845924461', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 17689], [3, 4, 35378], [7, 26, 2166], [19, 200, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.45207563623007540583394363003', 'prec': 103}, 'szpiro_ratio': 5.11808080977086, '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, 0, -1, 1, 0, 0, 1, -4, 0, 0, 1, -6, -1, 0, 0], 'aplist': [-1, 1, 0, 0, 0, -4, -6, 0, -6, -6, 2, 4, 6, -4, -6, -6, -12, -14, -8, 0, -14, 10, 12, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 106134, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '106134.z', 'trace_hash': 1446792997603704772}
• 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': '0.0030442509525315221264640313211', 'prec': 110}, 'conductor': 106134, 'gens': [[9454, 870878, 1], [16065883, 64152143875, 18]], 'heights': [{'__RealLiteral__': 0, 'data': '3.8704971323334669714515948993', 'prec': 100}, {'__RealLiteral__': 0, 'data': '14.677921408315496940908660391', 'prec': 100}], 'lmfdb_label': '106134.z2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.045506953134743290994996774845', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.241313779372085702962812580926382577', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[12679, -12683, 2]], 'xcoord_integral_points': [9454]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 1], '3': [3, 1], '5': [2, 2, 0], '7': 'a', '11': [2, 2, 0], '13': [2, 0], '17': [2, 0], '19': 'a', '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': '106134.z2'}
• ec_torsion_growth •

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

  
  
  • id: 4903237
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 2]}
  • id: 4903238
    {'degree': 2, 'field': [100, -1, 1], 'lmfdb_label': '106134.z2', 'torsion': [6]}
  • id: 4903239
    {'degree': 4, 'field': [-392, 0, -35, 0, 1], 'lmfdb_label': '106134.z2', 'torsion': [4]}
  • id: 4903240
    {'degree': 4, 'field': [9606, -204, 205, -2, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 6]}
  • id: 4903241
    {'degree': 6, 'field': [-34593, -5679, 3204, 173, -96, -3, 1], 'lmfdb_label': '106134.z2', 'torsion': [6]}
  • id: 4903244
    {'degree': 8, 'field': [232, -192, 250, -134, 113, -58, 24, -4, 1], 'lmfdb_label': '106134.z2', 'torsion': [12]}
  • id: 4903243
    {'degree': 8, 'field': [15876, 0, 6300, 0, 373, 0, 64, 0, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 4]}
  • id: 4903242
    {'degree': 8, 'field': [167147, 18876, -18926, 48, 107, -160, 58, -4, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 4]}
  • id: 4903245
    {'degree': 12, 'field': [1292450601, 234408366, -216607563, -34882890, 15660990, 2091006, -621695, -63366, 14370, 970, -183, -6, 1], 'lmfdb_label': '106134.z2', 'torsion': [3, 6]}
  • id: 4903246
    {'degree': 12, 'field': [1292942025, 234206370, -216399573, -34894890, 15667020, 2090970, -621683, -63366, 14370, 970, -183, -6, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 6]}
  • id: 4903247
    {'degree': 16, 'field': [20736, 0, -1982954304, 0, 457722468, 0, -50175048, 0, 2340790, 0, -14212, 0, -3525, 0, 38, 0, 1], 'lmfdb_label': '106134.z2', 'torsion': [8]}
  • id: 4903249
    {'degree': 16, 'field': [30816, -58752, -79248, 259344, -56660, -183408, 245568, -210580, 125057, -59260, 23600, -7396, 2082, -420, 80, -8, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 12]}
  • id: 4903248
    {'degree': 16, 'field': [2662238539, -14378136, -45681092, 125402472, -75564480, 14405888, -2904592, -1999656, 993805, -372432, 119164, -26304, 6022, -784, 132, -8, 1], 'lmfdb_label': '106134.z2', 'torsion': [2, 12]}
  • id: 4903250
    {'degree': 18, 'field': [914828140956, 438291063072, 215982558900, -3711877278, -9408878964, -3190441392, 1025952121, 538701321, 108087090, 9658155, 1146879, -301326, -49778, -1200, 1398, 96, 9, -3, 1], 'lmfdb_label': '106134.z2', 'torsion': [18]}
• 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: 2608141
    {'conductor': 106134, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '106134.z2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2608142
    {'conductor': 106134, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '106134.z2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2608143
    {'conductor': 106134, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '106134.z2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2608144
    {'conductor': 106134, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '106134.z2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2360448
    {'adelic_gens': [[2183, 2268, 3066, 839], [2129, 924, 994, 2353], [1, 0, 12, 1], [2290, 1827, 1113, 904], [1, 6, 6, 37], [3181, 12, 3180, 13], [666, 1057, 2261, 1730], [2279, 0, 0, 3191], [1, 12, 0, 1], [11, 2, 3142, 3183]], 'adelic_image': '3192.96.1.?', 'conductor': 106134, 'lmfdb_label': '106134.z2', 'prime': 0}
  • id: 423442
    {'conductor': 106134, 'elladic_image': '8.6.0.5', 'lmfdb_label': '106134.z2', 'modell_image': '2B', 'prime': 2}
  • id: 423443
    {'conductor': 106134, 'elladic_image': '3.4.0.1', 'lmfdb_label': '106134.z2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5530689
    {'lmfdb_iso': '106134.z', 'p': 13, 'prec': 20, 'unit': 228528736525613703590, 'val': 2}
  • id: 5530691
    {'lmfdb_iso': '106134.z', 'p': 17, 'prec': 20, 'unit': 120295560575417964905688, 'val': 2}
  • id: 5530696
    {'lmfdb_iso': '106134.z', 'p': 23, 'prec': 20, 'unit': 47903449415160198976489513, 'val': 2}
  • id: 5530688
    {'lmfdb_iso': '106134.z', 'p': 29, 'prec': 20, 'unit': 4053113500514104725512677951, 'val': 2}
  • id: 5530700
    {'lmfdb_iso': '106134.z', 'p': 31, 'prec': 20, 'unit': 5503035363226849876112581470, 'val': 2}
  • id: 5530685
    {'lmfdb_iso': '106134.z', 'p': 37, 'prec': 20, 'unit': 111048872161189517481131853447, 'val': 2}
  • id: 5530686
    {'lmfdb_iso': '106134.z', 'p': 41, 'prec': 20, 'unit': 3957793987260292160755609729077, 'val': 2}
  • id: 5530687
    {'lmfdb_iso': '106134.z', 'p': 43, 'prec': 20, 'unit': 1775904044392300719472728484089, 'val': 2}
  • id: 5530698
    {'lmfdb_iso': '106134.z', 'p': 47, 'prec': 20, 'unit': 53711993595270962745184932971378, 'val': 2}
  • id: 5530693
    {'lmfdb_iso': '106134.z', 'p': 53, 'prec': 20, 'unit': 290160537472603030249113343209958, 'val': 2}
  • id: 5530694
    {'lmfdb_iso': '106134.z', 'p': 59, 'prec': 20, 'unit': 372050374342779093404738719030339, 'val': 2}
  • id: 5530699
    {'lmfdb_iso': '106134.z', 'p': 61, 'prec': 20, 'unit': 2223298297805369979137501611273469, 'val': 2}
  • id: 5530684
    {'lmfdb_iso': '106134.z', 'p': 67, 'prec': 20, 'unit': 19642346733932191310359320389452412, 'val': 2}
  • id: 5530695
    {'lmfdb_iso': '106134.z', 'p': 73, 'prec': 20, 'unit': 60592015479633393302586404633386125, 'val': 2}
  • id: 5530690
    {'lmfdb_iso': '106134.z', 'p': 79, 'prec': 20, 'unit': 104856046422376863297826874737812513, 'val': 2}
  • id: 5530692
    {'lmfdb_iso': '106134.z', 'p': 83, 'prec': 20, 'unit': 2428955941686459387596523964870812801, 'val': 2}
  • id: 5530697
    {'lmfdb_iso': '106134.z', 'p': 89, 'prec': 20, 'unit': 4726631150568199189849604014610024280, 'val': 2}
  • id: 5530683
    {'lmfdb_iso': '106134.z', 'p': 97, 'prec': 20, 'unit': 43720738932448477311909727378113813341, 'val': 2}