Elliptic curve data - 5850.m3

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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': '5850n', 'Clabel': '5850n1', 'Cnumber': 1, 'abc_quality': 0.8780552029900824, 'absD': 106616250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [1, -1, 0, -3042, -61884], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5850, 'degree': 6144, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88791046283991477756063539850', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [273359449, 9360], 'lmfdb_iso': '5850.m', 'lmfdb_label': '5850.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -13, 13], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.2', '40.12.0.bb.1', '104.12.0.?', '120.24.0.?', '130.6.0.?', '260.12.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2552918540837847893883620713', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 8, 650], [5, 18, 234], [13, 14, 450]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46611463771119025543736688657', 'prec': 107}, 'szpiro_ratio': 4.11272646938501, '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, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1, -6, 0, 0, 0], 'aplist': [-1, 0, 0, 0, 0, 1, -6, 0, -4, 10, 0, 6, -2, 4, 0, -6, 0, 6, -4, -16, 2, 0, 4, 6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 5850, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '5850.m', 'trace_hash': 1768212702200815537}
• 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': '0.16934437327690167056967721871', 'prec': 103}, 'conductor': 5850, 'gens': [[-27, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2552918540837847893883620713', 'prec': 100}], 'lmfdb_label': '5850.m3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.64419193793812594701961841646', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9056816601966049803704153714104820403', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-36, 18, 1]], 'xcoord_integral_points': [-36, -27, 64, 8245]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [3, 1, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '5850.m3'}
• ec_torsion_growth •

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

  
  
  • id: 304759
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '5850.m3', 'torsion': [2, 2]}
  • id: 304761
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '5850.m3', 'torsion': [4]}
  • id: 304760
    {'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '5850.m3', 'torsion': [4]}
  • id: 304762
    {'degree': 4, 'field': [256, 16, 17, -1, 1], 'lmfdb_label': '5850.m3', 'torsion': [2, 4]}
  • id: 304766
    {'degree': 8, 'field': [-13266, -10585, 2458, 1023, 605, -107, -15, -4, 1], 'lmfdb_label': '5850.m3', 'torsion': [6]}
  • id: 304763
    {'degree': 8, 'field': [256, 1856, 1204, 1952, 789, -56, -59, -2, 1], 'lmfdb_label': '5850.m3', 'torsion': [2, 4]}
  • id: 304765
    {'degree': 8, 'field': [5041, 142, -635, 302, 14, -22, -5, -2, 1], 'lmfdb_label': '5850.m3', 'torsion': [8]}
  • id: 304764
    {'degree': 8, 'field': [13744, -832, 4632, 2288, 80, -104, -14, 0, 1], 'lmfdb_label': '5850.m3', 'torsion': [8]}
  • id: 304772
    {'degree': 16, 'field': [281961, -885708, 1879524, -1586688, 657622, -384924, 255168, -62176, 47367, -53748, 17376, -792, 654, -328, 12, 0, 1], 'lmfdb_label': '5850.m3', 'torsion': [12]}
  • id: 304768
    {'degree': 16, 'field': [1679616, 0, -279936, 0, 25920, 0, 12096, 0, -2336, 0, 336, 0, 20, 0, -6, 0, 1], 'lmfdb_label': '5850.m3', 'torsion': [2, 8]}
  • id: 304770
    {'degree': 16, 'field': [1837796, -303092, 1449213, -1828194, -488518, 2379126, -2003987, 1139716, -411633, 83384, -15029, -1632, 909, -322, 66, -8, 1], 'lmfdb_label': '5850.m3', 'torsion': [2, 6]}
  • id: 304767
    {'degree': 16, 'field': [5764801, 0, -3286969, 0, 1019405, 0, -252066, 0, 57254, 0, -14706, 0, 2045, 0, -49, 0, 1], 'lmfdb_label': '5850.m3', 'torsion': [4, 4]}
  • id: 304769
    {'degree': 16, 'field': [16777216, 0, -4882432, 0, 650816, 0, -43872, 0, 5024, 0, -1752, 0, 296, 0, -22, 0, 1], 'lmfdb_label': '5850.m3', 'torsion': [2, 8]}
  • id: 304771
    {'degree': 16, 'field': [668643756, -86331318, 112767379, -55959860, 35916250, -10130416, 4385489, -857248, 200735, 16040, -10435, 4228, -917, 70, 10, -8, 1], 'lmfdb_label': '5850.m3', 'torsion': [12]}
• 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: 115576
    {'conductor': 5850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '5850.m3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 115577
    {'conductor': 5850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '5850.m3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 115578
    {'conductor': 5850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '5850.m3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 115579
    {'conductor': 5850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5850.m3', '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: 1702306
    {'adelic_gens': [[1204, 1041, 423, 526], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1243, 198, 330, 67], [7, 6, 1554, 1555], [1553, 8, 1552, 9], [824, 1557, 1035, 518], [1039, 0, 0, 1559], [73, 588, 1110, 847]], 'adelic_image': '1560.48.0.?', 'conductor': 5850, 'lmfdb_label': '5850.m3', 'prime': 0}
  • id: 28892
    {'conductor': 5850, 'elladic_image': '4.6.0.1', 'lmfdb_label': '5850.m3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 224857
    {'lmfdb_iso': '5850.m', 'p': 17, 'prec': 20, 'unit': 57001138375377242349544, 'val': 1}
  • id: 224861
    {'lmfdb_iso': '5850.m', 'p': 23, 'prec': 20, 'unit': 63663772807280132097484853, 'val': 1}
  • id: 224856
    {'lmfdb_iso': '5850.m', 'p': 29, 'prec': 20, 'unit': 3139236529886063952707010471, 'val': 1}
  • id: 224852
    {'lmfdb_iso': '5850.m', 'p': 37, 'prec': 20, 'unit': 324333770101348244480017713634, 'val': 1}
  • id: 224854
    {'lmfdb_iso': '5850.m', 'p': 41, 'prec': 20, 'unit': 948145155450417961473904089531, 'val': 1}
  • id: 224855
    {'lmfdb_iso': '5850.m', 'p': 43, 'prec': 20, 'unit': 4983538048784798048899186197754, 'val': 1}
  • id: 224859
    {'lmfdb_iso': '5850.m', 'p': 53, 'prec': 20, 'unit': 220877853328988371403767816220389, 'val': 1}
  • id: 224863
    {'lmfdb_iso': '5850.m', 'p': 61, 'prec': 20, 'unit': 2767700913443559937710338237676998, 'val': 1}
  • id: 224851
    {'lmfdb_iso': '5850.m', 'p': 67, 'prec': 20, 'unit': 39350629069631339688586553935873891, 'val': 1}
  • id: 224853
    {'lmfdb_iso': '5850.m', 'p': 71, 'prec': 20, 'unit': 115778392189017356629134222097714837, 'val': 1}
  • id: 224860
    {'lmfdb_iso': '5850.m', 'p': 73, 'prec': 20, 'unit': 200924544253352301710794051772257641, 'val': 1}
  • id: 224858
    {'lmfdb_iso': '5850.m', 'p': 83, 'prec': 20, 'unit': 2558779582193843853720493911122018407, 'val': 1}
  • id: 224862
    {'lmfdb_iso': '5850.m', 'p': 89, 'prec': 20, 'unit': 9864665332068959280718076656538489873, 'val': 1}
  • id: 224850
    {'lmfdb_iso': '5850.m', 'p': 97, 'prec': 20, 'unit': 12922988454452121338949300015473411132, 'val': 1}