Elliptic curve data - 40950.ed4

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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': '40950cy', 'Clabel': '40950cy1', 'Cnumber': 1, 'abc_quality': 0.9896845589755124, 'absD': 1140333626250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -219755, 39672747], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 40950, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8099592398241354781301888253', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 107, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2781982314427707, 2703013040], 'lmfdb_iso': '40950.ed', 'lmfdb_label': '40950.ed4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -8790, 319140], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '42.24.0-6.a.1.1', '156.24.0.?', '210.48.0.?', '780.48.0.?', '1092.48.0.?', '1820.6.0.?', '5460.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 6, 350], [5, 18, 1638], [7, 8, 5850], [13, 14, 3150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73058721144005786798099784946', 'prec': 103}, 'szpiro_ratio': 4.5681652796912635, '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, 0, 1, 0, 0, -1, 1, 0, 0, 6, 0, -1, -1, 0, 1, 0, 0, -4, 0], 'aplist': [1, 0, 0, -1, 6, -1, 0, -4, 0, 0, -4, 4, -6, 10, -6, 6, 0, -10, 4, -6, -2, -4, -6, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 40950, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '40950.ed', 'trace_hash': 2099927480602247772}
• 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': '0.026784859914841566156620874950', 'prec': 107}, 'conductor': 40950, 'gens': [], 'heights': [], 'lmfdb_label': '40950.ed4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48585762100145291858808708474', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8868609680116233487046966778907607993', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-541, 270, 1]], 'xcoord_integral_points': [-541]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [0, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '40950.ed4'}
• ec_torsion_growth •

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

  
  
  • id: 2015169
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 2]}
  • id: 2015170
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '40950.ed4', 'torsion': [6]}
  • id: 2015172
    {'degree': 4, 'field': [16, 0, -13, 0, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 6]}
  • id: 2015171
    {'degree': 4, 'field': [256, -32, -6, -2, 1], 'lmfdb_label': '40950.ed4', 'torsion': [4]}
  • id: 2015173
    {'degree': 6, 'field': [5734, -1518, -150, 115, 15, -3, 1], 'lmfdb_label': '40950.ed4', 'torsion': [6]}
  • id: 2015174
    {'degree': 8, 'field': [-7544, 17284, -790, -2489, 469, 86, -40, -1, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 4]}
  • id: 2015176
    {'degree': 8, 'field': [1600, 0, -1280, 0, 609, 0, 46, 0, 1], 'lmfdb_label': '40950.ed4', 'torsion': [12]}
  • id: 2015175
    {'degree': 8, 'field': [98266, 63070, -353, -4838, 49, 442, 109, -2, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 4]}
  • id: 2015178
    {'degree': 12, 'field': [20070400, 0, 0, 0, 0, 0, -6160, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 6]}
  • id: 2015177
    {'degree': 12, 'field': [26822041, -3278307, -686901, 1265400, -41355, -43887, 26684, 627, -615, 270, 9, -3, 1], 'lmfdb_label': '40950.ed4', 'torsion': [3, 6]}
  • id: 2015180
    {'degree': 16, 'field': [-22784, 191552, -206704, 14808, 34316, -57944, 31234, -8316, 787, -576, 1114, -4, -424, 168, -4, -8, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 12]}
  • id: 2015181
    {'degree': 16, 'field': [79218064, -14174944, 22238360, 45568464, 14317985, 885418, 1621273, -992334, 894514, -126822, 92761, -8770, 4754, -234, 113, -2, 1], 'lmfdb_label': '40950.ed4', 'torsion': [2, 12]}
  • id: 2015179
    {'degree': 16, 'field': [1330352260, 947387300, 31924786, -463812766, 223085555, -32491444, 20094283, -10042376, 2883688, -565008, 122803, -28104, 4264, -736, 109, -6, 1], 'lmfdb_label': '40950.ed4', 'torsion': [8]}
  • id: 2015182
    {'degree': 18, 'field': [20531321396351, -8591490098532, 1418975130660, 116413896267, -77748460989, 19605560616, -3977803524, 439562877, 3871608, -16926379, 2669901, -166959, 54957, -20067, 381, 630, -87, -3, 1], 'lmfdb_label': '40950.ed4', 'torsion': [18]}
• 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: 971283
    {'conductor': 40950, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '40950.ed4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 971284
    {'conductor': 40950, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '40950.ed4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 971285
    {'conductor': 40950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '40950.ed4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 971286
    {'conductor': 40950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '40950.ed4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 971287
    {'conductor': 40950, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '40950.ed4', 'prime': 13, '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: 1937528
    {'adelic_gens': [[5449, 12, 5448, 13], [459, 2278, 3206, 5021], [1, 0, 12, 1], [1832, 11, 1785, 5428], [5450, 5457, 1119, 8], [1, 6, 6, 37], [1570, 3, 2313, 5452], [1, 12, 0, 1], [4201, 12, 3366, 73], [11, 2, 5410, 5451]], 'adelic_image': '5460.96.1.?', 'conductor': 40950, 'lmfdb_label': '40950.ed4', 'prime': 0}
  • id: 179606
    {'conductor': 40950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '40950.ed4', 'modell_image': '2B', 'prime': 2}
  • id: 179607
    {'conductor': 40950, 'elladic_image': '3.4.0.1', 'lmfdb_label': '40950.ed4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 40950.ed does not appear in ec_padic