Elliptic curve isogeny class data - 13680.q

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• 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, 2, 0, 0, 0, -6, 0, 1, 0], 'aplist': [0, 0, -1, 0, 4, 2, -6, 1, -4, 10, -4, 10, -6, 0, -12, -10, 0, -10, -4, 0, 10, -4, 12, -14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 13680, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '13680.q', 'trace_hash': 1246511402740963714}
• ec_padic •

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

  
  
  • id: 606120
    {'lmfdb_iso': '13680.q', 'p': 11, 'prec': 20, 'unit': 53640447386560684614, 'val': 1}
  • id: 606122
    {'lmfdb_iso': '13680.q', 'p': 13, 'prec': 20, 'unit': 264200836363155651512, 'val': 1}
  • id: 606124
    {'lmfdb_iso': '13680.q', 'p': 17, 'prec': 20, 'unit': 102577440779814797138192, 'val': 1}
  • id: 606128
    {'lmfdb_iso': '13680.q', 'p': 23, 'prec': 20, 'unit': 61639467345483879799092597, 'val': 1}
  • id: 606121
    {'lmfdb_iso': '13680.q', 'p': 29, 'prec': 20, 'unit': 4816778556268737404143360466, 'val': 1}
  • id: 606132
    {'lmfdb_iso': '13680.q', 'p': 31, 'prec': 20, 'unit': 3469401056734069187682809625, 'val': 1}
  • id: 606118
    {'lmfdb_iso': '13680.q', 'p': 37, 'prec': 20, 'unit': 535198324553228135490556425791, 'val': 1}
  • id: 606119
    {'lmfdb_iso': '13680.q', 'p': 41, 'prec': 20, 'unit': 3370060238594088547037186176840, 'val': 1}
  • id: 606123
    {'lmfdb_iso': '13680.q', 'p': 47, 'prec': 20, 'unit': 8850561143496066184545131165571, 'val': 1}
  • id: 606126
    {'lmfdb_iso': '13680.q', 'p': 53, 'prec': 20, 'unit': 576859378057651311257559110151572, 'val': 1}
  • id: 606131
    {'lmfdb_iso': '13680.q', 'p': 61, 'prec': 20, 'unit': 4350012179798627254914191240329378, 'val': 1}
  • id: 606117
    {'lmfdb_iso': '13680.q', 'p': 67, 'prec': 20, 'unit': 6393348075612965443985431513954651, 'val': 1}
  • id: 606127
    {'lmfdb_iso': '13680.q', 'p': 73, 'prec': 20, 'unit': 106235923579751196588209522720876917, 'val': 1}
  • id: 606130
    {'lmfdb_iso': '13680.q', 'p': 79, 'prec': 20, 'unit': 665970913343767392860118499534392458, 'val': 1}
  • id: 606125
    {'lmfdb_iso': '13680.q', 'p': 83, 'prec': 20, 'unit': 117659397122925681046775113837672250, 'val': 1}
  • id: 606129
    {'lmfdb_iso': '13680.q', 'p': 89, 'prec': 20, 'unit': 1910333819107089152134041434646863499, 'val': 1}
  • id: 606116
    {'lmfdb_iso': '13680.q', 'p': 97, 'prec': 20, 'unit': 51313030578835378129527552849974635921, 'val': 1}
• 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[]

  
  
  • id: 89667
    {'Ciso': '13680l', 'Clabel': '13680l4', 'Cnumber': 4, 'abc_quality': 0.9336753006137475, 'absD': 53187840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, -21963, 1252762], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13680, 'degree': 24576, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1342495871547144749102334548', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [784767874322, 35625], 'lmfdb_iso': '13680.q', 'lmfdb_label': '13680.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2440, 47212], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '120.24.0.?', '228.12.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2205848073507928321571047690', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.050441472692623571086518608331', 'prec': 110}, 'szpiro_ratio': 4.3685741233176465, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 89666
    {'Ciso': '13680l', 'Clabel': '13680l3', 'Cnumber': 3, 'abc_quality': 0.9806888530998328, 'absD': 2918523156480, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, -6843, -201782], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13680, 'degree': 24576, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1342495871547144749102334548', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [23735908082, 1954815], 'lmfdb_iso': '13680.q', 'lmfdb_label': '13680.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -760, -7220], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '60.12.0-4.c.1.2', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.55514620183769820803927619225', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.050441472692623571086518608331', 'prec': 110}, 'szpiro_ratio': 4.001237629599283, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 89665
    {'Ciso': '13680l', 'Clabel': '13680l2', 'Cnumber': 2, 'abc_quality': 0.8579218030484116, 'absD': 60634137600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, -1443, 17458], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13680, 'degree': 12288, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.78767599687474182020161739412', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [445138564, 81225], 'lmfdb_iso': '13680.q', 'lmfdb_label': '13680.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -160, 700], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '60.12.0-2.a.1.1', '120.24.0.?', '228.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1102924036753964160785523845', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33925279792593411667703199222', 'prec': 107}, 'szpiro_ratio': 3.510933371186713, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 89664
    {'Ciso': '13680l', 'Clabel': '13680l1', 'Cnumber': 1, 'abc_quality': 0.7972672639579634, 'absD': 1436071680, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 0, 0, 177, 1582], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 13680, 'degree': 6144, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44110240659476916549300133339', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [3286064, 7695], 'lmfdb_iso': '13680.q', 'lmfdb_label': '13680.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 20, 52], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '60.12.0-4.c.1.1', '120.24.0.?', '190.6.0.?', '228.12.0.?', '380.12.0.?', '456.24.0.?', '760.24.0.?', '1140.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2205848073507928321571047690', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57030185811258255314944269938', 'prec': 107}, 'szpiro_ratio': 2.9669209378988213, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}