Elliptic curve data - 59290.p1

Formats: - HTML - YAML - JSON - 2025-10-05T18:30:25.579197

• 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': '59290s', 'Clabel': '59290s1', 'Cnumber': 1, 'abc_quality': 0.9706848607140809, 'absD': 55119968288000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 420, 'ainvs': [1, 1, 0, -29768, -2021312], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 59290, 'degree': 217728, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4313345673995309771898112063', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 3], 'jinv': [-1693700041, 32000], 'lmfdb_iso': '59290.p', 'lmfdb_label': '59290.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -608, 5806], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '20.2.0.a.1', '21.8.0-3.a.1.1', '60.8.0.a.1', '420.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0935752396359216830228194091', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 29645], [3, 2, 11858], [5, 6, 11858], [7, 26, 1210], [11, 52, 490]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34091893139424919005017969141', 'prec': 107}, 'szpiro_ratio': 3.871573355014925, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, -1, -2, 1, 0, -1, 4, 0, 1, 1, 0, 2, 4, -1], 'aplist': [-1, -1, -1, 0, 0, 4, 0, 4, 0, -6, 10, 8, 3, -1, -9, -12, -6, -11, -1, -6, -8, 14, 12, 15, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 59290, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '59290.p', 'trace_hash': 2082790858545045711}
• 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': '0.057116106042522281411830120313', 'prec': 107}, 'conductor': 59290, 'gens': [[336, 4936, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0935752396359216830228194091', 'prec': 100}], 'lmfdb_label': '59290.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18152803548066931267629351991', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3694238151764979760873425676239950136', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [336]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': [1, 0], '7': 'a', '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '59290.p1'}
• ec_torsion_growth •

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

  
  
  • id: 2851617
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '59290.p1', 'torsion': [3]}
  • id: 2851618
    {'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '59290.p1', 'torsion': [2]}
  • id: 2851619
    {'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '59290.p1', 'torsion': [2, 2]}
  • id: 2851620
    {'degree': 6, 'field': [123, -225, 142, -1, -30, -1, 1], 'lmfdb_label': '59290.p1', 'torsion': [3]}
  • id: 2851621
    {'degree': 6, 'field': [368, -64, 6, 29, 13, -1, 1], 'lmfdb_label': '59290.p1', 'torsion': [6]}
  • id: 2851622
    {'degree': 12, 'field': [-277196, -130433, 229225, 57253, 53643, 14668, 10540, 1128, 772, 81, 31, -1, 1], 'lmfdb_label': '59290.p1', 'torsion': [4]}
  • id: 2851623
    {'degree': 12, 'field': [1681, 0, 8459, 0, -4242, 0, 55, 0, 78, 0, 11, 0, 1], 'lmfdb_label': '59290.p1', 'torsion': [3, 3]}
  • id: 2851624
    {'degree': 12, 'field': [33856, -27232, 26632, 2688, -4862, 3670, -345, -674, 77, 50, 1, -6, 1], 'lmfdb_label': '59290.p1', 'torsion': [2, 6]}
  • id: 2851625
    {'degree': 18, 'field': [188167, -241143, -153786, -140350, 765276, -188526, 152015, 31032, 40482, 13397, 8346, -72, 1445, 54, 48, 40, 18, -3, 1], 'lmfdb_label': '59290.p1', 'torsion': [9]}
  • id: 2851626
    {'degree': 18, 'field': [3803125, -13896375, 584125, 10773000, 3676150, -5879450, -781010, 810864, 48323, -158337, 40003, 24688, -10326, -1894, 942, 92, -43, -3, 1], 'lmfdb_label': '59290.p1', 'torsion': [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: 1428284
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '59290.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1428285
    {'conductor': 59290, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '59290.p1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1428286
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '59290.p1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1428287
    {'conductor': 59290, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '59290.p1', 'prime': 11, 'reduction_type': 0, '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: 2057743
    {'adelic_gens': [[415, 6, 414, 7], [337, 126, 231, 379], [4, 3, 9, 7], [211, 126, 273, 379], [246, 301, 385, 351], [179, 0, 0, 419], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '420.16.0.?', 'conductor': 59290, 'lmfdb_label': '59290.p1', 'prime': 0}
  • id: 251236
    {'conductor': 59290, 'elladic_image': '3.4.0.1', 'lmfdb_label': '59290.p1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3011058
    {'lmfdb_iso': '59290.p', 'p': 13, 'prec': 20, 'unit': 812189908722498084851, 'val': 1}
  • id: 3011061
    {'lmfdb_iso': '59290.p', 'p': 19, 'prec': 20, 'unit': 1511723708874460305109802, 'val': 1}
  • id: 3011057
    {'lmfdb_iso': '59290.p', 'p': 29, 'prec': 20, 'unit': 3515164671878764848305681880, 'val': 1}
  • id: 3011067
    {'lmfdb_iso': '59290.p', 'p': 31, 'prec': 20, 'unit': 15410420535639313152728088226, 'val': 1}
  • id: 3011053
    {'lmfdb_iso': '59290.p', 'p': 37, 'prec': 20, 'unit': 217257386466051098140371390493, 'val': 1}
  • id: 3011055
    {'lmfdb_iso': '59290.p', 'p': 41, 'prec': 20, 'unit': 48994435725901928182583065904, 'val': 1}
  • id: 3011056
    {'lmfdb_iso': '59290.p', 'p': 43, 'prec': 20, 'unit': 32880365696496675157510004791, 'val': 2}
  • id: 3011065
    {'lmfdb_iso': '59290.p', 'p': 47, 'prec': 20, 'unit': 57919084967020947971960667602935, 'val': 1}
  • id: 3011062
    {'lmfdb_iso': '59290.p', 'p': 53, 'prec': 20, 'unit': 204548226761336103999022415878390, 'val': 1}
  • id: 3011060
    {'lmfdb_iso': '59290.p', 'p': 59, 'prec': 20, 'unit': 564018974590541872159531921199364, 'val': 1}
  • id: 3011066
    {'lmfdb_iso': '59290.p', 'p': 61, 'prec': 20, 'unit': 8040196264213542507489399454318187, 'val': 1}
  • id: 3011052
    {'lmfdb_iso': '59290.p', 'p': 67, 'prec': 20, 'unit': 20445598759476022368927047090574181, 'val': 1}
  • id: 3011054
    {'lmfdb_iso': '59290.p', 'p': 71, 'prec': 20, 'unit': 2622998549843818823007456978518107, 'val': 1}
  • id: 3011063
    {'lmfdb_iso': '59290.p', 'p': 73, 'prec': 20, 'unit': 227175203741035663436361059453551785, 'val': 1}
  • id: 3011059
    {'lmfdb_iso': '59290.p', 'p': 79, 'prec': 20, 'unit': 95392328327670587774258855761814318, 'val': 1}
  • id: 3011051
    {'lmfdb_iso': '59290.p', 'p': 83, 'prec': 20, 'unit': 302077696786146137082703884722099851, 'val': 1}
  • id: 3011064
    {'lmfdb_iso': '59290.p', 'p': 89, 'prec': 20, 'unit': 1294738588938083914152160714248428920, 'val': 1}
  • id: 3011050
    {'lmfdb_iso': '59290.p', 'p': 97, 'prec': 20, 'unit': 17429363890921178853190381935309604313, 'val': 1}