Elliptic curve data - 1260.j4

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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': '1260d', 'Clabel': '1260d1', 'Cnumber': 1, 'abc_quality': 0.99349611250394, 'absD': 47250000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, -132, 481], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1260, 'degree': 288, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.19074610089408388065165488009', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [588791808, 109375], 'lmfdb_iso': '1260.j', 'lmfdb_label': '1260.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1188, -12987], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '42.48.0-42.c.1.4', '60.48.0-60.s.1.16', '140.6.0.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31495603145959197866956713629', 'prec': 107}, 'szpiro_ratio': 3.678736247738358, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 1, 0, 1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, 1, 1, 0, -4, 6, 2, 6, 0, 2, 2, 6, -4, 0, -6, 12, -10, -4, 12, -4, 8, 12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 1260, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1260.j', 'trace_hash': 1384232261873095812}
• 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': '0.68284171098164250972507748800', 'prec': 103}, 'conductor': 1260, 'gens': [], 'heights': [], 'lmfdb_label': '1260.j4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9146354337462182327898300149', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9146354337462182327898300148578764856', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[2, 15, 1]], 'xcoord_integral_points': [-13, 2, 12]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '1260.j4'}
• ec_torsion_growth •

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

  
  
  • id: 62637
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '1260.j4', 'torsion': [2, 6]}
  • id: 62638
    {'degree': 4, 'field': [21, 0, 18, 0, 1], 'lmfdb_label': '1260.j4', 'torsion': [12]}
  • id: 62639
    {'degree': 6, 'field': [225, -45, -36, 21, 6, -3, 1], 'lmfdb_label': '1260.j4', 'torsion': [3, 6]}
  • id: 62640
    {'degree': 8, 'field': [-1175, 2320, -1180, -212, 250, -16, -4, -4, 1], 'lmfdb_label': '1260.j4', 'torsion': [2, 12]}
  • id: 62641
    {'degree': 8, 'field': [7060, -3400, 1976, 368, -122, 76, 8, -2, 1], 'lmfdb_label': '1260.j4', 'torsion': [2, 12]}
  • id: 62642
    {'degree': 9, 'field': [-1225, -3675, -2205, 84, 420, 63, -15, -3, 0, 1], 'lmfdb_label': '1260.j4', 'torsion': [18]}
  • id: 62643
    {'degree': 12, 'field': [12769, -678, -1659, 4430, -1590, -798, 365, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '1260.j4', 'torsion': [6, 6]}
  • id: 62644
    {'degree': 16, 'field': [1500625, 0, -171500, 0, 730100, 0, -189140, 0, 39466, 0, -5404, 0, 596, 0, -4, 0, 1], 'lmfdb_label': '1260.j4', 'torsion': [24]}
  • id: 62645
    {'degree': 18, 'field': [-1953125, 0, 2578125, 1931250, -3225000, -354375, 1954500, -975000, 467250, -215575, 67275, -22200, -75, 1995, 45, -51, -12, -3, 1], 'lmfdb_label': '1260.j4', 'torsion': [2, 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: 18739
    {'conductor': 1260, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '1260.j4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 18740
    {'conductor': 1260, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '1260.j4', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 18741
    {'conductor': 1260, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1260.j4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 18742
    {'conductor': 1260, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1260.j4', 'prime': 7, '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: 1672505
    {'adelic_gens': [[409, 12, 408, 13], [39, 178, 266, 401], [152, 11, 105, 388], [337, 12, 342, 73], [310, 3, 213, 412], [11, 2, 370, 411], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1]], 'adelic_image': '420.96.1.?', 'conductor': 1260, 'lmfdb_label': '1260.j4', 'prime': 0}
  • id: 6063
    {'conductor': 1260, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1260.j4', 'modell_image': '2B', 'prime': 2}
  • id: 6064
    {'conductor': 1260, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1260.j4', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 1260.j does not appear in ec_padic