Elliptic curve isogeny class data - 121275.ff

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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, 0, -1, 0, 0, 0, -3, 0, 0, 1, 0, -2, 0, 0, -1, -6, 0, -4, 0], 'aplist': [1, 0, 0, 0, 1, -2, -6, -4, -4, -10, 4, 2, 10, -12, 0, 10, -12, 2, -4, -8, -14, 4, -8, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 121275, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '121275.ff', 'trace_hash': 1053114899166446707}
• ec_padic •

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

  
  
  • id: 6338854
    {'lmfdb_iso': '121275.ff', 'p': 13, 'prec': 20, 'unit': 1273348084176790709223, 'val': 2}
  • id: 6338856
    {'lmfdb_iso': '121275.ff', 'p': 17, 'prec': 20, 'unit': 19699538308616527565302, 'val': 2}
  • id: 6338846
    {'lmfdb_iso': '121275.ff', 'p': 19, 'prec': 20, 'unit': 1921212041563337662657866, 'val': 2}
  • id: 6338860
    {'lmfdb_iso': '121275.ff', 'p': 23, 'prec': 20, 'unit': 26579501772141602288192989, 'val': 2}
  • id: 6338853
    {'lmfdb_iso': '121275.ff', 'p': 29, 'prec': 20, 'unit': 1690629530533903092651070341, 'val': 2}
  • id: 6338864
    {'lmfdb_iso': '121275.ff', 'p': 31, 'prec': 20, 'unit': 415516578672775211450121250, 'val': 3}
  • id: 6338849
    {'lmfdb_iso': '121275.ff', 'p': 37, 'prec': 20, 'unit': 192762303181934863084691073725, 'val': 2}
  • id: 6338851
    {'lmfdb_iso': '121275.ff', 'p': 41, 'prec': 20, 'unit': 879463530760491944254884140823, 'val': 2}
  • id: 6338852
    {'lmfdb_iso': '121275.ff', 'p': 43, 'prec': 20, 'unit': 6932351211414409898089845429102, 'val': 2}
  • id: 6338858
    {'lmfdb_iso': '121275.ff', 'p': 53, 'prec': 20, 'unit': 433943809853694383407340623764332, 'val': 2}
  • id: 6338862
    {'lmfdb_iso': '121275.ff', 'p': 59, 'prec': 20, 'unit': 3870841579522978493112166931423436, 'val': 2}
  • id: 6338863
    {'lmfdb_iso': '121275.ff', 'p': 61, 'prec': 20, 'unit': 340271620659510805217792468859442, 'val': 2}
  • id: 6338848
    {'lmfdb_iso': '121275.ff', 'p': 67, 'prec': 20, 'unit': 29762047958804263315406527895886601, 'val': 2}
  • id: 6338850
    {'lmfdb_iso': '121275.ff', 'p': 71, 'prec': 20, 'unit': 20929091154132738442260646743336630, 'val': 2}
  • id: 6338859
    {'lmfdb_iso': '121275.ff', 'p': 73, 'prec': 20, 'unit': 173363138980985772678604073479548591, 'val': 2}
  • id: 6338855
    {'lmfdb_iso': '121275.ff', 'p': 79, 'prec': 20, 'unit': 876639306262408449147180360757163657, 'val': 2}
  • id: 6338857
    {'lmfdb_iso': '121275.ff', 'p': 83, 'prec': 20, 'unit': 2515686689225932637853107428363382173, 'val': 2}
  • id: 6338861
    {'lmfdb_iso': '121275.ff', 'p': 89, 'prec': 20, 'unit': 9782295302903610620311722713233957004, 'val': 2}
  • id: 6338847
    {'lmfdb_iso': '121275.ff', 'p': 97, 'prec': 20, 'unit': 3860256139577984329639020402107380593, 'val': 2}
• 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: 791713
    {'Ciso': '121275ee', 'Clabel': '121275ee4', 'Cnumber': 4, 'abc_quality': 0.9461737456442991, 'absD': 17665663874554458984375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -23411817, -43124096534], 'analytic_rank': 2, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 121275, 'degree': 10616832, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0785767335214478110711306640', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 135, 'isogeny_degrees': [1, 2, 4], 'jinv': [1058993490188089, 13182390375], 'lmfdb_iso': '121275.ff', 'lmfdb_label': '121275.ff1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2123, -38142], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0.h.1', '84.12.0.?', '88.12.0.?', '140.12.0.?', '420.24.0.?', '1320.24.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.1871036817328262767347417681', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75159655844268612552045200720', 'prec': 103}, 'szpiro_ratio': 5.340922628454453, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 791711
    {'Ciso': '121275ee', 'Clabel': '121275ee2', 'Cnumber': 2, 'abc_quality': 0.930378800608982, 'absD': 1117325679365478515625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4620, 'ainvs': [1, -1, 0, -2739942, 679606591], 'analytic_rank': 2, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 121275, 'degree': 5308416, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7320031432414751563625146032', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 135, 'isogeny_degrees': [1, 2], 'jinv': [1697509118089, 833765625], 'lmfdb_iso': '121275.ff', 'lmfdb_label': '121275.ff2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -248, 483], 'min_quad_twist_disc': 105, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '44.12.0-2.a.1.2', '60.12.0.a.1', '84.12.0.?', '140.12.0.?', '420.24.0.?', '660.24.0.?', '924.24.0.?', '1540.24.0.?', '4620.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '12.748414726931305106938967072', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40502296816271347081183594640', 'prec': 103}, 'szpiro_ratio': 4.791117962012026, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 791710
    {'Ciso': '121275ee', 'Clabel': '121275ee1', 'Cnumber': 1, 'abc_quality': 0.8974073483939803, 'absD': 1044772063822265625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 0, -2243817, 1293313216], 'analytic_rank': 2, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 121275, 'degree': 2654208, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3854295529615025016538985425', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 135, 'isogeny_degrees': [1, 2, 4], 'jinv': [932288503609, 779625], 'lmfdb_iso': '121275.ff', 'lmfdb_label': '121275.ff3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -203, 1032], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '84.12.0.?', '88.12.0.?', '120.12.0.?', '280.12.0.?', '660.12.0.?', '770.6.0.?', '840.24.0.?', '1320.24.0.?', '1540.12.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.1871036817328262767347417681', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.058449377882740816103219885703', 'prec': 107}, 'szpiro_ratio': 4.739923332584786, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 791712
    {'Ciso': '121275ee', 'Clabel': '121275ee3', 'Cnumber': 3, 'abc_quality': 0.9587027324626106, 'absD': 75576682857513427734375, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, -1, 0, 9993933, 5200132216], 'analytic_rank': 2, 'bad_primes': [3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 121275, 'degree': 10616832, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0785767335214478110711306640', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 135, 'isogeny_degrees': [1, 2, 4], 'jinv': [82375335041831, 56396484375], 'lmfdb_iso': '121275.ff', 'lmfdb_label': '121275.ff4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 907, 4872], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '88.12.0.?', '120.12.0.?', '140.12.0.?', '168.12.0.?', '462.6.0.?', '660.12.0.?', '840.24.0.?', '924.12.0.?', '1320.24.0.?', '1848.24.0.?', '3080.24.0.?', '4620.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '50.993658907725220427755868289', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75159655844268612552045200720', 'prec': 103}, 'szpiro_ratio': 5.122758585535362, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}