Elliptic curve data - 83790.c2

Formats: - HTML - YAML - JSON - 2024-05-05T14:11:43.404213

• 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': '83790bj', 'Clabel': '83790bj2', 'Cnumber': 2, 'abc_quality': 1.0425519890633115, 'absD': 76028578686144000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 7980, 'ainvs': [1, -1, 0, -183011040, 952982348800], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 83790, 'degree': 16588800, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2393144956132771383920904368', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [7903870428425797297009, 886464000000], 'lmfdb_iso': '83790.c', 'lmfdb_label': '83790.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -414991, 102863225], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '60.24.0.t.1', '76.6.0.?', '228.24.0.?', '420.48.0.?', '1140.48.1.?', '1596.48.0.?', '7980.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5733262379600816776638958717', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7170532767515656401417914466', 'prec': 100}, 'szpiro_ratio': 6.059311606503581, '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, 0, -1, 0, 1, -6, 0, 4, 0, 0, 1, -6, 0, -1, -1], 'aplist': [-1, 0, -1, 0, -6, 4, -6, -1, 0, 0, -8, 8, -12, 2, 0, 6, -12, -2, -16, 0, 10, 8, 0, -12, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 83790, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '83790.c', 'trace_hash': 1792835165577879300}
• 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': '0.0015359149894067982838483488880', 'prec': 110}, 'conductor': 83790, 'gens': [[7808, -3616, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5733262379600816776638958717', 'prec': 100}], 'lmfdb_label': '83790.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14967419633156296605226470297', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0812842925247966822146829994883139744', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[31235, -31235, 2]], 'xcoord_integral_points': [7808, 33891, 131840]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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': '83790.c2'}
• ec_torsion_growth •

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

  
  
  • id: 3930662
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 2]}
  • id: 3930663
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '83790.c2', 'torsion': [6]}
  • id: 3930665
    {'degree': 4, 'field': [177, 48, -47, -2, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 6]}
  • id: 3930664
    {'degree': 4, 'field': [204, 27, 25, -1, 1], 'lmfdb_label': '83790.c2', 'torsion': [4]}
  • id: 3930666
    {'degree': 6, 'field': [368, -340, 34, 33, -7, -1, 1], 'lmfdb_label': '83790.c2', 'torsion': [6]}
  • id: 3930669
    {'degree': 8, 'field': [36, 72, 102, 48, 103, -57, 22, -3, 1], 'lmfdb_label': '83790.c2', 'torsion': [12]}
  • id: 3930667
    {'degree': 8, 'field': [938961, 0, -450528, 0, 7315, 0, -152, 0, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 4]}
  • id: 3930668
    {'degree': 8, 'field': [1052676, 0, 25137, 0, 2563, 0, 7, 0, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 4]}
  • id: 3930671
    {'degree': 12, 'field': [254, 1062, 147, -2540, 1635, -618, 543, -366, 195, -80, 27, -6, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 6]}
  • id: 3930670
    {'degree': 12, 'field': [400, -1560, 2288, -1014, 327, 21, -167, 90, 6, 12, -1, -3, 1], 'lmfdb_label': '83790.c2', 'torsion': [3, 6]}
  • id: 3930673
    {'degree': 16, 'field': [774153, -3526020, -5002452, 13730844, -7477994, 13754024, 2411332, -1132476, -143249, -82688, -20276, 9652, 2506, -228, -88, 0, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 12]}
  • id: 3930674
    {'degree': 16, 'field': [39141225, -55849500, 15817365, 3871890, 209181, -955176, 123454, 20812, 42042, 6344, 3554, -528, 209, -16, 9, -2, 1], 'lmfdb_label': '83790.c2', 'torsion': [2, 12]}
  • id: 3930672
    {'degree': 16, 'field': [6598182336, 843158976, -1165284480, 567783360, 360080764, -61347404, -14146438, 11691300, 1638871, -471544, -66923, 7922, 3094, -288, -49, -2, 1], 'lmfdb_label': '83790.c2', 'torsion': [8]}
  • id: 3930675
    {'degree': 18, 'field': [-1641477, 5272578, -7021791, 4969788, -3012228, 198936, 2622988, -2221116, 624522, 6532, -50058, 24804, -10308, 3240, -612, 28, 3, -6, 1], 'lmfdb_label': '83790.c2', '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: 2040768
    {'conductor': 83790, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '83790.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2040769
    {'conductor': 83790, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '83790.c2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2040770
    {'conductor': 83790, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '83790.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2040771
    {'conductor': 83790, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '83790.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2040772
    {'conductor': 83790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '83790.c2', 'prime': 19, '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: 2215774
    {'adelic_gens': [[4171, 5698, 756, 7979], [11, 2, 7930, 7971], [7969, 12, 7968, 13], [1, 0, 12, 1], [666, 1057, 665, 3326], [4390, 3423, 7413, 5692], [1, 6, 6, 37], [2279, 0, 0, 7979], [1, 12, 0, 1], [1597, 5712, 462, 2353]], 'adelic_image': '7980.96.1.?', 'conductor': 83790, 'lmfdb_label': '83790.c2', 'prime': 0}
  • id: 342477
    {'conductor': 83790, 'elladic_image': '2.3.0.1', 'lmfdb_label': '83790.c2', 'modell_image': '2B', 'prime': 2}
  • id: 342478
    {'conductor': 83790, 'elladic_image': '3.4.0.1', 'lmfdb_label': '83790.c2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4319229
    {'lmfdb_iso': '83790.c', 'p': 11, 'prec': 20, 'unit': 47029612607333131559, 'val': 1}
  • id: 4319230
    {'lmfdb_iso': '83790.c', 'p': 13, 'prec': 20, 'unit': 662925504204650139475, 'val': 1}
  • id: 4319232
    {'lmfdb_iso': '83790.c', 'p': 17, 'prec': 20, 'unit': 91799928053405157380185, 'val': 1}
  • id: 4319239
    {'lmfdb_iso': '83790.c', 'p': 31, 'prec': 20, 'unit': 15321978219381515081319454036, 'val': 1}
  • id: 4319227
    {'lmfdb_iso': '83790.c', 'p': 37, 'prec': 20, 'unit': 364283072348923906050321312500, 'val': 1}
  • id: 4319228
    {'lmfdb_iso': '83790.c', 'p': 41, 'prec': 20, 'unit': 578576663000740790874192534023, 'val': 1}
  • id: 4319226
    {'lmfdb_iso': '83790.c', 'p': 43, 'prec': 20, 'unit': 5756414937454764093065383515404, 'val': 1}
  • id: 4319234
    {'lmfdb_iso': '83790.c', 'p': 53, 'prec': 20, 'unit': 217092504531281927659948662771399, 'val': 1}
  • id: 4319237
    {'lmfdb_iso': '83790.c', 'p': 59, 'prec': 20, 'unit': 1558424663521894131704576798857214, 'val': 1}
  • id: 4319238
    {'lmfdb_iso': '83790.c', 'p': 61, 'prec': 20, 'unit': 639282525732362260681033643975217, 'val': 1}
  • id: 4319233
    {'lmfdb_iso': '83790.c', 'p': 67, 'prec': 20, 'unit': 24699633522718938426011488786932504, 'val': 1}
  • id: 4319235
    {'lmfdb_iso': '83790.c', 'p': 73, 'prec': 20, 'unit': 146174553844223218561974579807726593, 'val': 1}
  • id: 4319231
    {'lmfdb_iso': '83790.c', 'p': 79, 'prec': 20, 'unit': 990968103909668766086518631562421438, 'val': 1}
  • id: 4319236
    {'lmfdb_iso': '83790.c', 'p': 89, 'prec': 20, 'unit': 3726265029105311100126976320439841640, 'val': 1}
  • id: 4319225
    {'lmfdb_iso': '83790.c', 'p': 97, 'prec': 20, 'unit': 47390186667281384789913211245325188617, 'val': 1}