Elliptic curve data - 273600.pq3

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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': '273600pq', 'Clabel': '273600pq2', 'Cnumber': 2, 'abc_quality': 0.9387086030721215, 'absD': 970146201600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, -2736300, 1741538000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 273600, 'degree': 7077888, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4116875889180571235159010559', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 406, 'isogeny_degrees': [1, 2], 'jinv': [758800078561, 324900], 'lmfdb_iso': '273600.pq', 'lmfdb_label': '273600.pq3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -190, 992], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0.b.1', '76.12.0.?', '120.24.0.?', '380.24.0.?', '456.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.8574247889252054072773898299', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 225], [3, 8, 30400], [5, 18, 10944], [19, 20, 14400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.017941717527034126392050588638', 'prec': 107}, 'szpiro_ratio': 4.479436235434988, '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, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, -1, 0], 'aplist': [0, 0, 0, 4, 4, -2, -2, -1, 8, 6, -4, -10, 2, -12, 0, -6, 0, 10, 4, -8, -2, 12, -8, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 273600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '273600.pq', 'trace_hash': 599016357107672078}
• 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': '0.0080396061940041785488701793187', 'prec': 110}, 'conductor': 273600, 'gens': [[1264, 17388, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.8574247889252054072773898299', 'prec': 100}], 'lmfdb_label': '273600.pq3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27395231837222270478861509700', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.645622257958116345526261955349999905', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[940, 0, 1], [970, 0, 1]], 'xcoord_integral_points': [-1910, 940, 970, 1264, 80624679370]}
• lmfdb_label 273600.pq3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11676166
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '273600.pq3', 'torsion': [2, 4]}
  • id: 11676165
    {'degree': 4, 'field': [1296, 0, -42, 0, 1], 'lmfdb_label': '273600.pq3', 'torsion': [2, 4]}
  • id: 11676167
    {'degree': 4, 'field': [11881, 0, 238, 0, 1], 'lmfdb_label': '273600.pq3', 'torsion': [2, 4]}
  • id: 11676168
    {'degree': 8, 'field': [-67500, 0, -72750, 0, -900, 0, 0, 0, 1], 'lmfdb_label': '273600.pq3', 'torsion': [2, 6]}
  • id: 11676171
    {'degree': 16, 'field': [22201, 0, -74052, 0, 94486, 0, -55752, 0, 13719, 0, -432, 0, -134, 0, -12, 0, 1], 'lmfdb_label': '273600.pq3', 'torsion': [2, 8]}
  • id: 11676169
    {'degree': 16, 'field': [1368900, 0, -2880360, 0, 1572336, 0, 27972, 0, -2171, 0, -4144, 0, 474, 0, -28, 0, 1], 'lmfdb_label': '273600.pq3', 'torsion': [4, 4]}
  • id: 11676170
    {'degree': 16, 'field': [2268036, 0, -1551300, 0, 1163521, 0, 32440, 0, 20816, 0, -470, 0, -4, 0, -20, 0, 1], 'lmfdb_label': '273600.pq3', 'torsion': [2, 8]}
  • id: 11676172
    {'degree': 16, 'field': [629789685030, -183743932680, 205917692580, -45788755320, 26553582366, -4549583400, 1785020592, -238737336, 70602919, -7541744, 1774144, -148952, 28162, -1568, 244, -8, 1], 'lmfdb_label': '273600.pq3', '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: 6778171
    {'conductor': 273600, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '273600.pq3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6778172
    {'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '273600.pq3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6778173
    {'conductor': 273600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '273600.pq3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6778174
    {'conductor': 273600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '273600.pq3', 'prime': 19, '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: 3392672
    {'adelic_gens': [[1139, 2276, 2278, 2271], [909, 2278, 914, 1], [1, 4, 0, 1], [1707, 2276, 2272, 2269], [1203, 2, 718, 2279], [2277, 4, 2276, 5], [1, 0, 4, 1], [1519, 2276, 758, 2271]], 'adelic_image': '2280.48.0.?', 'conductor': 273600, 'lmfdb_label': '273600.pq3', 'prime': 0}
  • id: 976409
    {'conductor': 273600, 'elladic_image': '2.6.0.1', 'lmfdb_label': '273600.pq3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 273600.pq does not appear in ec_padic