Elliptic curve data - 9280.a1

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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': '9280d', 'Clabel': '9280d2', 'Cnumber': 2, 'abc_quality': 0.8041498512974241, 'absD': 74240000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1160, 'ainvs': [0, 1, 0, -121, -345], 'analytic_rank': 0, 'bad_primes': [2, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9280, 'degree': 3072, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20988892319170985566852955163', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [48228544, 18125], 'lmfdb_iso': '9280.a', 'lmfdb_label': '9280.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -30, 28], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '40.12.0-4.b.1.3', '58.6.0.a.1', '116.12.0.?', '232.24.0.?', '1160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 29], [5, 6, 1856], [29, 30, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48325825736823545374870256983', 'prec': 107}, 'szpiro_ratio': 2.8470138651429475, '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, 0, -2, 0, -1, 0, 4, 0, 1, 0, 2, 0, -2, 0, 2, 0, 6, 0, -6, 0], 'aplist': [0, -2, -1, 4, 2, -2, 6, -6, 4, 1, 2, 2, -6, 6, -6, -2, 12, 6, 8, 0, 6, -14, -12, 2, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 9280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9280.a', 'trace_hash': 1476564803863926097}
• 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': '0.65719280135690463526143227408', 'prec': 103}, 'conductor': 9280, 'gens': [], 'heights': [], 'lmfdb_label': '9280.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.4844048132995023159935259781', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4844048132995023159935259781321418523', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-3, 0, 1]], 'xcoord_integral_points': [-3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '29': [3, 0]}, 'iwp0': 3, 'lmfdb_label': '9280.a1'}
• ec_torsion_growth •

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

  
  
  • id: 482460
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '9280.a1', 'torsion': [2, 2]}
  • id: 482461
    {'degree': 4, 'field': [29, 0, -4, 0, 1], 'lmfdb_label': '9280.a1', 'torsion': [4]}
  • id: 482464
    {'degree': 8, 'field': [-8748, 0, 3176, 0, -324, 0, 0, 0, 1], 'lmfdb_label': '9280.a1', 'torsion': [6]}
  • id: 482463
    {'degree': 8, 'field': [1, 0, 0, 0, 27, 0, 0, 0, 1], 'lmfdb_label': '9280.a1', 'torsion': [2, 4]}
  • id: 482462
    {'degree': 8, 'field': [49, 0, -122, 0, 158, 0, -34, 0, 1], 'lmfdb_label': '9280.a1', 'torsion': [2, 4]}
  • id: 482465
    {'degree': 16, 'field': [169, -3848, 43808, -93072, 106688, -92128, 70528, -44856, 21126, -8312, 3712, -1360, 288, -64, 32, -8, 1], 'lmfdb_label': '9280.a1', 'torsion': [4, 4]}
  • id: 482466
    {'degree': 16, 'field': [1033601, -1643224, 2136136, -865016, 158158, 254136, 33764, -89808, 11263, 2216, 4476, -2288, 78, 112, 4, -8, 1], 'lmfdb_label': '9280.a1', 'torsion': [8]}
  • id: 482467
    {'degree': 16, 'field': [3515625, 0, 203400, 0, -489050, 0, 47500, 0, -16673, 0, 7916, 0, -734, 0, -20, 0, 1], 'lmfdb_label': '9280.a1', '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: 194670
    {'conductor': 9280, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '9280.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 194671
    {'conductor': 9280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9280.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 194672
    {'conductor': 9280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9280.a1', 'prime': 29, '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: 1725266
    {'adelic_gens': [[766, 1, 423, 4], [573, 1154, 6, 5], [697, 8, 468, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [297, 6, 22, 19], [3, 8, 28, 75], [1153, 8, 1152, 9], [5, 8, 48, 77]], 'adelic_image': '1160.48.0.?', 'conductor': 9280, 'lmfdb_label': '9280.a1', 'prime': 0}
  • id: 44980
    {'conductor': 9280, 'elladic_image': '4.6.0.3', 'lmfdb_label': '9280.a1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9280.a does not appear in ec_padic