Elliptic curve data - 1520.c2

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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': '1520d', 'Clabel': '1520d1', 'Cnumber': 1, 'abc_quality': 0.7848129529219041, 'absD': 7600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [0, 1, 0, 5, 0], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1520, 'degree': 128, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.56665727946389791570881983042', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [702464, 475], 'lmfdb_iso': '1520.c', 'lmfdb_label': '1520.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 5, 0], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '38.6.0.b.1', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7192121381119510254569011461', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 19], [5, 6, 304], [19, 20, 80]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79770633965054635218123053757', 'prec': 107}, 'szpiro_ratio': 2.215930437849313, '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, -2, 0, 1, 0, -4, 0, 1, 0, 4, 0, 0, 0, -2, 0, 6, 0, 1, 0], 'aplist': [0, -2, 1, -4, 4, 0, 6, 1, -8, -6, 8, -8, -2, 0, -12, 4, -8, -14, 2, 8, -2, -4, -12, 6, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 1520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1520.c', 'trace_hash': 615700250989792885}
• 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': '3.1059342597249645354172349310', 'prec': 100}, 'conductor': 1520, 'gens': [[4, 10, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7192121381119510254569011461', 'prec': 100}], 'lmfdb_label': '1520.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3665666032287764761271021864', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0343150149606410333450490695323027518', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0, 4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1520.c2'}
• ec_torsion_growth •

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

  
  
  • id: 75409
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '1520.c2', 'torsion': [2, 2]}
  • id: 75410
    {'degree': 4, 'field': [-19, 0, -2, 0, 1], 'lmfdb_label': '1520.c2', 'torsion': [4]}
  • id: 75413
    {'degree': 8, 'field': [-588, 0, -172, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '1520.c2', 'torsion': [6]}
  • id: 75412
    {'degree': 8, 'field': [25, 0, -15, 0, 36, 0, -3, 0, 1], 'lmfdb_label': '1520.c2', 'torsion': [2, 4]}
  • id: 75411
    {'degree': 8, 'field': [191, 496, 368, 42, 28, 34, 7, -2, 1], 'lmfdb_label': '1520.c2', 'torsion': [2, 4]}
  • id: 75414
    {'degree': 16, 'field': [1, 0, -30, 0, -199, 0, -300, 0, -594, 0, -270, 0, -164, 0, 0, 0, 1], 'lmfdb_label': '1520.c2', 'torsion': [8]}
  • id: 75415
    {'degree': 16, 'field': [5625, 0, -19800, 0, 64750, 0, 1200, 0, 807, 0, -192, 0, 54, 0, 0, 0, 1], 'lmfdb_label': '1520.c2', 'torsion': [2, 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: 23382
    {'conductor': 1520, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1520.c2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 23383
    {'conductor': 1520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1520.c2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 23384
    {'conductor': 1520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1520.c2', 'prime': 19, '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: 1673997
    {'adelic_gens': [[1, 2, 2, 5], [77, 4, 154, 9], [1, 4, 0, 1], [97, 286, 284, 95], [377, 4, 376, 5], [1, 0, 4, 1], [42, 1, 359, 0], [3, 4, 8, 11]], 'adelic_image': '380.12.0.?', 'conductor': 1520, 'lmfdb_label': '1520.c2', 'prime': 0}
  • id: 7263
    {'conductor': 1520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1520.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 40220
    {'lmfdb_iso': '1520.c', 'p': 7, 'prec': 20, 'unit': 479045304099025, 'val': 1}
  • id: 40222
    {'lmfdb_iso': '1520.c', 'p': 11, 'prec': 20, 'unit': 15082004953849518446, 'val': 1}
  • id: 40225
    {'lmfdb_iso': '1520.c', 'p': 17, 'prec': 20, 'unit': 11536874742014029065162, 'val': 1}
  • id: 40230
    {'lmfdb_iso': '1520.c', 'p': 23, 'prec': 20, 'unit': 11609924598493613792760838, 'val': 1}
  • id: 40223
    {'lmfdb_iso': '1520.c', 'p': 29, 'prec': 20, 'unit': 5409579980141021353403604299, 'val': 1}
  • id: 40235
    {'lmfdb_iso': '1520.c', 'p': 31, 'prec': 20, 'unit': 4822028409615018746321319799, 'val': 1}
  • id: 40219
    {'lmfdb_iso': '1520.c', 'p': 37, 'prec': 20, 'unit': 570308886233726487379963207958, 'val': 1}
  • id: 40221
    {'lmfdb_iso': '1520.c', 'p': 41, 'prec': 20, 'unit': 2719675293213994291432453776598, 'val': 1}
  • id: 40233
    {'lmfdb_iso': '1520.c', 'p': 47, 'prec': 20, 'unit': 5436592263923476014390589447847, 'val': 1}
  • id: 40227
    {'lmfdb_iso': '1520.c', 'p': 53, 'prec': 20, 'unit': 295464618514711954246489295814794, 'val': 1}
  • id: 40228
    {'lmfdb_iso': '1520.c', 'p': 59, 'prec': 20, 'unit': 2688597786827281328763370809732008, 'val': 1}
  • id: 40234
    {'lmfdb_iso': '1520.c', 'p': 61, 'prec': 20, 'unit': 2847768619047709627102061412187533, 'val': 1}
  • id: 40218
    {'lmfdb_iso': '1520.c', 'p': 67, 'prec': 20, 'unit': 3892494412732338840252750600805141, 'val': 1}
  • id: 40232
    {'lmfdb_iso': '1520.c', 'p': 71, 'prec': 20, 'unit': 12717187880714624596482866625272104, 'val': 1}
  • id: 40229
    {'lmfdb_iso': '1520.c', 'p': 73, 'prec': 20, 'unit': 39647409343002537805930124362568756, 'val': 1}
  • id: 40224
    {'lmfdb_iso': '1520.c', 'p': 79, 'prec': 20, 'unit': 30157377355052536646162927956407214, 'val': 1}
  • id: 40226
    {'lmfdb_iso': '1520.c', 'p': 83, 'prec': 20, 'unit': 2699255340556834232131028389411749620, 'val': 1}
  • id: 40231
    {'lmfdb_iso': '1520.c', 'p': 89, 'prec': 20, 'unit': 4974202352420107862021001381892555894, 'val': 1}