Elliptic curve data - 350350.k1

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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': '350350k', 'Clabel': '350350k1', 'Cnumber': 1, 'abc_quality': 1.0005974240498627, 'absD': 63827463700000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 156, 'ainvs': [1, 0, 1, -19738451, 33751770798], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 350350, 'degree': 20528640, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6738784900040543551662664164', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 3], 'jinv': [-906798283425435625, 68054272], 'lmfdb_iso': '350350.k', 'lmfdb_label': '350350.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -789538, 269698351], 'min_quad_twist_disc': 5, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '52.2.0.a.1', '156.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1125123187336535604638165476', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [3, 2, 26950], [5, 10, 14014], [7, 20, 7150], [11, 12, 31850], [13, 14, 26950]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95228316536288300373064261310', 'prec': 103}, 'szpiro_ratio': 4.8570029100310546, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, -2, 1, 0, 2, 0, -1, 1, 0, -1, -2, 1, 0, 0, 1, -6, -1, -1, 0], 'aplist': [-1, -2, 0, 0, -1, 1, -6, -1, -6, 9, 5, 8, 12, 8, -3, -3, 3, 2, -4, 15, -4, 8, 9, -6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 350350, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '350350.k', 'trace_hash': 287041425266486351}
• 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': '0.0047588131502662063986135382505', 'prec': 110}, 'conductor': 350350, 'gens': [[2591, 992, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1125123187336535604638165476', 'prec': 100}], 'lmfdb_label': '350350.k1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26575861755074680685284897222', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5479168300179788245561009797181729260', 'prec': 130}, 'tamagawa_product': 108, 'torsion_generators': [[2552, -139, 1]], 'xcoord_integral_points': [-4273, 2552, 2591, 16202]}
• lmfdb_label 350350.k1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14621174
    {'degree': 3, 'field': [-210, -35, 0, 1], 'lmfdb_label': '350350.k1', 'torsion': [6]}
  • id: 14621175
    {'degree': 6, 'field': [468, 0, 412, 0, -19, 0, 1], 'lmfdb_label': '350350.k1', 'torsion': [2, 6]}
  • id: 14621176
    {'degree': 6, 'field': [1076403, 0, -3593, 0, 1, 0, 1], 'lmfdb_label': '350350.k1', 'torsion': [3, 3]}
  • id: 14621177
    {'degree': 9, 'field': [12595549, -2760699, -9958827, -1828529, -262767, -21648, -928, 171, 0, 1], 'lmfdb_label': '350350.k1', 'torsion': [9]}
  • id: 14621178
    {'degree': 12, 'field': [-4695613, 0, -1638524, 0, -93817, 0, -2104, 0, 421, 0, 4, 0, 1], 'lmfdb_label': '350350.k1', 'torsion': [12]}
  • id: 14621179
    {'degree': 18, 'field': [19203322385043, 0, -420488826975, 0, 49256356488, 0, 10224907972, 0, -106412834, 0, 27683238, 0, -567760, 0, 17268, 0, -233, 0, 1], 'lmfdb_label': '350350.k1', 'torsion': [3, 6]}
• 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: 8672154
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '350350.k1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8672155
    {'conductor': 350350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '350350.k1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8672156
    {'conductor': 350350, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '350350.k1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 8672157
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350350.k1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8672158
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '350350.k1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3851442
    {'adelic_gens': [[153, 154, 146, 149], [79, 6, 81, 19], [1, 0, 6, 1], [4, 3, 9, 7], [66, 97, 13, 27], [3, 4, 8, 11], [145, 6, 123, 19], [151, 6, 150, 7], [1, 6, 0, 1]], 'adelic_image': '156.16.0.?', 'conductor': 350350, 'lmfdb_label': '350350.k1', 'prime': 0}
  • id: 1212249
    {'conductor': 350350, 'elladic_image': '3.8.0.1', 'lmfdb_label': '350350.k1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 350350.k does not appear in ec_padic