Elliptic curve data - 462.e2

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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': '462e', 'Clabel': '462e1', 'Cnumber': 1, 'abc_quality': 0.975945888236263, 'absD': 6119866368, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [1, 1, 1, -405, 4731], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 462, 'degree': 672, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.57575726735883852911071307792', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [-7347774183121, 6119866368], 'lmfdb_iso': '462.e', 'lmfdb_label': '462.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -405, 4731], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 27, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.039411059881924719147375335479', 'prec': 107}, 'semistable': True, 'serre_invariants': [[2, 4, 7], [3, 4, 22], [7, 8, 33], [11, 12, 42]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57575726735883852911071307792', 'prec': 103}, 'szpiro_ratio': 4.973804542003816, '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, 1, -1, 1, -4, -1, 1, 1, 1, -4, -1, -1, -6, 1, 4, 1, -4, 1, -2, -4], 'aplist': [1, -1, -4, 1, -1, -6, -4, -2, -8, -6, 6, -6, 12, 4, 6, 2, 0, 10, 4, -12, 0, -16, -14, -14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 462, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '462.e', 'trace_hash': 1734542168263096860}
• 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': '0.31615757496881956929436223998', 'prec': 103}, 'conductor': 462, 'gens': [[-17, 92, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.039411059881924719147375335479', 'prec': 107}], 'lmfdb_label': '462.e2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2302485152320732392827914712', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0363867119453289629351102767604335497', 'prec': 130}, 'tamagawa_product': 168, 'torsion_generators': [[-25, 12, 1]], 'xcoord_integral_points': [-25, -17, -9, -3, 7, 11, 19, 25, 39, 63, 73, 151, 487, 767]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': [4, 0], '11': [1, 0], '13': [1, 0], '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': '462.e2'}
• ec_torsion_growth •

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

  
  
  • id: 20885
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '462.e2', 'torsion': [2, 2]}
  • id: 20886
    {'degree': 4, 'field': [-6, 8, -7, -2, 1], 'lmfdb_label': '462.e2', 'torsion': [4]}
  • id: 20889
    {'degree': 8, 'field': [2, -8, 8, -1, 4, -7, 7, -4, 1], 'lmfdb_label': '462.e2', 'torsion': [6]}
  • id: 20887
    {'degree': 8, 'field': [28, 84, 28, -70, 95, -32, 12, -2, 1], 'lmfdb_label': '462.e2', 'torsion': [2, 4]}
  • id: 20888
    {'degree': 8, 'field': [196, 0, 476, 0, 53, 0, -10, 0, 1], 'lmfdb_label': '462.e2', 'torsion': [2, 4]}
  • id: 20891
    {'degree': 16, 'field': [36, 0, 2664, 0, 2196, 0, 331, 0, 326, 0, 319, 0, 85, 0, 14, 0, 1], 'lmfdb_label': '462.e2', 'torsion': [2, 6]}
  • id: 20890
    {'degree': 16, 'field': [285156, 0, 201504, 0, -1194092, 0, -121544, 0, 112757, 0, 17860, 0, 1382, 0, 52, 0, 1], 'lmfdb_label': '462.e2', '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: 5041
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '462.e2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 5042
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5043
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '462.e2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 5044
    {'conductor': 462, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '462.e2', 'prime': 11, 'reduction_type': -1, '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: 1667856
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [613, 4, 612, 5], [90, 1, 263, 0], [1, 2, 2, 5], [1, 4, 0, 1], [309, 4, 2, 9], [57, 4, 114, 9], [81, 540, 384, 231]], 'adelic_image': '616.12.0.?', 'conductor': 462, 'lmfdb_label': '462.e2', 'prime': 0}
  • id: 2080
    {'conductor': 462, 'elladic_image': '2.3.0.1', 'lmfdb_label': '462.e2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6825
    {'lmfdb_iso': '462.e', 'p': 5, 'prec': 20, 'unit': 89586405199902, 'val': -1}
  • id: 6831
    {'lmfdb_iso': '462.e', 'p': 13, 'prec': 20, 'unit': 1101524518394359001065, 'val': 1}
  • id: 6833
    {'lmfdb_iso': '462.e', 'p': 17, 'prec': 20, 'unit': 149640405994942132768583, 'val': 1}
  • id: 6834
    {'lmfdb_iso': '462.e', 'p': 19, 'prec': 20, 'unit': 263499734426474534675611, 'val': 1}
  • id: 6836
    {'lmfdb_iso': '462.e', 'p': 23, 'prec': 20, 'unit': 28335275663401061402449326, 'val': 1}
  • id: 6830
    {'lmfdb_iso': '462.e', 'p': 29, 'prec': 20, 'unit': 4558499290357598453877001801, 'val': 1}
  • id: 6827
    {'lmfdb_iso': '462.e', 'p': 31, 'prec': 20, 'unit': 4611466702813681885518940103, 'val': 1}
  • id: 6840
    {'lmfdb_iso': '462.e', 'p': 37, 'prec': 20, 'unit': 442949859657320524358517824657, 'val': 1}
  • id: 6828
    {'lmfdb_iso': '462.e', 'p': 41, 'prec': 20, 'unit': 2061078046348429948535219829308, 'val': 1}
  • id: 6829
    {'lmfdb_iso': '462.e', 'p': 43, 'prec': 20, 'unit': 1242369636723252668703576784773, 'val': 1}
  • id: 6832
    {'lmfdb_iso': '462.e', 'p': 47, 'prec': 20, 'unit': 34176028497630829953540400500365, 'val': 1}
  • id: 6835
    {'lmfdb_iso': '462.e', 'p': 53, 'prec': 20, 'unit': 267459584169776365516616821861443, 'val': 1}
  • id: 6839
    {'lmfdb_iso': '462.e', 'p': 61, 'prec': 20, 'unit': 3349368437631816423390876360273486, 'val': 1}
  • id: 6824
    {'lmfdb_iso': '462.e', 'p': 67, 'prec': 20, 'unit': 26405233164474443352895989129796477, 'val': 1}
  • id: 6826
    {'lmfdb_iso': '462.e', 'p': 71, 'prec': 20, 'unit': 44507992284258090039322622273954604, 'val': 1}
  • id: 6838
    {'lmfdb_iso': '462.e', 'p': 79, 'prec': 20, 'unit': 741730437705785468844664989553883451, 'val': 1}
  • id: 6823
    {'lmfdb_iso': '462.e', 'p': 83, 'prec': 20, 'unit': 1065453234062186966954806280458010038, 'val': 1}
  • id: 6837
    {'lmfdb_iso': '462.e', 'p': 89, 'prec': 20, 'unit': 2356901456045717889325249795214797487, 'val': 1}
  • id: 6822
    {'lmfdb_iso': '462.e', 'p': 97, 'prec': 20, 'unit': 54625293512178592723103992208192854398, 'val': 1}