Elliptic curve data - 151008.i2

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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': '151008q', 'Clabel': '151008q2', 'Cnumber': 2, 'abc_quality': 0.8900787468395513, 'absD': 11036853374976, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, -1, 0, 3711, 132849], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 151008, 'degree': 276480, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1872229171528608650660709457', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [778688, 1521], 'lmfdb_iso': '151008.i', 'lmfdb_label': '151008.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 31, -111], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '52.12.0.d.1', '104.24.0.?', '264.12.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70487189980626971638213296474', 'prec': 107}, 'szpiro_ratio': 3.114074920588289, '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, -2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, -6, 0], 'aplist': [0, -1, -2, 2, 0, 1, 2, -6, 0, 6, -6, 2, 10, 8, -6, 6, 6, 10, -2, 14, 14, 4, 6, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 151008, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '151008.i', 'trace_hash': 339109120757876790}
• 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': '0.093066048934650475079376246227', 'prec': 107}, 'conductor': 151008, 'gens': [], 'heights': [], 'lmfdb_label': '151008.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.49596728454050020941078207222', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9838691381620008376431282888873424240', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-29, 0, 1]], 'xcoord_integral_points': [-29]}
• lmfdb_label 151008.i2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6788409
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '151008.i2', 'torsion': [2, 2]}
  • id: 6788410
    {'degree': 4, 'field': [-121, 0, -33, 0, 1], 'lmfdb_label': '151008.i2', 'torsion': [4]}
  • id: 6788413
    {'degree': 8, 'field': [-1772771, -193336, -94016, -31188, -3090, -696, -32, -4, 1], 'lmfdb_label': '151008.i2', 'torsion': [6]}
  • id: 6788412
    {'degree': 8, 'field': [1521, 2028, 1352, 910, 439, 90, 2, -2, 1], 'lmfdb_label': '151008.i2', 'torsion': [2, 4]}
  • id: 6788411
    {'degree': 8, 'field': [3250, 14000, 19440, 7244, 1040, -152, -38, 0, 1], 'lmfdb_label': '151008.i2', 'torsion': [2, 4]}
  • id: 6788414
    {'degree': 16, 'field': [173889, -5004, 72, 532020, 1263268, 1353604, 774392, 119540, 120918, 69116, 6328, 1756, 2820, 268, 8, -4, 1], 'lmfdb_label': '151008.i2', 'torsion': [4, 4]}
  • id: 6788415
    {'degree': 16, 'field': [325585936, 0, 137763392, 0, -30325776, 0, -4041440, 0, -282788, 0, -165104, 0, 7572, 0, -160, 0, 1], 'lmfdb_label': '151008.i2', 'torsion': [8]}
  • id: 6788416
    {'degree': 16, 'field': [40733462506, 53127862524, 26614109720, 6401708280, 1834202008, 1346793624, 599942438, 126761184, 13795987, 1740420, 301286, 19008, -2408, -1188, -52, 0, 1], 'lmfdb_label': '151008.i2', 'torsion': [2, 6]}
• 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: 3735369
    {'conductor': 151008, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '151008.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3735370
    {'conductor': 151008, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '151008.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3735371
    {'conductor': 151008, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '151008.i2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3735372
    {'conductor': 151008, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '151008.i2', '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: 2643479
    {'adelic_gens': [[2573, 308, 1287, 3431], [1145, 2816, 418, 2201], [2641, 1562, 0, 1], [3425, 8, 3424, 9], [3, 8, 10, 27], [1, 0, 8, 1], [1, 8, 0, 1], [5, 8, 48, 77], [1717, 3124, 1562, 2817], [2495, 0, 0, 3431]], 'adelic_image': '3432.48.0.?', 'conductor': 151008, 'lmfdb_label': '151008.i2', 'prime': 0}
  • id: 579265
    {'conductor': 151008, 'elladic_image': '4.6.0.5', 'lmfdb_label': '151008.i2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 151008.i does not appear in ec_padic