Elliptic curve data - 34914.k1

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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': '34914s', 'Clabel': '34914s2', 'Cnumber': 2, 'abc_quality': 1.0411413669604879, 'absD': 116029360568512262437632, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 276, 'ainvs': [1, 0, 1, -15789868, 17736568682], 'analytic_rank': 2, 'bad_primes': [2, 3, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 34914, 'degree': 8110080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1340693312858218306881936659', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [2940980566145956489, 783792101714688], 'lmfdb_iso': '34914.k', 'lmfdb_label': '34914.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -29849, -1460356], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '92.6.0.?', '276.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 20, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.2197973497667533178670462788', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5663222233212469852848172500', 'prec': 100}, 'szpiro_ratio': 5.86371593041654, '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, -4, -1, -2, -1, 1, 4, 1, 1, -6, 2, -4, 1, 0, -1, -6, -4], 'aplist': [-1, 1, -4, -2, 1, -6, 0, -6, 0, 2, -4, -10, 10, 2, 8, 0, -4, 14, -10, -8, -14, 10, -12, -12, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 34914, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '34914.k', 'trace_hash': 2011902912462277975}
• 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': '0.0018957539390154055391790552124', 'prec': 110}, 'conductor': 34914, 'gens': [[550, 95738, 1], [913, 63431, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.78042941029466126948668373525', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.5649513322921892538911161489', 'prec': 100}], 'lmfdb_label': '34914.k1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.098172171431195903212226513785', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.7480074175657665666407870984327419588', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[4983, -4987, 2]], 'xcoord_integral_points': [-3839, -1796, 33, 550, 913, 4906, 6369, 17248, 34705, 192577]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [3, 0], '5': [2, 0], '7': [2, 0], '11': [3, 0], '13': [2, 0], '17': [2, 2, 0], '19': [2, 0], '23': 'a', '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '34914.k1'}
• ec_torsion_growth •

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

  
  
  • id: 1734325
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '34914.k1', 'torsion': [2, 2]}
  • id: 1734326
    {'degree': 4, 'field': [4, 2, 2, -1, 1], 'lmfdb_label': '34914.k1', 'torsion': [4]}
  • id: 1734329
    {'degree': 8, 'field': [-14283, 0, -21528, 0, -414, 0, 0, 0, 1], 'lmfdb_label': '34914.k1', 'torsion': [6]}
  • id: 1734327
    {'degree': 8, 'field': [144, 72, 126, -126, 49, -6, -4, 0, 1], 'lmfdb_label': '34914.k1', 'torsion': [2, 4]}
  • id: 1734328
    {'degree': 8, 'field': [15037, 3336, 8, 1380, 513, -72, -46, 0, 1], 'lmfdb_label': '34914.k1', 'torsion': [2, 4]}
  • id: 1734330
    {'degree': 16, 'field': [20736, 0, 6912, 0, 14400, 0, 12816, 0, 5379, 0, 1068, 0, 100, 0, 4, 0, 1], 'lmfdb_label': '34914.k1', 'torsion': [8]}
  • id: 1734331
    {'degree': 16, 'field': [488810848, 140122736, -465663628, -50836864, 181325664, -6595312, -32476448, 4004392, 2504184, -335720, -88402, -1708, 4754, -42, -43, -8, 1], 'lmfdb_label': '34914.k1', '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: 821023
    {'conductor': 34914, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '34914.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 821024
    {'conductor': 34914, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '34914.k1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 821025
    {'conductor': 34914, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '34914.k1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 821026
    {'conductor': 34914, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '34914.k1', 'prime': 23, '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: 1897498
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [97, 4, 194, 9], [273, 4, 272, 5], [208, 73, 69, 208], [1, 0, 4, 1], [3, 4, 8, 11], [94, 1, 91, 0]], 'adelic_image': '276.12.0.?', 'conductor': 34914, 'lmfdb_label': '34914.k1', 'prime': 0}
  • id: 155372
    {'conductor': 34914, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34914.k1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1710831
    {'lmfdb_iso': '34914.k', 'p': 5, 'prec': 20, 'unit': 41679517289386, 'val': 0}
  • id: 1710832
    {'lmfdb_iso': '34914.k', 'p': 7, 'prec': 20, 'unit': 8036733549962414, 'val': 2}
  • id: 1710837
    {'lmfdb_iso': '34914.k', 'p': 13, 'prec': 20, 'unit': 162956107712714297929, 'val': 2}
  • id: 1710840
    {'lmfdb_iso': '34914.k', 'p': 19, 'prec': 20, 'unit': 666614183002604828865857, 'val': 2}
  • id: 1710836
    {'lmfdb_iso': '34914.k', 'p': 29, 'prec': 20, 'unit': 4374522507154641811835034, 'val': 2}
  • id: 1710833
    {'lmfdb_iso': '34914.k', 'p': 31, 'prec': 20, 'unit': 14771825064531005260725004991, 'val': 2}
  • id: 1710846
    {'lmfdb_iso': '34914.k', 'p': 37, 'prec': 20, 'unit': 273675949399982840713220974249, 'val': 2}
  • id: 1710834
    {'lmfdb_iso': '34914.k', 'p': 41, 'prec': 20, 'unit': 1171510137873938782334707469192, 'val': 2}
  • id: 1710835
    {'lmfdb_iso': '34914.k', 'p': 43, 'prec': 20, 'unit': 2051714921583671327967692077220, 'val': 2}
  • id: 1710844
    {'lmfdb_iso': '34914.k', 'p': 47, 'prec': 20, 'unit': 34521753988960110495721677176204, 'val': 2}
  • id: 1710839
    {'lmfdb_iso': '34914.k', 'p': 59, 'prec': 20, 'unit': 2694299673904938865242727486898317, 'val': 2}
  • id: 1710845
    {'lmfdb_iso': '34914.k', 'p': 61, 'prec': 20, 'unit': 840071411751143524661487122324028, 'val': 2}
  • id: 1710830
    {'lmfdb_iso': '34914.k', 'p': 67, 'prec': 20, 'unit': 25973251651697384082055806173894019, 'val': 2}
  • id: 1710843
    {'lmfdb_iso': '34914.k', 'p': 71, 'prec': 20, 'unit': 126017226091706153926307523263025058, 'val': 2}
  • id: 1710841
    {'lmfdb_iso': '34914.k', 'p': 73, 'prec': 20, 'unit': 252894047113522220439702577833322862, 'val': 2}
  • id: 1710838
    {'lmfdb_iso': '34914.k', 'p': 79, 'prec': 20, 'unit': 1094776428722120779259831558118317187, 'val': 2}
  • id: 1710829
    {'lmfdb_iso': '34914.k', 'p': 83, 'prec': 20, 'unit': 1041494462172289528158104364537818651, 'val': 2}
  • id: 1710842
    {'lmfdb_iso': '34914.k', 'p': 89, 'prec': 20, 'unit': 3572868963494412178878264162083245748, 'val': 2}
  • id: 1710828
    {'lmfdb_iso': '34914.k', 'p': 97, 'prec': 20, 'unit': 11177045064697505760765870095257702275, 'val': 2}