Elliptic curve data - 97020.bv2

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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': '97020r', 'Clabel': '97020r2', 'Cnumber': 2, 'abc_quality': 0.8397543784831883, 'absD': 867777926400, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, 0, 0, 1953, 30086], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 97020, 'degree': 122880, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97747993830395714320457232454', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2], 'jinv': [347482224, 366025], 'lmfdb_iso': '97020.bv', 'lmfdb_label': '97020.bv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 17577, -812322], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '40.12.0.bt.1', '84.12.0.?', '88.12.0.?', '440.24.0.?', '840.24.0.?', '1848.24.0.?', '9240.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.7217578405729542819272290155', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24574879150019547886539858486', 'prec': 107}, 'szpiro_ratio': 2.9910257441596713, '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, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 0, 1, 0, -1, 0, -6, -4, -8, -4, -4, -6, 6, -4, -4, -12, -8, -4, -8, 12, -8, -8, -12, -10, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 97020, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '97020.bv', 'trace_hash': 761987313609762761}
• 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': '0.14157015685509073749493493680', 'prec': 103}, 'conductor': 97020, 'gens': [[7, 210, 1], [-13, 50, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.78604705147893249257540146606', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.1949918006687129181084819256', 'prec': 100}], 'lmfdb_label': '97020.bv2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.58811693654214403213040673807', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.151139359982197137545826622282659836', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-14, 0, 1]], 'xcoord_integral_points': [-14, -13, 7, 11, 70, 107, 175, 2527, 12082]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [7, 0], '7': 'a', '11': [2, 0], '13': [2, 2, 0], '17': [2, 0], '19': [4, 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': '97020.bv2'}
• ec_torsion_growth •

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

  
  
  • id: 4512643
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '97020.bv2', 'torsion': [2, 2]}
  • id: 4512644
    {'degree': 4, 'field': [-21, 0, 0, 0, 1], 'lmfdb_label': '97020.bv2', 'torsion': [4]}
  • id: 4512647
    {'degree': 8, 'field': [-1210, -15125, -9680, -1507, 385, 121, -13, -2, 1], 'lmfdb_label': '97020.bv2', 'torsion': [6]}
  • id: 4512646
    {'degree': 8, 'field': [25, 10, 2, -26, 19, -10, 8, -4, 1], 'lmfdb_label': '97020.bv2', 'torsion': [2, 4]}
  • id: 4512645
    {'degree': 8, 'field': [9025, -8900, 3380, -2420, 1114, -148, 68, -4, 1], 'lmfdb_label': '97020.bv2', 'torsion': [2, 4]}
  • id: 4512648
    {'degree': 16, 'field': [225, 20700, 952200, -640260, 218814, 163056, -57768, 48612, -5537, -3952, 1256, -124, 22, -44, 32, -8, 1], 'lmfdb_label': '97020.bv2', 'torsion': [4, 4]}
  • id: 4512649
    {'degree': 16, 'field': [3671056, 0, -13862816, 0, -6329632, 0, -1109504, 0, -115748, 0, 176, 0, 248, 0, 44, 0, 1], 'lmfdb_label': '97020.bv2', 'torsion': [8]}
  • id: 4512650
    {'degree': 16, 'field': [1110483550, -552334750, 535803125, 28212800, -2043360, -14319250, 4573597, 47182, 146283, -110684, 27683, -3358, 863, -168, 44, -8, 1], 'lmfdb_label': '97020.bv2', '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: 2379314
    {'conductor': 97020, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '97020.bv2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2379315
    {'conductor': 97020, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '97020.bv2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2379316
    {'conductor': 97020, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '97020.bv2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2379317
    {'conductor': 97020, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '97020.bv2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2379318
    {'conductor': 97020, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '97020.bv2', 'prime': 11, '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: 2302196
    {'adelic_gens': [[5288, 3, 3917, 9224], [9233, 8, 9232, 9], [2318, 2313, 9197, 2294], [3088, 3, 3037, 9224], [1, 6938, 6930, 1], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2521, 8, 844, 33], [3, 8, 9232, 9219], [5, 2, 7414, 9], [5, 8, 48, 77]], 'adelic_image': '9240.48.1.?', 'conductor': 97020, 'lmfdb_label': '97020.bv2', 'prime': 0}
  • id: 390947
    {'conductor': 97020, 'elladic_image': '4.6.0.4', 'lmfdb_label': '97020.bv2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5045311
    {'lmfdb_iso': '97020.bv', 'p': 17, 'prec': 20, 'unit': 185200936258352364994445, 'val': 2}
  • id: 5045302
    {'lmfdb_iso': '97020.bv', 'p': 19, 'prec': 20, 'unit': 8151512027463067418699, 'val': 3}
  • id: 5045316
    {'lmfdb_iso': '97020.bv', 'p': 23, 'prec': 20, 'unit': 34284627944220080489887706, 'val': 2}
  • id: 5045309
    {'lmfdb_iso': '97020.bv', 'p': 29, 'prec': 20, 'unit': 4962289660985778779094472960, 'val': 2}
  • id: 5045320
    {'lmfdb_iso': '97020.bv', 'p': 31, 'prec': 20, 'unit': 13183888638624388260544690481, 'val': 2}
  • id: 5045305
    {'lmfdb_iso': '97020.bv', 'p': 37, 'prec': 20, 'unit': 365436417321855375285302826534, 'val': 2}
  • id: 5045307
    {'lmfdb_iso': '97020.bv', 'p': 41, 'prec': 20, 'unit': 2438958289591775833734160321575, 'val': 2}
  • id: 5045308
    {'lmfdb_iso': '97020.bv', 'p': 43, 'prec': 20, 'unit': 581762095502912736686978499866, 'val': 2}
  • id: 5045318
    {'lmfdb_iso': '97020.bv', 'p': 47, 'prec': 20, 'unit': 20539830326196974053424145387785, 'val': 2}
  • id: 5045313
    {'lmfdb_iso': '97020.bv', 'p': 53, 'prec': 20, 'unit': 150525149235566063306817063046661, 'val': 2}
  • id: 5045314
    {'lmfdb_iso': '97020.bv', 'p': 59, 'prec': 20, 'unit': 3642691536729688188171586213064721, 'val': 2}
  • id: 5045319
    {'lmfdb_iso': '97020.bv', 'p': 61, 'prec': 20, 'unit': 380205055145809567048378926168396, 'val': 2}
  • id: 5045304
    {'lmfdb_iso': '97020.bv', 'p': 67, 'prec': 20, 'unit': 15660963507568467452313175415115320, 'val': 2}
  • id: 5045306
    {'lmfdb_iso': '97020.bv', 'p': 71, 'prec': 20, 'unit': 105836231981883136032293037420685056, 'val': 2}
  • id: 5045315
    {'lmfdb_iso': '97020.bv', 'p': 73, 'prec': 20, 'unit': 76414236290367707443011672979294113, 'val': 2}
  • id: 5045310
    {'lmfdb_iso': '97020.bv', 'p': 79, 'prec': 20, 'unit': 8945975158958532879315737735417595, 'val': 2}
  • id: 5045312
    {'lmfdb_iso': '97020.bv', 'p': 83, 'prec': 20, 'unit': 566419961162719435086837275990661942, 'val': 2}
  • id: 5045317
    {'lmfdb_iso': '97020.bv', 'p': 89, 'prec': 20, 'unit': 10737575501839501809889464281980726286, 'val': 2}
  • id: 5045303
    {'lmfdb_iso': '97020.bv', 'p': 97, 'prec': 20, 'unit': 20378567279776128341622758434495457937, 'val': 2}