Elliptic curve data - 176400.lp3

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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': '176400fn', 'Clabel': '176400fn8', 'Cnumber': 8, 'abc_quality': 1.0450039140149439, 'absD': 1969278864240928829460480000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -3590184675, 106836948769250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 176400, 'degree': 254803968, 'elladic_images': ['8.12.0.14', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5223923619491556756446669832', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 301, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-932348627918877961, 358766164249920], 'lmfdb_iso': '176400.lp', 'lmfdb_label': '176400.lp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -20353, -1443724], 'min_quad_twist_disc': -420, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.1', '12.48.0.c.2', '20.12.0.h.1', '24.96.0-12.c.2.1', '40.24.0-20.h.1.4', '42.24.0-6.a.1.2', '60.96.1.m.2', '84.96.0.?', '120.192.1.?', '168.192.1.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5022650063104486806767562049', 'prec': 100}, 'szpiro_ratio': 6.467260004905502, '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, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, 0, 0, 0, 0, 2, 6, 8, 0, -6, -4, 10, -6, -4, 0, -6, 12, 10, -4, 12, -10, -8, 12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 176400, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '176400.lp', 'trace_hash': 1389150994678772251}
• 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': '0.00011800486283303217775008281401', 'prec': 113}, 'conductor': 176400, 'gens': [], 'heights': [], 'lmfdb_label': '176400.lp3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.024663441129112732540979756079', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1569204645264297652454087780500552841', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-71330, 0, 1]], 'xcoord_integral_points': [-71330]}
• lmfdb_label 176400.lp3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7812969
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [6]}
  • id: 7812967
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '176400.lp3', 'torsion': [4]}
  • id: 7812966
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 2]}
  • id: 7812968
    {'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [4]}
  • id: 7812971
    {'degree': 4, 'field': [14, -14, 15, -2, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 6]}
  • id: 7812972
    {'degree': 4, 'field': [25, 0, -25, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [12]}
  • id: 7812970
    {'degree': 4, 'field': [105, 0, 1, -2, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 4]}
  • id: 7812973
    {'degree': 4, 'field': [1225, 0, 35, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [12]}
  • id: 7812974
    {'degree': 6, 'field': [5145, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [12]}
  • id: 7812978
    {'degree': 8, 'field': [196, -196, -14, -154, 183, -2, -11, -2, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 12]}
  • id: 7812975
    {'degree': 8, 'field': [966, -588, 772, -390, 251, -70, 28, -4, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 4]}
  • id: 7812977
    {'degree': 8, 'field': [2025, 0, -180, 0, 19, 0, 4, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 8]}
  • id: 7812976
    {'degree': 8, 'field': [10000, 0, 0, 0, -220, 0, 0, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [8]}
  • id: 7812980
    {'degree': 12, 'field': [225, 0, 0, 0, 0, 0, 1650, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 12]}
  • id: 7812979
    {'degree': 12, 'field': [26481316, -30876, -77154, 205750, -77085, -30996, 10431, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '176400.lp3', 'torsion': [3, 12]}
  • id: 7812984
    {'degree': 16, 'field': [625, 0, -160000, 0, -481375, 0, -393000, 0, -55000, 0, 13200, 0, -55, 0, -40, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [24]}
  • id: 7812983
    {'degree': 16, 'field': [900, 0, 4800, 0, 7540, 0, -220, 0, -339, 0, 172, 0, 54, 0, 8, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 12]}
  • id: 7812985
    {'degree': 16, 'field': [11881, 0, 16276, 0, 14093, 0, 9564, 0, 5168, 0, 1668, 0, 317, 0, 28, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 24]}
  • id: 7812982
    {'degree': 16, 'field': [463761, 0, -435612, 0, 172558, 0, -25924, 0, 2475, 0, -164, 0, 138, 0, 8, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [2, 8]}
  • id: 7812981
    {'degree': 16, 'field': [933156, 0, -1145760, 0, 622276, 0, -207220, 0, 48861, 0, -7580, 0, 726, 0, -40, 0, 1], 'lmfdb_label': '176400.lp3', 'torsion': [4, 4]}
  • id: 7812986
    {'degree': 18, 'field': [18066460000, -64815120000, 52984980000, -4845213000, -6680151000, 541638000, 691295925, -91611000, 3173850, -12043080, 1989315, -181800, -219384, -6264, -3321, -72, 54, 0, 1], 'lmfdb_label': '176400.lp3', '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: 4362372
    {'conductor': 176400, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '176400.lp3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4362373
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '176400.lp3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4362374
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '176400.lp3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4362375
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '176400.lp3', 'prime': 7, '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: 2799910
    {'adelic_gens': [[681, 808, 836, 509], [599, 816, 468, 551], [1, 12, 12, 145], [699, 556, 832, 387], [488, 819, 285, 374], [15, 106, 374, 11], [817, 24, 816, 25], [626, 837, 585, 806], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 176400, 'lmfdb_label': '176400.lp3', 'prime': 0}
  • id: 663146
    {'conductor': 176400, 'elladic_image': '8.12.0.14', 'lmfdb_label': '176400.lp3', 'modell_image': '2B', 'prime': 2}
  • id: 663147
    {'conductor': 176400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '176400.lp3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 176400.lp does not appear in ec_padic