Elliptic curve data - 100800.p2

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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': '100800mg', 'Clabel': '100800mg3', 'Cnumber': 3, 'abc_quality': 0.9996207719579945, 'absD': 16329600000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -1262700, 510354000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 100800, 'degree': 2359296, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4327335430056592435215564516', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [74565301329, 5468750], 'lmfdb_iso': '100800.p', 'lmfdb_label': '100800.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -88, 317], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '60.12.0-4.c.1.1', '120.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2401136373799746337420516026', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 6, 11200], [5, 18, 4032], [7, 8, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984339', 'prec': 107}, 'szpiro_ratio': 4.666295277777725, '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, 0, 0, 0, 0, -1, 0, 0, 0, -4, 0, -6, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 0, -1, -4, -6, 2, 0, 0, 6, -8, -10, -2, -4, -8, 2, 8, 14, 12, -16, -2, 8, 8, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 100800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '100800.p', 'trace_hash': 752542602808984342}
• 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': '0.0077082269455042247514249835700', 'prec': 110}, 'conductor': 100800, 'gens': [[1104, 21492, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2401136373799746337420516026', 'prec': 100}], 'lmfdb_label': '100800.p2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.21549310511034223052458271520', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5168334354002425023884130688481218256', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[780, 0, 1]], 'xcoord_integral_points': [780, 1104]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 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.p2'}
• ec_torsion_growth •

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

  
  
  • id: 4678773
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [4]}
  • id: 4678772
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [4]}
  • id: 4678771
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [2, 2]}
  • id: 4678774
    {'degree': 4, 'field': [1, 0, -58, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [2, 4]}
  • id: 4678778
    {'degree': 8, 'field': [-1200, 0, -990, 0, -240, 0, 30, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [6]}
  • id: 4678776
    {'degree': 8, 'field': [-119, 728, -1136, -48, 574, -8, -48, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [8]}
  • id: 4678775
    {'degree': 8, 'field': [2440, -2720, 2704, 16, 33, -52, 22, -4, 1], 'lmfdb_label': '100800.p2', 'torsion': [2, 4]}
  • id: 4678777
    {'degree': 8, 'field': [30976, 0, -7682, 0, 1133, 0, -52, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [8]}
  • id: 4678781
    {'degree': 16, 'field': [-686, 4312, 19292, -157976, 251666, 5880, -227768, 49952, 84451, -16856, -16272, 1848, 1594, -56, -68, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [2, 8]}
  • id: 4678783
    {'degree': 16, 'field': [176400, 0, -70560, 0, -38304, 0, 57024, 0, -19500, 0, -1860, 0, 525, 0, -36, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [12]}
  • id: 4678779
    {'degree': 16, 'field': [476100, 0, 455280, 0, 484516, 0, 83552, 0, -3651, 0, -2324, 0, 414, 0, -28, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [4, 4]}
  • id: 4678780
    {'degree': 16, 'field': [894916, 0, -760072, 0, 349680, 0, -92236, 0, 16533, 0, -1936, 0, 170, 0, -12, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [2, 8]}
  • id: 4678782
    {'degree': 16, 'field': [1008016, 0, -785512, 0, 208468, 0, 2936, 0, -10400, 0, 1196, 0, 88, 0, -22, 0, 1], 'lmfdb_label': '100800.p2', 'torsion': [2, 6]}
  • id: 4678784
    {'degree': 16, 'field': [93605625, 0, -392323500, 0, -34419600, 0, 615600, 0, 268650, 0, 2700, 0, -300, 0, 0, 0, 1], 'lmfdb_label': '100800.p2', '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: 2475259
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '100800.p2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2475260
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '100800.p2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2475261
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '100800.p2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2475262
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '100800.p2', 'prime': 7, '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: 2326752
    {'adelic_gens': [[559, 0, 0, 839], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [704, 615, 645, 434], [1, 4, 4, 17], [503, 0, 0, 839], [136, 675, 645, 226], [7, 6, 834, 835], [104, 405, 45, 464]], 'adelic_image': '840.48.0.?', 'conductor': 100800, 'lmfdb_label': '100800.p2', 'prime': 0}
  • id: 405031
    {'conductor': 100800, 'elladic_image': '8.12.0.9', 'lmfdb_label': '100800.p2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5246776
    {'lmfdb_iso': '100800.p', 'p': 11, 'prec': 20, 'unit': 5513055829857433206, 'val': 1}
  • id: 5246782
    {'lmfdb_iso': '100800.p', 'p': 13, 'prec': 20, 'unit': 182263839707444349164, 'val': 1}
  • id: 5246784
    {'lmfdb_iso': '100800.p', 'p': 17, 'prec': 20, 'unit': 168882600253882728516256, 'val': 1}
  • id: 5246781
    {'lmfdb_iso': '100800.p', 'p': 29, 'prec': 20, 'unit': 5571036809805669472579846770, 'val': 1}
  • id: 5246792
    {'lmfdb_iso': '100800.p', 'p': 31, 'prec': 20, 'unit': 20842183434015619906127240625, 'val': 1}
  • id: 5246777
    {'lmfdb_iso': '100800.p', 'p': 37, 'prec': 20, 'unit': 23116472405748489772001504475, 'val': 1}
  • id: 5246779
    {'lmfdb_iso': '100800.p', 'p': 41, 'prec': 20, 'unit': 1494344688779537078798240308474, 'val': 1}
  • id: 5246780
    {'lmfdb_iso': '100800.p', 'p': 43, 'prec': 20, 'unit': 2471838237300335840703480053267, 'val': 1}
  • id: 5246790
    {'lmfdb_iso': '100800.p', 'p': 47, 'prec': 20, 'unit': 26603869205743101600749619745670, 'val': 1}
  • id: 5246786
    {'lmfdb_iso': '100800.p', 'p': 53, 'prec': 20, 'unit': 406931791802151233700213632959708, 'val': 1}
  • id: 5246787
    {'lmfdb_iso': '100800.p', 'p': 59, 'prec': 20, 'unit': 1684774725321260253832476983443988, 'val': 1}
  • id: 5246791
    {'lmfdb_iso': '100800.p', 'p': 61, 'prec': 20, 'unit': 5227940576699965564858733693277387, 'val': 1}
  • id: 5246785
    {'lmfdb_iso': '100800.p', 'p': 67, 'prec': 20, 'unit': 21471711100428118905826643522187142, 'val': 1}
  • id: 5246778
    {'lmfdb_iso': '100800.p', 'p': 71, 'prec': 20, 'unit': 38619652485834278454042173474522905, 'val': 1}
  • id: 5246788
    {'lmfdb_iso': '100800.p', 'p': 73, 'prec': 20, 'unit': 24459211165922140420107303405282572, 'val': 1}
  • id: 5246783
    {'lmfdb_iso': '100800.p', 'p': 79, 'prec': 20, 'unit': 83848475801194066860952873723285061, 'val': 1}
  • id: 5246775
    {'lmfdb_iso': '100800.p', 'p': 83, 'prec': 20, 'unit': 2593831981673623285586427171717637791, 'val': 1}
  • id: 5246789
    {'lmfdb_iso': '100800.p', 'p': 89, 'prec': 20, 'unit': 6065981612769656917305732709523366699, 'val': 1}
  • id: 5246774
    {'lmfdb_iso': '100800.p', 'p': 97, 'prec': 20, 'unit': 32169081738729264725019679461895740737, 'val': 1}