Elliptic curve data - 288990.ea2

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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': '288990ea', 'Clabel': '288990ea2', 'Cnumber': 2, 'abc_quality': 1.0425519890633115, 'absD': 3119239669351104000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 14820, 'ainvs': [1, -1, 1, -631201343, -6103637247769], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 288990, 'degree': 99532800, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5488340998163888538661577859', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7903870428425797297009, 886464000000], 'lmfdb_iso': '288990.ea', 'lmfdb_label': '288990.ea2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -414991, 102863225], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.2', '60.24.0.t.1', '76.6.0.?', '78.24.0.?', '228.24.0.?', '780.48.0.?', '1140.48.1.?', '2964.48.0.?', '14820.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4639467988615244693455821660', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 28899], [3, 2, 3211], [5, 6, 57798], [13, 86, 1710], [19, 20, 15210]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7170532767515656401417914467', 'prec': 100}, 'szpiro_ratio': 5.758085005562542, '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, -1, 0, -2, 1, 0, -1, 6, 0, 0, -2, 0, 1, 6, 0, -1, -1], 'aplist': [1, 0, -1, -2, 6, 0, 6, -1, 0, 0, -8, -8, -12, 2, 0, 6, -12, 2, 16, 0, 10, 8, 0, -12, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 288990, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '288990.ea', 'trace_hash': 2061854208775868043}
• 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': '0.00082703114814212215284141863198', 'prec': 113}, 'conductor': 288990, 'gens': [[125001, 43159666, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '8.4639467988615244693455821660', 'prec': 100}], 'lmfdb_label': '288990.ea2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.030120181122620562805597692908', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.236909308508814287311439570586822445', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-58005, 58001, 2]], 'xcoord_integral_points': [125001]}
• lmfdb_label 288990.ea2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12275955
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 2]}
  • id: 12275956
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '288990.ea2', 'torsion': [6]}
  • id: 12275958
    {'degree': 4, 'field': [822, 18, -17, -2, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 6]}
  • id: 12275957
    {'degree': 4, 'field': [859, -53, -40, -1, 1], 'lmfdb_label': '288990.ea2', 'torsion': [4]}
  • id: 12275959
    {'degree': 6, 'field': [153, 75, 54, 43, -22, -1, 1], 'lmfdb_label': '288990.ea2', 'torsion': [6]}
  • id: 12275962
    {'degree': 8, 'field': [9216, -4608, 672, -312, 118, 48, -13, -3, 1], 'lmfdb_label': '288990.ea2', 'torsion': [12]}
  • id: 12275961
    {'degree': 8, 'field': [130321, 0, -25023, 0, 7628, 0, 177, 0, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 4]}
  • id: 12275960
    {'degree': 8, 'field': [207936, 0, -1057008, 0, 5605, 0, -152, 0, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 4]}
  • id: 12275964
    {'degree': 12, 'field': [-1836, 8412, -9078, 1910, -2265, 1212, 143, -366, -30, 70, -3, -6, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 6]}
  • id: 12275963
    {'degree': 12, 'field': [900, 2610, 3813, 3741, 562, -1329, 863, -450, 111, -33, 14, -3, 1], 'lmfdb_label': '288990.ea2', 'torsion': [3, 6]}
  • id: 12275967
    {'degree': 16, 'field': [94533364, -48832820, 96387650, -38104502, 20395017, -6477746, 880608, -27800, -132221, 44480, -9510, 50, 1119, -58, -28, -4, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 12]}
  • id: 12275966
    {'degree': 16, 'field': [5241545748, 5763137760, 2701006608, 898014024, 274562296, 92762864, 27434872, 5639124, 1143781, 176092, 59464, 2812, 946, -228, 32, 0, 1], 'lmfdb_label': '288990.ea2', 'torsion': [2, 12]}
  • id: 12275965
    {'degree': 16, 'field': [66657698896, -1801909984, -7306473960, 399222520, -291004611, -106474584, -5776853, 1241230, 3742761, 887816, 162892, 9612, -831, 32, -39, -2, 1], 'lmfdb_label': '288990.ea2', 'torsion': [8]}
  • id: 12275968
    {'degree': 18, 'field': [1567999533, 1658271348, 685545399, -24455382, -68797458, -13790574, 3016858, 1477794, -544128, -136358, -1368, 33534, 4002, -2970, 198, 118, 3, -6, 1], 'lmfdb_label': '288990.ea2', 'torsion': [18]}
• 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: 7160036
    {'conductor': 288990, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '288990.ea2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 7160037
    {'conductor': 288990, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '288990.ea2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7160038
    {'conductor': 288990, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '288990.ea2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7160039
    {'conductor': 288990, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '288990.ea2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7160040
    {'conductor': 288990, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '288990.ea2', 'prime': 19, '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: 3485216
    {'adelic_gens': [[7591, 6838, 8736, 14819], [11399, 0, 0, 14819], [11, 2, 14770, 14811], [1, 0, 12, 1], [6670, 4563, 11973, 1132], [1, 6, 6, 37], [14809, 12, 14808, 13], [8646, 2197, 8645, 13586], [1, 12, 0, 1], [11857, 3432, 6162, 5773]], 'adelic_image': '14820.96.1.?', 'conductor': 288990, 'lmfdb_label': '288990.ea2', 'prime': 0}
  • id: 1024591
    {'conductor': 288990, 'elladic_image': '2.3.0.1', 'lmfdb_label': '288990.ea2', 'modell_image': '2B', 'prime': 2}
  • id: 1024592
    {'conductor': 288990, 'elladic_image': '3.4.0.1', 'lmfdb_label': '288990.ea2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 288990.ea does not appear in ec_padic