Elliptic curve data - 379050.x1

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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': '379050x', 'Clabel': '379050x2', 'Cnumber': 2, 'abc_quality': 0.9546925724717643, 'absD': 28816818130909147500000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 15960, 'ainvs': [1, 1, 0, -145650150, 676462792500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 379050, 'degree': 78796800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3528080939918918091808196517', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [67772591234011, 5715360], 'lmfdb_iso': '379050.x', 'lmfdb_label': '379050.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -16138, -795788], 'min_quad_twist_disc': -95, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '760.6.0.?', '840.6.0.?', '1596.6.0.?', '15960.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.2318258624836422269087156541', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33975990340001127687366941117', 'prec': 103}, 'szpiro_ratio': 5.294006677062794, '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, -1, -1, 1, 0, 1, -1, -1, 1, 0, 4, -1, -6, 1, 0, 1, -2, -1, 0, 0], 'aplist': [-1, -1, 0, -1, 4, -6, -2, 0, 0, -2, 8, 4, 8, 4, 0, 6, -2, 8, 12, 8, -4, -8, 4, 12, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 379050, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '379050.x', 'trace_hash': 150962252971769048}
• 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': '0.0012240182461916569859189194141', 'prec': 110}, 'conductor': 379050, 'gens': [[27135, 176715, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.2318258624836422269087156541', 'prec': 100}], 'lmfdb_label': '379050.x1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11266106835486869601434683464', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7153847289123158992571185841586298823', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[27675, -27675, 2]], 'xcoord_integral_points': []}
• lmfdb_label 379050.x1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15701132
    {'degree': 2, 'field': [-190, 0, 1], 'lmfdb_label': '379050.x1', 'torsion': [2, 2]}
  • id: 15701133
    {'degree': 4, 'field': [12160, 0, -19, 0, 1], 'lmfdb_label': '379050.x1', 'torsion': [4]}
  • id: 15701136
    {'degree': 8, 'field': [-61365, -3540, 1390, -1160, 1140, -120, -6, -4, 1], 'lmfdb_label': '379050.x1', 'torsion': [6]}
  • id: 15701135
    {'degree': 8, 'field': [524265, 84620, -110310, 51360, -25629, -64, 26, -4, 1], 'lmfdb_label': '379050.x1', 'torsion': [2, 4]}
  • id: 15701134
    {'degree': 8, 'field': [21298225, 0, -201030, 0, 26, 0, 138, 0, 1], 'lmfdb_label': '379050.x1', 'torsion': [2, 4]}
  • id: 15701138
    {'degree': 16, 'field': [239011600, 0, -434841520, 0, 16234116, 0, 8384464, 0, 465880, 0, -11660, 0, 3240, 0, 104, 0, 1], 'lmfdb_label': '379050.x1', 'torsion': [2, 6]}
  • id: 15701137
    {'degree': 16, 'field': [50979356194816, -38066630733824, 22960157541888, -9322465675264, 3021537638784, -805411213824, 182576738176, -31094367808, 3902980272, -371268608, 38819536, -2213904, 184884, -6944, 588, -4, 1], 'lmfdb_label': '379050.x1', 'torsion': [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: 9377227
    {'conductor': 379050, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '379050.x1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9377228
    {'conductor': 379050, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '379050.x1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9377229
    {'conductor': 379050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '379050.x1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9377230
    {'conductor': 379050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '379050.x1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9377231
    {'conductor': 379050, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '379050.x1', 'prime': 19, 'reduction_type': 0, '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: 4021094
    {'adelic_gens': [[15957, 4, 15956, 5], [1, 2, 2, 5], [1, 4, 0, 1], [13681, 4, 11402, 9], [2, 1, 7979, 0], [1996, 13969, 5985, 9976], [844, 1, 11759, 0], [3194, 1, 6383, 0], [1, 0, 4, 1], [3, 4, 8, 11], [5321, 4, 10642, 9]], 'adelic_image': '15960.12.0.?', 'conductor': 379050, 'lmfdb_label': '379050.x1', 'prime': 0}
  • id: 1297638
    {'conductor': 379050, 'elladic_image': '2.3.0.1', 'lmfdb_label': '379050.x1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 379050.x does not appear in ec_padic