Elliptic curve data - 1210.e1

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

  
  {'Ciso': '1210c', 'Clabel': '1210c1', 'Cnumber': 1, 'abc_quality': 0.93814512349847, 'absD': 779486840, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [1, 0, 1, -124, -1454], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1210, 'degree': 480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.39184216580320083718369206679', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-117649, 440], 'lmfdb_iso': '1210.e', 'lmfdb_label': '1210.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 1], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.2', '120.8.0.?', '440.2.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 605], [3, 2, 605], [5, 6, 242], [11, 72, 10]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80710547059598443484727972219', 'prec': 107}, 'szpiro_ratio': 3.9548115837442834, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, -1, -2, 1, 0, 1, -2, -1, -1, 1, 3, 2, 1, -1], 'aplist': [-1, 1, -1, 1, 0, -2, 3, 1, 6, 9, 5, 5, 6, -8, 6, 9, 6, -5, 8, -9, 10, -14, 6, -15, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 1210, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1210.e', 'trace_hash': 631588693188196908}
• 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': '0.45672019900195918691080075116', 'prec': 103}, 'conductor': 1210, 'gens': [], 'heights': [], 'lmfdb_label': '1210.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.65542631629122330572671582582', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3108526325824466114534316516378941715', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [2, 0], '5': [0, 0], '7': [2, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '1210.e1'}
• ec_torsion_growth •

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

  
  
  • id: 59894
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '1210.e1', 'torsion': [3]}
  • id: 59895
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '1210.e1', 'torsion': [2]}
  • id: 59897
    {'degree': 6, 'field': [-204, -93, 91, 3, 1, -3, 1], 'lmfdb_label': '1210.e1', 'torsion': [3]}
  • id: 59898
    {'degree': 6, 'field': [5, 10, 8, 0, -2, -2, 1], 'lmfdb_label': '1210.e1', 'torsion': [6]}
  • id: 59896
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '1210.e1', 'torsion': [2, 2]}
  • id: 59899
    {'degree': 12, 'field': [-22256, 12632, 28339, 29468, -3711, -4172, 273, 80, 181, -60, 7, -4, 1], 'lmfdb_label': '1210.e1', 'torsion': [4]}
  • id: 59901
    {'degree': 12, 'field': [1809, -5742, 7173, -4426, 1418, -86, -291, 242, -78, -2, 13, -6, 1], 'lmfdb_label': '1210.e1', 'torsion': [2, 6]}
  • id: 59900
    {'degree': 12, 'field': [41616, 18972, 27213, -7239, 8764, 1071, -769, 456, -81, -9, 8, -3, 1], 'lmfdb_label': '1210.e1', 'torsion': [3, 3]}
  • id: 59903
    {'degree': 18, 'field': [10624, 51952, 91080, 54412, 101076, 394016, 611094, 467843, 188103, 46782, 21862, 9633, 781, 101, 19, 32, 0, -3, 1], 'lmfdb_label': '1210.e1', 'torsion': [6]}
  • id: 59902
    {'degree': 18, 'field': [82064, -183888, 197664, -181248, 458400, -270768, 27360, -88848, 84816, -18796, 6012, -7752, 2839, -483, 288, -107, 12, -3, 1], 'lmfdb_label': '1210.e1', 'torsion': [9]}
• 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: 17739
    {'conductor': 1210, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1210.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 17740
    {'conductor': 1210, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1210.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 17741
    {'conductor': 1210, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '1210.e1', 'prime': 11, 'reduction_type': 0, '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: 1672163
    {'adelic_gens': [[4, 3, 9, 7], [1057, 6, 531, 19], [606, 721, 385, 771], [991, 6, 0, 1], [1315, 6, 1314, 7], [661, 6, 663, 19], [1, 6, 0, 1], [3, 4, 8, 11], [119, 1314, 357, 1301], [1, 0, 6, 1]], 'adelic_image': '1320.16.0.?', 'conductor': 1210, 'lmfdb_label': '1210.e1', 'prime': 0}
  • id: 5780
    {'conductor': 1210, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1210.e1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 1210.e does not appear in ec_padic