Elliptic curve data - 95370.cd2

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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': '95370cf', 'Clabel': '95370cf1', 'Cnumber': 1, 'abc_quality': 0.9277968178206034, 'absD': 848609263606579200, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, 1, 1, -254326, 21635699], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 95370, 'degree': 1548288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1346442461009457877876474171', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 55, 'isogeny_degrees': [1, 2], 'jinv': [75370704203521, 35157196800], 'lmfdb_iso': '95370.cd', 'lmfdb_label': '95370.cd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -880, 4352], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2098418178626238406147747495', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.71803757407283774766288010816', 'prec': 103}, 'szpiro_ratio': 4.2695597450694205, '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, -1, -1, 2, 1, 1, -1, 1, -1, -4, 2, 1, 1, 0, 1, -6, -1], 'aplist': [1, -1, -1, 2, 1, -4, 0, -6, 2, 6, 4, 2, 6, 6, -12, 0, 6, -2, 0, -6, 4, -10, -4, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 95370, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '95370.cd', 'trace_hash': 249150086531417813}
• 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': '0.013991734841015225291485881375', 'prec': 107}, 'conductor': 95370, 'gens': [[1, 4623, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2098418178626238406147747495', 'prec': 100}], 'lmfdb_label': '95370.cd2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.25165821028421732928268921625', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5250655450887346548763091857503647191', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[-543, 271, 1]], 'xcoord_integral_points': [-543, 1, 613, 753]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '95370.cd2'}
• ec_torsion_growth •

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

  
  
  • id: 4442377
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '95370.cd2', 'torsion': [2, 2]}
  • id: 4442378
    {'degree': 4, 'field': [144, -24, -9, -2, 1], 'lmfdb_label': '95370.cd2', 'torsion': [4]}
  • id: 4442379
    {'degree': 8, 'field': [-4509824, 6294464, -1226104, -317944, 34318, -1832, 359, -2, 1], 'lmfdb_label': '95370.cd2', 'torsion': [2, 4]}
  • id: 4442381
    {'degree': 8, 'field': [-887808, 0, 104176, 0, -3264, 0, 0, 0, 1], 'lmfdb_label': '95370.cd2', 'torsion': [6]}
  • id: 4442380
    {'degree': 8, 'field': [7650, -3060, -1767, -810, 997, -200, 63, -2, 1], 'lmfdb_label': '95370.cd2', 'torsion': [2, 4]}
  • id: 4442382
    {'degree': 16, 'field': [23806464, -98790912, 133650880, -72827744, 43813294, -7814152, 748988, 1731968, -564865, 16496, 71228, -44624, 10774, -1568, 244, -8, 1], 'lmfdb_label': '95370.cd2', 'torsion': [8]}
  • id: 4442383
    {'degree': 16, 'field': [12588875776, 66435506176, 71276682240, 22372196608, -429477056, -748738992, 379913840, 142608944, 9716076, 169868, 165500, 27744, 3034, 616, 75, -2, 1], 'lmfdb_label': '95370.cd2', 'torsion': [2, 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: 2337885
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '95370.cd2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 2337886
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '95370.cd2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2337887
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '95370.cd2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337888
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '95370.cd2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2337889
    {'conductor': 95370, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '95370.cd2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2291674
    {'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [3929, 562, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 95370, 'lmfdb_label': '95370.cd2', 'prime': 0}
  • id: 385109
    {'conductor': 95370, 'elladic_image': '2.3.0.1', 'lmfdb_label': '95370.cd2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4957348
    {'lmfdb_iso': '95370.cd', 'p': 7, 'prec': 20, 'unit': 47720155224189661, 'val': 0}
  • id: 4957352
    {'lmfdb_iso': '95370.cd', 'p': 13, 'prec': 20, 'unit': 1122825743727661772937, 'val': 1}
  • id: 4957354
    {'lmfdb_iso': '95370.cd', 'p': 19, 'prec': 20, 'unit': 1440220059405347502568580, 'val': 1}
  • id: 4957356
    {'lmfdb_iso': '95370.cd', 'p': 23, 'prec': 20, 'unit': 1443255175990897595352409, 'val': 1}
  • id: 4957351
    {'lmfdb_iso': '95370.cd', 'p': 29, 'prec': 20, 'unit': 2784910697492622968153570645, 'val': 1}
  • id: 4957361
    {'lmfdb_iso': '95370.cd', 'p': 31, 'prec': 20, 'unit': 3677683160032454335834731074, 'val': 1}
  • id: 4957347
    {'lmfdb_iso': '95370.cd', 'p': 37, 'prec': 20, 'unit': 81292667480092916747149385676, 'val': 1}
  • id: 4957349
    {'lmfdb_iso': '95370.cd', 'p': 41, 'prec': 20, 'unit': 4361427120343629148359582250549, 'val': 1}
  • id: 4957350
    {'lmfdb_iso': '95370.cd', 'p': 43, 'prec': 20, 'unit': 4375212397705006797337287691465, 'val': 1}
  • id: 4957359
    {'lmfdb_iso': '95370.cd', 'p': 47, 'prec': 20, 'unit': 18107492561254004691744866601312, 'val': 1}
  • id: 4957346
    {'lmfdb_iso': '95370.cd', 'p': 59, 'prec': 20, 'unit': 126593697685235839773473808946186, 'val': 1}
  • id: 4957360
    {'lmfdb_iso': '95370.cd', 'p': 61, 'prec': 20, 'unit': 580560544035868109673524672926543, 'val': 1}
  • id: 4957358
    {'lmfdb_iso': '95370.cd', 'p': 71, 'prec': 20, 'unit': 104953131021057958694882450008230553, 'val': 1}
  • id: 4957355
    {'lmfdb_iso': '95370.cd', 'p': 73, 'prec': 20, 'unit': 193906265088621081064882504338048971, 'val': 1}
  • id: 4957353
    {'lmfdb_iso': '95370.cd', 'p': 79, 'prec': 20, 'unit': 943065799491910192689733590260622383, 'val': 1}
  • id: 4957345
    {'lmfdb_iso': '95370.cd', 'p': 83, 'prec': 20, 'unit': 2305887961698732993465241426784194315, 'val': 1}
  • id: 4957357
    {'lmfdb_iso': '95370.cd', 'p': 89, 'prec': 20, 'unit': 8738837147341571725459622832999775298, 'val': 1}
  • id: 4957344
    {'lmfdb_iso': '95370.cd', 'p': 97, 'prec': 20, 'unit': 53445350594028398552389300237046872315, 'val': 1}