Elliptic curve data - 62790.v8

Formats: - HTML - YAML - JSON - 2024-05-02T11:35:36.846125

• 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': '62790w', 'Clabel': '62790w3', 'Cnumber': 3, 'abc_quality': 0.9993612630134305, 'absD': 6990401110687088640000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 251160, 'ainvs': [1, 0, 1, 1206257, -3990069694], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 62790, 'degree': 4976640, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8714839104253080785510131598', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [194108149567956675968279, 6990401110687088640000], 'lmfdb_iso': '62790.v', 'lmfdb_label': '62790.v8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1206257, -3990069694], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '40.12.0-4.c.1.4', '120.96.0.?', '276.96.0.?', '364.12.0.?', '1092.96.0.?', '2760.192.1.?', '3640.24.0.?', '10920.192.1.?', '12558.48.0.?', '25116.192.1.?', '251160.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.108593324196740606518272353', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8714839104253080785510131598', 'prec': 100}, 'szpiro_ratio': 5.226257335068601, '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, 1, 1, 1, -1, 1, -1, 1, -1, 0, 1, 1, -1, 1, 1, 6, -1, -4, 1], 'aplist': [-1, 1, 1, 1, 0, 1, 6, -4, -1, -6, 8, 2, -6, 8, 0, 6, -12, 2, -4, 0, 2, -4, -12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 62790, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '62790.v', 'trace_hash': 2013319179587856940}
• 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': '0.0032052415627701425043131043554', 'prec': 110}, 'conductor': 62790, 'gens': [[46265169, 278656735157, 152]], 'heights': [{'__RealLiteral__': 0, 'data': '18.108593324196740606518272353', 'prec': 100}], 'lmfdb_label': '62790.v8', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.063893039794265936627971834776', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9420784432864849734199069841147302968', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1335, -668, 1]], 'xcoord_integral_points': [1335]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [2, 1], '5': [4, 0], '7': [4, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 3, 0]}, 'iwp0': 0, 'lmfdb_label': '62790.v8'}
• ec_torsion_growth •

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

  
  
  • id: 3004931
    {'degree': 2, 'field': [-17, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [4]}
  • id: 3004933
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [6]}
  • id: 3004932
    {'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [4]}
  • id: 3004930
    {'degree': 2, 'field': [1570, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 2]}
  • id: 3004934
    {'degree': 3, 'field': [-195, 0, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [6]}
  • id: 3004937
    {'degree': 4, 'field': [36, -6, -5, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [12]}
  • id: 3004938
    {'degree': 4, 'field': [529, -23, -22, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [12]}
  • id: 3004935
    {'degree': 4, 'field': [1600, 0, 11, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 4]}
  • id: 3004936
    {'degree': 4, 'field': [273529, 523, 524, -1, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 6]}
  • id: 3004939
    {'degree': 6, 'field': [38416, -588, -579, 383, 6, -3, 1], 'lmfdb_label': '62790.v8', 'torsion': [3, 6]}
  • id: 3004941
    {'degree': 6, 'field': [43252, -21342, 1401, -289, -48, -3, 1], 'lmfdb_label': '62790.v8', 'torsion': [12]}
  • id: 3004942
    {'degree': 6, 'field': [63452, -27912, 1071, 251, 72, -3, 1], 'lmfdb_label': '62790.v8', 'torsion': [12]}
  • id: 3004940
    {'degree': 6, 'field': [3046875000, 0, 0, -108225, 0, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 6]}
  • id: 3004946
    {'degree': 8, 'field': [83521, 0, -16473, 0, 2960, 0, -57, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 12]}
  • id: 3004945
    {'degree': 8, 'field': [219158416, 0, -6920624, 0, 47676, 0, 556, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [8]}
  • id: 3004944
    {'degree': 8, 'field': [841998400, 397550400, 60350000, 3229200, -149484, -13800, -382, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [8]}
  • id: 3004943
    {'degree': 8, 'field': [105835745232, 20671737408, 1552200489, 51879492, 1234762, 65152, 1566, -2, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 4]}
  • id: 3004948
    {'degree': 12, 'field': [1726901136, -271900908, 61885053, -26335299, 1647684, -11889, 197731, -1884, 1959, -769, -12, -3, 1], 'lmfdb_label': '62790.v8', 'torsion': [3, 12]}
  • id: 3004950
    {'degree': 12, 'field': [3584791900, -5274506250, 1923483075, 52189410, 4496325, 14834430, 335081, 0, 5163, -780, 33, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 12]}
  • id: 3004949
    {'degree': 12, 'field': [4026156304, -1771072224, 711122652, -61746656, 3584409, 4097793, 29057, -3414, 4866, -718, -63, -3, 1], 'lmfdb_label': '62790.v8', 'torsion': [3, 12]}
  • id: 3004947
    {'degree': 12, 'field': [20366569948866064, 204517270378344, 119020490996400, -390501369398, 452199557391, -1808828907, 1001322077, -817266, 1640994, -796, 1575, -3, 1], 'lmfdb_label': '62790.v8', 'torsion': [6, 6]}
  • id: 3004956
    {'degree': 16, 'field': [3185853730816, 0, -670035679232, 0, 132487304960, 0, -2387356032, 0, 85098704, 0, 1563312, 0, 24860, 0, 172, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [24]}
  • id: 3004955
    {'degree': 16, 'field': [1101440091578401, 0, -6200150529950, 0, -4509910670171, 0, 119785084510, 0, 1725008956, 0, -41918630, 0, 115429, 0, 910, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [24]}
  • id: 3004953
    {'degree': 16, 'field': [5934853444000000, 0, -611972459904000, 0, 23587369686400, 0, -549832383360, 0, 14449666416, 0, 46997856, 0, 298456, 0, 456, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 8]}
  • id: 3004952
    {'degree': 16, 'field': [41995485184000000, 0, 5216148378624000, 0, 275408475726400, 0, 7852202232960, 0, 114222321216, 0, 367998096, 0, 912496, 0, 1056, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 8]}
  • id: 3004954
    {'degree': 16, 'field': [1972629238810240000, -1266648738994368000, 361892523415113600, -58292486919622080, 5674310575460464, -335809899022080, 12304022866596, -378224037360, 26988113361, -2188080570, 114008130, -6481356, 178171, -3204, 546, -6, 1], 'lmfdb_label': '62790.v8', 'torsion': [2, 12]}
  • id: 3004951
    {'degree': 16, 'field': [601021048077562890625, 0, 0, 0, 23358446551161250, 0, 0, 0, 239208186531, 0, 0, 0, 893218, 0, 0, 0, 1], 'lmfdb_label': '62790.v8', 'torsion': [4, 4]}
  • id: 3004957
    {'degree': 18, 'field': [183095616098304000000, 0, 0, -202106812078080000, 0, 0, 217835683665600, 0, 0, -120033151680, 0, 0, 49334953, 0, 0, -11098, 0, 0, 1], 'lmfdb_label': '62790.v8', '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: 1514916
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 36, 'j_denominator_valuation': 36, 'kodaira_symbol': 40, 'lmfdb_label': '62790.v8', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1514917
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62790.v8', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1514918
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62790.v8', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1514919
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '62790.v8', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1514920
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62790.v8', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1514921
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '62790.v8', 'prime': 23, '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: 2080235
    {'adelic_gens': [[251137, 24, 251136, 25], [15, 106, 249854, 241931], [1, 12, 12, 145], [179416, 3, 143061, 251074], [188377, 24, 188862, 1687], [52329, 10468, 240740, 198869], [10936, 21, 229035, 250786], [1, 24, 0, 1], [150697, 24, 50244, 289], [154576, 3, 212061, 251074], [1, 0, 24, 1], [83736, 41873, 126311, 594]], 'adelic_image': '251160.384.5.?', 'conductor': 62790, 'lmfdb_label': '62790.v8', 'prime': 0}
  • id: 264194
    {'conductor': 62790, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62790.v8', 'modell_image': '2B', 'prime': 2}
  • id: 264195
    {'conductor': 62790, 'elladic_image': '3.8.0.2', 'lmfdb_label': '62790.v8', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3195631
    {'lmfdb_iso': '62790.v', 'p': 17, 'prec': 20, 'unit': 108160940583514003054829, 'val': 1}
  • id: 3195623
    {'lmfdb_iso': '62790.v', 'p': 19, 'prec': 20, 'unit': 1723859211856979331823371, 'val': 1}
  • id: 3195629
    {'lmfdb_iso': '62790.v', 'p': 29, 'prec': 20, 'unit': 3870091345451083393995049062, 'val': 1}
  • id: 3195638
    {'lmfdb_iso': '62790.v', 'p': 31, 'prec': 20, 'unit': 15706194313591703515612900810, 'val': 1}
  • id: 3195626
    {'lmfdb_iso': '62790.v', 'p': 37, 'prec': 20, 'unit': 401245574036357493308166136124, 'val': 1}
  • id: 3195627
    {'lmfdb_iso': '62790.v', 'p': 41, 'prec': 20, 'unit': 27539141627028431462377256086, 'val': 2}
  • id: 3195628
    {'lmfdb_iso': '62790.v', 'p': 43, 'prec': 20, 'unit': 1455645670864523139438562332532, 'val': 1}
  • id: 3195633
    {'lmfdb_iso': '62790.v', 'p': 53, 'prec': 20, 'unit': 539714667821865771585383071918373, 'val': 1}
  • id: 3195636
    {'lmfdb_iso': '62790.v', 'p': 59, 'prec': 20, 'unit': 23203224687845117484127347727193, 'val': 2}
  • id: 3195637
    {'lmfdb_iso': '62790.v', 'p': 61, 'prec': 20, 'unit': 3605240177634215702406095902037711, 'val': 1}
  • id: 3195625
    {'lmfdb_iso': '62790.v', 'p': 67, 'prec': 20, 'unit': 20562755905291245053560646540280701, 'val': 1}
  • id: 3195634
    {'lmfdb_iso': '62790.v', 'p': 73, 'prec': 20, 'unit': 242786590620970707100976735285210393, 'val': 1}
  • id: 3195630
    {'lmfdb_iso': '62790.v', 'p': 79, 'prec': 20, 'unit': 771082510224881157312242567323025813, 'val': 1}
  • id: 3195632
    {'lmfdb_iso': '62790.v', 'p': 83, 'prec': 20, 'unit': 265197913942063215697098004714918219, 'val': 1}
  • id: 3195635
    {'lmfdb_iso': '62790.v', 'p': 89, 'prec': 20, 'unit': 7439321633332508825308030651112294710, 'val': 1}
  • id: 3195624
    {'lmfdb_iso': '62790.v', 'p': 97, 'prec': 20, 'unit': 364141344602370845215313985916238398, 'val': 1}