Elliptic curve data - 8280.q1

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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': '8280p', 'Clabel': '8280p2', 'Cnumber': 2, 'abc_quality': 1.0689706805542092, 'absD': 533110118400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [0, 0, 0, -2187, 17766], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8280, 'degree': 7680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94489886062954333837668380351', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [28697814, 13225], 'lmfdb_iso': '8280.q', 'lmfdb_label': '8280.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -243, -658], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '920.6.0.?', '1380.6.0.?', '2760.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7298485579550391527016207490', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51444527138482213046887956885', 'prec': 107}, 'szpiro_ratio': 3.844602712698884, '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, 4, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, 0, 1, 0, -4, 4, -4, 4, -1, -6, 4, -2, 0, -4, 0, -6, -6, -4, 4, -4, -2, 10, 18, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 8280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8280.q', 'trace_hash': 1972216048208419231}
• 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': '0.15110237054253727937409544571', 'prec': 103}, 'conductor': 8280, 'gens': [[-50, 46, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.7298485579550391527016207490', 'prec': 100}], 'lmfdb_label': '8280.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.82845558675985639309958052028', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5231165776923796037203438943127002333', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[42, 0, 1]], 'xcoord_integral_points': [-50, 42]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '8280.q1'}
• ec_torsion_growth •

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

  
  
  • id: 433365
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [2, 2]}
  • id: 433366
    {'degree': 4, 'field': [96, 0, -42, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [4]}
  • id: 433369
    {'degree': 8, 'field': [-108, 0, 252, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [6]}
  • id: 433367
    {'degree': 8, 'field': [16, 0, -14120, 0, 1953, 0, -80, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [2, 4]}
  • id: 433368
    {'degree': 8, 'field': [400, 0, 64, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [2, 4]}
  • id: 433371
    {'degree': 16, 'field': [7617600, 0, 0, 0, 529920, 0, -8736, 0, -41712, 0, 5376, 0, 4, 0, -28, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [2, 6]}
  • id: 433370
    {'degree': 16, 'field': [2428518400, 0, -963788800, 0, 131104640, 0, -8832640, 0, 504676, 0, -37964, 0, 2261, 0, -74, 0, 1], 'lmfdb_label': '8280.q1', 'torsion': [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: 172339
    {'conductor': 8280, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '8280.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 172340
    {'conductor': 8280, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '8280.q1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 172341
    {'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8280.q1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 172342
    {'conductor': 8280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8280.q1', '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: 1718748
    {'adelic_gens': [[1, 2, 2, 5], [1844, 1, 919, 0], [1, 4, 0, 1], [2757, 4, 2756, 5], [1657, 4, 554, 9], [2, 1, 1379, 0], [1, 0, 4, 1], [1036, 1729, 345, 2416], [3, 4, 8, 11], [1201, 4, 2402, 9]], 'adelic_image': '2760.12.0.?', 'conductor': 8280, 'lmfdb_label': '8280.q1', 'prime': 0}
  • id: 40594
    {'conductor': 8280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8280.q1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 342256
    {'lmfdb_iso': '8280.q', 'p': 11, 'prec': 20, 'unit': 57196646052733244859, 'val': 1}
  • id: 342254
    {'lmfdb_iso': '8280.q', 'p': 13, 'prec': 20, 'unit': 1111591993545069854169, 'val': 1}
  • id: 342257
    {'lmfdb_iso': '8280.q', 'p': 17, 'prec': 20, 'unit': 49399949665022102836684, 'val': 1}
  • id: 342258
    {'lmfdb_iso': '8280.q', 'p': 19, 'prec': 20, 'unit': 723638743526385627952784, 'val': 1}
  • id: 342253
    {'lmfdb_iso': '8280.q', 'p': 29, 'prec': 20, 'unit': 589666282610243925703001803, 'val': 1}
  • id: 342263
    {'lmfdb_iso': '8280.q', 'p': 31, 'prec': 20, 'unit': 17205716625587439787785765822, 'val': 1}
  • id: 342249
    {'lmfdb_iso': '8280.q', 'p': 37, 'prec': 20, 'unit': 143745503000282046224580545951, 'val': 1}
  • id: 342252
    {'lmfdb_iso': '8280.q', 'p': 43, 'prec': 20, 'unit': 8456245996666692488748842324399, 'val': 1}
  • id: 342259
    {'lmfdb_iso': '8280.q', 'p': 53, 'prec': 20, 'unit': 21158789630338876636438147714276, 'val': 1}
  • id: 342261
    {'lmfdb_iso': '8280.q', 'p': 59, 'prec': 20, 'unit': 4352400421533854538635512722643379, 'val': 1}
  • id: 342262
    {'lmfdb_iso': '8280.q', 'p': 61, 'prec': 20, 'unit': 4167339454998826816290253235212777, 'val': 1}
  • id: 342248
    {'lmfdb_iso': '8280.q', 'p': 67, 'prec': 20, 'unit': 34396901145421994338627227651181119, 'val': 1}
  • id: 342250
    {'lmfdb_iso': '8280.q', 'p': 71, 'prec': 20, 'unit': 146585613084539741963013402510647912, 'val': 1}
  • id: 342251
    {'lmfdb_iso': '8280.q', 'p': 73, 'prec': 20, 'unit': 445860835026740805187947265822008, 'val': 2}
  • id: 342255
    {'lmfdb_iso': '8280.q', 'p': 79, 'prec': 20, 'unit': 433758506866150136970555859562125341, 'val': 1}
  • id: 342247
    {'lmfdb_iso': '8280.q', 'p': 83, 'prec': 20, 'unit': 378547001647353728867137507328066017, 'val': 1}
  • id: 342260
    {'lmfdb_iso': '8280.q', 'p': 89, 'prec': 20, 'unit': 645862990636037936217379326118898143, 'val': 1}
  • id: 342246
    {'lmfdb_iso': '8280.q', 'p': 97, 'prec': 20, 'unit': 45188092725019413143805607512538361058, 'val': 1}