Elliptic curve data - 41280.s2

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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': '41280d', 'Clabel': '41280d3', 'Cnumber': 3, 'abc_quality': 0.9745590204547626, 'absD': 100042958438400, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5160, 'ainvs': [0, -1, 0, -318881, -69201375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 41280, 'degree': 276480, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7889212912126121390390298496', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [13679527032530281, 381633600], 'lmfdb_iso': '41280.s', 'lmfdb_label': '41280.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4983, -135782], 'min_quad_twist_disc': 8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.3', '40.6.0.c.1', '60.24.0-6.a.1.9', '120.48.0.?', '258.24.0.?', '1032.48.0.?', '2580.48.0.?', '5160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.761219469559134280646901556', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 129], [3, 4, 320], [5, 6, 8256], [43, 44, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74920052037269417491318166741', 'prec': 103}, 'szpiro_ratio': 4.669806457473999, '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, -1, 0, -1, 0, 2, 0, 1, 0, 6, 0, -2, 0, 1, 0, 0, 0, -2, 0], 'aplist': [0, -1, -1, 2, 6, -2, 0, -2, 6, -6, 8, -2, -6, -1, 6, 6, -6, -8, 4, 0, -4, 8, 0, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 41280, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '41280.s', 'trace_hash': 1730981923313183601}
• 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': '0.027935902696280067329677088928', 'prec': 107}, 'conductor': 41280, 'gens': [[3688323, 6819081780, 41]], 'heights': [{'__RealLiteral__': 0, 'data': '13.761219469559134280646901556', 'prec': 100}], 'lmfdb_label': '41280.s2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20090604640507097506274623253', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5294243946832272401891786672250376954', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-327, 0, 1]], 'xcoord_integral_points': [-327]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [5, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '41280.s2'}
• ec_torsion_growth •

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

  
  
  • id: 2028702
    {'degree': 2, 'field': [-32, -1, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 2]}
  • id: 2028703
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [6]}
  • id: 2028704
    {'degree': 4, 'field': [26, 8, 3, -2, 1], 'lmfdb_label': '41280.s2', 'torsion': [4]}
  • id: 2028705
    {'degree': 4, 'field': [400, 0, 46, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 6]}
  • id: 2028706
    {'degree': 6, 'field': [2017, -540, 12, -90, -6, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [6]}
  • id: 2028709
    {'degree': 8, 'field': [24, -120, 226, -232, 167, -64, 26, -4, 1], 'lmfdb_label': '41280.s2', 'torsion': [12]}
  • id: 2028708
    {'degree': 8, 'field': [57600, 0, -8520, 0, 529, 0, -14, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 4]}
  • id: 2028707
    {'degree': 8, 'field': [342058, 177248, 27869, 15806, 4177, -236, -121, -2, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 4]}
  • id: 2028710
    {'degree': 12, 'field': [6889, 14940, 11796, 2160, -2154, -360, 206, -360, 24, 0, 6, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [3, 6]}
  • id: 2028711
    {'degree': 12, 'field': [149299102, 720340296, -5838003, -68958190, 12371001, 2648148, -568399, -65850, 15351, 820, -189, -6, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 6]}
  • id: 2028714
    {'degree': 16, 'field': [1679616, 0, -3001536, 0, 1319652, 0, 39420, 0, 2601, 0, -1680, 0, 322, 0, 4, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 12]}
  • id: 2028713
    {'degree': 16, 'field': [2746457152, 257644288, -93656512, 149741568, 98897972, 5767088, -970556, 597312, 260593, -107652, -7412, 2596, 1346, -204, 8, -4, 1], 'lmfdb_label': '41280.s2', 'torsion': [2, 12]}
  • id: 2028712
    {'degree': 16, 'field': [21334862761, -1178565800, 4934277472, -59184560, 587226048, 1683400, 43784704, 242400, 2185030, 1800, 71744, -1200, 1808, -40, 32, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [8]}
  • id: 2028715
    {'degree': 18, 'field': [16615372860000, 0, 14490150750000, 0, 1344476313000, 0, 71072910900, 0, 1789500600, 0, 11838420, 0, 128676, 0, 5184, 0, 36, 0, 1], 'lmfdb_label': '41280.s2', 'torsion': [18]}
• 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: 978477
    {'conductor': 41280, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '41280.s2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 978478
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41280.s2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 978479
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '41280.s2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 978480
    {'conductor': 41280, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '41280.s2', 'prime': 43, '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: 1939604
    {'adelic_gens': [[5149, 12, 5148, 13], [2579, 5148, 5154, 5087], [11, 2, 5110, 5151], [4330, 3, 693, 5152], [1, 0, 12, 1], [4310, 3, 1693, 5152], [1, 6, 6, 37], [1515, 2368, 1478, 2357], [1, 12, 0, 1], [3097, 12, 3102, 73]], 'adelic_image': '5160.96.1.?', 'conductor': 41280, 'lmfdb_label': '41280.s2', 'prime': 0}
  • id: 180854
    {'conductor': 41280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '41280.s2', 'modell_image': '2B', 'prime': 2}
  • id: 180855
    {'conductor': 41280, 'elladic_image': '3.4.0.1', 'lmfdb_label': '41280.s2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2049772
    {'lmfdb_iso': '41280.s', 'p': 7, 'prec': 20, 'unit': 6314765029680180, 'val': 1}
  • id: 2049774
    {'lmfdb_iso': '41280.s', 'p': 11, 'prec': 20, 'unit': 35185242878515827291, 'val': 1}
  • id: 2049776
    {'lmfdb_iso': '41280.s', 'p': 13, 'prec': 20, 'unit': 1019306247209483828226, 'val': 1}
  • id: 2049779
    {'lmfdb_iso': '41280.s', 'p': 19, 'prec': 20, 'unit': 73379584526655200086914, 'val': 2}
  • id: 2049782
    {'lmfdb_iso': '41280.s', 'p': 23, 'prec': 20, 'unit': 14503664121058122871761255, 'val': 1}
  • id: 2049775
    {'lmfdb_iso': '41280.s', 'p': 29, 'prec': 20, 'unit': 4847549433367430697570986448, 'val': 1}
  • id: 2049786
    {'lmfdb_iso': '41280.s', 'p': 31, 'prec': 20, 'unit': 14260902989595291004705883645, 'val': 1}
  • id: 2049771
    {'lmfdb_iso': '41280.s', 'p': 37, 'prec': 20, 'unit': 267107356989523384942558880587, 'val': 1}
  • id: 2049773
    {'lmfdb_iso': '41280.s', 'p': 41, 'prec': 20, 'unit': 3704334189677539607575622522314, 'val': 1}
  • id: 2049784
    {'lmfdb_iso': '41280.s', 'p': 47, 'prec': 20, 'unit': 51538326026811765174731856655841, 'val': 1}
  • id: 2049780
    {'lmfdb_iso': '41280.s', 'p': 53, 'prec': 20, 'unit': 155262492526588126757734209031403, 'val': 1}
  • id: 2049778
    {'lmfdb_iso': '41280.s', 'p': 59, 'prec': 20, 'unit': 1756789290417811595849097903457546, 'val': 1}
  • id: 2049785
    {'lmfdb_iso': '41280.s', 'p': 61, 'prec': 20, 'unit': 4687359527607999372298304804347257, 'val': 1}
  • id: 2049770
    {'lmfdb_iso': '41280.s', 'p': 67, 'prec': 20, 'unit': 45353727472526352946790611668699514, 'val': 1}
  • id: 2049781
    {'lmfdb_iso': '41280.s', 'p': 73, 'prec': 20, 'unit': 193185593436869801132980813472980199, 'val': 1}
  • id: 2049777
    {'lmfdb_iso': '41280.s', 'p': 79, 'prec': 20, 'unit': 410819298997532230129743212600924666, 'val': 1}
  • id: 2049783
    {'lmfdb_iso': '41280.s', 'p': 89, 'prec': 20, 'unit': 5992596120106767061419659260458327838, 'val': 1}
  • id: 2049769
    {'lmfdb_iso': '41280.s', 'p': 97, 'prec': 20, 'unit': 54937843211965983147549809343102938207, 'val': 1}