Elliptic curve data - 5184.y1

Formats: - HTML - YAML - JSON - 2023-09-25T09:03:48.106621

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5184j', 'Clabel': '5184j1', 'Cnumber': 1, 'absD': 764411904, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 24, 'ainvs': [0, 0, 0, -396, 3312], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 5184, 'degree': 2304, 'elladic_images': ['4.8.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44191428489732862143205745002', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1, 3], 'jinv': [-35937, 4], 'lmfdb_iso': '5184.y', 'lmfdb_label': '5184.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6, 8], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.8.0.b.1', '12.64.1.b.2', '24.128.1-12.b.2.1'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67061351675807132264188622596', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1471126302766441883914133506', 'prec': 103}, '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, 0, 0, 3, 0, -4, 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 0, 4, 0], 'aplist': [0, 0, 3, -4, 0, 1, -3, 4, 0, -9, -4, 1, 6, -8, -12, 6, 0, 1, 4, -12, 11, -16, 12, -3, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 5184, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '5184.y', 'trace_hash': 674256895858923014}
• 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': '0.41319792241165600436079022952', 'prec': 103}, 'conductor': 5184, 'gens': [[-2, 64, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.67061351675807132264188622596', 'prec': 103}], 'lmfdb_label': '5184.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5540236919645916214334348992', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1685971727749461213521675522394010096', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-2, 13]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': [1, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5184.y1'}
• ec_torsion_growth •

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

  
  
  • id: 270736
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [3]}
  • id: 270737
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [2]}
  • id: 270739
    {'degree': 6, 'field': [-6, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [4]}
  • id: 270742
    {'degree': 6, 'field': [-2, 0, 9, 0, 6, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [6]}
  • id: 270738
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [2, 2]}
  • id: 270740
    {'degree': 6, 'field': [6, 0, 9, 0, 6, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [4]}
  • id: 270741
    {'degree': 6, 'field': [6, 0, 12, 0, 6, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [3]}
  • id: 270746
    {'degree': 12, 'field': [1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [12]}
  • id: 270747
    {'degree': 12, 'field': [4, 0, 18, 0, 93, 0, -58, 0, 27, 0, -6, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [12]}
  • id: 270744
    {'degree': 12, 'field': [4, 0, 24, 0, 60, 0, 44, 0, 0, 0, -6, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [3, 3]}
  • id: 270743
    {'degree': 12, 'field': [144, 0, 0, 0, 225, 0, 0, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [4, 4]}
  • id: 270745
    {'degree': 12, 'field': [256, 0, 0, 0, -111, 0, 0, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [2, 6]}
  • id: 270748
    {'degree': 18, 'field': [-32, 0, 288, 0, -648, 0, 372, 0, -1296, 0, 324, 0, -870, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [9]}
  • id: 270749
    {'degree': 18, 'field': [24, 0, -144, 0, 360, 0, -420, 0, 216, 0, 36, 0, -78, 0, 48, 0, -12, 0, 1], 'lmfdb_label': '5184.y1', 'torsion': [12]}
• 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: 100869
    {'conductor': 5184, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '5184.y1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 100870
    {'conductor': 5184, 'conductor_valuation': 4, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '5184.y1', 'prime': 3, 'reduction_type': 0, '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: 1697851
    {'adelic_gens': [[1, 12, 0, 1], [13, 12, 12, 13], [15, 20, 16, 19], [1, 9, 9, 10], [3, 4, 4, 3], [1, 0, 12, 1], [1, 9, 0, 7], [11, 0, 0, 23]], 'adelic_image': '24.128.1.?', 'conductor': 5184, 'lmfdb_label': '5184.y1', 'prime': 0}
  • id: 25786
    {'conductor': 5184, 'elladic_image': '4.8.0.2', 'lmfdb_label': '5184.y1', 'modell_image': '2G', 'prime': 2}
  • id: 25787
    {'conductor': 5184, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5184.y1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 192065
    {'lmfdb_iso': '5184.y', 'p': 5, 'prec': 20, 'unit': 1078680858291, 'val': 2}
  • id: 192066
    {'lmfdb_iso': '5184.y', 'p': 7, 'prec': 20, 'unit': 9189264545794254, 'val': 1}
  • id: 192071
    {'lmfdb_iso': '5184.y', 'p': 13, 'prec': 20, 'unit': 12289739683628130314611, 'val': -1}
  • id: 192073
    {'lmfdb_iso': '5184.y', 'p': 17, 'prec': 20, 'unit': 128895660718658406280111, 'val': 1}
  • id: 192074
    {'lmfdb_iso': '5184.y', 'p': 19, 'prec': 20, 'unit': 262530356789713708861347, 'val': 1}
  • id: 192070
    {'lmfdb_iso': '5184.y', 'p': 29, 'prec': 20, 'unit': 1827923083038679142043724556, 'val': 1}
  • id: 192067
    {'lmfdb_iso': '5184.y', 'p': 31, 'prec': 20, 'unit': 5265552633486910068471530529, 'val': 1}
  • id: 192081
    {'lmfdb_iso': '5184.y', 'p': 37, 'prec': 20, 'unit': 21745308438972311902897205060397, 'val': -1}
  • id: 192068
    {'lmfdb_iso': '5184.y', 'p': 41, 'prec': 20, 'unit': 1077492135832931581330983291096, 'val': 1}
  • id: 192069
    {'lmfdb_iso': '5184.y', 'p': 43, 'prec': 20, 'unit': 6558083277183741129589711533133, 'val': 1}
  • id: 192072
    {'lmfdb_iso': '5184.y', 'p': 47, 'prec': 20, 'unit': 26738620331591452448099496236653, 'val': 1}
  • id: 192075
    {'lmfdb_iso': '5184.y', 'p': 53, 'prec': 20, 'unit': 198272340157889503328533329762923, 'val': 1}
  • id: 192080
    {'lmfdb_iso': '5184.y', 'p': 61, 'prec': 20, 'unit': 213469461746184032208918442230057620, 'val': -1}
  • id: 192064
    {'lmfdb_iso': '5184.y', 'p': 67, 'prec': 20, 'unit': 23736572615408370424728856997479269, 'val': 1}
  • id: 192078
    {'lmfdb_iso': '5184.y', 'p': 71, 'prec': 20, 'unit': 1838448639694658267067309042638472, 'val': 1}
  • id: 192076
    {'lmfdb_iso': '5184.y', 'p': 73, 'prec': 20, 'unit': 242445953852535032315390439718212465, 'val': 1}
  • id: 192079
    {'lmfdb_iso': '5184.y', 'p': 79, 'prec': 20, 'unit': 503313164263577601992022371605274659, 'val': 1}
  • id: 192063
    {'lmfdb_iso': '5184.y', 'p': 83, 'prec': 20, 'unit': 761635416895604842143176947698128855, 'val': 1}
  • id: 192077
    {'lmfdb_iso': '5184.y', 'p': 89, 'prec': 20, 'unit': 623384361103529731923236214608860039, 'val': 1}
  • id: 192062
    {'lmfdb_iso': '5184.y', 'p': 97, 'prec': 20, 'unit': 28601546205585799181796834811120151905, 'val': 1}