Elliptic curve data - 2475.g2

Formats: - HTML - YAML - JSON - 2024-04-25T19:22:22.118226

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2475g', 'Clabel': '2475g2', 'Cnumber': 2, 'abc_quality': 1.0066941367119941, 'absD': 1004755640625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 660, 'ainvs': [1, -1, 0, -2592, -15309], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2475, 'degree': 3072, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.99481944315444378004694010414', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [169112377, 88209], 'lmfdb_iso': '2475.g', 'lmfdb_label': '2475.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -11, 0], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.a.1', '20.12.0-2.a.1.1', '44.12.0.b.1', '60.24.0-12.a.1.2', '132.24.0.?', '220.24.0.?', '660.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35920565739666125295106218093', 'prec': 107}, 'szpiro_ratio': 4.504017749045874, '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, 1, 0, -1, 0, 0, -4, -3, 0, 0, -1, 0, 2, -4, 0, -1, -2, 0, 0, 0], 'aplist': [1, 0, 0, -4, -1, 2, -2, 0, 8, 6, -8, -6, 2, 0, 8, 6, 4, 6, 4, 0, 14, -4, 12, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2475, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2475.g', 'trace_hash': 2156057543737001656}
• 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': '0.13674479694899108632454612335', 'prec': 103}, 'conductor': 2475, 'gens': [], 'heights': [], 'lmfdb_label': '2475.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70866128566071706184195204604', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4173225713214341236839040920859352546', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-6, 3, 1], [54, -27, 1]], 'xcoord_integral_points': [-6, 54]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': 'a', '5': 'a', '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2475.g2'}
• ec_torsion_growth •

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

  
  
  • id: 127210
    {'degree': 4, 'field': [1, 0, 13, 0, 1], 'lmfdb_label': '2475.g2', 'torsion': [2, 4]}
  • id: 127208
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '2475.g2', 'torsion': [2, 4]}
  • id: 127209
    {'degree': 4, 'field': [174, 6, -5, -2, 1], 'lmfdb_label': '2475.g2', 'torsion': [2, 4]}
  • id: 127211
    {'degree': 8, 'field': [-21, -22, -26, 12, 13, 11, -6, -1, 1], 'lmfdb_label': '2475.g2', 'torsion': [2, 6]}
  • id: 127213
    {'degree': 16, 'field': [1, 0, -12, 0, -131, 0, 180, 0, 600, 0, 180, 0, -131, 0, -12, 0, 1], 'lmfdb_label': '2475.g2', 'torsion': [2, 8]}
  • id: 127212
    {'degree': 16, 'field': [256, 0, 368, 0, 9473, 0, -7740, 0, 5156, 0, -1710, 0, 308, 0, -28, 0, 1], 'lmfdb_label': '2475.g2', 'torsion': [4, 4]}
  • id: 127215
    {'degree': 16, 'field': [3600, 0, 3660, 0, -1661, 0, -1528, 0, 816, 0, -8, 0, 0, 0, -4, 0, 1], 'lmfdb_label': '2475.g2', 'torsion': [2, 8]}
  • id: 127214
    {'degree': 16, 'field': [65950641, 0, -29908440, 0, 6881721, 0, -769152, 0, -15104, 0, 8864, 0, 297, 0, 8, 0, 1], 'lmfdb_label': '2475.g2', '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: 42489
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '2475.g2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 42490
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2475.g2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 42491
    {'conductor': 2475, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2475.g2', 'prime': 11, '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: 1680073
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [331, 530, 0, 1], [129, 130, 310, 529], [541, 400, 290, 141], [657, 4, 656, 5], [263, 0, 0, 659]], 'adelic_image': '660.48.0.?', 'conductor': 2475, 'lmfdb_label': '2475.g2', 'prime': 0}
  • id: 12297
    {'conductor': 2475, 'elladic_image': '2.6.0.1', 'lmfdb_label': '2475.g2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 2475.g does not appear in ec_padic