Elliptic curve data - 62790.v1

Formats: - HTML - YAML - JSON - 2024-05-01T09:32:08.345502

• 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': '62790w7', 'Cnumber': 7, 'abc_quality': 1.0127394271927954, 'absD': 36939806611960382108160, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 251160, 'ainvs': [1, 0, 1, -498774543, -4287535531454], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 23], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 62790, 'degree': 19906560, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5646310909852533879682452813', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [13722604572968640187892492722921, 36939806611960382108160], 'lmfdb_iso': '62790.v', 'lmfdb_label': '62790.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -498774543, -4287535531454], '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.1.1', '120.96.0.?', '276.96.0.?', '728.12.0.?', '2184.96.0.?', '2760.192.1.?', '3640.24.0.?', '10920.192.1.?', '50232.192.1.?', '251160.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 0, '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': '3.5646310909852533879682452813', 'prec': 100}, 'szpiro_ratio': 6.4898181104698365, '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': '0.00080131039069253562607827608884', 'prec': 113}, 'conductor': 62790, 'gens': [[-11004830003, 2697025300117, 924]], 'heights': [{'__RealLiteral__': 0, 'data': '18.108593324196740606518272353', 'prec': 100}], 'lmfdb_label': '62790.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.031946519897132968313985917388', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9420784432864849734199069841147302968', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-51641, 51637, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '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.v1'}
• ec_torsion_growth •

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

  
  
  • id: 3005011
    {'degree': 2, 'field': [-690, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 2]}
  • id: 3005014
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '62790.v1', 'torsion': [6]}
  • id: 3005013
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [4]}
  • id: 3005012
    {'degree': 2, 'field': [69, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [4]}
  • id: 3005015
    {'degree': 3, 'field': [-195, 0, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [6]}
  • id: 3005019
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [12]}
  • id: 3005018
    {'degree': 4, 'field': [529, 0, 23, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [12]}
  • id: 3005016
    {'degree': 4, 'field': [3481, 0, 158, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 4]}
  • id: 3005017
    {'degree': 4, 'field': [52900, 0, -230, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 6]}
  • id: 3005021
    {'degree': 6, 'field': [-328470975, -807300, 1428300, -390, -2070, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 6]}
  • id: 3005020
    {'degree': 6, 'field': [38416, -588, -579, 383, 6, -3, 1], 'lmfdb_label': '62790.v1', 'torsion': [3, 6]}
  • id: 3005023
    {'degree': 6, 'field': [39025, 11700, 300, -390, 30, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [12]}
  • id: 3005022
    {'degree': 6, 'field': [366534, 80730, 14283, -390, 207, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [12]}
  • id: 3005027
    {'degree': 8, 'field': [159201, 0, 46254, 0, 3727, 0, 26, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 12]}
  • id: 3005024
    {'degree': 8, 'field': [37332100, 0, -749200, 0, -11820, 0, -40, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 4]}
  • id: 3005025
    {'degree': 8, 'field': [95257600, 0, -1531660, 0, 23784, 0, -247, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [8]}
  • id: 3005026
    {'degree': 8, 'field': [2011522500, 0, 35880000, 0, 186910, 0, 240, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [8]}
  • id: 3005029
    {'degree': 12, 'field': [668636164, 695838780, 683111454, 22536930, -6192129, 4332510, 313319, 0, 3174, -780, 69, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [3, 12]}
  • id: 3005030
    {'degree': 12, 'field': [1522950625, -456592500, 125182500, -33949500, 3482250, 819000, 221150, 0, 600, -780, -30, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [3, 12]}
  • id: 3005031
    {'degree': 12, 'field': [130867876216, 80347307040, 12562348164, 1006049460, 242979585, 3374280, 7472450, 0, 85335, -780, 474, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 12]}
  • id: 3005028
    {'degree': 12, 'field': [148962635250625, -3284372227500, -1864522657500, -52226089500, 16869171750, 433251000, -84940850, 0, 317400, -780, -690, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [6, 6]}
  • id: 3005035
    {'degree': 16, 'field': [243339738876, 25952049792, -23133208464, -5489061552, 2373702846, 442965696, -144278256, -2896656, 743947, -40256, 35824, -16064, 3466, -392, 76, -8, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 12]}
  • id: 3005032
    {'degree': 16, 'field': [1511283118800625, 0, 0, 0, -838864746500, 0, 0, 0, 250639350, 0, 0, 0, -24740, 0, 0, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [4, 4]}
  • id: 3005036
    {'degree': 16, 'field': [9074010357760000, 0, 145902255616000, 0, 80375597200, 0, -10628252960, 0, 92101036, 0, 2811328, 0, 37225, 0, 247, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [24]}
  • id: 3005033
    {'degree': 16, 'field': [12816413532160000, 0, -586172138496000, 0, 14105727059200, 0, -179040603840, 0, 1567464516, 0, -12492036, 0, 86677, 0, -414, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 8]}
  • id: 3005037
    {'degree': 16, 'field': [4046222768006250000, 0, -72173427300000000, 0, 911400729525000, 0, -5740800000000, 0, 24312625600, 0, 26901600, 0, -129310, 0, -240, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [24]}
  • id: 3005034
    {'degree': 16, 'field': [8922515644716900625, 0, 222624171211907500, 0, 2159254100541500, 0, 11079732081000, 0, 30401279975, 0, -56489400, 0, -267460, 0, 220, 0, 1], 'lmfdb_label': '62790.v1', 'torsion': [2, 8]}
  • id: 3005038
    {'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.v1', '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: 1514940
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '62790.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1514941
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62790.v1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1514942
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62790.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1514943
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '62790.v1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 1514944
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62790.v1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1514945
    {'conductor': 62790, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '62790.v1', '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: 2080228
    {'adelic_gens': [[251137, 24, 251136, 25], [15, 106, 249854, 241931], [1, 12, 12, 145], [62791, 24, 62802, 289], [150712, 3, 150237, 251074], [52326, 10489, 115115, 73256], [215281, 24, 71772, 289], [10936, 21, 229035, 250786], [1, 24, 0, 1], [135241, 24, 115932, 289], [1, 0, 24, 1], [83736, 41873, 126311, 594]], 'adelic_image': '251160.384.5.?', 'conductor': 62790, 'lmfdb_label': '62790.v1', 'prime': 0}
  • id: 264180
    {'conductor': 62790, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62790.v1', 'modell_image': '2B', 'prime': 2}
  • id: 264181
    {'conductor': 62790, 'elladic_image': '3.8.0.2', 'lmfdb_label': '62790.v1', '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}