Elliptic curve data - 33282.m2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '33282e', 'Clabel': '33282e2', 'Cnumber': 2, 'abc_quality': 0.9553401787052401, 'absD': 158280486092046092304, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 516, 'ainvs': [1, -1, 0, 945417, -491358547], 'analytic_rank': 0, 'bad_primes': [2, 3, 43], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 33282, 'degree': 1064448, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5608928022605494698310551801', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 3], 'jinv': [751089429, 1272112], 'lmfdb_iso': '33282.m', 'lmfdb_label': '33282.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 57, -243], 'min_quad_twist_disc': 129, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.3', '129.8.0.?', '516.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5547], [3, 2, 3698], [43, 968, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14366647208731401045180000427', 'prec': 107}, 'szpiro_ratio': 5.142487767194224, '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, -1, 0, 1, 3, 0, 1, -1, 0, -3, -3, 0, -1, -1, 0, 1, -6, 0, 1, 3], 'aplist': [-1, 0, 3, 1, -3, -1, -6, 1, 0, 3, -4, -2, 0, 0, -3, 0, 0, -14, -4, 6, -2, 14, 9, 18, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 33282, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '33282.m', 'trace_hash': 2016572314249790081}
• 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': '0.0059653616027649337174065804465', 'prec': 110}, 'conductor': 33282, 'gens': [], 'heights': [], 'lmfdb_label': '33282.m2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.095749894348014508037788907823', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5319983095682321286046225251717471344', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [0, 0], '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': 'a', '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '33282.m2'}
• ec_torsion_growth •

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

  
  
  • id: 1653335
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '33282.m2', 'torsion': [3]}
  • id: 1653336
    {'degree': 3, 'field': [-9, 1, -1, 1], 'lmfdb_label': '33282.m2', 'torsion': [2]}
  • id: 1653339
    {'degree': 6, 'field': [-8, 0, -22, 22, 1, -2, 1], 'lmfdb_label': '33282.m2', 'torsion': [6]}
  • id: 1653337
    {'degree': 6, 'field': [144, 72, 114, 18, 7, -2, 1], 'lmfdb_label': '33282.m2', 'torsion': [2, 2]}
  • id: 1653338
    {'degree': 6, 'field': [1399, -489, 390, -63, 36, -3, 1], 'lmfdb_label': '33282.m2', 'torsion': [3]}
  • id: 1653340
    {'degree': 12, 'field': [-5513, 5283, -9998, -18109, -2466, -1587, 1450, -63, 178, -65, -6, -1, 1], 'lmfdb_label': '33282.m2', 'torsion': [4]}
  • id: 1653342
    {'degree': 12, 'field': [64, -96, 72, 376, 404, 400, 50, -146, 69, -6, 8, -4, 1], 'lmfdb_label': '33282.m2', 'torsion': [2, 6]}
  • id: 1653341
    {'degree': 12, 'field': [2979076, 0, 1189872, 0, 217500, 0, 23279, 0, 1515, 0, 57, 0, 1], 'lmfdb_label': '33282.m2', 'torsion': [3, 3]}
  • id: 1653344
    {'degree': 18, 'field': [314432, 0, 0, -67168, 0, 0, 17428, 0, 0, -2592, 0, 0, 344, 0, 0, -16, 0, 0, 1], 'lmfdb_label': '33282.m2', 'torsion': [6]}
  • id: 1653343
    {'degree': 18, 'field': [386417692, 1431397356, 249747144, -2467667526, -583511430, -258361896, 230781363, 22433244, -16286502, 1495123, -406509, -5946, 19383, 1794, 921, -393, 30, -6, 1], 'lmfdb_label': '33282.m2', '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: 778877
    {'conductor': 33282, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33282.m2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 778878
    {'conductor': 33282, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '33282.m2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 778879
    {'conductor': 33282, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '33282.m2', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1886272
    {'adelic_gens': [[4, 3, 9, 7], [83, 510, 249, 497], [42, 467, 341, 282], [1, 6, 0, 1], [3, 4, 8, 11], [511, 6, 510, 7], [259, 6, 261, 19], [1, 0, 6, 1]], 'adelic_image': '516.16.0.?', 'conductor': 33282, 'lmfdb_label': '33282.m2', 'prime': 0}
  • id: 148344
    {'conductor': 33282, 'elladic_image': '3.4.0.1', 'lmfdb_label': '33282.m2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 33282.m does not appear in ec_padic