Elliptic curve data - 298116.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': '298116o', 'Clabel': '298116o2', 'Cnumber': 2, 'abc_quality': 0.837748431273525, 'absD': 89313091850122417315584, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -11850111, 6307389270], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 298116, 'degree': 18579456, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0973843674401984685540368434', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [64314864, 31213], 'lmfdb_iso': '298116.o', 'lmfdb_label': '298116.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1431, -8370], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '52.6.0.e.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.357882030120483263577452185', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 24843], [3, 2, 33124], [7, 32, 6084], [13, 98, 1764]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.44410272269260569351663859110', 'prec': 107}, 'szpiro_ratio': 4.797779037828187, '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, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, -4, 0], 'aplist': [0, 0, -2, 0, -2, 0, -4, -4, -4, 4, 0, 2, 2, -8, 6, 0, -6, -2, -4, -10, -6, -16, 14, -18, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 298116, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '298116.o', 'trace_hash': 1018608357298903182}
• 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': '0.0020400749433176144219282950746', 'prec': 110}, 'conductor': 298116, 'gens': [[24054, 8460990, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '10.357882030120483263577452185', 'prec': 100}], 'lmfdb_label': '298116.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.095513741317271554809319689218', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9572802592789734938400395970975054228', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[546, 0, 1]], 'xcoord_integral_points': [546]}
• lmfdb_label 298116.o1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12630221
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '298116.o1', 'torsion': [2, 2]}
  • id: 12630222
    {'degree': 4, 'field': [1911, 0, 84, 0, 1], 'lmfdb_label': '298116.o1', 'torsion': [4]}
  • id: 12630223
    {'degree': 8, 'field': [-111110, -174248, -107248, -33236, -4412, 8, 2, -4, 1], 'lmfdb_label': '298116.o1', 'torsion': [2, 4]}
  • id: 12630225
    {'degree': 8, 'field': [-712, -620, 518, 203, -98, -7, 7, -4, 1], 'lmfdb_label': '298116.o1', 'torsion': [6]}
  • id: 12630224
    {'degree': 8, 'field': [28861, -52822, 41594, -16702, 2962, -2, -46, -2, 1], 'lmfdb_label': '298116.o1', 'torsion': [2, 4]}
  • id: 12630227
    {'degree': 16, 'field': [144, 768, -33920, 270592, -983192, 1909796, -1970059, 840446, 156836, -227116, 27755, 9814, -1757, 28, 16, -8, 1], 'lmfdb_label': '298116.o1', 'torsion': [2, 6]}
  • id: 12630226
    {'degree': 16, 'field': [2619494761, 0, -1523381548, 0, 235553942, 0, 4284488, 0, -256829, 0, 68176, 0, 5186, 0, 124, 0, 1], 'lmfdb_label': '298116.o1', 'torsion': [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: 7387631
    {'conductor': 298116, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '298116.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7387632
    {'conductor': 298116, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '298116.o1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7387633
    {'conductor': 298116, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '298116.o1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7387634
    {'conductor': 298116, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '298116.o1', 'prime': 13, 'reduction_type': 0, '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: 3540495
    {'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [40, 121, 117, 40], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 298116, 'lmfdb_label': '298116.o1', 'prime': 0}
  • id: 1052857
    {'conductor': 298116, 'elladic_image': '2.3.0.1', 'lmfdb_label': '298116.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 298116.o does not appear in ec_padic