Elliptic curve data - 102850.co1

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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': '102850cb', 'Clabel': '102850cb2', 'Cnumber': 2, 'abc_quality': 1.003516346580922, 'absD': 33998746847656250000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 22440, 'ainvs': [1, 1, 1, -20089088, 35765845281], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 102850, 'degree': 8709120, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0934392791120258086352759073', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 66, 'isogeny_degrees': [1, 3], 'jinv': [-32391289681150609, 1228250000000], 'lmfdb_iso': '102850.co', 'lmfdb_label': '102850.co1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6641, -215575], 'min_quad_twist_disc': -55, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '165.8.0.?', '680.2.0.?', '2040.8.0.?', '4488.8.0.?', '22440.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8259819295451425318314117578', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0897726864957903493039244517', 'prec': 100}, 'szpiro_ratio': 5.382894657671385, '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, 1, -1, 1, 0, -1, 2, 1, -2, 0, 0, -1, -1, 2, 0, 1, -1, -2, 1, 0], 'aplist': [1, -1, 0, 2, 0, -1, -1, 1, 6, 3, 5, -8, -6, -10, 3, 3, 3, -11, -2, 9, 11, -8, -12, 15, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 102850, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '102850.co', 'trace_hash': 1496188779350601724}
• 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': '0.0020562351646755906469766538551', 'prec': 110}, 'conductor': 102850, 'gens': [[1645, 83877, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8259819295451425318314117578', 'prec': 100}], 'lmfdb_label': '102850.co1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11559484380111546196464638736', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.1467303124552776783872771348689737693', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': [1645]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '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': '102850.co1'}
• ec_torsion_growth •

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

  
  
  • id: 4764146
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '102850.co1', 'torsion': [3]}
  • id: 4764147
    {'degree': 3, 'field': [10, -6, -1, 1], 'lmfdb_label': '102850.co1', 'torsion': [2]}
  • id: 4764150
    {'degree': 6, 'field': [-11915, 4250, -304, -12, 18, -2, 1], 'lmfdb_label': '102850.co1', 'torsion': [6]}
  • id: 4764148
    {'degree': 6, 'field': [270, -360, 171, -20, 2, 0, 1], 'lmfdb_label': '102850.co1', 'torsion': [2, 2]}
  • id: 4764149
    {'degree': 6, 'field': [2830, -750, 624, -81, 45, -3, 1], 'lmfdb_label': '102850.co1', 'torsion': [3]}
  • id: 4764151
    {'degree': 12, 'field': [-1058996375, 962888600, -401882092, 119724556, -28538509, 5278264, -785708, 90216, -8301, 416, 8, -4, 1], 'lmfdb_label': '102850.co1', 'torsion': [4]}
  • id: 4764152
    {'degree': 12, 'field': [11377129, 0, 3809475, 0, 572910, 0, 49379, 0, 2550, 0, 75, 0, 1], 'lmfdb_label': '102850.co1', 'torsion': [3, 3]}
  • id: 4764153
    {'degree': 12, 'field': [200613604, 21995800, -2193504, 1596196, -741721, -247560, 13588, 4452, -43, 140, 30, -4, 1], 'lmfdb_label': '102850.co1', 'torsion': [2, 6]}
  • id: 4764154
    {'degree': 18, 'field': [-107305301880215, -26998556401695, -5326416504084, 740028787627, 368503801428, 24662721399, -9153852342, -5353471437, -692175336, -57595093, 6501705, 3028434, 136686, 16404, -1362, -122, -33, -9, 1], 'lmfdb_label': '102850.co1', 'torsion': [9]}
  • id: 4764155
    {'degree': 18, 'field': [15486364, 99438192, 211004172, 170753148, 67412166, 11588160, -407955, -1420062, -555000, 96210, 123579, 14520, -4490, -588, 315, 58, 0, -6, 1], 'lmfdb_label': '102850.co1', '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: 2525431
    {'conductor': 102850, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '102850.co1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 2525432
    {'conductor': 102850, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '102850.co1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2525433
    {'conductor': 102850, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '102850.co1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2525434
    {'conductor': 102850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '102850.co1', 'prime': 17, '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: 2339343
    {'adelic_gens': [[14521, 2046, 10923, 6139], [4, 3, 9, 7], [13463, 20394, 5709, 16301], [22435, 6, 22434, 7], [11221, 2046, 1023, 6139], [9098, 7227, 21175, 13267], [4079, 0, 0, 22439], [1, 6, 0, 1], [16831, 2046, 17853, 6139], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '22440.16.0.?', 'conductor': 102850, 'lmfdb_label': '102850.co1', 'prime': 0}
  • id: 411947
    {'conductor': 102850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '102850.co1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5353898
    {'lmfdb_iso': '102850.co', 'p': 7, 'prec': 20, 'unit': 28516287585627346, 'val': 0}
  • id: 5353902
    {'lmfdb_iso': '102850.co', 'p': 13, 'prec': 20, 'unit': 1216874430054630096130, 'val': 1}
  • id: 5353905
    {'lmfdb_iso': '102850.co', 'p': 19, 'prec': 20, 'unit': 25268038945526076214656838, 'val': -1}
  • id: 5353908
    {'lmfdb_iso': '102850.co', 'p': 23, 'prec': 20, 'unit': 25443356089782542881547422, 'val': 1}
  • id: 5353901
    {'lmfdb_iso': '102850.co', 'p': 29, 'prec': 20, 'unit': 3334163856860752125553521980, 'val': 1}
  • id: 5353913
    {'lmfdb_iso': '102850.co', 'p': 31, 'prec': 20, 'unit': 13343147428214329740278565616, 'val': 1}
  • id: 5353897
    {'lmfdb_iso': '102850.co', 'p': 37, 'prec': 20, 'unit': 610211119577940000300422959694, 'val': 1}
  • id: 5353899
    {'lmfdb_iso': '102850.co', 'p': 41, 'prec': 20, 'unit': 1240363263306879076022548341528, 'val': 1}
  • id: 5353900
    {'lmfdb_iso': '102850.co', 'p': 43, 'prec': 20, 'unit': 8737714945538266381170287191173, 'val': 1}
  • id: 5353911
    {'lmfdb_iso': '102850.co', 'p': 47, 'prec': 20, 'unit': 49252764853043456003713920840031, 'val': 1}
  • id: 5353906
    {'lmfdb_iso': '102850.co', 'p': 53, 'prec': 20, 'unit': 237417823237092580233634649060143, 'val': 1}
  • id: 5353904
    {'lmfdb_iso': '102850.co', 'p': 59, 'prec': 20, 'unit': 680226874630859759808239538611957, 'val': 1}
  • id: 5353912
    {'lmfdb_iso': '102850.co', 'p': 61, 'prec': 20, 'unit': 7038262584965818499606096479959688, 'val': 1}
  • id: 5353896
    {'lmfdb_iso': '102850.co', 'p': 67, 'prec': 20, 'unit': 48510602443548098827051879230277714, 'val': 1}
  • id: 5353910
    {'lmfdb_iso': '102850.co', 'p': 71, 'prec': 20, 'unit': 33181338098396708591308758396263738, 'val': 1}
  • id: 5353907
    {'lmfdb_iso': '102850.co', 'p': 73, 'prec': 20, 'unit': 237144116607609324594329014377664810, 'val': 1}
  • id: 5353903
    {'lmfdb_iso': '102850.co', 'p': 79, 'prec': 20, 'unit': 1124691542160888996326271645932689333, 'val': 1}
  • id: 5353895
    {'lmfdb_iso': '102850.co', 'p': 83, 'prec': 20, 'unit': 2698255595890742220410964687991550282, 'val': 1}
  • id: 5353909
    {'lmfdb_iso': '102850.co', 'p': 89, 'prec': 20, 'unit': 1199470171325668108794556142152216073, 'val': 1}
  • id: 5353894
    {'lmfdb_iso': '102850.co', 'p': 97, 'prec': 20, 'unit': 41988600250779224683045897479385799883, 'val': 1}