Elliptic curve data - 100800.dp4

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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': '100800g', 'Clabel': '100800g1', 'Cnumber': 1, 'abc_quality': 1.0135004521922761, 'absD': 3704400000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, 0, 0, -34800, 2497000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 100800, 'degree': 221184, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3420386473911067226606506074', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 93, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [10788913152, 8575], 'lmfdb_iso': '100800.dp', 'lmfdb_label': '100800.dp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -348, 2497], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.15', '42.24.0.c.1', '60.24.0.s.1', '120.48.0.?', '140.6.0.?', '168.48.0.?', '420.48.1.?', '840.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0630617150504951121249085663', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31495603145959197866956713633', 'prec': 107}, 'szpiro_ratio': 3.731109963626655, '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, 0, 0, -4, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, 0, -1, 0, -4, 6, -2, 6, 0, 2, 2, -6, -4, 0, 6, 12, 10, -4, -12, 4, 8, -12, -6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 100800, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '100800.dp', 'trace_hash': 856195584358407112}
• 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': '0.068284171098164250972507748800', 'prec': 107}, 'conductor': 100800, 'gens': [[105, 25, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0630617150504951121249085663', 'prec': 100}], 'lmfdb_label': '100800.dp4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78136610598139139324618227669', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4480259947531850198753670933285235850', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[110, 0, 1]], 'xcoord_integral_points': [-190, 105, 110]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '100800.dp4'}
• ec_torsion_growth •

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

  
  
  • id: 4672087
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [6]}
  • id: 4672086
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 2]}
  • id: 4672089
    {'degree': 4, 'field': [15, 30, -29, -2, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 6]}
  • id: 4672088
    {'degree': 4, 'field': [189, 0, -36, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [4]}
  • id: 4672090
    {'degree': 6, 'field': [30, 0, -60, 0, 30, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [6]}
  • id: 4672093
    {'degree': 8, 'field': [36, 0, -216, 0, 132, 0, -24, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [12]}
  • id: 4672092
    {'degree': 8, 'field': [289, 0, 2608, 0, 318, 0, 64, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 4]}
  • id: 4672091
    {'degree': 8, 'field': [2601, 0, -2952, 0, 699, 0, -48, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 4]}
  • id: 4672094
    {'degree': 12, 'field': [25281, 954, 2421, -6450, 2490, 834, -179, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '100800.dp4', 'torsion': [3, 6]}
  • id: 4672095
    {'degree': 12, 'field': [25600, 0, 0, 0, 0, 0, 17600, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 6]}
  • id: 4672097
    {'degree': 16, 'field': [16, 0, -4320, 0, 22192, 0, -35712, 0, 23724, 0, -6672, 0, 844, 0, -48, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 12]}
  • id: 4672098
    {'degree': 16, 'field': [579121, 0, 318944, 0, -604994, 0, 25664, 0, 51679, 0, 13136, 0, 1618, 0, 80, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [2, 12]}
  • id: 4672096
    {'degree': 16, 'field': [1691725, 4149000, -1342100, -4704500, 250960, 2060340, 22540, -493860, -9059, 73052, -152, -6836, 290, 364, -32, -8, 1], 'lmfdb_label': '100800.dp4', 'torsion': [8]}
  • id: 4672099
    {'degree': 18, 'field': [-1654355625, 558731250, 1324141875, -1091123250, 475480125, -116786250, -2242200, 46942350, -12430350, -3752420, 1272615, 47880, -90939, 2226, 4059, -42, -96, 0, 1], 'lmfdb_label': '100800.dp4', 'torsion': [18]}
• 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: 2472499
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '100800.dp4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2472500
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '100800.dp4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2472501
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '100800.dp4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2472502
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '100800.dp4', '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: 2326057
    {'adelic_gens': [[431, 828, 432, 827], [310, 3, 213, 412], [1, 0, 12, 1], [688, 829, 735, 452], [829, 12, 828, 13], [1, 6, 6, 37], [419, 0, 0, 839], [829, 838, 470, 429], [801, 662, 574, 439], [1, 12, 0, 1], [503, 828, 498, 767], [11, 2, 790, 831]], 'adelic_image': '840.96.1.?', 'conductor': 100800, 'lmfdb_label': '100800.dp4', 'prime': 0}
  • id: 404348
    {'conductor': 100800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '100800.dp4', 'modell_image': '2B', 'prime': 2}
  • id: 404349
    {'conductor': 100800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '100800.dp4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5243371
    {'lmfdb_iso': '100800.dp', 'p': 13, 'prec': 20, 'unit': 488158301563109546268, 'val': 1}
  • id: 5243373
    {'lmfdb_iso': '100800.dp', 'p': 17, 'prec': 20, 'unit': 178289796561038345288019, 'val': 1}
  • id: 5243364
    {'lmfdb_iso': '100800.dp', 'p': 19, 'prec': 20, 'unit': 918560354641809114021170, 'val': 1}
  • id: 5243377
    {'lmfdb_iso': '100800.dp', 'p': 23, 'prec': 20, 'unit': 4156711755191318817899081, 'val': 1}
  • id: 5243381
    {'lmfdb_iso': '100800.dp', 'p': 31, 'prec': 20, 'unit': 15025938346732712808758015234, 'val': 1}
  • id: 5243367
    {'lmfdb_iso': '100800.dp', 'p': 37, 'prec': 20, 'unit': 193832051061721980873245217860, 'val': 1}
  • id: 5243369
    {'lmfdb_iso': '100800.dp', 'p': 41, 'prec': 20, 'unit': 137965895144055461843121514546, 'val': 1}
  • id: 5243370
    {'lmfdb_iso': '100800.dp', 'p': 43, 'prec': 20, 'unit': 734662037551018548163669052855, 'val': 1}
  • id: 5243375
    {'lmfdb_iso': '100800.dp', 'p': 53, 'prec': 20, 'unit': 434753515555245504389110289248342, 'val': 1}
  • id: 5243379
    {'lmfdb_iso': '100800.dp', 'p': 59, 'prec': 20, 'unit': 361790237070795121603444121943725, 'val': 1}
  • id: 5243380
    {'lmfdb_iso': '100800.dp', 'p': 61, 'prec': 20, 'unit': 7967781682325589554114365532312072, 'val': 1}
  • id: 5243366
    {'lmfdb_iso': '100800.dp', 'p': 67, 'prec': 20, 'unit': 46408918861171284630550124349215008, 'val': 1}
  • id: 5243368
    {'lmfdb_iso': '100800.dp', 'p': 71, 'prec': 20, 'unit': 43460821567643024507953059410406189, 'val': 1}
  • id: 5243376
    {'lmfdb_iso': '100800.dp', 'p': 73, 'prec': 20, 'unit': 23785742455034648095143346765020184, 'val': 1}
  • id: 5243372
    {'lmfdb_iso': '100800.dp', 'p': 79, 'prec': 20, 'unit': 883048122057098940545750492591666899, 'val': 1}
  • id: 5243374
    {'lmfdb_iso': '100800.dp', 'p': 83, 'prec': 20, 'unit': 981586183458963992487277402329685892, 'val': 1}
  • id: 5243378
    {'lmfdb_iso': '100800.dp', 'p': 89, 'prec': 20, 'unit': 7223542864625003340198394692817708831, 'val': 1}
  • id: 5243365
    {'lmfdb_iso': '100800.dp', 'p': 97, 'prec': 20, 'unit': 29542802640729262597590078378869221551, 'val': 1}