Elliptic curve data - 143055.x1

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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': '143055p', 'Clabel': '143055p1', 'Cnumber': 1, 'abc_quality': 0.9844251155566571, 'absD': 6221112563644171875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1122, 'ainvs': [0, 0, 1, -34217022, -77039233655], 'analytic_rank': 1, 'bad_primes': [3, 5, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 143055, 'degree': 10119168, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8785494051589854006714340857', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [-251784668965666816, 353546875], 'lmfdb_iso': '143055.x', 'lmfdb_label': '143055.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -13155, 576381], 'min_quad_twist_disc': -51, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '51.8.0-3.a.1.1', '66.8.0-3.a.1.2', '374.2.0.?', '1122.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9861285140673232393282599337', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91263658879682251484904415830', 'prec': 103}, 'szpiro_ratio': 5.362512866234333, '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, -2, 1, 0, -5, 0, 0, 0, -1, 0, -4, 0, 0, 4, 0, 0, -4, -2], 'aplist': [0, 0, 1, -5, -1, -4, 0, -4, 6, -3, -2, -8, 9, -4, 3, 9, -9, -14, 5, 6, -11, -8, -6, -9, 4], 'class_deg': 3, 'class_size': 2, 'conductor': 143055, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '143055.x', 'trace_hash': 236456026695459773}
• 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': '0.0031602668450326726617047906179', 'prec': 110}, 'conductor': 143055, 'gens': [[7123, 201577, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9861285140673232393282599337', 'prec': 100}], 'lmfdb_label': '143055.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.031211092455090439194062910956', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9858742141702599032149084099523973941', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [7123]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 8, 0], '3': 'a', '5': [4, 0], '7': [1, 0], '11': [1, 0], '13': [3, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '143055.x1'}
• ec_torsion_growth •

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

  
  
  • id: 6463546
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '143055.x1', 'torsion': [3]}
  • id: 6463547
    {'degree': 3, 'field': [5, 1, -1, 1], 'lmfdb_label': '143055.x1', 'torsion': [2]}
  • id: 6463549
    {'degree': 6, 'field': [-17, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '143055.x1', 'torsion': [3]}
  • id: 6463550
    {'degree': 6, 'field': [1, -1, 14, 23, 14, -1, 1], 'lmfdb_label': '143055.x1', 'torsion': [6]}
  • id: 6463548
    {'degree': 6, 'field': [383, -219, 56, -51, 18, -1, 1], 'lmfdb_label': '143055.x1', 'torsion': [2, 2]}
  • id: 6463552
    {'degree': 12, 'field': [16, -56, 120, -178, 175, 3, -65, 12, 12, -2, 1, -3, 1], 'lmfdb_label': '143055.x1', 'torsion': [3, 3]}
  • id: 6463553
    {'degree': 12, 'field': [1156, 3468, -136, -6528, 3090, -240, 781, -510, 21, 60, -1, -6, 1], 'lmfdb_label': '143055.x1', 'torsion': [2, 6]}
  • id: 6463551
    {'degree': 12, 'field': [351945, -1311876, -645570, 359316, 144243, -104256, 46488, -9096, 511, -100, 18, -4, 1], 'lmfdb_label': '143055.x1', 'torsion': [4]}
  • id: 6463555
    {'degree': 18, 'field': [-512, 1536, 5504, 7808, 6432, 3296, 24584, -20360, 25864, 1636, 6324, 1564, 222, 250, 190, -13, 7, -1, 1], 'lmfdb_label': '143055.x1', 'torsion': [6]}
  • id: 6463554
    {'degree': 18, 'field': [3508375, -2683875, 1014075, 851455, 80685, -853605, 774961, -252429, -32862, 64253, -22212, 5994, 3847, -2691, -132, 258, -12, -9, 1], 'lmfdb_label': '143055.x1', 'torsion': [9]}
• 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: 3536920
    {'conductor': 143055, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '143055.x1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3536921
    {'conductor': 143055, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '143055.x1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3536922
    {'conductor': 143055, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '143055.x1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3536923
    {'conductor': 143055, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '143055.x1', 'prime': 17, 'reduction_type': 0, '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: 2593821
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [186, 929, 935, 747], [409, 6, 105, 19], [1117, 6, 1116, 7], [65, 1116, 195, 1103], [1, 6, 0, 1]], 'adelic_image': '1122.16.0.?', 'conductor': 143055, 'lmfdb_label': '143055.x1', 'prime': 0}
  • id: 552428
    {'conductor': 143055, 'elladic_image': '3.4.0.1', 'lmfdb_label': '143055.x1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 143055.x does not appear in ec_padic