Elliptic curve data - 40950.dh1

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

  
  {'Ciso': '40950dm', 'Clabel': '40950dm8', 'Cnumber': 8, 'abc_quality': 1.087781017100558, 'absD': 563172926921718750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -9042852380, 330985708384497], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 40950, 'degree': 21233664, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9418068512779237283844486114', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 85, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [7179471593960193209684686321, 49441793310], 'lmfdb_iso': '40950.dh', 'lmfdb_label': '40950.dh1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -40190455, -98072518885], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '15.8.0-3.a.1.2', '24.48.0.bt.2', '30.24.0-6.a.1.2', '56.12.0.bb.1', '60.48.0-12.g.1.1', '120.96.0.?', '156.48.0.?', '168.96.1.?', '312.96.0.?', '520.12.0.?', '780.96.0.?', '840.192.1.?', '1560.192.1.?', '2184.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.512057282191765644889248516', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5877817507268186953864463263', 'prec': 100}, 'szpiro_ratio': 7.5695399140357775, '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, 0, 0, -1, -1, 0, 1, 6, 0, -4, 0], 'aplist': [1, 0, 0, -1, 0, -1, 6, -4, 0, -6, -4, 10, -6, -8, 0, -6, 12, 14, 4, 0, -2, 8, -12, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 40950, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '40950.dh', 'trace_hash': 1502195035382315749}
• 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': '0.00037686870169010841987601364244', 'prec': 113}, 'conductor': 40950, 'gens': [[1254380352269, 1067094006081581895, 3196]], 'heights': [{'__RealLiteral__': 0, 'data': '22.512057282191765644889248516', 'prec': 100}], 'lmfdb_label': '40950.dh1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.097370380804129678429641814886', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7680303610055713473294079028102647001', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[219611, -219615, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '40950.dh1'}
• ec_torsion_growth •

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

  
  
  • id: 2015616
    {'degree': 2, 'field': [-910, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 2]}
  • id: 2015618
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [4]}
  • id: 2015617
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [4]}
  • id: 2015619
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '40950.dh1', 'torsion': [6]}
  • id: 2015622
    {'degree': 4, 'field': [1405, 80, -79, -2, 1], 'lmfdb_label': '40950.dh1', 'torsion': [12]}
  • id: 2015623
    {'degree': 4, 'field': [1639, 86, -85, -2, 1], 'lmfdb_label': '40950.dh1', 'torsion': [12]}
  • id: 2015620
    {'degree': 4, 'field': [29241, 0, -498, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 4]}
  • id: 2015621
    {'degree': 4, 'field': [32579, 366, -365, -2, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 6]}
  • id: 2015624
    {'degree': 6, 'field': [2400, 0, 0, -90, 0, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [6]}
  • id: 2015626
    {'degree': 8, 'field': [50176, 0, -174064, 0, 10356, 0, -184, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [8]}
  • id: 2015628
    {'degree': 8, 'field': [1109809, 279444, -264332, -29996, 14429, 680, -222, -4, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 12]}
  • id: 2015627
    {'degree': 8, 'field': [13249600, 0, 203840, 0, 6174, 0, 56, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [8]}
  • id: 2015625
    {'degree': 8, 'field': [1067953240, -3804160, 3739240, 129800, -64799, -124, 46, -4, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 4]}
  • id: 2015629
    {'degree': 12, 'field': [95401, 71733, -6381, -560, -1155, -1707, 1424, -273, -75, -10, 9, -3, 1], 'lmfdb_label': '40950.dh1', 'torsion': [3, 6]}
  • id: 2015632
    {'degree': 12, 'field': [22344736, 38888640, 22101744, 3519360, -91560, 211680, 67780, 0, 2940, -180, 84, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [12]}
  • id: 2015631
    {'degree': 12, 'field': [126562500, 0, 0, 0, 0, 0, 260640, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [12]}
  • id: 2015630
    {'degree': 12, 'field': [2326223959131136, -6320182901760, -9574163079936, -60768397440, 65832617760, 262342080, -150701300, 163800, 496860, -180, -546, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 6]}
  • id: 2015635
    {'degree': 16, 'field': [66814276, 0, -153442568, 0, 121302128, 0, -39808236, 0, 5745365, 0, -383136, 0, 12458, 0, -188, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 8]}
  • id: 2015637
    {'degree': 16, 'field': [777517456, 0, -2787577332, 0, 2153641345, 0, -356989452, 0, 26037084, 0, -998778, 0, 20980, 0, -228, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [24]}
  • id: 2015634
    {'degree': 16, 'field': [64450979154, -76428300456, 110499422100, -69269874408, 37421031130, -3250432976, 927125696, 137051064, -37900589, 2184440, -199640, -124936, 17122, 1680, -220, -8, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 8]}
  • id: 2015638
    {'degree': 16, 'field': [573537601519, -85554476892, 155145703874, -19736441120, 18446384501, -1936704864, 1256444942, -106047300, 53521870, -3518604, 1456354, -70984, 24681, -808, 238, -4, 1], 'lmfdb_label': '40950.dh1', 'torsion': [24]}
  • id: 2015633
    {'degree': 16, 'field': [4679201613996100, 0, 127999114264400, 0, 3267060410980, 0, 26403860720, 0, 342916381, 0, 572204, 0, 35326, 0, -76, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [4, 4]}
  • id: 2015636
    {'degree': 16, 'field': [1148524859567335441, 0, 7113848161664228, 0, -121431040918982, 0, -360246134224, 0, 6798880675, 0, 2272016, 0, -128822, 0, 68, 0, 1], 'lmfdb_label': '40950.dh1', 'torsion': [2, 12]}
  • id: 2015639
    {'degree': 18, 'field': [-1032376108399, 712174100874, 1937193883530, 1669489351175, -1618297770879, -738206963178, 544531424248, 88415939739, -32487253986, -3671208609, 883195875, 73319355, -13202581, -772641, 112809, 4154, -519, -9, 1], 'lmfdb_label': '40950.dh1', '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: 971478
    {'conductor': 40950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '40950.dh1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 971479
    {'conductor': 40950, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '40950.dh1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 971480
    {'conductor': 40950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '40950.dh1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 971481
    {'conductor': 40950, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '40950.dh1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 971482
    {'conductor': 40950, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '40950.dh1', 'prime': 13, '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: 1937464
    {'adelic_gens': [[9099, 7276, 10900, 5379], [1, 12, 12, 145], [2734, 3, 2775, 34], [15, 106, 9614, 1691], [8646, 10489, 5915, 7736], [2168, 10899, 285, 374], [10897, 24, 10896, 25], [1, 24, 0, 1], [1696, 21, 3915, 10546], [4696, 3, 1101, 10834], [1, 0, 24, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 40950, 'lmfdb_label': '40950.dh1', 'prime': 0}
  • id: 179532
    {'conductor': 40950, 'elladic_image': '4.6.0.1', 'lmfdb_label': '40950.dh1', 'modell_image': '2B', 'prime': 2}
  • id: 179533
    {'conductor': 40950, 'elladic_image': '3.4.0.1', 'lmfdb_label': '40950.dh1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2033206
    {'lmfdb_iso': '40950.dh', 'p': 17, 'prec': 20, 'unit': 131936266347333445357536, 'val': 1}
  • id: 2033198
    {'lmfdb_iso': '40950.dh', 'p': 19, 'prec': 20, 'unit': 1811530656035423150790793, 'val': 1}
  • id: 2033204
    {'lmfdb_iso': '40950.dh', 'p': 29, 'prec': 20, 'unit': 1878502508680069533736601631, 'val': 1}
  • id: 2033213
    {'lmfdb_iso': '40950.dh', 'p': 31, 'prec': 20, 'unit': 1586569013859476678651322530, 'val': 1}
  • id: 2033201
    {'lmfdb_iso': '40950.dh', 'p': 37, 'prec': 20, 'unit': 206795420777500219396774901152, 'val': 1}
  • id: 2033202
    {'lmfdb_iso': '40950.dh', 'p': 41, 'prec': 20, 'unit': 2400398059446752841211266973081, 'val': 1}
  • id: 2033203
    {'lmfdb_iso': '40950.dh', 'p': 43, 'prec': 20, 'unit': 6834564469468652488495934011784, 'val': 1}
  • id: 2033208
    {'lmfdb_iso': '40950.dh', 'p': 53, 'prec': 20, 'unit': 9331020278539643951725116139254, 'val': 1}
  • id: 2033211
    {'lmfdb_iso': '40950.dh', 'p': 59, 'prec': 20, 'unit': 37687764592229234964213892616191, 'val': 1}
  • id: 2033212
    {'lmfdb_iso': '40950.dh', 'p': 61, 'prec': 20, 'unit': 3318492391631300697503392219551881, 'val': 1}
  • id: 2033200
    {'lmfdb_iso': '40950.dh', 'p': 67, 'prec': 20, 'unit': 45724197423031166320507524762170452, 'val': 1}
  • id: 2033209
    {'lmfdb_iso': '40950.dh', 'p': 73, 'prec': 20, 'unit': 109034238569022203362579896389193758, 'val': 1}
  • id: 2033205
    {'lmfdb_iso': '40950.dh', 'p': 79, 'prec': 20, 'unit': 837826525783775401721271893471740281, 'val': 1}
  • id: 2033207
    {'lmfdb_iso': '40950.dh', 'p': 83, 'prec': 20, 'unit': 1198998679508483414104917897130066731, 'val': 1}
  • id: 2033210
    {'lmfdb_iso': '40950.dh', 'p': 89, 'prec': 20, 'unit': 10295901189753501909078373532266926813, 'val': 1}
  • id: 2033199
    {'lmfdb_iso': '40950.dh', 'p': 97, 'prec': 20, 'unit': 26583200999297263041324470736417269371, 'val': 1}