Elliptic curve data - 130130.w2

Formats: - HTML - YAML - JSON - 2024-06-16T17:13:54.117949

• 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': '130130w', 'Clabel': '130130w1', 'Cnumber': 1, 'abc_quality': 0.992485083149469, 'absD': 4155386444015206400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 40040, 'ainvs': [1, -1, 0, -482819, 84117333], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 130130, 'degree': 2446080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2751807503332745685578271937', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [5665617068812395813, 1891391189811200], 'lmfdb_iso': '130130.w', 'lmfdb_label': '130130.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -482819, 84117333], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '520.6.0.?', '2002.6.0.?', '3080.6.0.?', '40040.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.001639068250525421756585976', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6339434109678903845444553333', 'prec': 100}, 'szpiro_ratio': 4.320189031426246, '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, 0, 1, 1, 0, -1, -1, -3, -1, -1, 0, 0, 1, 0, 1, 6, 3, 4, 1], 'aplist': [-1, 0, 1, -1, -1, 0, 6, 4, -4, 0, 4, -8, 4, 4, 0, 2, 12, -10, -2, 10, -14, 12, -18, 10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 130130, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '130130.w', 'trace_hash': 169959428637541646}
• 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': '0.010563385022816703531367913211', 'prec': 107}, 'conductor': 130130, 'gens': [[-137101, 25383119, 14]], 'heights': [{'__RealLiteral__': 0, 'data': '11.001639068250525421756585976', 'prec': 100}], 'lmfdb_label': '130130.w2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22719655967063633454677605685', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9990690940891688490065221207828682022', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[582, -291, 1]], 'xcoord_integral_points': [582]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 9, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '130130.w2'}
• ec_torsion_growth •

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

  
  
  • id: 5916131
    {'degree': 2, 'field': [-250, -1, 1], 'lmfdb_label': '130130.w2', 'torsion': [2, 2]}
  • id: 5916132
    {'degree': 4, 'field': [1001, 0, -78, 0, 1], 'lmfdb_label': '130130.w2', 'torsion': [4]}
  • id: 5916135
    {'degree': 8, 'field': [-1269356, -1100251, 1104556, -8611, 4309, -7, 7, -4, 1], 'lmfdb_label': '130130.w2', 'torsion': [6]}
  • id: 5916133
    {'degree': 8, 'field': [245105, -642040, -186786, 76916, 25083, 188, -318, -4, 1], 'lmfdb_label': '130130.w2', 'torsion': [2, 4]}
  • id: 5916134
    {'degree': 8, 'field': [3504384, 0, 322452, 0, 5785, 0, 78, 0, 1], 'lmfdb_label': '130130.w2', 'torsion': [2, 4]}
  • id: 5916137
    {'degree': 16, 'field': [-670619381491160, -658796488460790, -144419779816975, -38461374443238, -141664164416, -1197068923224, -134733233329, 8007497838, -2679804323, -170879358, -1390279, 1972998, 46531, 1734, -484, -6, 1], 'lmfdb_label': '130130.w2', 'torsion': [2, 6]}
  • id: 5916136
    {'degree': 16, 'field': [4810266159071, 44689356985544, -40908619714972, -7503800619192, 3607623056856, 173394267904, -58242129400, 396700824, -119061371, 12894128, -2212860, -203008, 36686, -1344, 212, -8, 1], 'lmfdb_label': '130130.w2', '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: 3209446
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 26, 'j_denominator_valuation': 26, 'kodaira_symbol': 30, 'lmfdb_label': '130130.w2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3209447
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '130130.w2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3209448
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '130130.w2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3209449
    {'conductor': 130130, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '130130.w2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3209450
    {'conductor': 130130, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '130130.w2', 'prime': 13, '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: 2511984
    {'adelic_gens': [[27724, 1, 3079, 0], [16017, 4, 32034, 9], [1, 2, 2, 5], [1, 4, 0, 1], [40037, 4, 40036, 5], [15017, 25026, 25024, 15015], [32762, 1, 3639, 0], [1, 0, 4, 1], [3, 4, 8, 11], [22882, 1, 28599, 0], [20021, 4, 2, 9]], 'adelic_image': '40040.12.0.?', 'conductor': 130130, 'lmfdb_label': '130130.w2', 'prime': 0}
  • id: 507196
    {'conductor': 130130, 'elladic_image': '2.3.0.1', 'lmfdb_label': '130130.w2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 130130.w does not appear in ec_padic