Elliptic curve data - 6270.g1

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• 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': '6270h', 'Clabel': '6270h2', 'Cnumber': 2, 'abc_quality': 1.0142678703563752, 'absD': 4342288500000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 25080, 'ainvs': [1, 0, 1, -4105679, 3201688802], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6270, 'degree': 107520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1862096880049403912672410812', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [7653825103704685955596009, 4342288500000], 'lmfdb_iso': '6270.g', 'lmfdb_label': '6270.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -4105679, 3201688802], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '264.6.0.?', '380.6.0.?', '25080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.95157301273905831560949521062', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1862096880049403912672410812', 'prec': 100}, 'szpiro_ratio': 6.553101214608256, '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, -2, -1, 1, 1, -1, 1, 2, 2, -1, 1, 2, -1, 1, -1], 'aplist': [-1, 1, -1, -2, -1, 2, 2, 1, -2, 4, -4, 2, -10, -8, 2, -6, -4, 6, 12, 6, 0, 6, 6, -12, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 6270, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6270.g', 'trace_hash': 94711659959569385}
• 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': '0.012620669456498757939525580070', 'prec': 107}, 'conductor': 6270, 'gens': [[576, 31774, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.95157301273905831560949521062', 'prec': 103}], 'lmfdb_label': '6270.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47598039406593989888322877323', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1705106831023543714496472578210987371', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [[4679, -4683, 2]], 'xcoord_integral_points': [576, 1170, 1200]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '6270.g1'}
• ec_torsion_growth •

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

  
  
  • id: 326335
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '6270.g1', 'torsion': [2, 2]}
  • id: 326336
    {'degree': 4, 'field': [594, 0, 39, 0, 1], 'lmfdb_label': '6270.g1', 'torsion': [4]}
  • id: 326338
    {'degree': 8, 'field': [-1968425, -222340, 111358, 33176, 379, -880, -98, -4, 1], 'lmfdb_label': '6270.g1', 'torsion': [2, 4]}
  • id: 326339
    {'degree': 8, 'field': [-990, -603, 486, 233, -113, -7, 7, -4, 1], 'lmfdb_label': '6270.g1', 'torsion': [6]}
  • id: 326337
    {'degree': 8, 'field': [2351086, 2417844, 1013446, 196944, 13959, -924, -182, 0, 1], 'lmfdb_label': '6270.g1', 'torsion': [2, 4]}
  • id: 326341
    {'degree': 16, 'field': [205230744576, 0, 13832007552, 0, -2631302784, 0, -122211936, 0, 9740016, 0, -192984, 0, 8316, 0, -132, 0, 1], 'lmfdb_label': '6270.g1', 'torsion': [2, 6]}
  • id: 326340
    {'degree': 16, 'field': [2127195946236416, -512493899922048, -199025319316432, 392330435168, 11252569437248, 1326550349472, 3296694284, -16451181496, -1139199792, -52289648, 6431481, 917470, 83083, -3116, -393, -2, 1], 'lmfdb_label': '6270.g1', 'torsion': [8]}
• 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: 125275
    {'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '6270.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 125276
    {'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '6270.g1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 125277
    {'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '6270.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 125278
    {'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6270.g1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 125279
    {'conductor': 6270, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6270.g1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1705040
    {'adelic_gens': [[22441, 4, 19802, 9], [1, 2, 2, 5], [1, 4, 0, 1], [8362, 1, 8359, 0], [2, 1, 12539, 0], [25077, 4, 25076, 5], [5017, 4, 10034, 9], [1, 0, 4, 1], [3, 4, 8, 11], [3137, 21946, 21944, 3135], [18242, 1, 15959, 0]], 'adelic_image': '25080.12.0.?', 'conductor': 6270, 'lmfdb_label': '6270.g1', 'prime': 0}
  • id: 30734
    {'conductor': 6270, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6270.g1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 245019
    {'lmfdb_iso': '6270.g', 'p': 7, 'prec': 20, 'unit': 68044104222718541, 'val': 0}
  • id: 245023
    {'lmfdb_iso': '6270.g', 'p': 13, 'prec': 20, 'unit': 597187460186494835766, 'val': 1}
  • id: 245025
    {'lmfdb_iso': '6270.g', 'p': 17, 'prec': 20, 'unit': 54407008843803701554414, 'val': 1}
  • id: 245029
    {'lmfdb_iso': '6270.g', 'p': 23, 'prec': 20, 'unit': 16344265225742418832353381, 'val': 1}
  • id: 245022
    {'lmfdb_iso': '6270.g', 'p': 29, 'prec': 20, 'unit': 4721364554846992914520518475, 'val': 1}
  • id: 245034
    {'lmfdb_iso': '6270.g', 'p': 31, 'prec': 20, 'unit': 19017246002562436637550932171, 'val': 1}
  • id: 245018
    {'lmfdb_iso': '6270.g', 'p': 37, 'prec': 20, 'unit': 170965179156190849345428390619, 'val': 1}
  • id: 245020
    {'lmfdb_iso': '6270.g', 'p': 41, 'prec': 20, 'unit': 576244862400986503447698725898, 'val': 1}
  • id: 245021
    {'lmfdb_iso': '6270.g', 'p': 43, 'prec': 20, 'unit': 6152870970049454936282469519972, 'val': 1}
  • id: 245032
    {'lmfdb_iso': '6270.g', 'p': 47, 'prec': 20, 'unit': 33085882263073761894064068280334, 'val': 1}
  • id: 245027
    {'lmfdb_iso': '6270.g', 'p': 53, 'prec': 20, 'unit': 727362864260698370364840754855, 'val': 1}
  • id: 245028
    {'lmfdb_iso': '6270.g', 'p': 59, 'prec': 20, 'unit': 3116002696980708743392463255131188, 'val': 1}
  • id: 245033
    {'lmfdb_iso': '6270.g', 'p': 61, 'prec': 20, 'unit': 3405281335124222007757615769811004, 'val': 1}
  • id: 245017
    {'lmfdb_iso': '6270.g', 'p': 67, 'prec': 20, 'unit': 49112200585796081075399072228181213, 'val': 1}
  • id: 245031
    {'lmfdb_iso': '6270.g', 'p': 71, 'prec': 20, 'unit': 51124372314353525556832736663541050, 'val': 1}
  • id: 245024
    {'lmfdb_iso': '6270.g', 'p': 79, 'prec': 20, 'unit': 127407224600890297904079258055368340, 'val': 1}
  • id: 245026
    {'lmfdb_iso': '6270.g', 'p': 83, 'prec': 20, 'unit': 1472535579623194004467701979561795700, 'val': 1}
  • id: 245030
    {'lmfdb_iso': '6270.g', 'p': 89, 'prec': 20, 'unit': 10864912015663325931534487729475320276, 'val': 1}
  • id: 245016
    {'lmfdb_iso': '6270.g', 'p': 97, 'prec': 20, 'unit': 8900680706608375430321364859080233228, 'val': 1}