Elliptic curve data - 2760.a2

Formats: - HTML - YAML - JSON - 2023-12-01T16:01:56.277568

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2760d', 'Clabel': '2760d2', 'Cnumber': 2, 'absD': 121881600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, -1, 0, -136, -260], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2760, 'degree': 768, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24765643952406513656860946266', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [273671716, 119025], 'lmfdb_iso': '2760.a', 'lmfdb_label': '2760.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -136, -260], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '60.12.0-2.a.1.1', '92.12.0.?', '120.24.0.?', '184.24.0.?', '1380.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32996621094255595461241730522', 'prec': 107}, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, -1, 0, 0, 0, 1, 0, 4, 0, 2, 0, 1, 0, 2, 0, 0, 0], 'aplist': [0, -1, -1, 0, 4, 2, 2, 0, -1, -6, 0, -6, 2, 12, 0, 10, -12, -6, 12, -12, 2, 16, 16, 14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 2760, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2760.a', 'trace_hash': 1989653233648156840}
• 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': '0.60938021516440849161673450002', 'prec': 103}, 'conductor': 2760, 'gens': [], 'heights': [], 'lmfdb_label': '2760.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.4537399776486878507629577471', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4537399776486878507629577471346116406', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2, 0, 1], [13, 0, 1]], 'xcoord_integral_points': [-10, -2, 13]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2760.a2'}
• ec_torsion_growth •

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

  
  
  • id: 143725
    {'degree': 4, 'field': [4, 0, -19, 0, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 4]}
  • id: 143724
    {'degree': 4, 'field': [18, -16, 17, -2, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 4]}
  • id: 143726
    {'degree': 4, 'field': [34, -4, 5, -2, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 4]}
  • id: 143727
    {'degree': 8, 'field': [-48, 0, 304, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 6]}
  • id: 143729
    {'degree': 16, 'field': [10609, 0, 43736, 0, 62176, 0, 38664, 0, 10962, 0, 984, 0, -32, 0, 8, 0, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 8]}
  • id: 143731
    {'degree': 16, 'field': [14641, 0, -23304, 0, 10840, 0, 264, 0, 354, 0, -936, 0, 280, 0, -24, 0, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 8]}
  • id: 143728
    {'degree': 16, 'field': [3363616, 4989504, -2615840, -4404960, 1345218, 1029476, -334894, -27900, 37033, -26580, 12334, -4452, 1288, -280, 60, -8, 1], 'lmfdb_label': '2760.a2', 'torsion': [4, 4]}
  • id: 143730
    {'degree': 16, 'field': [60000516, 0, -18355680, 0, 2026524, 0, -462180, 0, 117781, 0, -15050, 0, 1119, 0, -50, 0, 1], 'lmfdb_label': '2760.a2', 'torsion': [2, 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: 48885
    {'conductor': 2760, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2760.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 48886
    {'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2760.a2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 48887
    {'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2760.a2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 48888
    {'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2760.a2', 'prime': 23, '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: 1682012
    {'adelic_gens': [[1, 4, 0, 1], [1657, 2, 0, 1], [2757, 4, 2756, 5], [1841, 2, 0, 1], [1, 0, 4, 1], [1383, 2, 2758, 2759], [1201, 4, 2402, 9], [2071, 4, 1382, 9]], 'adelic_image': '2760.48.0.?', 'conductor': 2760, 'lmfdb_label': '2760.a2', 'prime': 0}
  • id: 13844
    {'conductor': 2760, 'elladic_image': '8.12.0.1', 'lmfdb_label': '2760.a2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 2760.a does not appear in ec_padic