Elliptic curve data - 1248.c2

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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': '1248g', 'Clabel': '1248g1', 'Cnumber': 1, 'abc_quality': 0.9262538726250846, 'absD': 7488, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -18, 36], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1248, 'degree': 64, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.44188790317881983808140021907', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [10648000, 117], 'lmfdb_iso': '1248.c', 'lmfdb_label': '1248.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -18, 36], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53296232697817168154989585916', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78846149345879249279001627980', 'prec': 107}, 'szpiro_ratio': 2.8529831421429783, '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, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, -1, 0, -2, 0, 1, 2, 2, -8, 6, -2, -6, 0, -4, -8, -6, -4, 2, -2, -4, -2, -12, 12, 12, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 1248, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1248.c', 'trace_hash': 23284500420244383}
• 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': '2.4200200042601674291252855268', 'prec': 100}, 'conductor': 1248, 'gens': [[0, 6, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.53296232697817168154989585916', 'prec': 103}], 'lmfdb_label': '1248.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '4.1927736527157957853485723491', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2345904024441791929354808885543242811', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[3, 0, 1]], 'xcoord_integral_points': [0, 2, 3, 15]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [7, 1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1248.c2'}
• ec_torsion_growth •

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

  
  
  • id: 62043
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '1248.c2', 'torsion': [2, 2]}
  • id: 62044
    {'degree': 4, 'field': [1, 2, -4, -2, 1], 'lmfdb_label': '1248.c2', 'torsion': [4]}
  • id: 62046
    {'degree': 8, 'field': [1, 6, -14, -26, 35, 26, -12, -4, 1], 'lmfdb_label': '1248.c2', 'torsion': [2, 4]}
  • id: 62047
    {'degree': 8, 'field': [521, -140, -346, -124, -116, -40, -2, -4, 1], 'lmfdb_label': '1248.c2', 'torsion': [6]}
  • id: 62045
    {'degree': 8, 'field': [1521, 0, -676, 0, 299, 0, -26, 0, 1], 'lmfdb_label': '1248.c2', 'torsion': [2, 4]}
  • id: 62049
    {'degree': 16, 'field': [729, 0, 184896, 0, -48780, 0, 3456, 0, -9714, 0, 3136, 0, -348, 0, 0, 0, 1], 'lmfdb_label': '1248.c2', 'torsion': [2, 6]}
  • id: 62048
    {'degree': 16, 'field': [277777, 2372000, 4132312, 870128, -3014652, -2145424, 178096, 577296, 97558, -63936, -19336, 3456, 1580, -80, -64, 0, 1], 'lmfdb_label': '1248.c2', '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: 18521
    {'conductor': 1248, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1248.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 18522
    {'conductor': 1248, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1248.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 18523
    {'conductor': 1248, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1248.c2', '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: 1672417
    {'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 1248, 'lmfdb_label': '1248.c2', 'prime': 0}
  • id: 5976
    {'conductor': 1248, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1248.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 31190
    {'lmfdb_iso': '1248.c', 'p': 7, 'prec': 20, 'unit': 1641911927146264, 'val': 1}
  • id: 31195
    {'lmfdb_iso': '1248.c', 'p': 17, 'prec': 20, 'unit': 84189252104058268102385, 'val': 1}
  • id: 31186
    {'lmfdb_iso': '1248.c', 'p': 19, 'prec': 20, 'unit': 211475414124737702711806, 'val': 1}
  • id: 31199
    {'lmfdb_iso': '1248.c', 'p': 23, 'prec': 20, 'unit': 29607915718030127244343933, 'val': 1}
  • id: 31193
    {'lmfdb_iso': '1248.c', 'p': 29, 'prec': 20, 'unit': 4570095628283330909850477806, 'val': 1}
  • id: 31204
    {'lmfdb_iso': '1248.c', 'p': 31, 'prec': 20, 'unit': 16466134353762525352541021282, 'val': 1}
  • id: 31189
    {'lmfdb_iso': '1248.c', 'p': 37, 'prec': 20, 'unit': 145178080641568630182252890693, 'val': 1}
  • id: 31192
    {'lmfdb_iso': '1248.c', 'p': 43, 'prec': 20, 'unit': 54611598831858301870988230803, 'val': 2}
  • id: 31202
    {'lmfdb_iso': '1248.c', 'p': 47, 'prec': 20, 'unit': 9851086720523612797015131036440, 'val': 1}
  • id: 31197
    {'lmfdb_iso': '1248.c', 'p': 53, 'prec': 20, 'unit': 145602951371490055975437302841658, 'val': 1}
  • id: 31198
    {'lmfdb_iso': '1248.c', 'p': 59, 'prec': 20, 'unit': 712027625559024574379216220256993, 'val': 1}
  • id: 31203
    {'lmfdb_iso': '1248.c', 'p': 61, 'prec': 20, 'unit': 419017077803441443014142330396448, 'val': 1}
  • id: 31188
    {'lmfdb_iso': '1248.c', 'p': 67, 'prec': 20, 'unit': 2425486373656485981924938973588596, 'val': 1}
  • id: 31201
    {'lmfdb_iso': '1248.c', 'p': 71, 'prec': 20, 'unit': 66260938315906028006685045819025441, 'val': 1}
  • id: 31191
    {'lmfdb_iso': '1248.c', 'p': 73, 'prec': 20, 'unit': 79250314008332203198835185913796701, 'val': 1}
  • id: 31194
    {'lmfdb_iso': '1248.c', 'p': 79, 'prec': 20, 'unit': 870360393438267578010524426334918708, 'val': 1}
  • id: 31196
    {'lmfdb_iso': '1248.c', 'p': 83, 'prec': 20, 'unit': 1328815436271078185408154275435818131, 'val': 1}
  • id: 31200
    {'lmfdb_iso': '1248.c', 'p': 89, 'prec': 20, 'unit': 6616927803768290444431932048863986065, 'val': 1}
  • id: 31187
    {'lmfdb_iso': '1248.c', 'p': 97, 'prec': 20, 'unit': 24526117679344290477284580157242335381, 'val': 1}