Elliptic curve data - 1110.g2

Formats: - HTML - YAML - JSON - 2024-04-20T03:48:30.321912

• 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': '1110f', 'Clabel': '1110f2', 'Cnumber': 2, 'abc_quality': 1.0216568168896472, 'absD': 5613755625000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1480, 'ainvs': [1, 0, 1, -195459, 33048382], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1110, 'degree': 11520, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8562177484520060938226589496', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [825824067562227826729, 5613755625000000], 'lmfdb_iso': '1110.g', 'lmfdb_label': '1110.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -195459, 33048382], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.1', '40.24.0-40.a.1.3', '148.12.0.?', '296.24.0.?', '740.24.0.?', '1480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8562177484520060938226589496', 'prec': 100}, 'szpiro_ratio': 6.868528455396082, '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, 1, 1, -1, -1, 4, -1, 1, 1, 4, 1, 2, -4, -1, 1, -2, -1, 0, -1], 'aplist': [-1, 1, -1, 4, 4, 2, -2, 0, 0, -6, 0, -1, -6, 4, 12, -6, 8, 10, 4, 0, -6, 0, -4, -14, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 1110, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '1110.g', 'trace_hash': 753205663897175997}
• 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': '0.024417980876598107084728626418', 'prec': 107}, 'conductor': 1110, 'gens': [], 'heights': [], 'lmfdb_label': '1110.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.42998760526459914054667926505', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7199504210583965621867170602046509292', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[239, -120, 1], [271, -136, 1]], 'xcoord_integral_points': [239, 271]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [1, 0], '5': [0, 0], '37': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1110.g2'}
• ec_torsion_growth •

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

  
  
  • id: 54604
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 4]}
  • id: 54603
    {'degree': 4, 'field': [64, 0, 21, 0, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 4]}
  • id: 54605
    {'degree': 4, 'field': [123, 14, -13, -2, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 4]}
  • id: 54606
    {'degree': 8, 'field': [-1712, 500, -638, 275, -134, -7, 7, -4, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 6]}
  • id: 54609
    {'degree': 16, 'field': [256, 0, 2048, 0, -6112, 0, 2496, 0, 2180, 0, -624, 0, -172, 0, 8, 0, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 8]}
  • id: 54608
    {'degree': 16, 'field': [104976, 0, 11602764, 0, 4664305, 0, -1292794, 0, 80979, 0, 2536, 0, -525, 0, 14, 0, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 8]}
  • id: 54610
    {'degree': 16, 'field': [1679616, 0, 1161216, 0, 260064, 0, -71872, 0, 50020, 0, 944, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '1110.g2', 'torsion': [2, 8]}
  • id: 54607
    {'degree': 16, 'field': [52535556, 19985592, 40898500, 10228440, 15053170, 2110680, 3424778, 189912, 500573, 4860, 45710, -240, 2504, -12, 76, 0, 1], 'lmfdb_label': '1110.g2', 'torsion': [4, 4]}
• 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: 15920
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1110.g2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 15921
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1110.g2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 15922
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '1110.g2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 15923
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1110.g2', 'prime': 37, '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: 1671566
    {'adelic_gens': [[1, 0, 4, 1], [373, 4, 8, 11], [1001, 2, 0, 1], [1, 4, 0, 1], [741, 4, 2, 9], [891, 2, 886, 1479], [1477, 4, 1476, 5]], 'adelic_image': '1480.48.0.?', 'conductor': 1110, 'lmfdb_label': '1110.g2', 'prime': 0}
  • id: 5272
    {'conductor': 1110, 'elladic_image': '8.12.0.1', 'lmfdb_label': '1110.g2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 1110.g does not appear in ec_padic