Elliptic curve data - 2760.d4

Formats: - HTML - YAML - JSON - 2023-12-11T11:51:35.051693

• 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': '2760a', 'Clabel': '2760a4', 'Cnumber': 4, 'absD': 4298357760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, -1, 0, 144, 3036], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2760, 'degree': 1792, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.52924858888546044348819154683', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [320251964, 4197615], 'lmfdb_iso': '2760.d', 'lmfdb_label': '2760.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 144, 3036], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '20.12.0-4.c.1.1', '30.6.0.a.1', '60.24.0-60.g.1.2', '184.12.0.?', '552.24.0.?', '920.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.048374061581160647692835221051', 'prec': 110}, '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, -1, 0, -1, 0, 4, 0, 1, 0, 4, 0, 6, 0, 1, 0, -2, 0, 4, 0], 'aplist': [0, -1, -1, 4, 4, 6, -2, 4, 1, -2, 0, 2, 2, 0, 0, -6, -8, -2, -16, -4, 10, 0, 4, 6, -2], '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.d', 'trace_hash': 879568037445679670}
• 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': '0.34697686325010505674661849978', 'prec': 103}, 'conductor': 2760, 'gens': [], 'heights': [], 'lmfdb_label': '2760.d4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0232991923918026972621426955', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0465983847836053945242853910738845024', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-11, 0, 1]], 'xcoord_integral_points': [-11]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '2760.d4'}
• ec_torsion_growth •

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

  
  
  • id: 143679
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [4]}
  • id: 143678
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2760.d4', 'torsion': [2, 2]}
  • id: 143680
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [4]}
  • id: 143681
    {'degree': 4, 'field': [4, 0, 1, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [2, 4]}
  • id: 143685
    {'degree': 8, 'field': [-1875, 0, 1300, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [6]}
  • id: 143683
    {'degree': 8, 'field': [225, 0, 180, 0, -201, 0, -12, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [8]}
  • id: 143684
    {'degree': 8, 'field': [276, -276, 422, -318, 225, -82, 32, -4, 1], 'lmfdb_label': '2760.d4', 'torsion': [8]}
  • id: 143682
    {'degree': 8, 'field': [3600, 0, 0, 0, -60, 0, 0, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [2, 4]}
  • id: 143686
    {'degree': 16, 'field': [58081, 0, -52252, 0, 39118, 0, -12484, 0, 235, 0, -4, 0, 58, 0, 8, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [4, 4]}
  • id: 143688
    {'degree': 16, 'field': [1284121, 3060576, 3323974, 3253464, 3124696, 1927116, 968686, 403128, 147769, 42804, 6754, -936, -296, -36, -20, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [2, 8]}
  • id: 143687
    {'degree': 16, 'field': [1425181, 2053890, -361223, -552528, 812877, 30808, -169846, 64176, 2710, -6036, 1582, -504, 157, -2, -3, -4, 1], 'lmfdb_label': '2760.d4', 'torsion': [2, 8]}
  • id: 143690
    {'degree': 16, 'field': [2250000, 0, -5580000, 0, 1170000, 0, 156000, 0, -97800, 0, -15000, 0, -320, 0, 28, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [12]}
  • id: 143689
    {'degree': 16, 'field': [79684636, -19182872, 21414060, -4758720, 3107640, -846696, 260932, -30440, 69705, -43560, 11352, -2064, 890, -280, 60, -8, 1], 'lmfdb_label': '2760.d4', 'torsion': [2, 6]}
  • id: 143691
    {'degree': 16, 'field': [132250000, 0, 52900000, 0, 5290000, 0, 900000, 0, 21000, 0, 12600, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '2760.d4', 'torsion': [12]}
• 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: 48865
    {'conductor': 2760, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2760.d4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 48866
    {'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2760.d4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 48867
    {'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2760.d4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 48868
    {'conductor': 2760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2760.d4', 'prime': 23, 'reduction_type': 1, '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: 1682021
    {'adelic_gens': [[1, 0, 8, 1], [2419, 2418, 1738, 355], [1, 8, 0, 1], [1, 4, 4, 17], [928, 3, 925, 2], [7, 6, 2754, 2755], [1108, 1, 2231, 6], [1201, 8, 2044, 33], [2753, 8, 2752, 9], [1043, 1036, 1082, 2421]], 'adelic_image': '2760.48.0.?', 'conductor': 2760, 'lmfdb_label': '2760.d4', 'prime': 0}
  • id: 13852
    {'conductor': 2760, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2760.d4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2760.d does not appear in ec_padic