Elliptic curve data - 1110.g3

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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
  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': '1110f1', 'Cnumber': 1, 'abc_quality': 1.0215132881261666, 'absD': 38361600000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1480, 'ainvs': [1, 0, 1, -195139, 33162686], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1110, 'degree': 5760, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5096441581720334391140428889', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [821774646379511057449, 38361600000], 'lmfdb_iso': '1110.g', 'lmfdb_label': '1110.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -195139, 33162686], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.2', '40.24.0-40.bb.1.9', '148.12.0.?', '296.24.0.?', '370.6.0.?', '740.24.0.?', '1480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5096441581720334391140428889', 'prec': 100}, 'szpiro_ratio': 6.867827446825078, '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, -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': '0.048835961753196214169457252836', 'prec': 107}, 'conductor': 1110, 'gens': [], 'heights': [], 'lmfdb_label': '1110.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.85997521052919828109335853010', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7199504210583965621867170602046509292', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[255, -128, 1]], 'xcoord_integral_points': [255]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': [0, 0], '37': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1110.g3'}
• ec_torsion_growth •

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

  
  
  • id: 54589
    {'degree': 2, 'field': [-46, -1, 1], 'lmfdb_label': '1110.g3', 'torsion': [2, 2]}
  • id: 54591
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '1110.g3', 'torsion': [4]}
  • id: 54590
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '1110.g3', 'torsion': [4]}
  • id: 54592
    {'degree': 4, 'field': [64, 0, -21, 0, 1], 'lmfdb_label': '1110.g3', 'torsion': [2, 4]}
  • id: 54596
    {'degree': 8, 'field': [-1712, 500, -638, 275, -134, -7, 7, -4, 1], 'lmfdb_label': '1110.g3', 'torsion': [6]}
  • id: 54594
    {'degree': 8, 'field': [31, 116, -40, -136, 29, 44, -10, -4, 1], 'lmfdb_label': '1110.g3', 'torsion': [8]}
  • id: 54595
    {'degree': 8, 'field': [9963, -3852, 4452, -1240, 721, -124, 46, -4, 1], 'lmfdb_label': '1110.g3', 'torsion': [8]}
  • id: 54593
    {'degree': 8, 'field': [32926, -11054, -6511, 2752, 764, -86, -34, -2, 1], 'lmfdb_label': '1110.g3', 'torsion': [2, 4]}
  • id: 54600
    {'degree': 16, 'field': [-73307239424, -14021410688, 28048809056, 2830969008, -2744080456, -506893732, 134835026, 18525979, -1487013, 105811, 2953, 2486, -4038, 311, 23, -7, 1], 'lmfdb_label': '1110.g3', 'torsion': [2, 6]}
  • id: 54602
    {'degree': 16, 'field': [-74869824, 45757056, 5390432, 15009712, -13227616, 2854804, -2276929, 2018392, -903969, 188916, -4461, -4228, 517, 56, -11, -4, 1], 'lmfdb_label': '1110.g3', 'torsion': [12]}
  • id: 54599
    {'degree': 16, 'field': [-37404, -157560, -38090, 429720, 211019, -428940, -204290, 183120, 89231, -34560, -18670, 2520, 1729, -60, -70, 0, 1], 'lmfdb_label': '1110.g3', 'torsion': [2, 8]}
  • id: 54601
    {'degree': 16, 'field': [464, 5120, 6343, 3670, -595, -2034, -2606, 1984, -1780, 1270, -462, 202, -58, 0, 5, -4, 1], 'lmfdb_label': '1110.g3', 'torsion': [12]}
  • id: 54597
    {'degree': 16, 'field': [4498641, 0, 2641732, 0, 1085458, 0, 100724, 0, 2675, 0, 284, 0, 218, 0, -8, 0, 1], 'lmfdb_label': '1110.g3', 'torsion': [4, 4]}
  • id: 54598
    {'degree': 16, 'field': [208975936, 0, 120644192, 0, 31797748, 0, 5144580, 0, 574641, 0, 44040, 0, 2218, 0, 68, 0, 1], 'lmfdb_label': '1110.g3', '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: 15916
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '1110.g3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 15917
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1110.g3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 15918
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1110.g3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 15919
    {'conductor': 1110, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1110.g3', 'prime': 37, '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: 1671567
    {'adelic_gens': [[1, 0, 8, 1], [7, 6, 1474, 1475], [1044, 1, 823, 6], [193, 188, 190, 927], [563, 558, 930, 187], [896, 3, 5, 2], [1473, 8, 1472, 9], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '1480.48.0.?', 'conductor': 1110, 'lmfdb_label': '1110.g3', 'prime': 0}
  • id: 5273
    {'conductor': 1110, 'elladic_image': '8.12.0.12', 'lmfdb_label': '1110.g3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1110.g does not appear in ec_padic