Elliptic curve data - 762.g2

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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': '762f', 'Clabel': '762f1', 'Cnumber': 1, 'abc_quality': 0.981578436943577, 'absD': 19997928, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3048, 'ainvs': [1, 0, 0, -8, -216], 'analytic_rank': 0, 'bad_primes': [2, 3, 127], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 762, 'degree': 180, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.080090148210099425193040828128', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-57066625, 19997928], 'lmfdb_iso': '762.g', 'lmfdb_label': '762.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8, -216], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '3048.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 381], [3, 4, 127], [127, 128, 6]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.080090148210099425193040828128', 'prec': 107}, 'szpiro_ratio': 3.6569777972515864, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 0, 1, -1, 1, 1, 0, 0, 1, 2, -1, 0, 1, 6, 1, 5, 0], 'aplist': [1, 1, 0, -1, 0, 2, 6, 5, 0, 6, -4, 8, -12, -10, -9, 0, 9, -4, -10, 15, -1, -16, -9, -9, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 762, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '762.g', 'trace_hash': 982343855875190801}
• 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': '0.85199016434096719262038908091', 'prec': 103}, 'conductor': 762, 'gens': [], 'heights': [], 'lmfdb_label': '762.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.96941088983556196788009777921', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9082326695066859036402933376352618071', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [[10, 22, 1]], 'xcoord_integral_points': [10]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '127': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '762.g2'}
• ec_torsion_growth •

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

  
  
  • id: 35363
    {'degree': 3, 'field': [10, 2, -1, 1], 'lmfdb_label': '762.g2', 'torsion': [6]}
  • id: 35365
    {'degree': 6, 'field': [588, 42, -41, -3, 4, -3, 1], 'lmfdb_label': '762.g2', 'torsion': [3, 3]}
  • id: 35364
    {'degree': 6, 'field': [3048, 0, 25, 0, 10, 0, 1], 'lmfdb_label': '762.g2', 'torsion': [2, 6]}
  • id: 35366
    {'degree': 9, 'field': [288, -1584, -2856, -548, 756, 300, 11, -9, -3, 1], 'lmfdb_label': '762.g2', 'torsion': [9]}
  • id: 35367
    {'degree': 12, 'field': [3253359, -5498592, 4570476, -787908, -308653, 39776, 22360, -4088, -899, 320, -4, -4, 1], 'lmfdb_label': '762.g2', 'torsion': [12]}
  • id: 35368
    {'degree': 18, 'field': [356231952, 182669688, 235480860, -87453756, 11838504, -27890682, 32994481, -719787, -1029951, 815010, 39357, -29097, 4792, -573, 117, -96, 15, -3, 1], 'lmfdb_label': '762.g2', 'torsion': [3, 6]}
• 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: 9629
    {'conductor': 762, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '762.g2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 9630
    {'conductor': 762, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '762.g2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 9631
    {'conductor': 762, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '762.g2', 'prime': 127, '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: 1669448
    {'adelic_gens': [[3043, 6, 3042, 7], [4, 3, 9, 7], [2287, 6, 765, 19], [1273, 6, 771, 19], [1, 6, 0, 1], [3, 4, 8, 11], [1525, 6, 1527, 19], [1398, 1657, 2035, 654], [1, 0, 6, 1]], 'adelic_image': '3048.16.0.?', 'conductor': 762, 'lmfdb_label': '762.g2', 'prime': 0}
  • id: 3443
    {'conductor': 762, 'elladic_image': '3.8.0.1', 'lmfdb_label': '762.g2', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 762.g does not appear in ec_padic