Elliptic curve data - 333270.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '333270ea', 'Clabel': '333270ea2', 'Cnumber': 2, 'abc_quality': 0.9769140513459389, 'absD': 51163072896350548591617600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [1, -1, 1, -271584203, -1687888525413], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 333270, 'degree': 155713536, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7192244928407663413010011593', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 104, 'isogeny_degrees': [1, 2], 'jinv': [20527812941011798969, 474091398849600], 'lmfdb_iso': '333270.ea', 'lmfdb_label': '333270.ea2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -57043, -5162003], 'min_quad_twist_disc': 69, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '92.12.0.?', '280.12.0.?', '420.12.0.?', '552.24.0.?', '840.24.0.?', '6440.24.0.?', '9660.24.0.?', '19320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.7929837618670608993722352535', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6021712405421366502000021249', 'prec': 100}, 'szpiro_ratio': 5.494578472388171, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 1, 0, -1, 4, 0, 6, 1, 0, 1, 2, 0, 0, -1], 'aplist': [1, 0, -1, 1, 4, 6, 2, 0, 0, -2, 0, -10, -6, -8, 12, -6, -12, -10, 16, -4, -6, 16, -4, -2, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 333270, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '333270.ea', 'trace_hash': 1004802432393628052}
• 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': '0.00058819679206173426388187523815', 'prec': 113}, 'conductor': 333270, 'gens': [[24893, 2628828, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.7929837618670608993722352535', 'prec': 100}], 'lmfdb_label': '333270.ea2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037242105734014916706543066292', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.533489791791689148361615586729994496', 'prec': 130}, 'tamagawa_product': 1152, 'torsion_generators': [[-10597, 5298, 1], [-8389, 4194, 1]], 'xcoord_integral_points': [-10597, -8389, 24893]}
• lmfdb_label 333270.ea2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13971177
    {'degree': 4, 'field': [-14, 98, -97, -2, 1], 'lmfdb_label': '333270.ea2', 'torsion': [2, 4]}
  • id: 13971176
    {'degree': 4, 'field': [6, -24, 25, -2, 1], 'lmfdb_label': '333270.ea2', 'torsion': [2, 4]}
  • id: 13971178
    {'degree': 4, 'field': [2704, 0, 34, 0, 1], 'lmfdb_label': '333270.ea2', 'torsion': [2, 4]}
  • id: 13971179
    {'degree': 8, 'field': [-3392, -1564, 1354, -631, 412, -85, -11, -4, 1], 'lmfdb_label': '333270.ea2', 'torsion': [2, 6]}
  • id: 13971181
    {'degree': 16, 'field': [377952, -1418304, 7459056, -11995152, 5909914, -273920, 785048, -723408, 353287, -133312, 45952, -11728, 2986, -504, 92, -8, 1], 'lmfdb_label': '333270.ea2', 'torsion': [2, 8]}
  • id: 13971180
    {'degree': 16, 'field': [149593504, 60795008, -38499440, -42273136, 15226586, 7406492, -2969238, 376676, -18175, -67676, 31254, -10580, 2552, -392, 76, -8, 1], 'lmfdb_label': '333270.ea2', 'torsion': [4, 4]}
  • id: 13971182
    {'degree': 16, 'field': [4509659716, 0, -4316337204, 0, 963665857, 0, -36495732, 0, -4086600, 0, -7938, 0, 1372, 0, 24, 0, 1], 'lmfdb_label': '333270.ea2', 'torsion': [2, 8]}
  • id: 13971183
    {'degree': 16, 'field': [111877075222416, 0, 3550970695104, 0, 137710782720, 0, 2515042656, 0, 70841304, 0, 903696, 0, 17440, 0, 104, 0, 1], 'lmfdb_label': '333270.ea2', '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: 8250114
    {'conductor': 333270, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '333270.ea2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8250115
    {'conductor': 333270, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '333270.ea2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8250116
    {'conductor': 333270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '333270.ea2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8250117
    {'conductor': 333270, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '333270.ea2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8250118
    {'conductor': 333270, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '333270.ea2', 'prime': 23, '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: 3749265
    {'adelic_gens': [[1, 0, 4, 1], [9661, 15962, 0, 1], [12599, 0, 0, 19319], [1, 4, 0, 1], [15457, 12604, 8234, 5889], [19317, 4, 19316, 5], [3357, 3358, 3082, 15961], [2761, 12604, 2162, 5889], [4831, 12604, 0, 1]], 'adelic_image': '19320.48.0.?', 'conductor': 333270, 'lmfdb_label': '333270.ea2', 'prime': 0}
  • id: 1160076
    {'conductor': 333270, 'elladic_image': '2.6.0.1', 'lmfdb_label': '333270.ea2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 333270.ea does not appear in ec_padic