Elliptic curve data - 53040.cc1

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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': '53040u', 'Clabel': '53040u1', 'Cnumber': 1, 'abc_quality': 0.7976428649162433, 'absD': 22913280, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26520, 'ainvs': [0, 1, 0, -356, 2460], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 53040, 'degree': 14336, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.26313712712910653991597441842', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2], 'jinv': [19545784144, 89505], 'lmfdb_iso': '53040.cc', 'lmfdb_label': '53040.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -356, -2460], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '24.12.0-4.b.1.1', '2210.6.0.?', '4420.24.0.?', '26520.48.0.?'], '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': '1.6985909876221301711652730034', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19896099324419033302884699589', 'prec': 107}, 'szpiro_ratio': 2.6879066195098003, '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, 2, 0, 1, 0, -4, 0, 1, 0, -1, 0, -1, 0, 2, 0], 'aplist': [0, 1, -1, 2, -4, 1, -1, 2, 0, 2, 0, -2, 2, -6, 12, 10, -6, -10, 4, 0, 10, -6, 4, -18, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 53040, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '53040.cc', 'trace_hash': 142264849479160824}
• 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': '0.59080205248217113687506428796', 'prec': 103}, 'conductor': 53040, 'gens': [[6, 24, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6985909876221301711652730034', 'prec': 100}], 'lmfdb_label': '53040.cc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.1500416486056978643990235304', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3040827346677305763457162097377035347', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[10, 0, 1]], 'xcoord_integral_points': [6, 10, 19]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '53040.cc1'}
• ec_torsion_growth •

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

  
  
  • id: 2568569
    {'degree': 2, 'field': [-276, -1, 1], 'lmfdb_label': '53040.cc1', 'torsion': [2, 2]}
  • id: 2568570
    {'degree': 4, 'field': [73, -6, -15, 0, 1], 'lmfdb_label': '53040.cc1', 'torsion': [4]}
  • id: 2568573
    {'degree': 8, 'field': [-3888, 0, -4464, 0, 216, 0, 0, 0, 1], 'lmfdb_label': '53040.cc1', 'torsion': [6]}
  • id: 2568571
    {'degree': 8, 'field': [81, 0, -108, 0, -1051, 0, -12, 0, 1], 'lmfdb_label': '53040.cc1', 'torsion': [2, 4]}
  • id: 2568572
    {'degree': 8, 'field': [60516, -5412, 242, -1182, 573, 14, 8, -4, 1], 'lmfdb_label': '53040.cc1', 'torsion': [2, 4]}
  • id: 2568576
    {'degree': 16, 'field': [15116544, 0, 2096222976, 0, -162194400, 0, 1928448, 0, -3146835, 0, 282968, 0, -6198, 0, 0, 0, 1], 'lmfdb_label': '53040.cc1', 'torsion': [2, 6]}
  • id: 2568574
    {'degree': 16, 'field': [609988496, -408767216, 522542904, -244002616, 164384424, -54416964, 24197478, -5453318, 1690461, -220790, 46908, -1578, 354, -70, 30, -8, 1], 'lmfdb_label': '53040.cc1', 'torsion': [4, 4]}
  • id: 2568575
    {'degree': 16, 'field': [4645376649, 606052044, -513080352, 193393224, 61928658, -4463748, -5251008, -2833644, 201463, -14684, 34304, -356, 442, -184, 32, -4, 1], 'lmfdb_label': '53040.cc1', '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: 1272155
    {'conductor': 53040, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '53040.cc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1272156
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '53040.cc1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1272157
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53040.cc1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1272158
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53040.cc1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1272159
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53040.cc1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2016657
    {'adelic_gens': [[26513, 8, 26512, 9], [14286, 1, 6143, 4], [1, 0, 8, 1], [13261, 8, 4, 33], [1, 8, 0, 1], [1, 4, 4, 17], [10616, 3, 5, 2], [17681, 8, 17684, 33], [3, 8, 28, 75], [5, 8, 48, 77], [19889, 26512, 13260, 26519], [20288, 3, 9365, 2]], 'adelic_image': '26520.48.0.?', 'conductor': 53040, 'lmfdb_label': '53040.cc1', 'prime': 0}
  • id: 226859
    {'conductor': 53040, 'elladic_image': '4.6.0.3', 'lmfdb_label': '53040.cc1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2674977
    {'lmfdb_iso': '53040.cc', 'p': 7, 'prec': 20, 'unit': 6659713976624299, 'val': 1}
  • id: 2674982
    {'lmfdb_iso': '53040.cc', 'p': 11, 'prec': 20, 'unit': 47021576211015352789, 'val': 1}
  • id: 2674984
    {'lmfdb_iso': '53040.cc', 'p': 19, 'prec': 20, 'unit': 569394718442385262637774, 'val': 1}
  • id: 2674980
    {'lmfdb_iso': '53040.cc', 'p': 29, 'prec': 20, 'unit': 4589100625372971390340091330, 'val': 1}
  • id: 2674976
    {'lmfdb_iso': '53040.cc', 'p': 37, 'prec': 20, 'unit': 289495073597849662229836642020, 'val': 1}
  • id: 2674978
    {'lmfdb_iso': '53040.cc', 'p': 41, 'prec': 20, 'unit': 2686600472777683211919487127063, 'val': 1}
  • id: 2674979
    {'lmfdb_iso': '53040.cc', 'p': 43, 'prec': 20, 'unit': 3611065549579939620251258885320, 'val': 1}
  • id: 2674988
    {'lmfdb_iso': '53040.cc', 'p': 47, 'prec': 20, 'unit': 58673146400333033152280999806209, 'val': 1}
  • id: 2674985
    {'lmfdb_iso': '53040.cc', 'p': 53, 'prec': 20, 'unit': 571371086623176590128991705525271, 'val': 1}
  • id: 2674983
    {'lmfdb_iso': '53040.cc', 'p': 59, 'prec': 20, 'unit': 865033977989585821495795561527629, 'val': 1}
  • id: 2674989
    {'lmfdb_iso': '53040.cc', 'p': 61, 'prec': 20, 'unit': 6684487437693513744062878337139301, 'val': 1}
  • id: 2674975
    {'lmfdb_iso': '53040.cc', 'p': 67, 'prec': 20, 'unit': 616741420071665406166091758233723, 'val': 1}
  • id: 2674986
    {'lmfdb_iso': '53040.cc', 'p': 73, 'prec': 20, 'unit': 94941023907422447867550151238209037, 'val': 1}
  • id: 2674981
    {'lmfdb_iso': '53040.cc', 'p': 79, 'prec': 20, 'unit': 1005157640663513046492848094274936041, 'val': 1}
  • id: 2674974
    {'lmfdb_iso': '53040.cc', 'p': 83, 'prec': 20, 'unit': 2669413163119678209035052261051818191, 'val': 1}
  • id: 2674987
    {'lmfdb_iso': '53040.cc', 'p': 89, 'prec': 20, 'unit': 2792436296711478501981934513889022290, 'val': 1}
  • id: 2674973
    {'lmfdb_iso': '53040.cc', 'p': 97, 'prec': 20, 'unit': 19707475932048450151536249059215140222, 'val': 1}