Elliptic curve data - 10640.w2

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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': '10640k', 'Clabel': '10640k2', 'Cnumber': 2, 'abc_quality': 0.8927625637287961, 'absD': 196661248000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 15960, 'ainvs': [0, -1, 0, 504, 20720], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 10640, 'degree': 10368, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84778555509699706706133946019', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [3449795831, 48013000], 'lmfdb_iso': '10640.w', 'lmfdb_label': '10640.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 31, -324], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '5320.2.0.?', '15960.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 665], [3, 2, 112], [5, 6, 2128], [7, 8, 1520], [19, 20, 560]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15463837453705175764410733873', 'prec': 103}, 'szpiro_ratio': 3.603930591291892, '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, 0, 2, 0, -1, 0, -1, 0, 1, 0, 3, 0, 5, 0, -2, 0, -3, 0, -1, 0], 'aplist': [0, 2, -1, -1, 3, 5, -3, -1, -3, -3, 4, 8, -3, 4, -6, 0, 9, 5, 7, 3, 2, 13, 9, -6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 10640, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '10640.w', 'trace_hash': 182315319252048861}
• 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': '0.18349440357270287542075038290', 'prec': 103}, 'conductor': 10640, 'gens': [], 'heights': [], 'lmfdb_label': '10640.w2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.74519136056691198002660212440', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9807654422676479201064084975976063413', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 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': '10640.w2'}
• ec_torsion_growth •

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

  
  
  • id: 550922
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [3]}
  • id: 550923
    {'degree': 3, 'field': [-28, 0, -1, 1], 'lmfdb_label': '10640.w2', 'torsion': [2]}
  • id: 550925
    {'degree': 6, 'field': [49, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [3]}
  • id: 550926
    {'degree': 6, 'field': [934, -522, 77, -44, -8, -2, 1], 'lmfdb_label': '10640.w2', 'torsion': [6]}
  • id: 550924
    {'degree': 6, 'field': [21280, 0, 1, 0, -2, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [2, 2]}
  • id: 550927
    {'degree': 12, 'field': [-260680, 0, -37093, 0, -1323, 0, -14, 0, -42, 0, -1, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [4]}
  • id: 550928
    {'degree': 12, 'field': [4096, 0, 2496, 0, 1329, 0, 245, 0, 48, 0, -3, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [3, 3]}
  • id: 550929
    {'degree': 12, 'field': [453349264, 0, 4255328, 0, 1831128, 0, 41920, 0, 177, 0, -22, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [2, 6]}
  • id: 550930
    {'degree': 18, 'field': [-2541477708, 0, -3906734328, 0, -735138180, 0, 983014137, 0, 26838378, 0, 383859, 0, -72516, 0, -1125, 0, -6, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [9]}
  • id: 550931
    {'degree': 18, 'field': [7529536, 0, 0, 0, 0, 0, 123529, 0, 0, 0, 0, 0, 574, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10640.w2', 'torsion': [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: 226449
    {'conductor': 10640, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '10640.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 226450
    {'conductor': 10640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10640.w2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 226451
    {'conductor': 10640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10640.w2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 226452
    {'conductor': 10640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10640.w2', 'prime': 19, '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: 1734429
    {'adelic_gens': [[7981, 6, 7983, 19], [4, 3, 9, 7], [4658, 11307, 13975, 7987], [13681, 6, 9123, 19], [9577, 6, 12771, 19], [15955, 6, 15954, 7], [1, 6, 0, 1], [4201, 6, 12603, 19], [3, 4, 8, 11], [11969, 15954, 3987, 15941], [1, 0, 6, 1]], 'adelic_image': '15960.16.0.?', 'conductor': 10640, 'lmfdb_label': '10640.w2', 'prime': 0}
  • id: 51204
    {'conductor': 10640, 'elladic_image': '3.4.0.1', 'lmfdb_label': '10640.w2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 10640.w does not appear in ec_padic