Elliptic curve data - 47040.gv2

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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': '47040gv', 'Clabel': '47040gv2', 'Cnumber': 2, 'abc_quality': 0.9794788253190512, 'absD': 385584719501721600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 1, 0, 172415, -11485825], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 47040, 'degree': 516096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0631163634170507419845590676', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 177, 'isogeny_degrees': [1, 2], 'jinv': [53582633, 36450], 'lmfdb_iso': '47040.gv', 'lmfdb_label': '47040.gv2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 55, -43], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '120.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1331739010947054958036356121', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [3, 4, 15680], [5, 6, 9408], [7, 20, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43603701921435220097030367217', 'prec': 107}, 'szpiro_ratio': 4.441646124447688, '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, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 4, 0, 0, 0], 'aplist': [0, 1, 1, 0, 2, 2, 4, 0, -8, 0, -2, -8, 2, -2, 10, 2, -4, -10, 2, 12, -10, -16, -16, -14, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 47040, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '47040.gv', 'trace_hash': 2299816193652260999}
• 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': '0.016143581690757341166806369224', 'prec': 107}, 'conductor': 47040, 'gens': [[95, 2400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1331739010947054958036356121', 'prec': 100}], 'lmfdb_label': '47040.gv2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17045037541228201088187865780', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7264070142705925066805808484456365743', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[65, 0, 1]], 'xcoord_integral_points': [65, 95, 6239]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [2, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '47040.gv2'}
• ec_torsion_growth •

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

  
  
  • id: 2297339
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '47040.gv2', 'torsion': [2, 2]}
  • id: 2297340
    {'degree': 4, 'field': [30, 45, -11, -1, 1], 'lmfdb_label': '47040.gv2', 'torsion': [4]}
  • id: 2297343
    {'degree': 8, 'field': [-588, 0, 98, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '47040.gv2', 'torsion': [6]}
  • id: 2297341
    {'degree': 8, 'field': [400, 0, -10, 0, -99, 0, 32, 0, 1], 'lmfdb_label': '47040.gv2', 'torsion': [2, 4]}
  • id: 2297342
    {'degree': 8, 'field': [529, 0, 108, 0, 40, 0, 12, 0, 1], 'lmfdb_label': '47040.gv2', 'torsion': [2, 4]}
  • id: 2297345
    {'degree': 16, 'field': [294849, 0, 378276, 0, 465472, 0, 278712, 0, -1470, 0, -3332, 0, -252, 0, 24, 0, 1], 'lmfdb_label': '47040.gv2', 'torsion': [2, 6]}
  • id: 2297344
    {'degree': 16, 'field': [518400, 0, 622350, 0, -997515, 0, 152580, 0, 16291, 0, 10646, 0, 1791, 0, -64, 0, 1], 'lmfdb_label': '47040.gv2', 'torsion': [8]}
• 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: 1123630
    {'conductor': 47040, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '47040.gv2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1123631
    {'conductor': 47040, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '47040.gv2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1123632
    {'conductor': 47040, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '47040.gv2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1123633
    {'conductor': 47040, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '47040.gv2', 'prime': 7, '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: 1977694
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [281, 4, 562, 9], [124, 1, 599, 0], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 47040, 'lmfdb_label': '47040.gv2', 'prime': 0}
  • id: 203629
    {'conductor': 47040, 'elladic_image': '2.3.0.1', 'lmfdb_label': '47040.gv2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2359521
    {'lmfdb_iso': '47040.gv', 'p': 11, 'prec': 20, 'unit': 51622468750929919224, 'val': 1}
  • id: 2359526
    {'lmfdb_iso': '47040.gv', 'p': 13, 'prec': 20, 'unit': 1341894544237977305280, 'val': 1}
  • id: 2359528
    {'lmfdb_iso': '47040.gv', 'p': 17, 'prec': 20, 'unit': 195416464091594773234917, 'val': 1}
  • id: 2359533
    {'lmfdb_iso': '47040.gv', 'p': 23, 'prec': 20, 'unit': 55794758083555012746937697, 'val': 1}
  • id: 2359537
    {'lmfdb_iso': '47040.gv', 'p': 31, 'prec': 20, 'unit': 5977270545290153847630658029, 'val': 1}
  • id: 2359522
    {'lmfdb_iso': '47040.gv', 'p': 37, 'prec': 20, 'unit': 137107339250870755951345477487, 'val': 1}
  • id: 2359524
    {'lmfdb_iso': '47040.gv', 'p': 41, 'prec': 20, 'unit': 908523712426384541262648387864, 'val': 1}
  • id: 2359525
    {'lmfdb_iso': '47040.gv', 'p': 43, 'prec': 20, 'unit': 2700407218414426215792655627585, 'val': 1}
  • id: 2359535
    {'lmfdb_iso': '47040.gv', 'p': 47, 'prec': 20, 'unit': 25475296236820025876880301013222, 'val': 1}
  • id: 2359530
    {'lmfdb_iso': '47040.gv', 'p': 53, 'prec': 20, 'unit': 326942915191075069718909272290413, 'val': 1}
  • id: 2359531
    {'lmfdb_iso': '47040.gv', 'p': 59, 'prec': 20, 'unit': 581173424391944384242175711129268, 'val': 1}
  • id: 2359536
    {'lmfdb_iso': '47040.gv', 'p': 61, 'prec': 20, 'unit': 6392870542415441021751811949127070, 'val': 1}
  • id: 2359520
    {'lmfdb_iso': '47040.gv', 'p': 67, 'prec': 20, 'unit': 46423199777986808500043623188633482, 'val': 1}
  • id: 2359523
    {'lmfdb_iso': '47040.gv', 'p': 71, 'prec': 20, 'unit': 138500799741374160914673777720937592, 'val': 1}
  • id: 2359532
    {'lmfdb_iso': '47040.gv', 'p': 73, 'prec': 20, 'unit': 132641416468644105517181787411672073, 'val': 1}
  • id: 2359527
    {'lmfdb_iso': '47040.gv', 'p': 79, 'prec': 20, 'unit': 476583194019319535164608138054342499, 'val': 1}
  • id: 2359529
    {'lmfdb_iso': '47040.gv', 'p': 83, 'prec': 20, 'unit': 779167316719585428807009718028964619, 'val': 1}
  • id: 2359534
    {'lmfdb_iso': '47040.gv', 'p': 89, 'prec': 20, 'unit': 277305566927210672597277948178194385, 'val': 1}
  • id: 2359519
    {'lmfdb_iso': '47040.gv', 'p': 97, 'prec': 20, 'unit': 55456396714255267013885415699871567006, 'val': 1}