Elliptic curve data - 100800.mf2

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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': '100800cf', 'Clabel': '100800cf1', 'Cnumber': 1, 'abc_quality': 0.8976142640226761, 'absD': 1896652800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 168, 'ainvs': [0, 0, 0, 16500, -1930000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 100800, 'degree': 276480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6143600492987834514033421810', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 317, 'isogeny_degrees': [1, 3], 'jinv': [179685, 686], 'lmfdb_iso': '100800.mf', 'lmfdb_label': '100800.mf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 93, 791], 'min_quad_twist_disc': -120, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '84.8.0.?', '168.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2076603410938458744075217595', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 6, 1600], [5, 14, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77297240199756218530515686590', 'prec': 107}, 'szpiro_ratio': 3.686277124523876, '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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 0, -2, 0], 'aplist': [0, 0, 0, 1, 0, 1, -3, -2, -3, 3, -1, -2, 3, 7, -6, 9, 3, 1, -8, 0, -4, 8, 15, -6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 100800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '100800.mf', 'trace_hash': 1129783045504843313}
• 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': '0.039608160900913168825539268571', 'prec': 107}, 'conductor': 100800, 'gens': [[94, 672, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2076603410938458744075217595', 'prec': 100}], 'lmfdb_label': '100800.mf2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23769899562083175652400563201', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8894316030988381410536701912366351526', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': [94, 836]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [4, 0], '11': [1, 1, 0], '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': '100800.mf2'}
• ec_torsion_growth •

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

  
  
  • id: 4672758
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [3]}
  • id: 4672759
    {'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '100800.mf2', 'torsion': [2]}
  • id: 4672762
    {'degree': 6, 'field': [-200, 0, 225, 0, 30, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [6]}
  • id: 4672761
    {'degree': 6, 'field': [294, 0, 228, 0, -18, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [3]}
  • id: 4672760
    {'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [2, 2]}
  • id: 4672763
    {'degree': 12, 'field': [-18522, 0, 19737, 0, -6327, 0, 198, 0, 204, 0, -27, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [4]}
  • id: 4672764
    {'degree': 12, 'field': [2401, 294, 771, -2050, 840, 174, 41, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '100800.mf2', 'torsion': [3, 3]}
  • id: 4672765
    {'degree': 12, 'field': [112896, 0, 10752, 0, 10336, 0, 2368, 0, 321, 0, 22, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [2, 6]}
  • id: 4672766
    {'degree': 18, 'field': [-23174432, 0, 133242192, 0, -46661328, 0, 5246004, 0, -421200, 0, 61056, 0, -6054, 0, 540, 0, -36, 0, 1], 'lmfdb_label': '100800.mf2', 'torsion': [9]}
  • id: 4672767
    {'degree': 18, 'field': [13824, 0, 0, 0, 0, 0, -2972, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '100800.mf2', '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: 2472867
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '100800.mf2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2472868
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '100800.mf2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2472869
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '100800.mf2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2472870
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '100800.mf2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2326577
    {'adelic_gens': [[83, 162, 81, 149], [73, 6, 51, 19], [1, 0, 6, 1], [4, 3, 9, 7], [163, 6, 162, 7], [3, 4, 8, 11], [78, 97, 115, 54], [165, 166, 158, 161], [127, 6, 45, 19], [1, 6, 0, 1]], 'adelic_image': '168.16.0.?', 'conductor': 100800, 'lmfdb_label': '100800.mf2', 'prime': 0}
  • id: 404849
    {'conductor': 100800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '100800.mf2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5243639
    {'lmfdb_iso': '100800.mf', 'p': 13, 'prec': 20, 'unit': 4130387182846957852357, 'val': -1}
  • id: 5243641
    {'lmfdb_iso': '100800.mf', 'p': 17, 'prec': 20, 'unit': 51300575743555224951542, 'val': 1}
  • id: 5243642
    {'lmfdb_iso': '100800.mf', 'p': 19, 'prec': 20, 'unit': 1452675107629181544773462, 'val': 1}
  • id: 5243646
    {'lmfdb_iso': '100800.mf', 'p': 23, 'prec': 20, 'unit': 63568370061349070812194029, 'val': 1}
  • id: 5243638
    {'lmfdb_iso': '100800.mf', 'p': 29, 'prec': 20, 'unit': 1228626932466952994919481754, 'val': 1}
  • id: 5243650
    {'lmfdb_iso': '100800.mf', 'p': 31, 'prec': 20, 'unit': 10601960085421040818902812664, 'val': 1}
  • id: 5243635
    {'lmfdb_iso': '100800.mf', 'p': 37, 'prec': 20, 'unit': 527000523270716114223669275254, 'val': 1}
  • id: 5243636
    {'lmfdb_iso': '100800.mf', 'p': 41, 'prec': 20, 'unit': 1000741624484280155446800176029, 'val': 1}
  • id: 5243637
    {'lmfdb_iso': '100800.mf', 'p': 43, 'prec': 20, 'unit': 9779616695176948442663954158416, 'val': 1}
  • id: 5243648
    {'lmfdb_iso': '100800.mf', 'p': 47, 'prec': 20, 'unit': 34865684614956165943593651677043, 'val': 1}
  • id: 5243643
    {'lmfdb_iso': '100800.mf', 'p': 53, 'prec': 20, 'unit': 320345694622212030381475166161033, 'val': 1}
  • id: 5243644
    {'lmfdb_iso': '100800.mf', 'p': 59, 'prec': 20, 'unit': 854580690090013386906018159864161, 'val': 1}
  • id: 5243649
    {'lmfdb_iso': '100800.mf', 'p': 61, 'prec': 20, 'unit': 122437276428561133766908941202930392, 'val': -1}
  • id: 5243634
    {'lmfdb_iso': '100800.mf', 'p': 67, 'prec': 20, 'unit': 2883192378428452803471271949467783, 'val': 1}
  • id: 5243645
    {'lmfdb_iso': '100800.mf', 'p': 73, 'prec': 20, 'unit': 76355549787158015929922165357609028, 'val': 1}
  • id: 5243640
    {'lmfdb_iso': '100800.mf', 'p': 79, 'prec': 20, 'unit': 69112027976691454619254639621024001, 'val': 1}
  • id: 5243633
    {'lmfdb_iso': '100800.mf', 'p': 83, 'prec': 20, 'unit': 1102422956584918765425830879700941742, 'val': 1}
  • id: 5243647
    {'lmfdb_iso': '100800.mf', 'p': 89, 'prec': 20, 'unit': 10099650526357003756058183812546725624, 'val': 1}
  • id: 5243632
    {'lmfdb_iso': '100800.mf', 'p': 97, 'prec': 20, 'unit': 30527838972713659310020236206138854277, 'val': 1}