Elliptic curve data - 10920.l1

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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': '10920f', 'Clabel': '10920f3', 'Cnumber': 3, 'abc_quality': 0.9650162965428898, 'absD': 473990130432000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -146760, -21565908], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 10920, 'degree': 55296, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7212022517855465857961412877', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [170694618101416082, 231440493375], 'lmfdb_iso': '10920.l', 'lmfdb_label': '10920.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -146760, -21565908], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0-4.c.1.2', '120.24.0.?', '728.12.0.?', '2184.24.0.?', '3640.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8690534134416835005507950836', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0858173362722633854970118430', 'prec': 100}, 'szpiro_ratio': 5.087275175320575, '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, 0, 0, -1, 0, -1, 0, -2, 0, -4, 0], 'aplist': [0, -1, 1, 1, 0, -1, -2, -4, 4, -2, 0, -6, 10, -8, 12, -10, 4, 2, -4, 8, 2, -8, -4, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 10920, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '10920.l', 'trace_hash': 595015316057256944}
• 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': '0.031987678296427214666917728884', 'prec': 107}, 'conductor': 10920, 'gens': [[449, 1690, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8690534134416835005507950836', 'prec': 100}], 'lmfdb_label': '10920.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24393984503946506432252172876', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1992586705094754030178696024749439365', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-227, 0, 1]], 'xcoord_integral_points': [-227, 449]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [4, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '10920.l1'}
• ec_torsion_growth •

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

  
  
  • id: 566288
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [2, 2]}
  • id: 566289
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [4]}
  • id: 566290
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [4]}
  • id: 566291
    {'degree': 4, 'field': [81, 0, -12, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [2, 4]}
  • id: 566295
    {'degree': 8, 'field': [-27, 0, 792, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [6]}
  • id: 566292
    {'degree': 8, 'field': [691, 484, -538, 112, -65, 8, 2, -4, 1], 'lmfdb_label': '10920.l1', 'torsion': [2, 4]}
  • id: 566293
    {'degree': 8, 'field': [207936, 0, 20436, 0, 496, 0, -39, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [8]}
  • id: 566294
    {'degree': 8, 'field': [1483524, 0, -93744, 0, 6036, 0, -120, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [8]}
  • id: 566301
    {'degree': 16, 'field': [140625, 0, -652500, 0, 761400, 0, 20304, 0, 2118, 0, 4284, 0, 292, 0, 16, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [12]}
  • id: 566296
    {'degree': 16, 'field': [477481, 0, 977772, 0, 91198, 0, -52416, 0, 5535, 0, 504, 0, -62, 0, 12, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [4, 4]}
  • id: 566300
    {'degree': 16, 'field': [15752961, -22289904, 30734640, -14922144, 6399972, 988740, -588024, 74184, 63670, -38600, 3832, -440, 376, -140, 40, -8, 1], 'lmfdb_label': '10920.l1', 'torsion': [12]}
  • id: 566298
    {'degree': 16, 'field': [29742595750, -31735168500, 10777169550, -2949088800, 1919124155, -334458420, 81248190, -22896480, 3548361, -186540, 95514, -10560, 821, -300, -6, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [2, 8]}
  • id: 566299
    {'degree': 16, 'field': [722386104489, 0, -156670210368, 0, 19315646532, 0, -1353598128, 0, 56767230, 0, -1508256, 0, 25236, 0, -240, 0, 1], 'lmfdb_label': '10920.l1', 'torsion': [2, 6]}
  • id: 566297
    {'degree': 16, 'field': [762773410161, 0, 40449330936, 0, 4206538008, 0, -18995256, 0, 10964898, 0, 554328, 0, 13272, 0, 168, 0, 1], 'lmfdb_label': '10920.l1', '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: 233516
    {'conductor': 10920, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '10920.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 233517
    {'conductor': 10920, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10920.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 233518
    {'conductor': 10920, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '10920.l1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 233519
    {'conductor': 10920, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10920.l1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 233520
    {'conductor': 10920, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10920.l1', 'prime': 13, '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: 1736423
    {'adelic_gens': [[4096, 9563, 1369, 1398], [1, 0, 8, 1], [10913, 8, 10912, 9], [1, 8, 0, 1], [1, 4, 4, 17], [7288, 3, 7285, 2], [4201, 8, 5884, 33], [7, 6, 10914, 10915], [2188, 1, 4391, 6], [1368, 6833, 1393, 1440], [7801, 8, 9364, 33]], 'adelic_image': '10920.48.0.?', 'conductor': 10920, 'lmfdb_label': '10920.l1', 'prime': 0}
  • id: 52605
    {'conductor': 10920, 'elladic_image': '4.6.0.1', 'lmfdb_label': '10920.l1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 469376
    {'lmfdb_iso': '10920.l', 'p': 17, 'prec': 20, 'unit': 97660335777163436108088, 'val': 1}
  • id: 469367
    {'lmfdb_iso': '10920.l', 'p': 19, 'prec': 20, 'unit': 720730337158545320168046, 'val': 1}
  • id: 469381
    {'lmfdb_iso': '10920.l', 'p': 23, 'prec': 20, 'unit': 63672534224600079815708409, 'val': 1}
  • id: 469374
    {'lmfdb_iso': '10920.l', 'p': 29, 'prec': 20, 'unit': 3399578012576414509775749761, 'val': 1}
  • id: 469370
    {'lmfdb_iso': '10920.l', 'p': 37, 'prec': 20, 'unit': 299219280840191419093416523918, 'val': 1}
  • id: 469372
    {'lmfdb_iso': '10920.l', 'p': 41, 'prec': 20, 'unit': 529319588553833483176708530129, 'val': 1}
  • id: 469373
    {'lmfdb_iso': '10920.l', 'p': 43, 'prec': 20, 'unit': 5278250157295277872354930234727, 'val': 1}
  • id: 469383
    {'lmfdb_iso': '10920.l', 'p': 47, 'prec': 20, 'unit': 24492473868574910983807986225808, 'val': 1}
  • id: 469378
    {'lmfdb_iso': '10920.l', 'p': 53, 'prec': 20, 'unit': 49771362031444649240616185758400, 'val': 1}
  • id: 469379
    {'lmfdb_iso': '10920.l', 'p': 59, 'prec': 20, 'unit': 3272982738489423341444976050957637, 'val': 1}
  • id: 469384
    {'lmfdb_iso': '10920.l', 'p': 61, 'prec': 20, 'unit': 3042026224274606650975725835257862, 'val': 1}
  • id: 469369
    {'lmfdb_iso': '10920.l', 'p': 67, 'prec': 20, 'unit': 12614475872759081720188445013215745, 'val': 1}
  • id: 469371
    {'lmfdb_iso': '10920.l', 'p': 71, 'prec': 20, 'unit': 101673911950544465899525336760597438, 'val': 1}
  • id: 469380
    {'lmfdb_iso': '10920.l', 'p': 73, 'prec': 20, 'unit': 211385488047051418877287808870177579, 'val': 1}
  • id: 469375
    {'lmfdb_iso': '10920.l', 'p': 79, 'prec': 20, 'unit': 730446096223991035610308563428407550, 'val': 1}
  • id: 469377
    {'lmfdb_iso': '10920.l', 'p': 83, 'prec': 20, 'unit': 1568823997178222577878230091161355153, 'val': 1}
  • id: 469382
    {'lmfdb_iso': '10920.l', 'p': 89, 'prec': 20, 'unit': 2412248196521130126006946701503714050, 'val': 1}
  • id: 469368
    {'lmfdb_iso': '10920.l', 'p': 97, 'prec': 20, 'unit': 51551694763835704274718367752497295570, 'val': 1}