Elliptic curve data - 202800.gb1

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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': '202800br', 'Clabel': '202800br4', 'Cnumber': 4, 'abc_quality': 1.0375259015845228, 'absD': 3132405968640000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -5849328008, -172191613152012], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 202800, 'degree': 123863040, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9776042924786109713370544285', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 157, 'isogeny_degrees': [1, 2, 4], 'jinv': [71647584155243142409, 10140000], 'lmfdb_iso': '202800.gb', 'lmfdb_label': '202800.gb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86529, 9789652], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.s.1', '40.12.0.bb.1', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '780.12.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '61.741486688312688367336641286', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 12675], [3, 4, 67600], [5, 18, 8112], [13, 98, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1972634769708471065926989196', 'prec': 100}, 'szpiro_ratio': 6.471566212901635, '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, -4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 1, 0, -4, 0, 0, 2, 4, 8, 2, -8, 2, 6, 12, 0, -10, 0, -10, 4, -16, -6, 8, 4, 14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 202800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '202800.gb', 'trace_hash': 2220239789995820954}
• 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': '0.00035083006923680214100133630093', 'prec': 113}, 'conductor': 202800, 'gens': [[11620570808479791360134205357, 778082042104570502968169990336591631796875, 325195378282]], 'heights': [{'__RealLiteral__': 0, 'data': '61.741486688312688367336641286', 'prec': 100}], 'lmfdb_label': '202800.gb1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.017263269910722391171281534319', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5268795951169238931878650299059553570', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-44157, 0, 1]], 'xcoord_integral_points': [-44157]}
• lmfdb_label 202800.gb1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8878704
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [2, 2]}
  • id: 8878705
    {'degree': 2, 'field': [49, -1, 1], 'lmfdb_label': '202800.gb1', 'torsion': [4]}
  • id: 8878706
    {'degree': 2, 'field': [130, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [4]}
  • id: 8878707
    {'degree': 4, 'field': [1156, 0, 62, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [2, 4]}
  • id: 8878711
    {'degree': 8, 'field': [-114279, 17826, 10164, -7636, -1100, 494, 34, -4, 1], 'lmfdb_label': '202800.gb1', 'torsion': [6]}
  • id: 8878708
    {'degree': 8, 'field': [36, 0, 0, 0, -4692, 0, 0, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [2, 4]}
  • id: 8878709
    {'degree': 8, 'field': [339, -492, 660, -312, 97, 68, -18, -4, 1], 'lmfdb_label': '202800.gb1', 'torsion': [8]}
  • id: 8878710
    {'degree': 8, 'field': [62001, 0, -396, 0, 172, 0, 36, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [8]}
  • id: 8878714
    {'degree': 16, 'field': [47449, 21908, -37686, 20440, 18684, -36144, 9850, 10072, -10431, 1880, 2638, -1176, -168, 140, 0, -8, 1], 'lmfdb_label': '202800.gb1', 'torsion': [2, 8]}
  • id: 8878713
    {'degree': 16, 'field': [20711601, 0, 9923244, 0, 2986150, 0, 332016, 0, 28599, 0, -2344, 0, 690, 0, -36, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [2, 8]}
  • id: 8878715
    {'degree': 16, 'field': [6363635625, 6591262500, 2636401500, -2397237000, -1903520400, -560596500, 96475900, 82794160, -8148294, -3617932, 299516, 19008, -6700, 1052, 36, -8, 1], 'lmfdb_label': '202800.gb1', 'torsion': [2, 6]}
  • id: 8878716
    {'degree': 16, 'field': [6511290705, -11471169780, 9354341295, -4402122390, 1209882150, -109992060, -48263931, 13987494, 2684250, -1995660, 414177, -51354, 8478, -1140, 75, -6, 1], 'lmfdb_label': '202800.gb1', 'torsion': [12]}
  • id: 8878712
    {'degree': 16, 'field': [7371081025, 0, 600185840, 0, -86458304, 0, -3452872, 0, 531454, 0, 2384, 0, -1136, 0, 8, 0, 1], 'lmfdb_label': '202800.gb1', 'torsion': [4, 4]}
  • id: 8878717
    {'degree': 16, 'field': [336228341904, 0, -540214272, 0, -953132400, 0, 45582256, 0, -1951360, 0, 58624, 0, -527, 0, 80, 0, 1], 'lmfdb_label': '202800.gb1', '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: 5019125
    {'conductor': 202800, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '202800.gb1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5019126
    {'conductor': 202800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '202800.gb1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 5019127
    {'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '202800.gb1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5019128
    {'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '202800.gb1', 'prime': 13, 'reduction_type': 0, '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: 2962235
    {'adelic_gens': [[584, 637, 221, 792], [1, 0, 8, 1], [1, 8, 0, 1], [479, 0, 0, 1559], [1, 4, 4, 17], [1288, 1443, 325, 482], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [623, 832, 572, 207], [768, 1313, 1027, 534]], 'adelic_image': '1560.48.0.?', 'conductor': 202800, 'lmfdb_label': '202800.gb1', 'prime': 0}
  • id: 750479
    {'conductor': 202800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '202800.gb1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 202800.gb does not appear in ec_padic