Elliptic curve data - 120213.c2

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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': '120213d', 'Clabel': '120213d1', 'Cnumber': 1, 'abc_quality': 0.8673564330810954, 'absD': 34262150801751, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [1, -1, 1, 4264, -261494], 'analytic_rank': 1, 'bad_primes': [3, 19, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 120213, 'degree': 314496, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2797775927268117073444628377', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [9261, 37], 'lmfdb_iso': '120213.c', 'lmfdb_label': '120213.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 1, -2], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '148.6.0.?', '222.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8977686969852958017331491995', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 40071], [3, 2, 13357], [19, 182, 333], [37, 38, 3249]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0164011133574907912064848059', 'prec': 103}, 'szpiro_ratio': 3.288299485199489, '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, -2, 0, -4, 3, 0, 2, 4, 0, 2, 4, 0, -1, -6, 0, 0, 2], 'aplist': [-1, 0, -2, -4, 4, 2, -6, 0, 8, -6, -2, 1, 0, -10, -12, -4, 4, 10, 4, 12, -10, -10, 0, 2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 120213, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '120213.c', 'trace_hash': 732523839461782463}
• 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': '0.077339134365244087535050457945', 'prec': 107}, 'conductor': 120213, 'gens': [[508, 9911, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8977686969852958017331491995', 'prec': 100}], 'lmfdb_label': '120213.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33158774520327651585677845067', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2872155691670969209637835489014897438', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[43, -22, 1]], 'xcoord_integral_points': [43]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '120213.c2'}
• ec_torsion_growth •

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

  
  
  • id: 5496607
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '120213.c2', 'torsion': [2, 2]}
  • id: 5496608
    {'degree': 4, 'field': [-2568, -228, -87, 0, 1], 'lmfdb_label': '120213.c2', 'torsion': [4]}
  • id: 5496611
    {'degree': 8, 'field': [-32759, 28780, -9617, 2677, -653, 22, 4, -2, 1], 'lmfdb_label': '120213.c2', 'torsion': [6]}
  • id: 5496610
    {'degree': 8, 'field': [1254400, 0, 142528, 0, 4944, 0, 67, 0, 1], 'lmfdb_label': '120213.c2', 'torsion': [2, 4]}
  • id: 5496609
    {'degree': 8, 'field': [1552516, 0, -106487, 0, 3447, 0, -77, 0, 1], 'lmfdb_label': '120213.c2', 'torsion': [2, 4]}
  • id: 5496612
    {'degree': 16, 'field': [727609, 0, -12969284, 0, -2714458, 0, 361804, 0, 25171, 0, -436, 0, -454, 0, -16, 0, 1], 'lmfdb_label': '120213.c2', 'torsion': [8]}
  • id: 5496613
    {'degree': 16, 'field': [253478241, 0, 162027378, 0, 38781477, 0, 2754459, 0, -45252, 0, 15993, 0, -840, 0, 0, 0, 1], 'lmfdb_label': '120213.c2', 'torsion': [2, 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: 2959087
    {'conductor': 120213, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '120213.c2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2959088
    {'conductor': 120213, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '120213.c2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2959089
    {'conductor': 120213, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '120213.c2', 'prime': 37, '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: 2448749
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [337, 112, 332, 111], [152, 1, 295, 0], [441, 4, 440, 5], [374, 1, 35, 0]], 'adelic_image': '444.12.0.?', 'conductor': 120213, 'lmfdb_label': '120213.c2', 'prime': 0}
  • id: 472397
    {'conductor': 120213, 'elladic_image': '2.3.0.1', 'lmfdb_label': '120213.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 6282670
    {'lmfdb_iso': '120213.c', 'p': 5, 'prec': 20, 'unit': 34709659734, 'val': 3}
  • id: 6282671
    {'lmfdb_iso': '120213.c', 'p': 7, 'prec': 20, 'unit': 10465038076904977, 'val': 1}
  • id: 6282669
    {'lmfdb_iso': '120213.c', 'p': 11, 'prec': 20, 'unit': 51931818380523699709, 'val': 1}
  • id: 6282675
    {'lmfdb_iso': '120213.c', 'p': 13, 'prec': 20, 'unit': 1424278198483879249636, 'val': 1}
  • id: 6282677
    {'lmfdb_iso': '120213.c', 'p': 17, 'prec': 20, 'unit': 226172353688302021126408, 'val': 1}
  • id: 6282681
    {'lmfdb_iso': '120213.c', 'p': 23, 'prec': 20, 'unit': 15313267000626030940054812, 'val': 1}
  • id: 6282674
    {'lmfdb_iso': '120213.c', 'p': 29, 'prec': 20, 'unit': 2672621657325304596947529077, 'val': 1}
  • id: 6282686
    {'lmfdb_iso': '120213.c', 'p': 31, 'prec': 20, 'unit': 4349435314591698311513258731, 'val': 1}
  • id: 6282673
    {'lmfdb_iso': '120213.c', 'p': 43, 'prec': 20, 'unit': 8160507266867026955649235879604, 'val': 1}
  • id: 6282684
    {'lmfdb_iso': '120213.c', 'p': 47, 'prec': 20, 'unit': 58375000211447236534650521823495, 'val': 1}
  • id: 6282679
    {'lmfdb_iso': '120213.c', 'p': 53, 'prec': 20, 'unit': 406054808875632810636481877280134, 'val': 1}
  • id: 6282680
    {'lmfdb_iso': '120213.c', 'p': 59, 'prec': 20, 'unit': 1792761886475009399662614742615607, 'val': 1}
  • id: 6282685
    {'lmfdb_iso': '120213.c', 'p': 61, 'prec': 20, 'unit': 5123596995956553108822660784890831, 'val': 1}
  • id: 6282678
    {'lmfdb_iso': '120213.c', 'p': 67, 'prec': 20, 'unit': 43339697831007527459435770697619343, 'val': 1}
  • id: 6282683
    {'lmfdb_iso': '120213.c', 'p': 71, 'prec': 20, 'unit': 64870737887752752578062719169540095, 'val': 1}
  • id: 6282672
    {'lmfdb_iso': '120213.c', 'p': 73, 'prec': 20, 'unit': 47792440275647987166917744826106130, 'val': 1}
  • id: 6282676
    {'lmfdb_iso': '120213.c', 'p': 79, 'prec': 20, 'unit': 1091767701157948339279911024685941847, 'val': 1}
  • id: 6282682
    {'lmfdb_iso': '120213.c', 'p': 89, 'prec': 20, 'unit': 6078251314741544313756402421790970319, 'val': 1}
  • id: 6282668
    {'lmfdb_iso': '120213.c', 'p': 97, 'prec': 20, 'unit': 32194420902045234332371910159217064033, 'val': 1}