Elliptic curve data - 35280.co2

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '35280dd', 'Clabel': '35280dd2', 'Cnumber': 2, 'abc_quality': 1.1038759097637456, 'absD': 11760948024170604134400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, -2512083, 5438102418], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35280, 'degree': 2580480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9182816764320111887755185846', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 66, 'isogeny_degrees': [1, 2], 'jinv': [-134745327251163, 903920796800], 'lmfdb_iso': '35280.co', 'lmfdb_label': '35280.co2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3204, 248528], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '280.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.8318150945293220006784489374', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 6, 3920], [5, 6, 7056], [7, 32, 720]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97752634917738180395679878219', 'prec': 103}, 'szpiro_ratio': 5.573119953835439, '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, 4, 0, -6, 0, 0, 0, -4, 0, 6, 0], 'aplist': [0, 0, -1, 0, 4, -6, -4, 6, 0, -6, -4, 8, -10, 2, 10, 14, -4, 8, -6, 2, 10, -16, -8, -2, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 35280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35280.co', 'trace_hash': 134588847183228106}
• 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': '0.0029188564886924235450472829161', 'prec': 110}, 'conductor': 35280, 'gens': [[8274, 742350, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.8318150945293220006784489374', 'prec': 100}], 'lmfdb_label': '35280.co2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10946952784217715803173748767', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1072483588880530361780511530875046129', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-2226, 0, 1]], 'xcoord_integral_points': [-2226, 8274]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35280.co2'}
• ec_torsion_growth •

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

  
  
  • id: 1750023
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '35280.co2', 'torsion': [2, 2]}
  • id: 1750024
    {'degree': 4, 'field': [-6, 0, 9, 0, 1], 'lmfdb_label': '35280.co2', 'torsion': [4]}
  • id: 1750027
    {'degree': 8, 'field': [-9819, -8910, -4338, -1692, -348, -54, -12, 0, 1], 'lmfdb_label': '35280.co2', 'torsion': [6]}
  • id: 1750026
    {'degree': 8, 'field': [576, 0, 1512, 0, 393, 0, 42, 0, 1], 'lmfdb_label': '35280.co2', 'torsion': [2, 4]}
  • id: 1750025
    {'degree': 8, 'field': [3025, 0, 3460, 0, 1074, 0, -68, 0, 1], 'lmfdb_label': '35280.co2', 'torsion': [2, 4]}
  • id: 1750029
    {'degree': 16, 'field': [18225, 0, 69984, 0, 34020, 0, 43092, 0, 10962, 0, 0, 0, 0, 0, 12, 0, 1], 'lmfdb_label': '35280.co2', 'torsion': [2, 6]}
  • id: 1750028
    {'degree': 16, 'field': [254016, 0, 317520, 0, 112644, 0, 113400, 0, -31104, 0, -4140, 0, -51, 0, 30, 0, 1], 'lmfdb_label': '35280.co2', '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: 829486
    {'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '35280.co2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 829487
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '35280.co2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 829488
    {'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35280.co2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 829489
    {'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '35280.co2', '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: 1899747
    {'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [241, 4, 482, 9], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 35280, 'lmfdb_label': '35280.co2', 'prime': 0}
  • id: 156617
    {'conductor': 35280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35280.co2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1730500
    {'lmfdb_iso': '35280.co', 'p': 11, 'prec': 20, 'unit': 37227154068314732334, 'val': 1}
  • id: 1730506
    {'lmfdb_iso': '35280.co', 'p': 13, 'prec': 20, 'unit': 457589383069810761058, 'val': 1}
  • id: 1730508
    {'lmfdb_iso': '35280.co', 'p': 17, 'prec': 20, 'unit': 40785217315281980836576, 'val': 1}
  • id: 1730509
    {'lmfdb_iso': '35280.co', 'p': 19, 'prec': 20, 'unit': 837476767567097560758895, 'val': 1}
  • id: 1730505
    {'lmfdb_iso': '35280.co', 'p': 29, 'prec': 20, 'unit': 1628882952259713116676090266, 'val': 1}
  • id: 1730517
    {'lmfdb_iso': '35280.co', 'p': 31, 'prec': 20, 'unit': 10748584259236091505554916129, 'val': 1}
  • id: 1730501
    {'lmfdb_iso': '35280.co', 'p': 37, 'prec': 20, 'unit': 287523993731319218929713361424, 'val': 1}
  • id: 1730503
    {'lmfdb_iso': '35280.co', 'p': 41, 'prec': 20, 'unit': 2037628147149829874916867299059, 'val': 1}
  • id: 1730504
    {'lmfdb_iso': '35280.co', 'p': 43, 'prec': 20, 'unit': 4783408487946194827673059588445, 'val': 1}
  • id: 1730515
    {'lmfdb_iso': '35280.co', 'p': 47, 'prec': 20, 'unit': 11071153054957526026919440640758, 'val': 1}
  • id: 1730510
    {'lmfdb_iso': '35280.co', 'p': 53, 'prec': 20, 'unit': 556406018141731102105914171878996, 'val': 1}
  • id: 1730511
    {'lmfdb_iso': '35280.co', 'p': 59, 'prec': 20, 'unit': 2119104421435722943376422883396789, 'val': 1}
  • id: 1730516
    {'lmfdb_iso': '35280.co', 'p': 61, 'prec': 20, 'unit': 2043468401312058178326331070479984, 'val': 1}
  • id: 1730499
    {'lmfdb_iso': '35280.co', 'p': 67, 'prec': 20, 'unit': 36629311002020065610259786984781674, 'val': 1}
  • id: 1730502
    {'lmfdb_iso': '35280.co', 'p': 71, 'prec': 20, 'unit': 54781145073077638448706209807861726, 'val': 1}
  • id: 1730512
    {'lmfdb_iso': '35280.co', 'p': 73, 'prec': 20, 'unit': 120817070609992657960941232459886717, 'val': 1}
  • id: 1730507
    {'lmfdb_iso': '35280.co', 'p': 79, 'prec': 20, 'unit': 254373502056500193631993641320816598, 'val': 1}
  • id: 1730513
    {'lmfdb_iso': '35280.co', 'p': 83, 'prec': 20, 'unit': 846866709621205072857549850391066975, 'val': 1}
  • id: 1730514
    {'lmfdb_iso': '35280.co', 'p': 89, 'prec': 20, 'unit': 6148975322906284769051054343110325319, 'val': 1}
  • id: 1730498
    {'lmfdb_iso': '35280.co', 'p': 97, 'prec': 20, 'unit': 29765007871558307118895241787877771849, 'val': 1}