Elliptic curve data - 858.l2

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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': '858l', 'Clabel': '858l1', 'Cnumber': 1, 'abc_quality': 1.0639725940924942, 'absD': 13066420224, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [1, 0, 0, -332, -6000], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 858, 'degree': 1008, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62751595386731359870260054954', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [-4047806261953, 13066420224], 'lmfdb_iso': '858.l', 'lmfdb_label': '858.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -332, -6000], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '78.6.0.?', '88.6.0.?', '3432.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 39], [3, 4, 22], [7, 2, 429], [11, 12, 78], [13, 14, 66]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62751595386731359870260054954', 'prec': 103}, 'szpiro_ratio': 4.576571867272775, '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, 2, 1, 4, 1, 1, 2, 1, 1, -1, 4, 2, 1, -8, 1, -6, 2], 'aplist': [1, 1, 2, 4, 1, -1, -8, -6, -6, -2, -2, 4, 2, 4, 4, -8, 12, -2, 12, -16, 0, -8, 4, 10, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 858, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '858.l', 'trace_hash': 441598452406580695}
• 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': '0.28506675224505662621876504403', 'prec': 103}, 'conductor': 858, 'gens': [], 'heights': [], 'lmfdb_label': '858.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.51527481862415998440454466499', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6069237303691198908318126549628675904', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [[24, -12, 1]], 'xcoord_integral_points': [24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': [0, 0], '7': [2, 0], '11': [1, 0], '13': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '858.l2'}
• ec_torsion_growth •

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

  
  
  • id: 40715
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '858.l2', 'torsion': [2, 2]}
  • id: 40716
    {'degree': 4, 'field': [-22, 0, 1, -2, 1], 'lmfdb_label': '858.l2', 'torsion': [4]}
  • id: 40719
    {'degree': 8, 'field': [-18, -36, 18, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '858.l2', 'torsion': [6]}
  • id: 40717
    {'degree': 8, 'field': [4096, 0, -124, 0, 72, 0, -19, 0, 1], 'lmfdb_label': '858.l2', 'torsion': [2, 4]}
  • id: 40718
    {'degree': 8, 'field': [15328, 10368, 4876, 416, -148, 76, 9, -2, 1], 'lmfdb_label': '858.l2', 'torsion': [2, 4]}
  • id: 40721
    {'degree': 16, 'field': [446304, 1515072, 4098240, -10978374, 4880220, 698472, -180269, -41912, 5178, 5660, -3211, 1056, -85, -70, 30, -8, 1], 'lmfdb_label': '858.l2', 'torsion': [2, 6]}
  • id: 40720
    {'degree': 16, 'field': [3779136, 0, 1757904768, 0, -615104928, 0, -81270432, 0, -4218444, 0, -57968, 0, 3924, 0, 144, 0, 1], 'lmfdb_label': '858.l2', '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: 11306
    {'conductor': 858, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '858.l2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 11307
    {'conductor': 858, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '858.l2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11308
    {'conductor': 858, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '858.l2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11309
    {'conductor': 858, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '858.l2', 'prime': 13, '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: 1670007
    {'adelic_gens': [[1717, 4, 2, 9], [1, 2, 2, 5], [1, 4, 0, 1], [2290, 1, 2287, 0], [433, 3004, 2144, 1287], [937, 4, 1874, 9], [1850, 1, 791, 0], [1, 0, 4, 1], [3429, 4, 3428, 5], [3, 4, 8, 11]], 'adelic_image': '3432.12.0.?', 'conductor': 858, 'lmfdb_label': '858.l2', 'prime': 0}
  • id: 3967
    {'conductor': 858, 'elladic_image': '2.3.0.1', 'lmfdb_label': '858.l2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 858.l does not appear in ec_padic