Elliptic curve data - 9240.l2

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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': '9240h', 'Clabel': '9240h3', 'Cnumber': 3, 'abc_quality': 0.8933278986703831, 'absD': 152127360000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -2520, -44100], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 9240, 'degree': 12288, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88673555919748586394753320008', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [1729010797924, 148561875], 'lmfdb_iso': '9240.l', 'lmfdb_label': '9240.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2520, -44100], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '44.24.0-44.h.1.1', '280.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.73121064917812258720087707118', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [3, 4, 3080], [5, 6, 1848], [7, 8, 1320], [11, 12, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30911290873086477276650643220', 'prec': 103}, 'szpiro_ratio': 3.84502242566046, '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, -1, 0, 1, 0, 1, 0, 6, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, -1, 1, -1, 1, 6, -6, -4, -4, 6, -4, 6, -2, -4, 0, 14, 0, -6, -8, -8, -14, 0, 4, -14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 9240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '9240.l', 'trace_hash': 1694558680776607833}
• 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': '0.16974276781075196381943411808', 'prec': 103}, 'conductor': 9240, 'gens': [[-30, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.73121064917812258720087707118', 'prec': 103}], 'lmfdb_label': '9240.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.67749614157759147971569098319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9631391479889913223695442844287417005', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-35, 0, 1]], 'xcoord_integral_points': [-35, -30, 65, 210]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '9240.l2'}
• ec_torsion_growth •

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

  
  
  • id: 479829
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 2]}
  • id: 479830
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [4]}
  • id: 479831
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '9240.l2', 'torsion': [4]}
  • id: 479832
    {'degree': 4, 'field': [-2, -28, -4, -2, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 4]}
  • id: 479833
    {'degree': 4, 'field': [9, 0, -5, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 4]}
  • id: 479837
    {'degree': 8, 'field': [-43923, 0, 6292, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [6]}
  • id: 479834
    {'degree': 8, 'field': [625, -50, 2, 94, -41, -10, 8, -4, 1], 'lmfdb_label': '9240.l2', 'torsion': [4, 4]}
  • id: 479835
    {'degree': 8, 'field': [9801, 0, 0, 0, -117, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [8]}
  • id: 479836
    {'degree': 8, 'field': [234256, 0, 0, 0, -572, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [8]}
  • id: 479842
    {'degree': 16, 'field': [3759721, -24346084, 78826568, -76728336, 36860756, 1598404, -240176, 280248, -154370, 32052, 4168, -1696, 404, -84, 32, -8, 1], 'lmfdb_label': '9240.l2', 'torsion': [12]}
  • id: 479843
    {'degree': 16, 'field': [30187305, -46541160, 4895640, 74997072, -16728246, -25008660, 8433040, 2860, -104313, 62744, -5236, -5268, 1970, -532, 96, -8, 1], 'lmfdb_label': '9240.l2', 'torsion': [12]}
  • id: 479839
    {'degree': 16, 'field': [87974100, -54577800, -17244900, -6483240, 10672254, -214272, 1173258, -270648, 89689, 2124, -1562, 144, -48, -36, -20, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 8]}
  • id: 479841
    {'degree': 16, 'field': [214358881, 0, -155897368, 0, 14816692, 0, -6527224, 0, 676390, 0, -53944, 0, 1012, 0, -88, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 6]}
  • id: 479840
    {'degree': 16, 'field': [218596225, 0, -25862620, 0, 6354926, 0, -746052, 0, 44939, 0, -516, 0, 314, 0, 8, 0, 1], 'lmfdb_label': '9240.l2', 'torsion': [2, 8]}
  • id: 479838
    {'degree': 16, 'field': [2295943056, 0, 0, 0, -151797888, 0, 0, 0, 1272744, 0, 0, 0, -3168, 0, 0, 0, 1], 'lmfdb_label': '9240.l2', '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: 193551
    {'conductor': 9240, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '9240.l2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 193552
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '9240.l2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 193553
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.l2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 193554
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9240.l2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 193555
    {'conductor': 9240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9240.l2', 'prime': 11, '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: 1725024
    {'adelic_gens': [[2201, 8, 2644, 33], [1, 0, 8, 1], [3073, 8, 3072, 9], [2696, 1163, 2699, 2728], [617, 8, 2468, 33], [7, 6, 3074, 3075], [844, 1, 2543, 6], [2699, 2698, 1938, 395], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '3080.48.0.?', 'conductor': 9240, 'lmfdb_label': '9240.l2', 'prime': 0}
  • id: 44839
    {'conductor': 9240, 'elladic_image': '4.12.0.8', 'lmfdb_label': '9240.l2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 386854
    {'lmfdb_iso': '9240.l', 'p': 13, 'prec': 20, 'unit': 1006641786274103531143, 'val': 1}
  • id: 386856
    {'lmfdb_iso': '9240.l', 'p': 17, 'prec': 20, 'unit': 176908730103199056117096, 'val': 1}
  • id: 386847
    {'lmfdb_iso': '9240.l', 'p': 19, 'prec': 20, 'unit': 77101339681031492844393, 'val': 1}
  • id: 386860
    {'lmfdb_iso': '9240.l', 'p': 23, 'prec': 20, 'unit': 72621819436488297610986472, 'val': 1}
  • id: 386855
    {'lmfdb_iso': '9240.l', 'p': 29, 'prec': 20, 'unit': 2496314784093096865153865168, 'val': 1}
  • id: 386863
    {'lmfdb_iso': '9240.l', 'p': 31, 'prec': 20, 'unit': 18017044405940100492565968200, 'val': 1}
  • id: 386850
    {'lmfdb_iso': '9240.l', 'p': 37, 'prec': 20, 'unit': 266957175314295727129844494987, 'val': 1}
  • id: 386852
    {'lmfdb_iso': '9240.l', 'p': 41, 'prec': 20, 'unit': 2597020862310686334079258404745, 'val': 1}
  • id: 386853
    {'lmfdb_iso': '9240.l', 'p': 43, 'prec': 20, 'unit': 7839682662625923878939135408020, 'val': 1}
  • id: 386858
    {'lmfdb_iso': '9240.l', 'p': 53, 'prec': 20, 'unit': 101001712997794079940977613663658, 'val': 1}
  • id: 386862
    {'lmfdb_iso': '9240.l', 'p': 61, 'prec': 20, 'unit': 7170630472969325793783409454292403, 'val': 1}
  • id: 386849
    {'lmfdb_iso': '9240.l', 'p': 67, 'prec': 20, 'unit': 23754946185558696853017556218476477, 'val': 1}
  • id: 386851
    {'lmfdb_iso': '9240.l', 'p': 71, 'prec': 20, 'unit': 31643042604189854677999915852206477, 'val': 1}
  • id: 386859
    {'lmfdb_iso': '9240.l', 'p': 73, 'prec': 20, 'unit': 203988587943616443598511204114141038, 'val': 1}
  • id: 386857
    {'lmfdb_iso': '9240.l', 'p': 83, 'prec': 20, 'unit': 1696923552484524051167469113104480899, 'val': 1}
  • id: 386861
    {'lmfdb_iso': '9240.l', 'p': 89, 'prec': 20, 'unit': 10068289368890117312906354448862390668, 'val': 1}
  • id: 386848
    {'lmfdb_iso': '9240.l', 'p': 97, 'prec': 20, 'unit': 9233998139953654230065158564780744524, 'val': 1}