Elliptic curve data - 6762.v1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6762v', 'Clabel': '6762v2', 'Cnumber': 2, 'abc_quality': 1.1220416108192128, 'absD': 2689729320978, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [1, 0, 1, -3554, 20234], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6762, 'degree': 18432, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0759952049686622369640907330', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [42180533641, 22862322], 'lmfdb_iso': '6762.v', 'lmfdb_label': '6762.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -72, -90], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '92.6.0.?', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 49], [3, 4, 2254], [7, 32, 138], [23, 24, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10304013044100558441141436128', 'prec': 103}, 'szpiro_ratio': 4.098013649316794, '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, 4, -1, 0, -1, 1, -4, 2, 1, -2, 0, 4, 1, -2, -1, 2, 4], 'aplist': [-1, 1, 4, 0, 2, -2, -2, 2, 1, -6, 0, 4, 10, -10, 8, 0, 0, 4, 2, 8, 2, -8, 6, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 6762, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6762.v', 'trace_hash': 1166104672992390059}
• 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': '0.11625253713480242204711264324', 'prec': 103}, 'conductor': 6762, 'gens': [], 'heights': [], 'lmfdb_label': '6762.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70539802949528505481403461796', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8215921179811402192561384718466470607', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[23, -27, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [3, 0], '7': 'a', '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6762.v1'}
• ec_torsion_growth •

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

  
  
  • id: 355295
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '6762.v1', 'torsion': [2, 2]}
  • id: 355296
    {'degree': 4, 'field': [392, 0, 21, 0, 1], 'lmfdb_label': '6762.v1', 'torsion': [4]}
  • id: 355299
    {'degree': 8, 'field': [-4002, 1725, -1932, 413, -203, -7, 7, -4, 1], 'lmfdb_label': '6762.v1', 'torsion': [6]}
  • id: 355298
    {'degree': 8, 'field': [324, 0, -3456, 0, -198, 0, -24, 0, 1], 'lmfdb_label': '6762.v1', 'torsion': [2, 4]}
  • id: 355297
    {'degree': 8, 'field': [3364, 0, -76, 0, 533, 0, 32, 0, 1], 'lmfdb_label': '6762.v1', 'torsion': [2, 4]}
  • id: 355301
    {'degree': 16, 'field': [61653074, -13706084, 15981805, -4542804, 2223676, 136262, -194873, 164752, -89403, 35986, -11221, 2408, -553, 42, 14, -8, 1], 'lmfdb_label': '6762.v1', 'torsion': [2, 6]}
  • id: 355300
    {'degree': 16, 'field': [544195584, 0, 16803072, 0, 107940132, 0, -16424616, 0, 1785898, 0, -99716, 0, 3815, 0, -74, 0, 1], 'lmfdb_label': '6762.v1', 'torsion': [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: 137623
    {'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6762.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 137624
    {'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6762.v1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 137625
    {'conductor': 6762, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '6762.v1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 137626
    {'conductor': 6762, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6762.v1', 'prime': 23, '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: 1708643
    {'adelic_gens': [[2, 1, 91, 0], [1, 2, 2, 5], [25, 162, 160, 23], [3, 4, 8, 11], [181, 4, 180, 5], [1, 4, 0, 1], [97, 4, 10, 9], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 6762, 'lmfdb_label': '6762.v1', 'prime': 0}
  • id: 33477
    {'conductor': 6762, 'elladic_image': '8.6.0.6', 'lmfdb_label': '6762.v1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 6762.v does not appear in ec_padic