Elliptic curve data - 95550.ie4

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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': '95550gs', 'Clabel': '95550gs1', 'Cnumber': 1, 'abc_quality': 0.9797737929026421, 'absD': 13155605299200000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 1, 1, -592313, 18001031], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 95550, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3583279716925853683834035583', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 212, 'isogeny_degrees': [1, 2, 4], 'jinv': [12501706118329, 7156531200], 'lmfdb_iso': '95550.ie', 'lmfdb_label': '95550.ie4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483, -627], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0-4.c.1.2', '104.12.0.?', '168.12.0.?', '280.12.0.?', '546.6.0.?', '840.24.0.?', '1092.12.0.?', '1560.24.0.?', '1820.12.0.?', '2184.24.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4989015206297262170699224121', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 47775], [3, 4, 31850], [5, 18, 1911], [7, 32, 1950], [13, 14, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58065394094787852853034751996', 'prec': 103}, 'szpiro_ratio': 4.490028462003043, '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, 1, -1, 1, 0, -1, 0, 1, 1, 0, 4, -1, -1, 0, 0, 1, 2, 1, -4, 0], 'aplist': [1, -1, 0, 0, 4, -1, 2, -4, -4, 2, 8, 6, -10, 4, 0, 6, -8, -10, 8, -16, 14, -16, 16, -18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 95550, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '95550.ie', 'trace_hash': 69247324574089156}
• 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': '0.0089450413137969655122456372013', 'prec': 110}, 'conductor': 95550, 'gens': [[-1, 4312, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4989015206297262170699224121', 'prec': 100}], 'lmfdb_label': '95550.ie4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.19177769161814286106644395197', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.5846713041487179071436176761038216628', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-785, 392, 1]], 'xcoord_integral_points': [-785, -1, 815]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [1, 0], '5': 'a', '7': 'a', '11': [3, 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': '95550.ie4'}
• ec_torsion_growth •

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

  
  
  • id: 4451240
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '95550.ie4', 'torsion': [2, 2]}
  • id: 4451242
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '95550.ie4', 'torsion': [4]}
  • id: 4451241
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '95550.ie4', 'torsion': [4]}
  • id: 4451243
    {'degree': 4, 'field': [2094, -183, 25, -1, 1], 'lmfdb_label': '95550.ie4', 'torsion': [2, 4]}
  • id: 4451247
    {'degree': 8, 'field': [-6286304, -398224, -196808, -7572, -1560, -318, 37, -1, 1], 'lmfdb_label': '95550.ie4', 'torsion': [6]}
  • id: 4451244
    {'degree': 8, 'field': [-5224184, -2216368, -55594, 45038, 9685, 892, -184, -2, 1], 'lmfdb_label': '95550.ie4', 'torsion': [2, 4]}
  • id: 4451245
    {'degree': 8, 'field': [15120, -5040, 8166, -6144, 2803, 320, -102, -4, 1], 'lmfdb_label': '95550.ie4', 'torsion': [8]}
  • id: 4451246
    {'degree': 8, 'field': [91296, -13104, -12582, 1512, 591, -84, -6, 0, 1], 'lmfdb_label': '95550.ie4', 'torsion': [8]}
  • id: 4451250
    {'degree': 16, 'field': [723394816, 0, -291930304, 0, 48811108, 0, -3805348, 0, 148921, 0, -7744, 0, 754, 0, 20, 0, 1], 'lmfdb_label': '95550.ie4', 'torsion': [2, 8]}
  • id: 4451249
    {'degree': 16, 'field': [1910307816, -480774888, 289369926, -51697752, -12603797, -8075256, -424950, 57004, 231803, 23128, -1150, 592, -687, -24, 14, -4, 1], 'lmfdb_label': '95550.ie4', 'torsion': [2, 8]}
  • id: 4451253
    {'degree': 16, 'field': [223731296104, -113104111180, 34724392578, -6952948485, 2302973610, -634103799, 117688039, -14458966, 5200785, -634890, 65688, -3633, 4172, -35, 15, -4, 1], 'lmfdb_label': '95550.ie4', 'torsion': [12]}
  • id: 4451251
    {'degree': 16, 'field': [1483623031524, -756981531864, -596316894398, 371122492853, 6363422650, -18067291083, -2871492831, 744903162, 83127473, -5825390, 470516, 42525, 2424, 1161, -95, -4, 1], 'lmfdb_label': '95550.ie4', 'torsion': [2, 6]}
  • id: 4451252
    {'degree': 16, 'field': [40991510103296, 7248230344448, 3354626087040, 70038156560, 53425253408, 8086283592, 36880900, 27179140, 3678600, -1415332, 245474, -15444, -1225, 830, 9, -2, 1], 'lmfdb_label': '95550.ie4', 'torsion': [12]}
  • id: 4451248
    {'degree': 16, 'field': [128057649857536, 0, -3607230745216, 0, 173697613348, 0, -1804544560, 0, 65034985, 0, -103792, 0, 13810, 0, 32, 0, 1], 'lmfdb_label': '95550.ie4', 'torsion': [4, 4]}
• 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: 2343255
    {'conductor': 95550, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '95550.ie4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 2343256
    {'conductor': 95550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '95550.ie4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2343257
    {'conductor': 95550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '95550.ie4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2343258
    {'conductor': 95550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '95550.ie4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2343259
    {'conductor': 95550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '95550.ie4', 'prime': 13, '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: 2293055
    {'adelic_gens': [[5924, 8735, 10585, 10914], [1, 8, 0, 1], [3011, 5190, 1370, 9011], [1, 0, 8, 1], [2183, 0, 0, 10919], [10196, 2185, 2935, 6], [1, 4, 4, 17], [5216, 6555, 10085, 2186], [7, 6, 10914, 10915], [10913, 8, 10912, 9], [7921, 7920, 2470, 10111]], 'adelic_image': '10920.48.0.?', 'conductor': 95550, 'lmfdb_label': '95550.ie4', 'prime': 0}
  • id: 385917
    {'conductor': 95550, 'elladic_image': '4.6.0.1', 'lmfdb_label': '95550.ie4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4968490
    {'lmfdb_iso': '95550.ie', 'p': 11, 'prec': 20, 'unit': 1652417199367358480, 'val': 2}
  • id: 4968491
    {'lmfdb_iso': '95550.ie', 'p': 17, 'prec': 20, 'unit': 66018817045213311491377, 'val': 1}
  • id: 4968492
    {'lmfdb_iso': '95550.ie', 'p': 19, 'prec': 20, 'unit': 671497868822253066324892, 'val': 1}
  • id: 4968495
    {'lmfdb_iso': '95550.ie', 'p': 23, 'prec': 20, 'unit': 23952085114430473051264141, 'val': 1}
  • id: 4968488
    {'lmfdb_iso': '95550.ie', 'p': 29, 'prec': 20, 'unit': 6043112821282416466366322643, 'val': 1}
  • id: 4968499
    {'lmfdb_iso': '95550.ie', 'p': 31, 'prec': 20, 'unit': 19878072791255205921393120978, 'val': 1}
  • id: 4968484
    {'lmfdb_iso': '95550.ie', 'p': 37, 'prec': 20, 'unit': 551486844209768777470354556353, 'val': 1}
  • id: 4968486
    {'lmfdb_iso': '95550.ie', 'p': 41, 'prec': 20, 'unit': 3811702481945433054820910925051, 'val': 1}
  • id: 4968487
    {'lmfdb_iso': '95550.ie', 'p': 43, 'prec': 20, 'unit': 9261072125280940198317296636088, 'val': 1}
  • id: 4968493
    {'lmfdb_iso': '95550.ie', 'p': 53, 'prec': 20, 'unit': 447823831534159236937384844753138, 'val': 1}
  • id: 4968497
    {'lmfdb_iso': '95550.ie', 'p': 59, 'prec': 20, 'unit': 1793895647121647291373232556253166, 'val': 1}
  • id: 4968498
    {'lmfdb_iso': '95550.ie', 'p': 61, 'prec': 20, 'unit': 1515935893317090217267323245720199, 'val': 1}
  • id: 4968483
    {'lmfdb_iso': '95550.ie', 'p': 67, 'prec': 20, 'unit': 23432899442166515284229923620962836, 'val': 1}
  • id: 4968485
    {'lmfdb_iso': '95550.ie', 'p': 71, 'prec': 20, 'unit': 45732554479811136225640137270396613, 'val': 1}
  • id: 4968494
    {'lmfdb_iso': '95550.ie', 'p': 73, 'prec': 20, 'unit': 42291218740119658881092657582299405, 'val': 1}
  • id: 4968489
    {'lmfdb_iso': '95550.ie', 'p': 79, 'prec': 20, 'unit': 678387450846508621217862028252296335, 'val': 1}
  • id: 4968482
    {'lmfdb_iso': '95550.ie', 'p': 83, 'prec': 20, 'unit': 919650652208165857020739365327478239, 'val': 1}
  • id: 4968496
    {'lmfdb_iso': '95550.ie', 'p': 89, 'prec': 20, 'unit': 3553134315715516402684126175484515203, 'val': 1}
  • id: 4968481
    {'lmfdb_iso': '95550.ie', 'p': 97, 'prec': 20, 'unit': 30155532644771830419928030693438522513, 'val': 1}