Elliptic curve isogeny class data - 60648.bp

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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, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, -6, 0, 2, 0, -2, 0, 0, 0], 'aplist': [0, 1, 2, 1, 0, -6, -2, 0, -4, 10, 8, -6, 2, -4, 8, 10, -12, -2, -12, 12, -14, 8, 12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 60648, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '60648.bp', 'trace_hash': 449424455239736327}
• ec_padic •

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

  
  
  • id: 3081248
    {'lmfdb_iso': '60648.bp', 'p': 5, 'prec': 20, 'unit': 11659057259372, 'val': 1}
  • id: 3081254
    {'lmfdb_iso': '60648.bp', 'p': 13, 'prec': 20, 'unit': 495263632907327557843, 'val': 1}
  • id: 3081256
    {'lmfdb_iso': '60648.bp', 'p': 17, 'prec': 20, 'unit': 147219366348766389327809, 'val': 1}
  • id: 3081261
    {'lmfdb_iso': '60648.bp', 'p': 23, 'prec': 20, 'unit': 59713730218344142229806857, 'val': 1}
  • id: 3081253
    {'lmfdb_iso': '60648.bp', 'p': 29, 'prec': 20, 'unit': 10186751214268479621793229, 'val': 1}
  • id: 3081250
    {'lmfdb_iso': '60648.bp', 'p': 31, 'prec': 20, 'unit': 7845304785752524261308307689, 'val': 1}
  • id: 3081265
    {'lmfdb_iso': '60648.bp', 'p': 37, 'prec': 20, 'unit': 76568507180700620233055898705, 'val': 1}
  • id: 3081251
    {'lmfdb_iso': '60648.bp', 'p': 41, 'prec': 20, 'unit': 1371060374923930658315276160056, 'val': 1}
  • id: 3081252
    {'lmfdb_iso': '60648.bp', 'p': 43, 'prec': 20, 'unit': 8330815890312088001905919021075, 'val': 1}
  • id: 3081263
    {'lmfdb_iso': '60648.bp', 'p': 47, 'prec': 20, 'unit': 782810509202864472880764871563, 'val': 1}
  • id: 3081258
    {'lmfdb_iso': '60648.bp', 'p': 53, 'prec': 20, 'unit': 105682663423789519254391488682424, 'val': 1}
  • id: 3081259
    {'lmfdb_iso': '60648.bp', 'p': 59, 'prec': 20, 'unit': 2005391267439145232759427120360803, 'val': 1}
  • id: 3081264
    {'lmfdb_iso': '60648.bp', 'p': 61, 'prec': 20, 'unit': 1102231749905117927756249843107346, 'val': 1}
  • id: 3081247
    {'lmfdb_iso': '60648.bp', 'p': 67, 'prec': 20, 'unit': 6335862118641683125531233531794209, 'val': 1}
  • id: 3081249
    {'lmfdb_iso': '60648.bp', 'p': 71, 'prec': 20, 'unit': 82847656256927255565309384390676034, 'val': 1}
  • id: 3081260
    {'lmfdb_iso': '60648.bp', 'p': 73, 'prec': 20, 'unit': 240397139687879289847382812371604576, 'val': 1}
  • id: 3081255
    {'lmfdb_iso': '60648.bp', 'p': 79, 'prec': 20, 'unit': 1127539188375658251712503636382140537, 'val': 1}
  • id: 3081257
    {'lmfdb_iso': '60648.bp', 'p': 83, 'prec': 20, 'unit': 1384669627127994772834935122906507407, 'val': 1}
  • id: 3081262
    {'lmfdb_iso': '60648.bp', 'p': 89, 'prec': 20, 'unit': 860395450731663570095038729632724187, 'val': 1}
  • id: 3081246
    {'lmfdb_iso': '60648.bp', 'p': 97, 'prec': 20, 'unit': 10331056293240072324590913748088532894, '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: 401774
    {'Ciso': '60648bp', 'Clabel': '60648bp4', 'Cnumber': 4, 'abc_quality': 1.0353416362958598, 'absD': 9105071625216, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 1, 0, -1455672, -676480320], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 60648, 'degree': 663552, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0004084638836262572186609781', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [7080974546692, 189], 'lmfdb_iso': '60648.bp', 'lmfdb_label': '60648.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4032, 99900], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '42.6.0.a.1', '56.12.0.ba.1', '84.12.0.?', '152.12.0.?', '168.24.0.?', '228.12.0.?', '456.24.0.?', '532.12.0.?', '1064.24.0.?', '1596.24.0.?', '3192.48.0.?'], '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': '5.4308683294186565376121114821', 'prec': 100}, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.049433676166215063966879505725', 'prec': 110}, 'szpiro_ratio': 4.920304735957775, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 401773
    {'Ciso': '60648bp', 'Clabel': '60648bp3', 'Cnumber': 3, 'abc_quality': 1.0994361168495796, 'absD': 179215124799126528, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 1, 0, -141632, 2413392], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 60648, 'degree': 663552, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0004084638836262572186609781', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [6522128932, 3720087], 'lmfdb_iso': '60648.bp', 'lmfdb_label': '60648.bp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -392, -228], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '28.12.0.h.1', '76.12.0.?', '168.24.0.?', '456.24.0.?', '532.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3577170823546641344030278705', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.049433676166215063966879505725', 'prec': 110}, 'szpiro_ratio': 4.285594275332059, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 401772
    {'Ciso': '60648bp', 'Clabel': '60648bp2', 'Cnumber': 2, 'abc_quality': 0.9793898903636942, 'absD': 430214634291456, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1596, 'ainvs': [0, 1, 0, -91092, -10565280], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 60648, 'degree': 331776, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6538348736036536025100449174', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2], 'jinv': [6940769488, 35721], 'lmfdb_iso': '60648.bp', 'lmfdb_label': '60648.bp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -252, 1620], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '28.12.0.a.1', '76.12.0.?', '84.24.0.?', '228.24.0.?', '532.24.0.?', '1596.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.7154341647093282688060557410', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.28048273635286350043929021285', 'prec': 107}, 'szpiro_ratio': 4.165363496668884, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 401771
    {'Ciso': '60648bp', 'Clabel': '60648bp1', 'Cnumber': 1, 'abc_quality': 1.0797970787420708, 'absD': 48797493241392, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3192, 'ainvs': [0, 1, 0, -2647, -341038], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 60648, 'degree': 165888, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3072612833236809478014288566', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2, 4], 'jinv': [-2725888, 64827], 'lmfdb_iso': '60648.bp', 'lmfdb_label': '60648.bp4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -7, 52], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '12.12.0.g.1', '56.12.0.ba.1', '76.12.0.?', '168.24.0.?', '228.24.0.?', '1064.24.0.?', '3192.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3577170823546641344030278705', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39600726644618771867549556650', 'prec': 107}, 'szpiro_ratio': 3.5410898106467306, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}