Elliptic curve data - 262080.bz2

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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': '262080bz', 'Clabel': '262080bz2', 'Cnumber': 2, 'abc_quality': 1.023218976193033, 'absD': 6161967654434242560000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -938393868, 10399807627792], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 262080, 'degree': 141557760, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0811771896206216382894779487', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2], 'jinv': [478202393398338853167169, 32244226560000000000], 'lmfdb_iso': '262080.bz', 'lmfdb_label': '262080.bz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1629156, 752165136], 'min_quad_twist_disc': 24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '40.12.0-2.a.1.1', '56.12.0.a.1', '120.24.0.?', '140.12.0.?', '168.24.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4921502744466488284660071481', 'prec': 100}, 'szpiro_ratio': 5.898545576645609, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -1, 0, 1, -2, 4, 8, -6, -4, 6, 10, 0, 12, -2, -4, -10, 8, 8, 6, 0, 4, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 262080, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '262080.bz', 'trace_hash': 362267752977368642}
• 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': '0.00028519015796998452011941221964', 'prec': 113}, 'conductor': 262080, 'gens': [], 'heights': [], 'lmfdb_label': '262080.bz2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.041644153656570650100153437222', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6652258340205216064098199821904554731', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[14018, 0, 1], [21116, 0, 1]], 'xcoord_integral_points': [-35134, 14018, 21116]}
• lmfdb_label 262080.bz2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11230491
    {'degree': 4, 'field': [49, 0, 28, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 4]}
  • id: 11230493
    {'degree': 4, 'field': [64, 0, -26, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 4]}
  • id: 11230492
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 4]}
  • id: 11230494
    {'degree': 8, 'field': [-62208, 0, -39096, 0, -864, 0, 0, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 6]}
  • id: 11230495
    {'degree': 16, 'field': [6561, 0, 0, 0, 1377, 0, 0, 0, 208, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [4, 4]}
  • id: 11230497
    {'degree': 16, 'field': [123565456, 0, 47583424, 0, 8241640, 0, 1205056, 0, 193984, 0, 23536, 0, 1690, 0, 64, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 8]}
  • id: 11230496
    {'degree': 16, 'field': [407494552609, 0, 26933066128, 0, 1184764520, 0, 47062752, 0, 769298, 0, 33744, 0, 680, 0, -32, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 8]}
  • id: 11230498
    {'degree': 16, 'field': [4218612013476, 0, -474043526712, 0, 29936955888, 0, -1904060004, 0, 79472005, 0, -2066704, 0, 33318, 0, -292, 0, 1], 'lmfdb_label': '262080.bz2', 'torsion': [2, 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: 6496323
    {'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 36, 'j_denominator_valuation': 18, 'kodaira_symbol': -30, 'lmfdb_label': '262080.bz2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6496324
    {'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '262080.bz2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6496325
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '262080.bz2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6496326
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.bz2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6496327
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '262080.bz2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3323662
    {'adelic_gens': [[837, 4, 836, 5], [837, 838, 562, 1], [419, 836, 838, 831], [1, 4, 0, 1], [241, 2, 0, 1], [171, 2, 166, 839], [1, 0, 4, 1], [627, 836, 418, 837]], 'adelic_image': '840.48.0.?', 'conductor': 262080, 'lmfdb_label': '262080.bz2', 'prime': 0}
  • id: 940413
    {'conductor': 262080, 'elladic_image': '2.6.0.1', 'lmfdb_label': '262080.bz2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 262080.bz does not appear in ec_padic