Elliptic curve data - 6930.p1

Formats: - HTML - YAML - JSON - 2024-04-16T10:33:53.838581

• 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': '6930q', 'Clabel': '6930q3', 'Cnumber': 3, 'abc_quality': 1.0868862125218777, 'absD': 30564418500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -218349, 39325905], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6930, 'degree': 41472, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5260163452342802124823922868', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1579250141304807889, 41926500], 'lmfdb_iso': '6930.p', 'lmfdb_label': '6930.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24261, -1456515], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '24.48.0-24.cc.1.15', '770.6.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9723903854692943259317148835', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97671020090022536678476966834', 'prec': 103}, 'szpiro_ratio': 5.483634807787419, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 1, -1, 0, -1, 1, 0, -4, -1, 0, 1, 0, 0, 8, 1], 'aplist': [-1, 0, 1, 1, 1, -4, 0, 8, -6, -6, -4, 8, -6, -4, -12, -6, 12, -10, -10, 0, 14, 8, 0, 12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 6930, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '6930.p', 'trace_hash': 347845622162890031}
• 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': '0.047262756130196053072357093027', 'prec': 107}, 'conductor': 6930, 'gens': [[264, 39, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9723903854692943259317148835', 'prec': 100}], 'lmfdb_label': '6930.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.85598740585941022926486151076', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3766826587998068612229752735106838971', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[216, 1377, 1]], 'xcoord_integral_points': [-114, 216, 264, 270, 271, 279, 711]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [4, 0], '7': [2, 0], '11': [2, 0], '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [3, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6930.p1'}
• ec_torsion_growth •

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

  
  
  • id: 363953
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '6930.p1', 'torsion': [2, 6]}
  • id: 363954
    {'degree': 4, 'field': [127, -12, -16, 0, 1], 'lmfdb_label': '6930.p1', 'torsion': [12]}
  • id: 363955
    {'degree': 6, 'field': [2352, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '6930.p1', 'torsion': [3, 6]}
  • id: 363957
    {'degree': 8, 'field': [322975, -12800, 14180, -2780, 1441, -64, 26, -4, 1], 'lmfdb_label': '6930.p1', 'torsion': [2, 12]}
  • id: 363956
    {'degree': 8, 'field': [2864640, 4043520, 1828480, 340000, 25136, -548, -211, -2, 1], 'lmfdb_label': '6930.p1', 'torsion': [2, 12]}
  • id: 363958
    {'degree': 9, 'field': [-13383468, -2000376, 571536, -258930, -4914, -2268, -701, 51, 0, 1], 'lmfdb_label': '6930.p1', 'torsion': [18]}
  • id: 363959
    {'degree': 12, 'field': [188051455201, 2352112176, 2385434793, -1613154740, 26118000, -7156044, 2352939, 32382, -16164, 3562, 21, -6, 1], 'lmfdb_label': '6930.p1', 'torsion': [6, 6]}
  • id: 363960
    {'degree': 16, 'field': [2998693692, 2362828896, 199875168, -361635696, -89595642, 21553296, 6595608, -1373808, -354509, 85192, 18520, -2480, -38, 16, 52, -8, 1], 'lmfdb_label': '6930.p1', 'torsion': [24]}
  • id: 363961
    {'degree': 18, 'field': [-2130604759260, -1049507809740, 1533494302020, -540475055010, 55330562160, -170604539190, 10206640871, 10887546366, 2813910594, -349948775, -34131075, -21575694, -353709, 235914, -21615, 2765, 174, -6, 1], 'lmfdb_label': '6930.p1', 'torsion': [2, 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: 141432
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.p1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 141433
    {'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '6930.p1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 141434
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6930.p1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 141435
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.p1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 141436
    {'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '6930.p1', 'prime': 11, 'reduction_type': 1, '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: 1709803
    {'adelic_gens': [[6610, 3, 5253, 9232], [4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [6555, 5008, 6518, 4997], [1, 12, 0, 1], [3079, 9228, 7694, 9167], [10, 3, 1821, 9232]], 'adelic_image': '9240.96.1.?', 'conductor': 6930, 'lmfdb_label': '6930.p1', 'prime': 0}
  • id: 34262
    {'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.p1', 'modell_image': '2B', 'prime': 2}
  • id: 34263
    {'conductor': 6930, 'elladic_image': '3.8.0.1', 'lmfdb_label': '6930.p1', 'modell_image': '3B.1.1', 'prime': 3}
• ec_padic •

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

  
  
  • id: 278833
    {'lmfdb_iso': '6930.p', 'p': 13, 'prec': 20, 'unit': 99737061716202058192, 'val': 2}
  • id: 278836
    {'lmfdb_iso': '6930.p', 'p': 19, 'prec': 20, 'unit': 748099971513236526835588, 'val': 1}
  • id: 278839
    {'lmfdb_iso': '6930.p', 'p': 23, 'prec': 20, 'unit': 16411247816125920722828745, 'val': 1}
  • id: 278832
    {'lmfdb_iso': '6930.p', 'p': 29, 'prec': 20, 'unit': 15719922830990956196899181, 'val': 2}
  • id: 278843
    {'lmfdb_iso': '6930.p', 'p': 31, 'prec': 20, 'unit': 81732196949663385914988619, 'val': 2}
  • id: 278829
    {'lmfdb_iso': '6930.p', 'p': 37, 'prec': 20, 'unit': 208566006203679985449571533925, 'val': 1}
  • id: 278830
    {'lmfdb_iso': '6930.p', 'p': 41, 'prec': 20, 'unit': 56696913966395132022861271474, 'val': 2}
  • id: 278831
    {'lmfdb_iso': '6930.p', 'p': 43, 'prec': 20, 'unit': 4732099431175365009264742335113, 'val': 1}
  • id: 278841
    {'lmfdb_iso': '6930.p', 'p': 47, 'prec': 20, 'unit': 8140727872503610316479061978121, 'val': 1}
  • id: 278837
    {'lmfdb_iso': '6930.p', 'p': 53, 'prec': 20, 'unit': 552808263192962549557596515996760, 'val': 1}
  • id: 278835
    {'lmfdb_iso': '6930.p', 'p': 59, 'prec': 20, 'unit': 662815120216425184140696419518545, 'val': 1}
  • id: 278842
    {'lmfdb_iso': '6930.p', 'p': 61, 'prec': 20, 'unit': 3675461671421381065713778357751850, 'val': 1}
  • id: 278828
    {'lmfdb_iso': '6930.p', 'p': 67, 'prec': 20, 'unit': 7722426128035785274452527762340702, 'val': 1}
  • id: 278838
    {'lmfdb_iso': '6930.p', 'p': 73, 'prec': 20, 'unit': 122927099906305404023092147214057476, 'val': 1}
  • id: 278834
    {'lmfdb_iso': '6930.p', 'p': 79, 'prec': 20, 'unit': 934381262165918131176994085249410208, 'val': 1}
  • id: 278840
    {'lmfdb_iso': '6930.p', 'p': 89, 'prec': 20, 'unit': 2416714057141794644936642099599651098, 'val': 1}
  • id: 278827
    {'lmfdb_iso': '6930.p', 'p': 97, 'prec': 20, 'unit': 17653881539642064918253418465025534666, 'val': 1}