Elliptic curve data - 9280.p1

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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': '9280p', 'Clabel': '9280p2', 'Cnumber': 2, 'abc_quality': 0.9997268968596169, 'absD': 593920, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1160, 'ainvs': [0, 0, 0, -772, 8256], 'analytic_rank': 0, 'bad_primes': [2, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9280, 'degree': 1536, 'elladic_images': ['8.12.0.21'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25858513619288034486045565997', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [12422690496, 145], 'lmfdb_iso': '9280.p', 'lmfdb_label': '9280.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -193, -1032], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '8.12.0-4.b.1.3', '290.6.0.?', '580.12.0.?', '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, 145], [5, 6, 1856], [29, 30, 320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43456204436706496455677646149', 'prec': 107}, 'szpiro_ratio': 3.4546716751227695, '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, 0, 0, 1, 0, 2, 0, -3, 0, 2, 0, -2, 0, 0, 0, 2, 0, 6, 0], 'aplist': [0, 0, 1, 2, 2, -2, 2, 6, 6, 1, 2, 2, 2, 0, 0, -2, 4, 6, -2, -12, -2, -10, -2, -14, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 9280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9280.p', 'trace_hash': 156695150847020357}
• 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': '0.59620526169832217237279115165', 'prec': 103}, 'conductor': 9280, 'gens': [], 'heights': [], 'lmfdb_label': '9280.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.6330570080879243345423736141', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6330570080879243345423736140510230944', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[16, 0, 1]], 'xcoord_integral_points': [16]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [1, 0], '29': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '9280.p1'}
• ec_torsion_growth •

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

  
  
  • id: 482673
    {'degree': 2, 'field': [-36, -1, 1], 'lmfdb_label': '9280.p1', 'torsion': [2, 2]}
  • id: 482674
    {'degree': 4, 'field': [145, 0, -24, 0, 1], 'lmfdb_label': '9280.p1', 'torsion': [4]}
  • id: 482678
    {'degree': 8, 'field': [-48, 0, -768, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '9280.p1', 'torsion': [6]}
  • id: 482675
    {'degree': 8, 'field': [1, 0, -4, 0, -2314, 0, -4, 0, 1], 'lmfdb_label': '9280.p1', 'torsion': [2, 4]}
  • id: 482676
    {'degree': 8, 'field': [1296, 0, 0, 0, 73, 0, 0, 0, 1], 'lmfdb_label': '9280.p1', 'torsion': [2, 4]}
  • id: 482677
    {'degree': 8, 'field': [21025, 0, -6960, 0, 870, 0, -48, 0, 1], 'lmfdb_label': '9280.p1', 'torsion': [8]}
  • id: 482679
    {'degree': 16, 'field': [21025, -168200, 672800, -1682000, 2860560, -3370960, 2709760, -1376920, 373246, -31384, 18688, -7120, 1296, -80, 32, -8, 1], 'lmfdb_label': '9280.p1', 'torsion': [4, 4]}
  • id: 482680
    {'degree': 16, 'field': [442050625, 0, 0, 0, -11026380, 0, 0, 0, 128486, 0, 0, 0, -588, 0, 0, 0, 1], 'lmfdb_label': '9280.p1', 'torsion': [2, 8]}
  • id: 482681
    {'degree': 16, 'field': [3557287449, 0, -3926117952, 0, -311751180, 0, -62342784, 0, -183090, 0, 26304, 0, -1692, 0, 0, 0, 1], 'lmfdb_label': '9280.p1', '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: 194748
    {'conductor': 9280, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '9280.p1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 194749
    {'conductor': 9280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9280.p1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 194750
    {'conductor': 9280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9280.p1', '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: 1725300
    {'adelic_gens': [[573, 1154, 6, 5], [1, 0, 8, 1], [248, 3, 445, 2], [289, 1152, 580, 1159], [1, 8, 0, 1], [1, 4, 4, 17], [936, 3, 5, 2], [3, 8, 28, 75], [1153, 8, 1152, 9], [5, 8, 48, 77]], 'adelic_image': '1160.48.0.?', 'conductor': 9280, 'lmfdb_label': '9280.p1', 'prime': 0}
  • id: 45014
    {'conductor': 9280, 'elladic_image': '8.12.0.21', 'lmfdb_label': '9280.p1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 9280.p does not appear in ec_padic