Elliptic curve data - 370678.l2

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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': '370678l', 'Clabel': '370678l1', 'Cnumber': 1, 'abc_quality': 0.9443042493318172, 'absD': 632894185526315761664, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 370678, 'ainvs': [1, -1, 1, -4227108, 3558433863], 'analytic_rank': 1, 'bad_primes': [2, 7, 11, 29, 83], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 370678, 'degree': 31479168, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7396262056545468307574019176', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 7], 'jinv': [-8353214767445697278209809, 632894185526315761664], 'lmfdb_iso': '370678.l', 'lmfdb_label': '370678.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -4227108, 3558433863], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '370678.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3303022144092552676897780473', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.7396262056545468307574019176', 'prec': 100}, 'szpiro_ratio': 4.484701309556438, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
• 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, -3, 1, -1, -3, 1, 1, 6, -1, 1, -3, 0, 1, 3, 1, 4, 6, -1, -1], 'aplist': [1, -3, -1, 1, 1, 0, 4, -1, -4, 1, 11, -4, 0, 2, -8, -2, 4, 6, 12, -12, 11, 10, -1, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 370678, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '370678.l', 'trace_hash': 1763140924354779500}
• 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': '0.0041724478070212600869357960395', 'prec': 110}, 'conductor': 370678, 'gens': [[833, 24377, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3303022144092552676897780473', 'prec': 100}], 'lmfdb_label': '370678.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15920183952711988061201852057', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4226633420127194005719648397488288184', 'prec': 130}, 'tamagawa_product': 686, 'torsion_generators': [[1029, 16733, 1]], 'xcoord_integral_points': [-1127, -379, 833, 1029, 2261, 44149]}
• lmfdb_label 370678.l2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15386205
    {'degree': 3, 'field': [-338, -31, 0, 1], 'lmfdb_label': '370678.l2', 'torsion': [14]}
  • id: 15386206
    {'degree': 6, 'field': [2965424, 0, 8649, 0, -186, 0, 1], 'lmfdb_label': '370678.l2', 'torsion': [2, 14]}
  • id: 15386207
    {'degree': 8, 'field': [-1198272, 0, -281616, 0, -3792, 0, 0, 0, 1], 'lmfdb_label': '370678.l2', 'torsion': [21]}
  • id: 15386208
    {'degree': 12, 'field': [64267636723184, 24323618484704, 3717142773004, 162172948144, -16436213128, -2647750112, -74860883, 5403120, 489847, -4048, -745, 0, 1], 'lmfdb_label': '370678.l2', 'torsion': [28]}
• 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: 9171310
    {'conductor': 370678, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '370678.l2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 9171311
    {'conductor': 370678, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '370678.l2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 9171312
    {'conductor': 370678, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '370678.l2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 9171313
    {'conductor': 370678, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '370678.l2', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9171314
    {'conductor': 370678, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '370678.l2', 'prime': 83, '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: 3971104
    {'adelic_gens': [[202196, 7, 101087, 370672], [38354, 7, 12775, 370672], [1, 14, 0, 1], [8, 7, 370671, 264764], [1, 0, 14, 1], [8, 5, 91, 57], [370665, 14, 370664, 15], [183114, 7, 71449, 370672]], 'adelic_image': '370678.96.2.?', 'conductor': 370678, 'lmfdb_label': '370678.l2', 'prime': 0}
  • id: 1272441
    {'conductor': 370678, 'elladic_image': '7.48.0.1', 'lmfdb_label': '370678.l2', 'modell_image': '7B.1.1', 'prime': 7}
• lmfdb_iso 370678.l does not appear in ec_padic