Elliptic curve data - 45662.l1

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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': '45662m', 'Clabel': '45662m2', 'Cnumber': 2, 'abc_quality': 0.9929394850641525, 'absD': 556454537960043972608, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [1, 0, 0, -3795443, 2609642593], 'analytic_rank': 0, 'bad_primes': [2, 17, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 45662, 'degree': 3041280, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7195976440994104226774359860', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [250505699702316625, 23053462341632], 'lmfdb_iso': '45662.l', 'lmfdb_label': '45662.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -13133, 525763], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '68.6.0.c.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 289], [11, 2, 22831], [17, 162, 158], [79, 80, 578]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3029909720713023825526686771', 'prec': 100}, 'szpiro_ratio': 5.318428801424488, '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, -2, 1, 0, -2, 4, 1, 1, 0, 2, -2, -6, 4, 0, 1, 0, 1, 4, 0], 'aplist': [1, -2, 0, 4, 2, -6, 0, 4, 8, 4, -4, 0, 10, 12, 8, 6, 4, -8, 0, 8, 6, -1, 0, -6, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 45662, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '45662.l', 'trace_hash': 1306291421686723426}
• 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': '0.0043429767095550828005417426191', 'prec': 110}, 'conductor': 45662, 'gens': [], 'heights': [], 'lmfdb_label': '45662.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15966589755094958369677195624', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5126497461208908413289830372496337107', 'prec': 130}, 'tamagawa_product': 88, 'torsion_generators': [[5519, -5519, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': [4, 0], '5': [0, 0, 0], '7': [0, 0], '11': [2, 0], '17': 'a', '79': [0, 0]}, 'iwp0': 13, 'lmfdb_label': '45662.l1'}
• ec_torsion_growth •

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

  
  
  • id: 2230467
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '45662.l1', 'torsion': [2, 2]}
  • id: 2230468
    {'degree': 4, 'field': [2, 0, -5, 0, 1], 'lmfdb_label': '45662.l1', 'torsion': [4]}
  • id: 2230471
    {'degree': 8, 'field': [-3348, 324, -126, -397, 202, -7, 7, -4, 1], 'lmfdb_label': '45662.l1', 'torsion': [6]}
  • id: 2230470
    {'degree': 8, 'field': [2, -4, -14, 16, 27, -12, -14, 0, 1], 'lmfdb_label': '45662.l1', 'torsion': [2, 4]}
  • id: 2230469
    {'degree': 8, 'field': [4624, 0, 1088, 0, 118, 0, 8, 0, 1], 'lmfdb_label': '45662.l1', 'torsion': [2, 4]}
  • id: 2230473
    {'degree': 16, 'field': [6836600, 16559200, -18766868, 5140200, -4396634, 2231060, -805487, 44344, 3024, -14474, 7781, -2452, 257, 42, 14, -8, 1], 'lmfdb_label': '45662.l1', 'torsion': [2, 6]}
  • id: 2230472
    {'degree': 16, 'field': [13680577296, 0, -4934945088, 0, -237707622, 0, 24684156, 0, 3615541, 0, 1350, 0, -3380, 0, -86, 0, 1], 'lmfdb_label': '45662.l1', '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: 1088168
    {'conductor': 45662, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '45662.l1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
  • id: 1088169
    {'conductor': 45662, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '45662.l1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1088170
    {'conductor': 45662, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '45662.l1', 'prime': 79, '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: 1968405
    {'adelic_gens': [[133, 4, 132, 5], [2, 1, 67, 0], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [121, 18, 16, 119], [1, 2, 2, 5], [105, 4, 74, 9]], 'adelic_image': '136.12.0.?', 'conductor': 45662, 'lmfdb_label': '45662.l1', 'prime': 0}
  • id: 197951
    {'conductor': 45662, 'elladic_image': '8.6.0.6', 'lmfdb_label': '45662.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 45662.l does not appear in ec_padic