Elliptic curve data - 70560.db2

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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': '70560du', 'Clabel': '70560du3', 'Cnumber': 3, 'abc_quality': 0.9800848356747126, 'absD': 34174629741790379520, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -987987, -252517286], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 70560, 'degree': 1179648, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4518066251030505194772836967', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2, 4], 'jinv': [2428799546888, 778248135], 'lmfdb_iso': '70560.db', 'lmfdb_label': '70560.db2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2240, -26520], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0.ba.1', '56.12.0-4.c.1.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '420.12.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '11.602389224198565767972575794', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40968502082138003916406061542', 'prec': 103}, 'szpiro_ratio': 4.7494481215449, '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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 1, 0, 0, -2, -2, 4, 8, 2, 4, -6, -6, 4, 0, -6, 0, -6, -4, 8, -10, -12, -4, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 70560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '70560.db', 'trace_hash': 1728570656295952745}
• 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': '0.0074197252543345902763692939214', 'prec': 110}, 'conductor': 70560, 'gens': [[-47046, 11359930, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '11.602389224198565767972575794', 'prec': 100}], 'lmfdb_label': '70560.db2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15527055817568944978507507261', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2060378040516631543381216850756225543', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-826, 0, 1]], 'xcoord_integral_points': [-826]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '70560.db2'}
• ec_torsion_growth •

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

  
  
  • id: 3354362
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [2, 2]}
  • id: 3354364
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [4]}
  • id: 3354363
    {'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [4]}
  • id: 3354365
    {'degree': 4, 'field': [121, 0, -8, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [2, 4]}
  • id: 3354366
    {'degree': 8, 'field': [-39584, 11520, 12256, 1920, 276, -240, -44, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [2, 4]}
  • id: 3354369
    {'degree': 8, 'field': [-14700, 0, 8064, 0, -1092, 0, -28, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [6]}
  • id: 3354367
    {'degree': 8, 'field': [900, 0, 1500, 0, 790, 0, 50, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [8]}
  • id: 3354368
    {'degree': 8, 'field': [6745, 1800, 1232, 528, 222, -24, -16, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [8]}
  • id: 3354371
    {'degree': 16, 'field': [14161, 0, 7086240, 0, 4446436, 0, 141120, 0, -71274, 0, 1440, 0, 196, 0, 0, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [2, 8]}
  • id: 3354375
    {'degree': 16, 'field': [1512900, 0, 4840400, 0, 3875200, 0, 1383144, 0, 124292, 0, 15904, 0, 1596, 0, 68, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [12]}
  • id: 3354370
    {'degree': 16, 'field': [6120676, 3562560, 1036800, -3393600, 2688436, -339120, 288000, -248640, 67221, -3720, 7200, -2160, 346, -120, 0, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [4, 4]}
  • id: 3354374
    {'degree': 16, 'field': [22090000, 0, 31660000, 0, 6487000, 0, -3245800, 0, 580925, 0, -54640, 0, 2494, 0, -56, 0, 1], 'lmfdb_label': '70560.db2', 'torsion': [12]}
  • id: 3354372
    {'degree': 16, 'field': [54021769, 10990160, 26603280, 2654056, 3092982, -616848, 246892, -62480, 69879, 9200, -1340, -2880, 414, 176, -12, -8, 1], 'lmfdb_label': '70560.db2', 'torsion': [2, 8]}
  • id: 3354373
    {'degree': 16, 'field': [367571250, 1051650000, -1105816500, 11844000, -93749400, 23974200, -10892700, 650880, -182820, 54300, -21444, -2184, 510, 60, -20, -4, 1], 'lmfdb_label': '70560.db2', 'torsion': [2, 6]}
• 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: 1710924
    {'conductor': 70560, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '70560.db2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1710925
    {'conductor': 70560, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '70560.db2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1710926
    {'conductor': 70560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '70560.db2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1710927
    {'conductor': 70560, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '70560.db2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2130973
    {'adelic_gens': [[833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [288, 833, 427, 414], [599, 0, 0, 839], [76, 119, 497, 594], [176, 483, 245, 722], [7, 6, 834, 835], [552, 7, 623, 636]], 'adelic_image': '840.48.0.?', 'conductor': 70560, 'lmfdb_label': '70560.db2', 'prime': 0}
  • id: 294000
    {'conductor': 70560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '70560.db2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3619004
    {'lmfdb_iso': '70560.db', 'p': 13, 'prec': 20, 'unit': 1308908937834477468194, 'val': 1}
  • id: 3619006
    {'lmfdb_iso': '70560.db', 'p': 17, 'prec': 20, 'unit': 234723853104718386551146, 'val': 1}
  • id: 3618996
    {'lmfdb_iso': '70560.db', 'p': 19, 'prec': 20, 'unit': 1061921110431458722238532, 'val': 1}
  • id: 3619010
    {'lmfdb_iso': '70560.db', 'p': 23, 'prec': 20, 'unit': 381132678719101302943461, 'val': 1}
  • id: 3619003
    {'lmfdb_iso': '70560.db', 'p': 29, 'prec': 20, 'unit': 1044783160174082694718277756, 'val': 1}
  • id: 3619013
    {'lmfdb_iso': '70560.db', 'p': 31, 'prec': 20, 'unit': 18673715519624155001876442052, 'val': 1}
  • id: 3618999
    {'lmfdb_iso': '70560.db', 'p': 37, 'prec': 20, 'unit': 8673689590786510993131423947, 'val': 1}
  • id: 3619001
    {'lmfdb_iso': '70560.db', 'p': 41, 'prec': 20, 'unit': 4315220061246510187405069404964, 'val': 1}
  • id: 3619002
    {'lmfdb_iso': '70560.db', 'p': 43, 'prec': 20, 'unit': 8178479293701857593192728986974, 'val': 1}
  • id: 3619008
    {'lmfdb_iso': '70560.db', 'p': 53, 'prec': 20, 'unit': 105658638506982322331611542940598, 'val': 1}
  • id: 3619012
    {'lmfdb_iso': '70560.db', 'p': 61, 'prec': 20, 'unit': 4485139024387804283968688794019632, 'val': 1}
  • id: 3618998
    {'lmfdb_iso': '70560.db', 'p': 67, 'prec': 20, 'unit': 8314643319801335803874733987456283, 'val': 1}
  • id: 3619000
    {'lmfdb_iso': '70560.db', 'p': 71, 'prec': 20, 'unit': 72998240701823454287858112849085024, 'val': 1}
  • id: 3619009
    {'lmfdb_iso': '70560.db', 'p': 73, 'prec': 20, 'unit': 164497076333180303320666578261671032, 'val': 1}
  • id: 3619005
    {'lmfdb_iso': '70560.db', 'p': 79, 'prec': 20, 'unit': 63729652290118717498226758851029698, 'val': 1}
  • id: 3619007
    {'lmfdb_iso': '70560.db', 'p': 83, 'prec': 20, 'unit': 2512616460297631212633633521747989075, 'val': 1}
  • id: 3619011
    {'lmfdb_iso': '70560.db', 'p': 89, 'prec': 20, 'unit': 10589142736554057762927939378644129870, 'val': 1}
  • id: 3618997
    {'lmfdb_iso': '70560.db', 'p': 97, 'prec': 20, 'unit': 24193251810558741727063083016149630156, 'val': 1}