Elliptic curve data - 53040.m1

Formats: - HTML - YAML - JSON - 2024-04-18T02:23:34.675072

• 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': '53040a', 'Clabel': '53040a1', 'Cnumber': 1, 'abc_quality': 0.9539622736558061, 'absD': 4253770235520000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1768, 'ainvs': [0, -1, 0, -281016, -57158784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 53040, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8927640019782111168615620954', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [2396726313900986596, 4154072495625], 'lmfdb_iso': '53040.m', 'lmfdb_label': '53040.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -281016, 57158784], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '34.6.0.a.1', '104.6.0.?', '1768.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5943691185491393957498794703', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3151413515115900256805353275', 'prec': 100}, 'szpiro_ratio': 4.5273467564, '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, -1, 0, 1, 0, -1, 0, 8, 0], 'aplist': [0, -1, -1, 0, -2, -1, -1, 8, -6, 0, 4, 2, 4, 4, 0, -6, -4, 8, -8, 4, 0, -10, -8, 6, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 53040, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '53040.m', 'trace_hash': 496666391300092807}
• 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': '0.022696875572263553919831397041', 'prec': 107}, 'conductor': 53040, 'gens': [[-314, 150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5943691185491393957498794703', 'prec': 100}], 'lmfdb_label': '53040.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20737761596269317150522701936', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3041126618556337838755395374919082388', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-296, 0, 1]], 'xcoord_integral_points': [-314, -296]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '53040.m1'}
• ec_torsion_growth •

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

  
  
  • id: 2568046
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '53040.m1', 'torsion': [2, 2]}
  • id: 2568047
    {'degree': 4, 'field': [153, 0, 14, 0, 1], 'lmfdb_label': '53040.m1', 'torsion': [4]}
  • id: 2568050
    {'degree': 8, 'field': [-1875, 0, 700, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '53040.m1', 'torsion': [6]}
  • id: 2568048
    {'degree': 8, 'field': [64, 248, -366, -421, 125, 44, -18, -1, 1], 'lmfdb_label': '53040.m1', 'torsion': [2, 4]}
  • id: 2568049
    {'degree': 8, 'field': [55592, -9856, 10356, -1012, 537, -40, 18, -4, 1], 'lmfdb_label': '53040.m1', 'torsion': [2, 4]}
  • id: 2568051
    {'degree': 16, 'field': [1353114, -10028600, 28051460, -33797784, 12211674, 3104704, 2895096, -2841880, 81467, 374360, -31136, -22296, 2442, 560, -60, -8, 1], 'lmfdb_label': '53040.m1', 'torsion': [8]}
  • id: 2568052
    {'degree': 16, 'field': [1932836, -882728, -659084, 4991168, -7060024, 4910136, -706796, -766696, 154577, 23624, -4056, 176, -454, 168, -4, -8, 1], 'lmfdb_label': '53040.m1', '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: 1271905
    {'conductor': 53040, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '53040.m1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1271906
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '53040.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1271907
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '53040.m1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1271908
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '53040.m1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1271909
    {'conductor': 53040, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53040.m1', '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: 2016740
    {'adelic_gens': [[210, 1, 1663, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1765, 4, 1764, 5], [225, 1548, 1104, 663], [1, 0, 4, 1], [1497, 4, 1226, 9], [3, 4, 8, 11], [885, 4, 2, 9]], 'adelic_image': '1768.12.0.?', 'conductor': 53040, 'lmfdb_label': '53040.m1', 'prime': 0}
  • id: 226931
    {'conductor': 53040, 'elladic_image': '2.3.0.1', 'lmfdb_label': '53040.m1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2674803
    {'lmfdb_iso': '53040.m', 'p': 11, 'prec': 20, 'unit': 35235046632808242325, 'val': 1}
  • id: 2674804
    {'lmfdb_iso': '53040.m', 'p': 19, 'prec': 20, 'unit': 960160668172957653790491, 'val': 1}
  • id: 2674806
    {'lmfdb_iso': '53040.m', 'p': 23, 'prec': 20, 'unit': 61376979338091889870477109, 'val': 1}
  • id: 2674810
    {'lmfdb_iso': '53040.m', 'p': 31, 'prec': 20, 'unit': 8600878795901956388009442686, 'val': 1}
  • id: 2674798
    {'lmfdb_iso': '53040.m', 'p': 37, 'prec': 20, 'unit': 1181257765084799364693290911, 'val': 2}
  • id: 2674800
    {'lmfdb_iso': '53040.m', 'p': 41, 'prec': 20, 'unit': 2465881168722391672109839719068, 'val': 1}
  • id: 2674801
    {'lmfdb_iso': '53040.m', 'p': 43, 'prec': 20, 'unit': 5400604449000213932041504115044, 'val': 1}
  • id: 2674805
    {'lmfdb_iso': '53040.m', 'p': 53, 'prec': 20, 'unit': 185027018271178355354223183673520, 'val': 1}
  • id: 2674808
    {'lmfdb_iso': '53040.m', 'p': 59, 'prec': 20, 'unit': 1333794659837782079432170318036014, 'val': 1}
  • id: 2674809
    {'lmfdb_iso': '53040.m', 'p': 61, 'prec': 20, 'unit': 5210450687296899818751947474906221, 'val': 1}
  • id: 2674797
    {'lmfdb_iso': '53040.m', 'p': 67, 'prec': 20, 'unit': 3480969057698943752902958778660333, 'val': 1}
  • id: 2674799
    {'lmfdb_iso': '53040.m', 'p': 71, 'prec': 20, 'unit': 145315187971836016950271504763323935, 'val': 1}
  • id: 2674802
    {'lmfdb_iso': '53040.m', 'p': 79, 'prec': 20, 'unit': 125140868363615676777111466271564237, 'val': 1}
  • id: 2674796
    {'lmfdb_iso': '53040.m', 'p': 83, 'prec': 20, 'unit': 730963757347511454257115302376650891, 'val': 1}
  • id: 2674807
    {'lmfdb_iso': '53040.m', 'p': 89, 'prec': 20, 'unit': 1542605131189440740813258530034202082, 'val': 1}
  • id: 2674795
    {'lmfdb_iso': '53040.m', 'p': 97, 'prec': 20, 'unit': 39279909355184729362096482624357434696, 'val': 1}