Elliptic curve data - 5520.v2

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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': '5520g', 'Clabel': '5520g2', 'Cnumber': 2, 'abc_quality': 0.8642571261120472, 'absD': 121881600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, 1, 0, -136, 260], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 5520, 'degree': 1536, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24765643952406513656860946266', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [273671716, 119025], 'lmfdb_iso': '5520.v', 'lmfdb_label': '5520.v2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -136, -260], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '60.12.0-2.a.1.1', '92.12.0.?', '120.24.0.?', '184.24.0.?', '1380.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2890729135991604631805483025', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 1840], [5, 6, 1104], [23, 24, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32996621094255595461241730522', 'prec': 107}, 'szpiro_ratio': 3.0592507344979945, '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, 1, 0, -1, 0, 0, 0, 1, 0, -4, 0, 2, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, 1, -1, 0, -4, 2, 2, 0, 1, -6, 0, -6, 2, -12, 0, 10, 12, -6, -12, 12, 2, -16, -16, 14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 5520, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '5520.v', 'trace_hash': 718519758418240048}
• 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': '0.60938021516440849161673450002', 'prec': 103}, 'conductor': 5520, 'gens': [[-8, 30, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2890729135991604631805483025', 'prec': 100}], 'lmfdb_label': '5520.v2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6767241034398295366435449749', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3228392506462423429350652237715018088', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2, 0, 1], [10, 0, 1]], 'xcoord_integral_points': [-13, -8, 2, 10, 14, 56]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [5, 0], '7': [1, 1, 0], '11': [3, 0], '13': [3, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '5520.v2'}
• ec_torsion_growth •

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

  
  
  • id: 286392
    {'degree': 4, 'field': [4, 0, 19, 0, 1], 'lmfdb_label': '5520.v2', 'torsion': [2, 4]}
  • id: 286393
    {'degree': 4, 'field': [49, 0, 16, 0, 1], 'lmfdb_label': '5520.v2', 'torsion': [2, 4]}
  • id: 286391
    {'degree': 4, 'field': [121, 0, -24, 0, 1], 'lmfdb_label': '5520.v2', 'torsion': [2, 4]}
  • id: 286394
    {'degree': 8, 'field': [-48, 0, -304, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '5520.v2', 'torsion': [2, 6]}
  • id: 286396
    {'degree': 16, 'field': [33489, 0, -76200, 0, 67840, 0, -30744, 0, 7346, 0, -936, 0, 128, 0, -24, 0, 1], 'lmfdb_label': '5520.v2', 'torsion': [2, 8]}
  • id: 286398
    {'degree': 16, 'field': [40401, 0, 54072, 0, 22200, 0, -3288, 0, -3326, 0, -232, 0, 120, 0, 8, 0, 1], 'lmfdb_label': '5520.v2', 'torsion': [2, 8]}
  • id: 286395
    {'degree': 16, 'field': [3363616, 4989504, -2615840, -4404960, 1345218, 1029476, -334894, -27900, 37033, -26580, 12334, -4452, 1288, -280, 60, -8, 1], 'lmfdb_label': '5520.v2', 'torsion': [4, 4]}
  • id: 286397
    {'degree': 16, 'field': [60000516, 0, 29102976, 0, 7288365, 0, 1119114, 0, 111739, 0, 7484, 0, 435, 0, 26, 0, 1], 'lmfdb_label': '5520.v2', '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: 107552
    {'conductor': 5520, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '5520.v2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 107553
    {'conductor': 5520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5520.v2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 107554
    {'conductor': 5520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5520.v2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 107555
    {'conductor': 5520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5520.v2', 'prime': 23, 'reduction_type': 1, '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: 1699904
    {'adelic_gens': [[1, 4, 0, 1], [1657, 2, 0, 1], [2757, 4, 2756, 5], [689, 2756, 1378, 2751], [1841, 2, 0, 1], [1, 0, 4, 1], [1383, 2, 2758, 2759], [1201, 4, 2402, 9]], 'adelic_image': '2760.48.0.?', 'conductor': 5520, 'lmfdb_label': '5520.v2', 'prime': 0}
  • id: 27206
    {'conductor': 5520, 'elladic_image': '8.12.0.1', 'lmfdb_label': '5520.v2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 207274
    {'lmfdb_iso': '5520.v', 'p': 11, 'prec': 20, 'unit': 4383694737874632039, 'val': 2}
  • id: 207280
    {'lmfdb_iso': '5520.v', 'p': 13, 'prec': 20, 'unit': 3395805084052952920, 'val': 2}
  • id: 207282
    {'lmfdb_iso': '5520.v', 'p': 17, 'prec': 20, 'unit': 105629192816784718270819, 'val': 1}
  • id: 207279
    {'lmfdb_iso': '5520.v', 'p': 29, 'prec': 20, 'unit': 3139359577630493330592308827, 'val': 1}
  • id: 207275
    {'lmfdb_iso': '5520.v', 'p': 37, 'prec': 20, 'unit': 262027704956650173215969824792, 'val': 1}
  • id: 207277
    {'lmfdb_iso': '5520.v', 'p': 41, 'prec': 20, 'unit': 2874295200908141179846012239403, 'val': 1}
  • id: 207278
    {'lmfdb_iso': '5520.v', 'p': 43, 'prec': 20, 'unit': 1084983526850283318488241553649, 'val': 1}
  • id: 207284
    {'lmfdb_iso': '5520.v', 'p': 53, 'prec': 20, 'unit': 559681574700800080540773664761882, 'val': 1}
  • id: 207287
    {'lmfdb_iso': '5520.v', 'p': 59, 'prec': 20, 'unit': 1728715436731746975157979680584943, 'val': 1}
  • id: 207288
    {'lmfdb_iso': '5520.v', 'p': 61, 'prec': 20, 'unit': 8158886729097918754090315415417138, 'val': 1}
  • id: 207273
    {'lmfdb_iso': '5520.v', 'p': 67, 'prec': 20, 'unit': 555944652890751560361546546318693, 'val': 1}
  • id: 207276
    {'lmfdb_iso': '5520.v', 'p': 71, 'prec': 20, 'unit': 122629658563061033156683392213932803, 'val': 1}
  • id: 207285
    {'lmfdb_iso': '5520.v', 'p': 73, 'prec': 20, 'unit': 211082193056855435210880701041180076, 'val': 1}
  • id: 207281
    {'lmfdb_iso': '5520.v', 'p': 79, 'prec': 20, 'unit': 848801194460162806776096997640550830, 'val': 1}
  • id: 207283
    {'lmfdb_iso': '5520.v', 'p': 83, 'prec': 20, 'unit': 741196033221318785366163214447957566, 'val': 1}
  • id: 207286
    {'lmfdb_iso': '5520.v', 'p': 89, 'prec': 20, 'unit': 10193584736492465256584614158350979230, 'val': 1}
  • id: 207272
    {'lmfdb_iso': '5520.v', 'p': 97, 'prec': 20, 'unit': 16535225217906452185307923668162017230, 'val': 1}