Elliptic curve data - 101150.o1

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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': '101150c', 'Clabel': '101150c4', 'Cnumber': 4, 'abc_quality': 1.0195919976571242, 'absD': 45276799350781250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [1, -1, 0, -1934042, -1034720134], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 101150, 'degree': 1966080, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2603132998597944738228529598', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [2121328796049, 120050], 'lmfdb_iso': '101150.o', 'lmfdb_label': '101150.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -268, -1619], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '56.24.0.v.1', '340.12.0.?', '680.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6387463475790204503515522450', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [5, 18, 4046], [7, 8, 14450], [17, 146, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.038987671614636246397705984250', 'prec': 107}, 'szpiro_ratio': 4.775881011139502, '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, 0, 1, 0, 0, -1, -1, -3, 0, -4, 0, 6, 1, 0, 1, 0, 3, 0, 0], 'aplist': [-1, 0, 0, -1, -4, 6, 0, 0, 0, -6, -8, -10, -2, -4, -8, 2, -8, 14, 12, 16, 2, 8, -8, 10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 101150, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '101150.o', 'trace_hash': 1705058516964774011}
• 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': '0.010882202746594199649070565040', 'prec': 107}, 'conductor': 101150, 'gens': [[-28865, 38869, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '6.6387463475790204503515522450', 'prec': 100}], 'lmfdb_label': '101150.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12802198113205174673619006919', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3996218386009552137193180847885607276', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-3229, 3229, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 1], '3': [7, 1, 0], '5': 'a', '7': [5, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '101150.o1'}
• ec_torsion_growth •

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

  
  
  • id: 4694036
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [2, 2]}
  • id: 4694037
    {'degree': 2, 'field': [85, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [4]}
  • id: 4694038
    {'degree': 2, 'field': [170, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [4]}
  • id: 4694039
    {'degree': 4, 'field': [1849, 0, 84, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [2, 4]}
  • id: 4694043
    {'degree': 8, 'field': [-163736, -34985, 40702, 11659, -725, -239, -5, -2, 1], 'lmfdb_label': '101150.o1', 'torsion': [6]}
  • id: 4694040
    {'degree': 8, 'field': [324, 0, 0, 0, -206, 0, 0, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [2, 4]}
  • id: 4694041
    {'degree': 8, 'field': [16676, -5212, -2946, -180, 650, -50, -11, -2, 1], 'lmfdb_label': '101150.o1', 'torsion': [8]}
  • id: 4694042
    {'degree': 8, 'field': [5938220, 339920, 388584, 5600, 9760, -56, 140, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [8]}
  • id: 4694044
    {'degree': 16, 'field': [6561, 0, -32076, 0, 78408, 0, -65736, 0, 30463, 0, -7304, 0, 968, 0, -44, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [4, 4]}
  • id: 4694046
    {'degree': 16, 'field': [1119839296, 683736448, 40789088, -51171808, -11737080, 5162112, 1918992, -387760, -64662, 48052, 4414, -3460, 3, 196, -22, -4, 1], 'lmfdb_label': '101150.o1', 'torsion': [2, 8]}
  • id: 4694047
    {'degree': 16, 'field': [6949096894, -1309084736, -14435994667, -8424654708, 515810612, 1193668622, 95753587, -45640344, -4300331, 305814, 84919, 29944, -313, -402, -22, -4, 1], 'lmfdb_label': '101150.o1', 'torsion': [2, 6]}
  • id: 4694048
    {'degree': 16, 'field': [42982411684, 0, 15917649941, 0, 2520352210, 0, 235345643, 0, 14047795, 0, 536543, 0, 12667, 0, 170, 0, 1], 'lmfdb_label': '101150.o1', 'torsion': [12]}
  • id: 4694049
    {'degree': 16, 'field': [173562181480, 172805269520, 39782046825, -6625553540, 430082150, 606122190, -69015629, -41683984, -269817, 1168022, 60283, 3360, 2267, -434, -6, -4, 1], 'lmfdb_label': '101150.o1', 'torsion': [12]}
  • id: 4694045
    {'degree': 16, 'field': [175347488089, 31787705712, 45068881392, 5319837824, 4922916816, 350152880, 316595432, 11619552, 13761601, 174944, 422228, -952, 9094, -56, 132, 0, 1], 'lmfdb_label': '101150.o1', '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: 2483794
    {'conductor': 101150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '101150.o1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2483795
    {'conductor': 101150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '101150.o1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2483796
    {'conductor': 101150, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '101150.o1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2483797
    {'conductor': 101150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '101150.o1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2328867
    {'adelic_gens': [[1, 0, 8, 1], [1903, 0, 0, 4759], [7, 6, 4754, 4755], [1, 8, 0, 1], [1, 4, 4, 17], [4753, 8, 4752, 9], [1119, 0, 0, 4759], [1361, 680, 1020, 2721], [4336, 2465, 4675, 3486], [3571, 3060, 2210, 1021]], 'adelic_image': '4760.48.0.?', 'conductor': 101150, 'lmfdb_label': '101150.o1', 'prime': 0}
  • id: 406246
    {'conductor': 101150, 'elladic_image': '8.12.0.15', 'lmfdb_label': '101150.o1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5264260
    {'lmfdb_iso': '101150.o', 'p': 11, 'prec': 20, 'unit': 40842298925342092434, 'val': 1}
  • id: 5264266
    {'lmfdb_iso': '101150.o', 'p': 13, 'prec': 20, 'unit': 393774543461851285215, 'val': 1}
  • id: 5264265
    {'lmfdb_iso': '101150.o', 'p': 29, 'prec': 20, 'unit': 3595270496132537625341502922, 'val': 1}
  • id: 5264275
    {'lmfdb_iso': '101150.o', 'p': 31, 'prec': 20, 'unit': 3753708495104629313192951379, 'val': 1}
  • id: 5264261
    {'lmfdb_iso': '101150.o', 'p': 37, 'prec': 20, 'unit': 472757427345306376570947673241, 'val': 1}
  • id: 5264263
    {'lmfdb_iso': '101150.o', 'p': 41, 'prec': 20, 'unit': 2843415987295306810337740822431, 'val': 1}
  • id: 5264264
    {'lmfdb_iso': '101150.o', 'p': 43, 'prec': 20, 'unit': 4708707988150054442784736634488, 'val': 1}
  • id: 5264273
    {'lmfdb_iso': '101150.o', 'p': 47, 'prec': 20, 'unit': 40401419861260927744304192216938, 'val': 1}
  • id: 5264270
    {'lmfdb_iso': '101150.o', 'p': 53, 'prec': 20, 'unit': 331141255898950327131476680351257, 'val': 1}
  • id: 5264268
    {'lmfdb_iso': '101150.o', 'p': 59, 'prec': 20, 'unit': 2043383884313347532399686003366966, 'val': 1}
  • id: 5264274
    {'lmfdb_iso': '101150.o', 'p': 61, 'prec': 20, 'unit': 3281976993594498783573261199465784, 'val': 1}
  • id: 5264269
    {'lmfdb_iso': '101150.o', 'p': 67, 'prec': 20, 'unit': 30285482723496548404487506655719704, 'val': 1}
  • id: 5264262
    {'lmfdb_iso': '101150.o', 'p': 71, 'prec': 20, 'unit': 1327200743721842857189388653557299, 'val': 2}
  • id: 5264271
    {'lmfdb_iso': '101150.o', 'p': 73, 'prec': 20, 'unit': 34912191617708618205553057984264145, 'val': 1}
  • id: 5264267
    {'lmfdb_iso': '101150.o', 'p': 79, 'prec': 20, 'unit': 57147221708002003137234968435946548, 'val': 1}
  • id: 5264259
    {'lmfdb_iso': '101150.o', 'p': 83, 'prec': 20, 'unit': 277453334191700687485617652427410957, 'val': 1}
  • id: 5264272
    {'lmfdb_iso': '101150.o', 'p': 89, 'prec': 20, 'unit': 9175165940579038998133380296453909229, 'val': 1}
  • id: 5264258
    {'lmfdb_iso': '101150.o', 'p': 97, 'prec': 20, 'unit': 12912777795029880979745245922980555736, 'val': 1}