Elliptic curve data - 109200.fs1

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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': '109200cl', 'Clabel': '109200cl2', 'Cnumber': 2, 'abc_quality': 0.9843288966942432, 'absD': 1126620907776000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [0, 1, 0, -26248, -275692], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 109200, 'degree': 589824, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5782442997273075168363283507', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 148, 'isogeny_degrees': [1, 2], 'jinv': [7812480469498, 4400862921], 'lmfdb_iso': '109200.fs', 'lmfdb_label': '109200.fs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -26248, 275692], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '104.6.0.?', '260.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 37, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.35216797941746610024527186975', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 5], [3, 4, 36400], [5, 10, 4368], [7, 8, 15600], [13, 14, 8400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54049990610549922288700907272', 'prec': 103}, 'szpiro_ratio': 3.632437512903068, '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, 0, 1, 0, 0, 0, 1, 0, 1, 0, -6, 0, -1, 0, 0, 0, -4, 0, -6, 0], 'aplist': [0, 1, 0, 1, -6, -1, -4, -6, -2, -6, 0, -2, -10, -4, 0, 2, -10, -6, -4, 0, -14, 16, 4, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 109200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '109200.fs', 'trace_hash': 1977111281441645207}
• 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': '0.042574976710577504401738979312', 'prec': 107}, 'conductor': 109200, 'gens': [[-22, 540, 1], [-76, 1134, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.62131774897462287619709427733', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.63757600874096341616837889777', 'prec': 103}], 'lmfdb_label': '109200.fs1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.40382252224525571999788842810', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.652482723428140429067139775887586928', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-157, 0, 1]], 'xcoord_integral_points': [-157, -142, -118, -92, -76, -22, -13, 167, 194, 218, 284, 428, 572, 1058, 1754, 3002, 6343, 7778, 20903]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [3, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '109200.fs1'}
• ec_torsion_growth •

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

  
  
  • id: 5031722
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '109200.fs1', 'torsion': [2, 2]}
  • id: 5031723
    {'degree': 4, 'field': [56, 24, 1, -1, 1], 'lmfdb_label': '109200.fs1', 'torsion': [4]}
  • id: 5031726
    {'degree': 8, 'field': [-9075, 0, -1000, 0, 330, 0, 0, 0, 1], 'lmfdb_label': '109200.fs1', 'torsion': [6]}
  • id: 5031724
    {'degree': 8, 'field': [1296, 0, 216, 0, 16, 0, 6, 0, 1], 'lmfdb_label': '109200.fs1', 'torsion': [2, 4]}
  • id: 5031725
    {'degree': 8, 'field': [86436, 0, 76832, 0, -2156, 0, -112, 0, 1], 'lmfdb_label': '109200.fs1', 'torsion': [2, 4]}
  • id: 5031728
    {'degree': 16, 'field': [13293316, 0, -23271944, 0, -4264196, 0, 2011312, 0, 150304, 0, -57236, 0, 1456, 0, 28, 0, 1], 'lmfdb_label': '109200.fs1', 'torsion': [2, 6]}
  • id: 5031727
    {'degree': 16, 'field': [1371934319616, 0, 293692833504, 0, 28242868185, 0, 1655604951, 0, 63567289, 0, 1576796, 0, 25425, 0, 239, 0, 1], 'lmfdb_label': '109200.fs1', 'torsion': [8]}
• 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: 2683317
    {'conductor': 109200, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '109200.fs1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2683318
    {'conductor': 109200, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '109200.fs1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 2683319
    {'conductor': 109200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '109200.fs1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2683320
    {'conductor': 109200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '109200.fs1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2683321
    {'conductor': 109200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '109200.fs1', '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: 2379585
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [41, 4, 82, 9], [1, 4, 0, 1], [457, 66, 64, 455], [2, 1, 259, 0], [517, 4, 516, 5], [108, 1, 103, 0]], 'adelic_image': '520.12.0.?', 'conductor': 109200, 'lmfdb_label': '109200.fs1', 'prime': 0}
  • id: 434063
    {'conductor': 109200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '109200.fs1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5694244
    {'lmfdb_iso': '109200.fs', 'p': 11, 'prec': 20, 'unit': 41233007834186181767, 'val': 2}
  • id: 5694245
    {'lmfdb_iso': '109200.fs', 'p': 17, 'prec': 20, 'unit': 148616263407668240169946, 'val': 2}
  • id: 5694246
    {'lmfdb_iso': '109200.fs', 'p': 19, 'prec': 20, 'unit': 1232731661190527762178768, 'val': 2}
  • id: 5694249
    {'lmfdb_iso': '109200.fs', 'p': 23, 'prec': 20, 'unit': 57506579811699029726859539, 'val': 2}
  • id: 5694242
    {'lmfdb_iso': '109200.fs', 'p': 29, 'prec': 20, 'unit': 4790558653748361824025657204, 'val': 2}
  • id: 5694239
    {'lmfdb_iso': '109200.fs', 'p': 37, 'prec': 20, 'unit': 596215429904710852436644389361, 'val': 2}
  • id: 5694240
    {'lmfdb_iso': '109200.fs', 'p': 41, 'prec': 20, 'unit': 1937133196020770195031845519338, 'val': 2}
  • id: 5694241
    {'lmfdb_iso': '109200.fs', 'p': 43, 'prec': 20, 'unit': 4691146084318849026971757425443, 'val': 2}
  • id: 5694247
    {'lmfdb_iso': '109200.fs', 'p': 53, 'prec': 20, 'unit': 85727426314170847900304341171671, 'val': 2}
  • id: 5694251
    {'lmfdb_iso': '109200.fs', 'p': 59, 'prec': 20, 'unit': 2968616997705011152584672324491556, 'val': 2}
  • id: 5694252
    {'lmfdb_iso': '109200.fs', 'p': 61, 'prec': 20, 'unit': 887550349401235608017679238586907, 'val': 2}
  • id: 5694238
    {'lmfdb_iso': '109200.fs', 'p': 67, 'prec': 20, 'unit': 44780649886337708347477782847233001, 'val': 2}
  • id: 5694248
    {'lmfdb_iso': '109200.fs', 'p': 73, 'prec': 20, 'unit': 166350637975722724450453251844267498, 'val': 2}
  • id: 5694243
    {'lmfdb_iso': '109200.fs', 'p': 79, 'prec': 20, 'unit': 817549277487107423946858117035459481, 'val': 2}
  • id: 5694237
    {'lmfdb_iso': '109200.fs', 'p': 83, 'prec': 20, 'unit': 2242040307357513887120280471876460469, 'val': 2}
  • id: 5694250
    {'lmfdb_iso': '109200.fs', 'p': 89, 'prec': 20, 'unit': 5428651032357327760899191498781704470, 'val': 2}
  • id: 5694236
    {'lmfdb_iso': '109200.fs', 'p': 97, 'prec': 20, 'unit': 44762842240132715505542453382171952735, 'val': 2}