Elliptic curve isogeny class data - 130130.c

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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, -1, -2, 1, -1, 2, -1, -1, 1, 1, -1, -2, 0, 1, 2, 1, -6, -1, 4, -1], 'aplist': [-1, -2, -1, -1, -1, 0, -6, 4, 0, 0, 4, -2, 6, 2, 0, 6, -12, 2, -14, -6, 4, -10, -6, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 130130, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '130130.c', 'trace_hash': 1507376775103870588}
• lmfdb_iso 130130.c does not appear in ec_padic
• 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: 848486
    {'Ciso': '130130c', 'Clabel': '130130c3', 'Cnumber': 3, 'abc_quality': 0.9532327911852743, 'absD': 4001077613432900, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -29184614, -60687107388], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 130130, 'degree': 7257600, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6935180736394182184803096851', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [569541582763202518561, 828928100], 'lmfdb_iso': '130130.c', 'lmfdb_label': '130130.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -172690, -27636000], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.2', '40.6.0.d.1', '78.24.0.?', '120.24.0.?', '462.24.0.?', '1560.48.0.?', '2002.6.0.?', '6006.48.0.?', '9240.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.4578270780213688264572429224', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4110433949086498504535659643', 'prec': 100}, 'szpiro_ratio': 5.365107665275889, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 848487
    {'Ciso': '130130c', 'Clabel': '130130c4', 'Cnumber': 4, 'abc_quality': 0.9532509871939737, 'absD': 3316605664055468274490, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -29176164, -60724003468], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 130130, 'degree': 14515200, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0400916639193908731889257458', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-569047017391330383361, 687121794969610], 'lmfdb_iso': '130130.c', 'lmfdb_label': '130130.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -172640, -27652790], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.2', '40.6.0.a.1', '78.24.0.?', '120.24.0.?', '924.24.0.?', '1560.48.0.?', '4004.6.0.?', '9240.48.0.?', '12012.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '16.915654156042737652914485845', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7576169851886225051621820250', 'prec': 100}, 'szpiro_ratio': 5.365210893420776, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 848484
    {'Ciso': '130130c', 'Clabel': '130130c1', 'Cnumber': 1, 'abc_quality': 0.8867730911748833, 'absD': 584627932889000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -370114, -78502188], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 130130, 'degree': 2419200, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1442119293053633727826870666', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1161631688686561, 121121000000], 'lmfdb_iso': '130130.c', 'lmfdb_label': '130130.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2190, -35900], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.1', '40.6.0.d.1', '78.24.0.?', '120.24.0.?', '462.24.0.?', '1560.48.0.?', '2002.6.0.?', '6006.48.0.?', '9240.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8192756926737896088190809741', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86173725057459500475594334582', 'prec': 103}, 'szpiro_ratio': 4.252468431057397, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 848485
    {'Ciso': '130130c', 'Clabel': '130130c2', 'Cnumber': 2, 'abc_quality': 0.9222256834848271, 'absD': 70810719859448569000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 1, 474886, -384730188], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 130130, 'degree': 4838400, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4907855195853360274913031274', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2453765252833439, 14670296641000], 'lmfdb_iso': '130130.c', 'lmfdb_label': '130130.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2810, -174900], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '39.8.0-3.a.1.1', '40.6.0.a.1', '78.24.0.?', '120.24.0.?', '924.24.0.?', '1560.48.0.?', '4004.6.0.?', '9240.48.0.?', '12012.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6385513853475792176381619482', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2083108408545676594645594066', 'prec': 100}, 'szpiro_ratio': 4.505617676805287, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}