Elliptic curve data - 9282.v2

Formats: - HTML - YAML - JSON - 2025-03-07T08:47:27.291764

• 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': '9282u', 'Clabel': '9282u2', 'Cnumber': 2, 'abc_quality': 1.0364108622918355, 'absD': 10847124527712371223290784, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1768, 'ainvs': [1, 0, 0, 43461398, -113781351100], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9282, 'degree': 3225600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4900467862162557920009505294', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [9078932501639240351982661727, 10847124527712371223290784], 'lmfdb_iso': '9282.v', 'lmfdb_label': '9282.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 43461398, -113781351100], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.c.1', '104.6.0.?', '1768.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 4, 182], [5, 2, 357], [7, 8, 1326], [13, 14, 714], [17, 18, 546]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4900467862162557920009505294', 'prec': 100}, 'szpiro_ratio': 7.053358236537025, '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, 1, 1, 1, 2, 2, 1, -1, 1, 2, 1, -1, 1, 8, 2], 'aplist': [1, 1, 2, 1, 2, -1, -1, 8, 6, 0, 4, 10, -12, 4, -8, -14, 4, 0, -8, -12, 8, -14, 16, -18, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 9282, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9282.v', 'trace_hash': 839887297835585309}
• 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': '0.00093021615654389963548503240175', 'prec': 113}, 'conductor': 9282, 'gens': [], 'heights': [], 'lmfdb_label': '9282.v2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.038654977971989099890847016000', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1847964755182559825355225599469395471', 'prec': 130}, 'tamagawa_product': 640, 'torsion_generators': [[9311, -9311, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': [1, 0], '5': [2, 0], '7': [1, 0], '13': [0, 0], '17': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '9282.v2'}
• ec_torsion_growth •

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

  
  
  • id: 483167
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '9282.v2', 'torsion': [2, 2]}
  • id: 483168
    {'degree': 4, 'field': [-26, 0, 7, 0, 1], 'lmfdb_label': '9282.v2', 'torsion': [4]}
  • id: 483171
    {'degree': 8, 'field': [-48, 0, 92, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '9282.v2', 'torsion': [6]}
  • id: 483169
    {'degree': 8, 'field': [26586, 1280, -1104, -384, 273, -100, 38, -4, 1], 'lmfdb_label': '9282.v2', 'torsion': [2, 4]}
  • id: 483170
    {'degree': 8, 'field': [55592, -9856, 10356, -1012, 537, -40, 18, -4, 1], 'lmfdb_label': '9282.v2', 'torsion': [2, 4]}
  • id: 483172
    {'degree': 16, 'field': [456976, 0, -3726112, 0, 4923646, 0, -1093092, 0, -777075, 0, 47502, 0, -560, 0, 2, 0, 1], 'lmfdb_label': '9282.v2', 'torsion': [8]}
  • id: 483173
    {'degree': 16, 'field': [192117409344, 0, 66578976576, 0, 9065499408, 0, 687363200, 0, 32478224, 0, 986936, 0, 18880, 0, 208, 0, 1], 'lmfdb_label': '9282.v2', 'torsion': [2, 6]}
• 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: 195002
    {'conductor': 9282, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9282.v2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 195003
    {'conductor': 9282, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '9282.v2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 195004
    {'conductor': 9282, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '9282.v2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 195005
    {'conductor': 9282, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '9282.v2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 195006
    {'conductor': 9282, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '9282.v2', 'prime': 17, '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: 1725358
    {'adelic_gens': [[1226, 1, 271, 0], [1, 2, 2, 5], [1548, 225, 1105, 664], [1, 4, 0, 1], [1765, 4, 1764, 5], [2, 1, 883, 0], [1, 0, 4, 1], [3, 4, 8, 11], [105, 4, 210, 9]], 'adelic_image': '1768.12.0.?', 'conductor': 9282, 'lmfdb_label': '9282.v2', 'prime': 0}
  • id: 45063
    {'conductor': 9282, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9282.v2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9282.v does not appear in ec_padic