Elliptic curve data - 8280.p1

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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': '8280l', 'Clabel': '8280l3', 'Cnumber': 3, 'abc_quality': 0.9066474358545433, 'absD': 1738402560000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -9507, -351106], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 8280, 'degree': 12288, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1435361741380926369748481418', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [63649751618, 1164375], 'lmfdb_iso': '8280.p', 'lmfdb_label': '8280.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1056, 13356], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.2', '40.12.0-4.c.1.5', '120.24.0.?', '184.12.0.?', '276.12.0.?', '552.24.0.?', '920.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.041154885709245409021903921332', 'prec': 110}, 'szpiro_ratio': 4.333262566769355, '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, 1, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 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': 8280, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '8280.p', 'trace_hash': 645654354816984172}
• 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': '0.10156336919406808193612241667', 'prec': 103}, 'conductor': 8280, 'gens': [], 'heights': [], 'lmfdb_label': '8280.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48402855623885974914049539241', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9361142249554389965619815696258844038', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-62, 0, 1]], 'xcoord_integral_points': [-62]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '8280.p1'}
• ec_torsion_growth •

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

  
  
  • id: 433308
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [2, 2]}
  • id: 433309
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [4]}
  • id: 433310
    {'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [4]}
  • id: 433311
    {'degree': 4, 'field': [169, 0, -20, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [2, 4]}
  • id: 433312
    {'degree': 8, 'field': [100, 0, -4176, 0, 124, 0, -24, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [2, 4]}
  • id: 433315
    {'degree': 8, 'field': [150, -5100, 3750, -2370, 750, -120, 4, -4, 1], 'lmfdb_label': '8280.p1', 'torsion': [6]}
  • id: 433313
    {'degree': 8, 'field': [1375, 100, 70, -320, 111, 56, -14, -4, 1], 'lmfdb_label': '8280.p1', 'torsion': [8]}
  • id: 433314
    {'degree': 8, 'field': [34596, 0, 2064, 0, 541, 0, -26, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [8]}
  • id: 433319
    {'degree': 16, 'field': [-28585559700, 21801857280, -253426544, -3683337128, 1296347692, -168262848, -36013404, 11544120, 2055700, -422240, -87920, -3420, 3396, 372, -68, -8, 1], 'lmfdb_label': '8280.p1', 'torsion': [2, 6]}
  • id: 433320
    {'degree': 16, 'field': [720801, 0, 3806172, 0, 1791976, 0, 471144, 0, 92166, 0, 12316, 0, 996, 0, 48, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [12]}
  • id: 433316
    {'degree': 16, 'field': [9150625, 0, 0, 0, 1513004, 0, 0, 0, 64518, 0, 0, 0, -148, 0, 0, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [4, 4]}
  • id: 433318
    {'degree': 16, 'field': [101251620, 25457760, -14943816, -20530656, 9038568, 1426896, -401252, -63248, 18477, -6976, 6728, -3096, 698, -112, 36, -8, 1], 'lmfdb_label': '8280.p1', 'torsion': [2, 8]}
  • id: 433317
    {'degree': 16, 'field': [306425025, 0, 93260160, 0, 25593696, 0, 4109472, 0, 392674, 0, 20096, 0, 864, 0, 32, 0, 1], 'lmfdb_label': '8280.p1', 'torsion': [2, 8]}
  • id: 433321
    {'degree': 16, 'field': [12559773076, -1920536288, 2812014744, -1235760296, 604438324, -191215008, 84616996, -21149000, 4856640, -949400, 102796, -8388, 544, 4, 24, -8, 1], 'lmfdb_label': '8280.p1', '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: 172311
    {'conductor': 8280, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '8280.p1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 172312
    {'conductor': 8280, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '8280.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 172313
    {'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '8280.p1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 172314
    {'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8280.p1', 'prime': 23, '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: 1718744
    {'adelic_gens': [[2416, 1043, 2419, 2448], [1, 0, 8, 1], [1, 8, 0, 1], [1657, 8, 1108, 33], [1, 4, 4, 17], [919, 2752, 916, 2727], [1328, 3, 485, 2], [7, 6, 2754, 2755], [1728, 353, 1027, 1014], [2753, 8, 2752, 9]], 'adelic_image': '2760.48.0.?', 'conductor': 8280, 'lmfdb_label': '8280.p1', 'prime': 0}
  • id: 40590
    {'conductor': 8280, 'elladic_image': '4.6.0.1', 'lmfdb_label': '8280.p1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 8280.p does not appear in ec_padic