Elliptic curve data - 343230.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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '343230l', 'Clabel': '343230l1', 'Cnumber': 1, 'abc_quality': 0.9732418441774146, 'absD': 773065454327965440000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2402610, 'ainvs': [1, 0, 0, 14097935, -37071642775], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 17, 673], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 343230, 'degree': 48206592, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2675507154111425571240574017', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 7], 'jinv': [309877627207229469173251439, 773065454327965440000000], 'lmfdb_iso': '343230.l', 'lmfdb_label': '343230.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 14097935, -37071642775], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '343230.2.0.?', '2402610.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 171615], [3, 4, 114410], [5, 6, 68646], [7, 2, 673], [17, 18, 20190], [673, 674, 510]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2675507154111425571240574017', 'prec': 100}, 'szpiro_ratio': 4.879545251538303, '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, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 1, 1, 1, 1, 1, -8, 1], 'aplist': [1, 1, 1, 1, -2, 0, 1, -8, -4, 2, -3, 3, 0, 9, 6, -9, -3, -15, -9, -12, 11, -4, 7, 6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 343230, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '343230.l', 'trace_hash': 1426786946036296178}
• 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': '0.0014515817851516238063312250033', 'prec': 110}, 'conductor': 343230, 'gens': [], 'heights': [], 'lmfdb_label': '343230.l2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.046314817949614107459310669776', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5388521590621825310124456380544075652', 'prec': 130}, 'tamagawa_product': 4802, 'torsion_generators': [[2330, 90635, 1]], 'xcoord_integral_points': [2330, 5390, 22730]}
• lmfdb_label 343230.l2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14347879
    {'degree': 3, 'field': [-144, 114, -1, 1], 'lmfdb_label': '343230.l2', 'torsion': [14]}
  • id: 14347880
    {'degree': 6, 'field': [1777824, -480552, 44164, -966, -71, 0, 1], 'lmfdb_label': '343230.l2', 'torsion': [2, 14]}
  • id: 14347881
    {'degree': 8, 'field': [-1248096, -234816, 230856, 7919, -3956, -7, 7, -4, 1], 'lmfdb_label': '343230.l2', 'torsion': [21]}
  • id: 14347882
    {'degree': 12, 'field': [-34988162280320, -3798355085120, 1593088951880, 88047702240, -7659618458, 166296464, 6405217, -2135506, 151465, 2988, -649, -2, 1], 'lmfdb_label': '343230.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: 8494852
    {'conductor': 343230, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '343230.l2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 8494853
    {'conductor': 343230, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '343230.l2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 8494854
    {'conductor': 343230, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '343230.l2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 8494855
    {'conductor': 343230, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '343230.l2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 8494856
    {'conductor': 343230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '343230.l2', 'prime': 673, '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: 3808402
    {'adelic_gens': [[1, 14, 0, 1], [2402597, 14, 2402596, 15], [1601741, 14, 1601747, 99], [1, 14, 0, 1716151], [1, 0, 14, 1], [8, 5, 91, 57], [1441567, 14, 480529, 99], [82111, 14, 574777, 99], [565321, 14, 1554637, 99]], 'adelic_image': '2402610.96.2.?', 'conductor': 343230, 'lmfdb_label': '343230.l2', 'prime': 0}
  • id: 1190057
    {'conductor': 343230, 'elladic_image': '7.48.0.1', 'lmfdb_label': '343230.l2', 'modell_image': '7B.1.1', 'prime': 7}
• lmfdb_iso 343230.l does not appear in ec_padic