Elliptic curve data - 242760.br3

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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': '242760br', 'Clabel': '242760br1', 'Cnumber': 1, 'abc_quality': 1.1312171453358946, 'absD': 12574013991131250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, -1, 0, -8089495, -8851510100], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 242760, 'degree': 9830400, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6596960027796251490623735675', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [151591373397612544, 32558203125], 'lmfdb_iso': '242760.br', 'lmfdb_label': '242760.br3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -27991, -1811530], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '42.6.0.a.1', '56.12.0.ba.1', '84.12.0.?', '136.12.0.?', '168.24.0.?', '204.12.0.?', '408.24.0.?', '476.12.0.?', '952.24.0.?', '1428.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8974842465962908744768014456', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 6069], [3, 4, 11560], [5, 6, 16184], [7, 8, 34680], [17, 146, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0120402705648686724651955514', 'prec': 100}, 'szpiro_ratio': 4.784891449653212, '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, 1, 0, 1, 0, 1, 0, 0, 0, 6, 0, -1, 0, 0, 0, 4, 0], 'aplist': [0, -1, 1, 1, 0, 6, 0, 4, -4, -6, 0, -6, 2, -4, 8, -2, -12, -6, -4, 12, -10, 8, -12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 242760, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '242760.br', 'trace_hash': 1503123976926947531}
• 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': '0.0048957293968086012398676328334', 'prec': 110}, 'conductor': 242760, 'gens': [[6840, 505750, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8974842465962908744768014456', 'prec': 100}], 'lmfdb_label': '242760.br3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.089520973190800045208090746449', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1535025457365749107070291329042612857', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-1660, 0, 1]], 'xcoord_integral_points': [-1660, 6840]}
• lmfdb_label 242760.br3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10472918
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '242760.br3', 'torsion': [2, 2]}
  • id: 10472919
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '242760.br3', 'torsion': [4]}
  • id: 10472920
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '242760.br3', 'torsion': [4]}
  • id: 10472921
    {'degree': 4, 'field': [60, -54, 19, -1, 1], 'lmfdb_label': '242760.br3', 'torsion': [2, 4]}
  • id: 10472925
    {'degree': 8, 'field': [-18735, -12720, -8620, -3564, -534, -52, -12, 0, 1], 'lmfdb_label': '242760.br3', 'torsion': [6]}
  • id: 10472923
    {'degree': 8, 'field': [25, -170, 452, -530, 181, 98, -28, -4, 1], 'lmfdb_label': '242760.br3', 'torsion': [8]}
  • id: 10472922
    {'degree': 8, 'field': [7921, 0, -120530, 0, 9903, 0, -170, 0, 1], 'lmfdb_label': '242760.br3', 'torsion': [2, 4]}
  • id: 10472924
    {'degree': 8, 'field': [15282, 1116, -844, -534, 243, 26, -4, -4, 1], 'lmfdb_label': '242760.br3', 'torsion': [8]}
  • id: 10472929
    {'degree': 16, 'field': [-146797535, 1360758700, 444398100, 284662556, -7462426, -12553788, -2073936, 4389384, 507627, -86696, 2404, -6816, -234, 288, -36, -8, 1], 'lmfdb_label': '242760.br3', 'torsion': [2, 6]}
  • id: 10472927
    {'degree': 16, 'field': [149788, -80728, 74252, 32172, -47995, -2498, 56194, -24054, -19214, 10860, 3262, -2314, -130, 210, -10, -8, 1], 'lmfdb_label': '242760.br3', 'torsion': [2, 8]}
  • id: 10472928
    {'degree': 16, 'field': [11971600, 0, 5895792, 0, 1313932, 0, 227808, 0, 28257, 0, 2016, 0, 226, 0, 0, 0, 1], 'lmfdb_label': '242760.br3', 'torsion': [2, 8]}
  • id: 10472926
    {'degree': 16, 'field': [14912500, 4039000, 31452000, 35651480, 20863632, 11570640, 5096992, 1640864, 503985, 139138, 29854, 4590, 2187, -98, 84, -4, 1], 'lmfdb_label': '242760.br3', 'torsion': [4, 4]}
  • id: 10472930
    {'degree': 16, 'field': [999328545, 68235570, 589339560, 36608874, 148244872, 6451026, 20932236, 461536, 1853811, 10296, 108390, -204, 4164, -8, 96, 0, 1], 'lmfdb_label': '242760.br3', 'torsion': [12]}
  • id: 10472931
    {'degree': 16, 'field': [3869835264, 0, 179159040, 0, -58226688, 0, 2488320, 0, 764880, 0, 6640, 0, 1128, 0, 0, 0, 1], 'lmfdb_label': '242760.br3', 'torsion': [12]}
• 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: 6016766
    {'conductor': 242760, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '242760.br3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6016767
    {'conductor': 242760, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '242760.br3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6016768
    {'conductor': 242760, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '242760.br3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6016769
    {'conductor': 242760, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '242760.br3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6016770
    {'conductor': 242760, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '242760.br3', 'prime': 17, '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: 3206742
    {'adelic_gens': [[953, 612, 782, 1871], [2755, 2754, 34, 1123], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 2850, 2851], [2849, 8, 2848, 9], [1072, 1683, 901, 1514], [460, 1513, 1343, 1854], [167, 0, 0, 2855]], 'adelic_image': '2856.48.0.?', 'conductor': 242760, 'lmfdb_label': '242760.br3', 'prime': 0}
  • id: 878913
    {'conductor': 242760, 'elladic_image': '4.6.0.1', 'lmfdb_label': '242760.br3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 242760.br does not appear in ec_padic