Elliptic curve data - 7220.f3

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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': '7220c', 'Clabel': '7220c1', 'Cnumber': 1, 'abc_quality': 0.9562146657916117, 'absD': 3763670480, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -481, -2634], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 7220, 'degree': 3456, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.54226939406770025883048763537', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [16384, 5], 'lmfdb_iso': '7220.f', 'lmfdb_label': '7220.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1, 0], 'min_quad_twist_disc': -19, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0.f.1', '20.24.0.e.1', '24.48.0.bq.1', '30.24.0.a.1', '57.8.0-3.a.1.1', '60.96.3.bk.1', '114.24.0.?', '120.192.9.?', '152.12.0.?', '228.48.0.?', '456.96.0.?', '570.48.0.?', '760.48.0.?', '1140.192.3.?', '2280.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3904827126029969668070147279', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1805], [5, 6, 1444], [19, 182, 20]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1609991557021684076464367877', 'prec': 103}, 'szpiro_ratio': 3.392752449273846, '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, 0, 2, 0, -1, 0, 2, 0, 1, 0, 0, 0, -2, 0, -2, 0, -6, 0, 0, 0], 'aplist': [0, 2, -1, 2, 0, -2, -6, 0, 6, -6, 4, -2, -6, -10, -6, 6, -12, 2, -2, 12, 2, -8, 6, 6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 7220, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '7220.f', 'trace_hash': 1686000940299203923}
• 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': '0.33805766615158579869302337870', 'prec': 103}, 'conductor': 7220, 'gens': [[3238, 146566, 9]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3904827126029969668070147279', 'prec': 100}], 'lmfdb_label': '7220.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0434585561618036523525992013', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6247453083078860070995387531394226181', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-6, 0, 1]], 'xcoord_integral_points': [-6]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7220.f3'}
• ec_torsion_growth •

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

  
  
  • id: 380143
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 2]}
  • id: 380144
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '7220.f3', 'torsion': [6]}
  • id: 380146
    {'degree': 4, 'field': [36, 0, 7, 0, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 6]}
  • id: 380145
    {'degree': 4, 'field': [461, 18, -36, -2, 1], 'lmfdb_label': '7220.f3', 'torsion': [4]}
  • id: 380147
    {'degree': 6, 'field': [58, -502, 298, -43, -1, -3, 1], 'lmfdb_label': '7220.f3', 'torsion': [6]}
  • id: 380150
    {'degree': 8, 'field': [137, 234, -90, -266, 79, 62, -16, -4, 1], 'lmfdb_label': '7220.f3', 'torsion': [12]}
  • id: 380148
    {'degree': 8, 'field': [5041, 3976, 1568, -646, 223, 38, 2, -2, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 4]}
  • id: 380149
    {'degree': 8, 'field': [29836, 35952, 13360, -1448, -766, -32, -40, -2, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 4]}
  • id: 380151
    {'degree': 12, 'field': [6724, 0, 19244, 0, 8496, 0, 2299, 0, 339, 0, 29, 0, 1], 'lmfdb_label': '7220.f3', 'torsion': [3, 6]}
  • id: 380152
    {'degree': 12, 'field': [42849, 0, -253917, 0, 29650, 0, -4205, 0, 390, 0, -17, 0, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 6]}
  • id: 380155
    {'degree': 16, 'field': [268196, 488400, -60712, -428312, 22646, 203088, -29948, -64190, 14465, 13238, -3474, -1654, 452, 114, -30, -4, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 12]}
  • id: 380156
    {'degree': 16, 'field': [2615521, -1373282, 2155680, -1161010, 879034, -407832, 239458, -86310, 45151, -13032, 5918, -1366, 554, -94, 34, -4, 1], 'lmfdb_label': '7220.f3', 'torsion': [2, 12]}
  • id: 380154
    {'degree': 16, 'field': [50197225, 0, -40584712, 0, 16257920, 0, -3878832, 0, 570010, 0, -51240, 0, 2736, 0, -80, 0, 1], 'lmfdb_label': '7220.f3', 'torsion': [8]}
  • id: 380153
    {'degree': 16, 'field': [141158161, -20720464, 1520768, 11252506, -3077913, 1365620, 281202, -175592, 71345, -3752, -1478, 1320, -473, 6, 8, -4, 1], 'lmfdb_label': '7220.f3', 'torsion': [4, 4]}
  • id: 380157
    {'degree': 18, 'field': [1766731, -2082882, 4044939, -2395489, 3283011, -1436217, 1457051, -521487, 411819, -120052, 78924, -18231, 10325, -1827, 885, -110, 45, -3, 1], 'lmfdb_label': '7220.f3', 'torsion': [18]}
• 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: 148547
    {'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '7220.f3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 148548
    {'conductor': 7220, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7220.f3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 148549
    {'conductor': 7220, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7220.f3', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1711806
    {'adelic_gens': [[2257, 24, 2256, 25], [21, 4, 2180, 2261], [1, 12, 12, 145], [1141, 1824, 912, 1369], [1521, 1444, 1900, 1521], [7, 24, 492, 1687], [1, 24, 0, 1], [1312, 741, 1995, 1426], [1, 0, 24, 1], [1065, 1102, 722, 2243], [359, 0, 0, 2279]], 'adelic_image': '2280.384.9.?', 'conductor': 7220, 'lmfdb_label': '7220.f3', 'prime': 0}
  • id: 35684
    {'conductor': 7220, 'elladic_image': '4.6.0.3', 'lmfdb_label': '7220.f3', 'modell_image': '2B', 'prime': 2}
  • id: 35685
    {'conductor': 7220, 'elladic_image': '3.4.0.1', 'lmfdb_label': '7220.f3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 292727
    {'lmfdb_iso': '7220.f', 'p': 7, 'prec': 20, 'unit': 2796328367213616, 'val': 1}
  • id: 292731
    {'lmfdb_iso': '7220.f', 'p': 13, 'prec': 20, 'unit': 599714372547845916236, 'val': 1}
  • id: 292733
    {'lmfdb_iso': '7220.f', 'p': 17, 'prec': 20, 'unit': 10518781818063500663319, 'val': 1}
  • id: 292738
    {'lmfdb_iso': '7220.f', 'p': 23, 'prec': 20, 'unit': 20344215496020285642530552, 'val': 1}
  • id: 292730
    {'lmfdb_iso': '7220.f', 'p': 29, 'prec': 20, 'unit': 3142750206761296193985039826, 'val': 1}
  • id: 292743
    {'lmfdb_iso': '7220.f', 'p': 31, 'prec': 20, 'unit': 17700634286947586287150635331, 'val': 1}
  • id: 292726
    {'lmfdb_iso': '7220.f', 'p': 37, 'prec': 20, 'unit': 130684278236693562323868664415, 'val': 1}
  • id: 292728
    {'lmfdb_iso': '7220.f', 'p': 41, 'prec': 20, 'unit': 1939251454942221441746889037151, 'val': 1}
  • id: 292729
    {'lmfdb_iso': '7220.f', 'p': 43, 'prec': 20, 'unit': 7298972187745862569073987978181, 'val': 1}
  • id: 292741
    {'lmfdb_iso': '7220.f', 'p': 47, 'prec': 20, 'unit': 57798067443977918768284373077723, 'val': 1}
  • id: 292735
    {'lmfdb_iso': '7220.f', 'p': 53, 'prec': 20, 'unit': 271706925533726037428485867010528, 'val': 1}
  • id: 292736
    {'lmfdb_iso': '7220.f', 'p': 59, 'prec': 20, 'unit': 2506256192163036998062959768321935, 'val': 1}
  • id: 292742
    {'lmfdb_iso': '7220.f', 'p': 61, 'prec': 20, 'unit': 796144631557830102990471299034640, 'val': 1}
  • id: 292725
    {'lmfdb_iso': '7220.f', 'p': 67, 'prec': 20, 'unit': 11379673764444123863648427728286899, 'val': 1}
  • id: 292740
    {'lmfdb_iso': '7220.f', 'p': 71, 'prec': 20, 'unit': 43229941949180909912997843840339663, 'val': 1}
  • id: 292737
    {'lmfdb_iso': '7220.f', 'p': 73, 'prec': 20, 'unit': 207942537388223577703403097643066987, 'val': 1}
  • id: 292732
    {'lmfdb_iso': '7220.f', 'p': 79, 'prec': 20, 'unit': 914144106758139508341710491402935681, 'val': 1}
  • id: 292734
    {'lmfdb_iso': '7220.f', 'p': 83, 'prec': 20, 'unit': 1241623457238534159194139527910919780, 'val': 1}
  • id: 292739
    {'lmfdb_iso': '7220.f', 'p': 89, 'prec': 20, 'unit': 2155144287454727823515238067642082325, 'val': 1}
  • id: 292724
    {'lmfdb_iso': '7220.f', 'p': 97, 'prec': 20, 'unit': 29543543995306615821249425143918376247, 'val': 1}