Elliptic curve data - 405.e1

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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': '405c', 'Clabel': '405c2', 'Cnumber': 2, 'abc_quality': 1.0070302306950922, 'absD': 6328125, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 1260, 'ainvs': [1, -1, 0, -225, -1250], 'analytic_rank': 1, 'bad_primes': [3, 5], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 405, 'degree': 84, 'elladic_images': ['7.16.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.15236521624925116198649189908', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 4, 'isogeny_degrees': [1, 7], 'jinv': [-15590912409, 78125], 'lmfdb_iso': '405.e', 'lmfdb_label': '405.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -2027, 35776], 'min_quad_twist_disc': -3, 'modell_images': ['7B.2.3'], 'modm_images': ['7.16.0-7.a.1.1', '20.2.0.a.1', '63.48.0-63.b.1.2', '140.32.0.?', '1260.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2742022972571501921033351837', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21383887997345206847858984656', 'prec': 107}, 'szpiro_ratio': 4.642496519972829, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, -3, 0, -1, -2, 0, -2, -3, 0, -1, 4, 0, -8, 1], 'aplist': [1, 0, -1, -3, -2, -2, 4, -8, 3, -1, 0, -4, 5, -8, 7, -2, -14, 7, -3, 2, 4, -6, 9, -15, 2], 'class_deg': 7, 'class_size': 2, 'conductor': 405, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '405.e', 'trace_hash': 724084082576346916}
• 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': '0.73732210568250336702631180547', 'prec': 103}, 'conductor': 405, 'gens': [[18, 8, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2742022972571501921033351837', 'prec': 100}], 'lmfdb_label': '405.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.61603207917456826852330912889', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0170136488174700562838887676961143407', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [18]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': 'a', '5': [5, 0], '7': [7, 1], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '405.e1'}
• ec_torsion_growth •

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

  
  
  • id: 17754
    {'degree': 3, 'field': [-8, -3, 0, 1], 'lmfdb_label': '405.e1', 'torsion': [2]}
  • id: 17755
    {'degree': 6, 'field': [80, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '405.e1', 'torsion': [2, 2]}
  • id: 17756
    {'degree': 6, 'field': [161, 168, 63, -14, 0, 0, 1], 'lmfdb_label': '405.e1', 'torsion': [7]}
  • id: 17757
    {'degree': 8, 'field': [-1, -4, 4, 1, -2, -1, 5, -4, 1], 'lmfdb_label': '405.e1', 'torsion': [3]}
  • id: 17758
    {'degree': 12, 'field': [-8, 96, -318, 886, -1287, 1140, -694, 288, -78, 4, 12, -6, 1], 'lmfdb_label': '405.e1', 'torsion': [4]}
  • id: 17759
    {'degree': 18, 'field': [99667, -504441, 1022619, -929991, 190164, 295686, -191576, 5571, 5361, 14011, -2727, -3258, 1119, -195, 201, -75, 9, -3, 1], 'lmfdb_label': '405.e1', 'torsion': [14]}
  • id: 17760
    {'degree': 21, 'field': [1, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -9, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '405.e1', 'torsion': [7]}
• 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: 4175
    {'conductor': 405, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '405.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4176
    {'conductor': 405, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '405.e1', 'prime': 5, '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: 1667547
    {'adelic_gens': [[1, 14, 0, 1], [9, 10, 1078, 109], [633, 1088, 1246, 953], [1, 0, 14, 1], [1247, 14, 1246, 15], [8, 5, 91, 57], [631, 14, 637, 99], [757, 14, 259, 99]], 'adelic_image': '1260.96.2.?', 'conductor': 405, 'lmfdb_label': '405.e1', 'prime': 0}
  • id: 1749
    {'conductor': 405, 'elladic_image': '7.16.0.2', 'lmfdb_label': '405.e1', 'modell_image': '7B.2.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 5301
    {'lmfdb_iso': '405.e', 'p': 7, 'prec': 20, 'unit': 329811080451739, 'val': 2}
  • id: 5299
    {'lmfdb_iso': '405.e', 'p': 11, 'prec': 20, 'unit': 27104463998706144895, 'val': 1}
  • id: 5305
    {'lmfdb_iso': '405.e', 'p': 13, 'prec': 20, 'unit': 647090068949145159987, 'val': 1}
  • id: 5307
    {'lmfdb_iso': '405.e', 'p': 17, 'prec': 20, 'unit': 147161521197474951438152, 'val': 1}
  • id: 5308
    {'lmfdb_iso': '405.e', 'p': 19, 'prec': 20, 'unit': 87460691332894697426968, 'val': 2}
  • id: 5312
    {'lmfdb_iso': '405.e', 'p': 23, 'prec': 20, 'unit': 37523309950125610133971023, 'val': 1}
  • id: 5304
    {'lmfdb_iso': '405.e', 'p': 29, 'prec': 20, 'unit': 2848551829905616188652694560, 'val': 1}
  • id: 5300
    {'lmfdb_iso': '405.e', 'p': 37, 'prec': 20, 'unit': 350932766401894932579788692126, 'val': 1}
  • id: 5302
    {'lmfdb_iso': '405.e', 'p': 41, 'prec': 20, 'unit': 721995946890178850640239529083, 'val': 1}
  • id: 5303
    {'lmfdb_iso': '405.e', 'p': 43, 'prec': 20, 'unit': 8020164338634291265438197427972, 'val': 1}
  • id: 5315
    {'lmfdb_iso': '405.e', 'p': 47, 'prec': 20, 'unit': 1721743970986231400402467325761, 'val': 1}
  • id: 5309
    {'lmfdb_iso': '405.e', 'p': 53, 'prec': 20, 'unit': 475077911175871010745873390071280, 'val': 1}
  • id: 5310
    {'lmfdb_iso': '405.e', 'p': 59, 'prec': 20, 'unit': 3653577173439123225668043358356741, 'val': 1}
  • id: 5316
    {'lmfdb_iso': '405.e', 'p': 61, 'prec': 20, 'unit': 5341592078439696909120037802335242, 'val': 1}
  • id: 5298
    {'lmfdb_iso': '405.e', 'p': 67, 'prec': 20, 'unit': 10233893227792384943538024322696683, 'val': 1}
  • id: 5314
    {'lmfdb_iso': '405.e', 'p': 71, 'prec': 20, 'unit': 75714254745261304572351907065570527, 'val': 1}
  • id: 5311
    {'lmfdb_iso': '405.e', 'p': 73, 'prec': 20, 'unit': 16842272657162534303293715672628056, 'val': 1}
  • id: 5306
    {'lmfdb_iso': '405.e', 'p': 79, 'prec': 20, 'unit': 552435844701952592954173412551017021, 'val': 1}
  • id: 5317
    {'lmfdb_iso': '405.e', 'p': 83, 'prec': 20, 'unit': 2614844989797312274501437849201989175, 'val': 1}
  • id: 5313
    {'lmfdb_iso': '405.e', 'p': 89, 'prec': 20, 'unit': 7602689592033966553837454816503355507, 'val': 1}
  • id: 5297
    {'lmfdb_iso': '405.e', 'p': 97, 'prec': 20, 'unit': 34850803478263581933754383331143643537, 'val': 1}