Elliptic curve data - 70070.c2

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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': '70070f', 'Clabel': '70070f1', 'Cnumber': 1, 'abc_quality': 0.8703475134803965, 'absD': 1119792593920, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 0, 1, -6739, -219474], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 70070, 'degree': 138240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0866793089551172968769980744', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [-287626699801, 9518080], 'lmfdb_iso': '70070.c', 'lmfdb_label': '70070.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -137, 581], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '110.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2258409165397511479004562577', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2695], [5, 6, 7007], [7, 26, 1430], [11, 12, 6370], [13, 14, 5390]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11372423442746064432432170268', 'prec': 103}, 'szpiro_ratio': 3.4162537865979514, '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, -2, 1, -1, 2, 0, -1, 1, 1, -1, -2, 1, 0, 2, 1, -2, -1, 0, -1], 'aplist': [-1, -2, -1, 0, -1, 1, -2, 0, 0, 8, -8, -2, 0, 4, 6, -8, -4, 8, 8, -8, -10, -4, -4, 10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 70070, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '70070.c', 'trace_hash': 880469102684004145}
• 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': '0.11379478118107671486071498323', 'prec': 103}, 'conductor': 70070, 'gens': [[186, 2136, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2258409165397511479004562577', 'prec': 100}], 'lmfdb_label': '70070.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26295633296285885460059655409', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3411958606879269178692011951315110687', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[95, -48, 1]], 'xcoord_integral_points': [95, 186, 319]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [2, 0], '17': [3, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '70070.c2'}
• ec_torsion_growth •

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

  
  
  • id: 3330014
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '70070.c2', 'torsion': [2, 2]}
  • id: 3330015
    {'degree': 4, 'field': [-55, 170, 13, -2, 1], 'lmfdb_label': '70070.c2', 'torsion': [4]}
  • id: 3330018
    {'degree': 8, 'field': [-16950, -13005, -49866, -21797, -425, 145, -35, -2, 1], 'lmfdb_label': '70070.c2', 'torsion': [6]}
  • id: 3330016
    {'degree': 8, 'field': [115336, 155096, 76350, 17254, 1449, -236, -45, -4, 1], 'lmfdb_label': '70070.c2', 'torsion': [2, 4]}
  • id: 3330017
    {'degree': 8, 'field': [459551, 136864, 38116, 5824, 1649, -364, 78, 0, 1], 'lmfdb_label': '70070.c2', 'torsion': [2, 4]}
  • id: 3330019
    {'degree': 16, 'field': [28170467068, -76468902176, 73525129888, -21094210752, -8701747338, 4224722032, 385238480, -260313344, -4777109, 6920872, -515984, -129984, 19298, 1792, -236, -8, 1], 'lmfdb_label': '70070.c2', 'torsion': [8]}
  • id: 3330020
    {'degree': 16, 'field': [2149330916096, -643387510360, 372719724211, -67977442458, 18025001344, -3709098506, 1080722251, -263746402, 44712801, -5079238, -78061, 41758, 1841, -318, 44, -4, 1], 'lmfdb_label': '70070.c2', '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: 1697038
    {'conductor': 70070, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '70070.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1697039
    {'conductor': 70070, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '70070.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1697040
    {'conductor': 70070, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '70070.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1697041
    {'conductor': 70070, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '70070.c2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1697042
    {'conductor': 70070, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '70070.c2', 'prime': 13, '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: 2127577
    {'adelic_gens': [[1, 0, 4, 1], [5717, 4, 5716, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2641, 4, 5282, 9], [2861, 4, 2, 9], [4162, 1, 3639, 0], [3434, 1, 1143, 0], [3577, 2146, 2144, 3575]], 'adelic_image': '5720.12.0.?', 'conductor': 70070, 'lmfdb_label': '70070.c2', 'prime': 0}
  • id: 292129
    {'conductor': 70070, 'elladic_image': '2.3.0.1', 'lmfdb_label': '70070.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3589347
    {'lmfdb_iso': '70070.c', 'p': 17, 'prec': 20, 'unit': 12683138289068130753543, 'val': 2}
  • id: 3589345
    {'lmfdb_iso': '70070.c', 'p': 29, 'prec': 20, 'unit': 1787253948772705430142487444, 'val': 1}
  • id: 3589354
    {'lmfdb_iso': '70070.c', 'p': 31, 'prec': 20, 'unit': 16013927134330308015154095670, 'val': 1}
  • id: 3589341
    {'lmfdb_iso': '70070.c', 'p': 37, 'prec': 20, 'unit': 281073123227669533228064692686, 'val': 1}
  • id: 3589344
    {'lmfdb_iso': '70070.c', 'p': 43, 'prec': 20, 'unit': 10362386867482357109866134980731, 'val': 1}
  • id: 3589352
    {'lmfdb_iso': '70070.c', 'p': 47, 'prec': 20, 'unit': 52329212730779253733675889877517, 'val': 1}
  • id: 3589349
    {'lmfdb_iso': '70070.c', 'p': 53, 'prec': 20, 'unit': 34126567475205977680538761153078, 'val': 1}
  • id: 3589350
    {'lmfdb_iso': '70070.c', 'p': 59, 'prec': 20, 'unit': 2022363475943623169735120513843733, 'val': 1}
  • id: 3589353
    {'lmfdb_iso': '70070.c', 'p': 61, 'prec': 20, 'unit': 637395889077576989853982237965737, 'val': 1}
  • id: 3589340
    {'lmfdb_iso': '70070.c', 'p': 67, 'prec': 20, 'unit': 6069100655607622797192915687590685, 'val': 1}
  • id: 3589342
    {'lmfdb_iso': '70070.c', 'p': 71, 'prec': 20, 'unit': 111513749927364914141768148972608606, 'val': 1}
  • id: 3589343
    {'lmfdb_iso': '70070.c', 'p': 73, 'prec': 20, 'unit': 200099027622375026969508472654925521, 'val': 1}
  • id: 3589346
    {'lmfdb_iso': '70070.c', 'p': 79, 'prec': 20, 'unit': 369842892336901778622177143123837647, 'val': 1}
  • id: 3589348
    {'lmfdb_iso': '70070.c', 'p': 83, 'prec': 20, 'unit': 1430540345732042725918752318409837591, 'val': 1}
  • id: 3589351
    {'lmfdb_iso': '70070.c', 'p': 89, 'prec': 20, 'unit': 95830569741551758180526553061705569, 'val': 1}
  • id: 3589339
    {'lmfdb_iso': '70070.c', 'p': 97, 'prec': 20, 'unit': 44128818456349142232390762091091377114, 'val': 1}