Elliptic curve data - 40560.c1

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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': '40560d', 'Clabel': '40560d1', 'Cnumber': 1, 'abc_quality': 0.8948010755584808, 'absD': 487932468192000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, -1, 0, -17801, -1395915], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 40560, 'degree': 161280, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5170766353784422162396676437', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [-504871936, 394875], 'lmfdb_iso': '40560.c', 'lmfdb_label': '40560.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -105, 603], 'min_quad_twist_disc': -52, 'modell_images': [], 'modm_images': ['390.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4879066119914529988021606948', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22749616372562302473189749139', 'prec': 107}, 'szpiro_ratio': 3.9422837813481695, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 1, 0, -3, 0, 0, 0, 1, 0, -1, 0, -6, 0], 'aplist': [0, -1, -1, -3, -3, 0, -1, -6, 5, -6, 2, -7, -3, 8, -2, -1, 0, -15, 12, 5, 6, 13, 12, -1, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 40560, 'isogeny_matrix': [[1]], 'lmfdb_iso': '40560.c', 'trace_hash': 660005669735944595}
• 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': '0.048115386336944616562312875232', 'prec': 107}, 'conductor': 40560, 'gens': [[724, 19097, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4879066119914529988021606948', 'prec': 100}], 'lmfdb_label': '40560.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19993044263110714944239542908', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7893548511656659907518020596250675648', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [724]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [5, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '40560.c1'}
• ec_torsion_growth •

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

  
  
  • id: 1992983
    {'degree': 3, 'field': [-5, -1, -1, 1], 'lmfdb_label': '40560.c1', 'torsion': [2]}
  • id: 1992984
    {'degree': 6, 'field': [780, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '40560.c1', 'torsion': [2, 2]}
  • id: 1992985
    {'degree': 8, 'field': [-507, 0, 364, 0, -78, 0, 0, 0, 1], 'lmfdb_label': '40560.c1', 'torsion': [3]}
  • id: 1992986
    {'degree': 12, 'field': [-117, 370, -490, 228, -123, 236, -104, 4, -7, 18, 6, -4, 1], 'lmfdb_label': '40560.c1', 'torsion': [4]}
• 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: 959503
    {'conductor': 40560, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '40560.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 959504
    {'conductor': 40560, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '40560.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 959505
    {'conductor': 40560, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '40560.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 959506
    {'conductor': 40560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '40560.c1', 'prime': 13, '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

  
  {'adelic_gens': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 40560, 'lmfdb_label': '40560.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 2009491
    {'lmfdb_iso': '40560.c', 'p': 7, 'prec': 20, 'unit': 5733357510140682, 'val': 1}
  • id: 2009496
    {'lmfdb_iso': '40560.c', 'p': 11, 'prec': 20, 'unit': 15538717477222495934, 'val': 1}
  • id: 2009497
    {'lmfdb_iso': '40560.c', 'p': 17, 'prec': 20, 'unit': 224067051161871605070372, 'val': 1}
  • id: 2009498
    {'lmfdb_iso': '40560.c', 'p': 19, 'prec': 20, 'unit': 1525261741591456992570946, 'val': 1}
  • id: 2009501
    {'lmfdb_iso': '40560.c', 'p': 23, 'prec': 20, 'unit': 51221760758336064460151154, 'val': 1}
  • id: 2009494
    {'lmfdb_iso': '40560.c', 'p': 29, 'prec': 20, 'unit': 1547914695382498087304251750, 'val': 1}
  • id: 2009506
    {'lmfdb_iso': '40560.c', 'p': 31, 'prec': 20, 'unit': 12822248004315706254683656950, 'val': 1}
  • id: 2009490
    {'lmfdb_iso': '40560.c', 'p': 37, 'prec': 20, 'unit': 366655506752816769812241108790, 'val': 1}
  • id: 2009492
    {'lmfdb_iso': '40560.c', 'p': 41, 'prec': 20, 'unit': 3963066654158512112978157917883, 'val': 1}
  • id: 2009493
    {'lmfdb_iso': '40560.c', 'p': 43, 'prec': 20, 'unit': 1793077099970710394484825869344, 'val': 1}
  • id: 2009495
    {'lmfdb_iso': '40560.c', 'p': 47, 'prec': 20, 'unit': 55361528831282481880811145219512, 'val': 1}
  • id: 2009499
    {'lmfdb_iso': '40560.c', 'p': 53, 'prec': 20, 'unit': 368465031035113564059412024538767, 'val': 1}
  • id: 2009505
    {'lmfdb_iso': '40560.c', 'p': 61, 'prec': 20, 'unit': 5505152470768805786162392894585698, 'val': 1}
  • id: 2009489
    {'lmfdb_iso': '40560.c', 'p': 67, 'prec': 20, 'unit': 11188367964022512172956920858212059, 'val': 1}
  • id: 2009503
    {'lmfdb_iso': '40560.c', 'p': 71, 'prec': 20, 'unit': 30786654359216701018099159797460145, 'val': 1}
  • id: 2009500
    {'lmfdb_iso': '40560.c', 'p': 73, 'prec': 20, 'unit': 236043680949862050051871863406418176, 'val': 1}
  • id: 2009504
    {'lmfdb_iso': '40560.c', 'p': 79, 'prec': 20, 'unit': 492887703897711075427714408645689047, 'val': 1}
  • id: 2009488
    {'lmfdb_iso': '40560.c', 'p': 83, 'prec': 20, 'unit': 1997048261532751597848959080492903912, 'val': 1}
  • id: 2009502
    {'lmfdb_iso': '40560.c', 'p': 89, 'prec': 20, 'unit': 3006086346448959856425087528663278333, 'val': 1}
  • id: 2009487
    {'lmfdb_iso': '40560.c', 'p': 97, 'prec': 20, 'unit': 32232981010606831533967320887788909496, 'val': 1}