Elliptic curve isogeny class data - 154128.m

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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, 0, 0, 1, 0, -4, 0, 0, 0, 2, 0, -6, 0, -1, 0], 'aplist': [0, -1, -2, 0, -4, 0, -6, -1, -4, -6, -8, -6, 6, -4, -8, -6, 8, -2, 4, -12, -2, -8, 12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 154128, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '154128.m', 'trace_hash': 2076614092955746305}
• lmfdb_iso 154128.m 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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 999266
    {'Ciso': '154128db', 'Clabel': '154128db4', 'Cnumber': 4, 'abc_quality': 0.9825082370018835, 'absD': 4256788945887419415552, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [0, -1, 0, -4216944, 1121986800], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 7741440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8424435443124103828888156148', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [1677865892403172, 861235747047], 'lmfdb_iso': '154128.m', 'lmfdb_label': '154128.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -24952, -518368], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '52.12.0-4.c.1.1', '76.12.0.?', '312.24.0.?', '456.24.0.?', '988.24.0.?', '5928.48.0.?'], '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': '7.7457183242255886104354416365', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3211], [3, 4, 51376], [5, 2, 51376], [13, 98, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98234621511502092368104512613', 'prec': 103}, 'szpiro_ratio': 4.803254875816697, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 999264
    {'Ciso': '154128db', 'Clabel': '154128db2', 'Cnumber': 2, 'abc_quality': 1.0044739874476056, 'absD': 4451501590349508864, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2964, 'ainvs': [0, -1, 0, -3382084, 2392977664], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 3870720, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4958699540324377281801995540', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [3462397543530448, 3602520441], 'lmfdb_iso': '154128.m', 'lmfdb_label': '154128.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20012, -1095360], 'min_quad_twist_disc': -52, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '52.12.0-2.a.1.1', '76.12.0.?', '156.24.0.?', '228.24.0.?', '988.24.0.?', '2964.48.0.?'], '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': '3.8728591621127943052177208183', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 51376], [5, 2, 51376], [13, 98, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.75129715492837248720863441891', 'prec': 103}, 'szpiro_ratio': 4.747848771457422, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 999263
    {'Ciso': '154128db', 'Clabel': '154128db1', 'Cnumber': 1, 'abc_quality': 1.0466288639674306, 'absD': 4635358447824, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [0, -1, 0, -3381239, 2394233334], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 1935360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1492963637524650734715834933', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [55356847905445888, 60021], 'lmfdb_iso': '154128.m', 'lmfdb_label': '154128.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20007, -1095930], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '76.12.0.?', '104.12.0.?', '156.12.0.?', '312.24.0.?', '456.24.0.?', '1482.6.0.?', '1976.24.0.?', '2964.24.0.?', '5928.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.7457183242255886104354416365', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9633], [3, 4, 51376], [5, 2, 51376], [13, 98, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63577262483504826897242906536', 'prec': 103}, 'szpiro_ratio': 4.747786017365402, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 999265
    {'Ciso': '154128db', 'Clabel': '154128db3', 'Cnumber': 3, 'abc_quality': 0.9679833383597071, 'absD': 4470480008652398128128, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5928, 'ainvs': [0, -1, 0, -2560744, 3583592128], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154128, 'degree': 7741440, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8424435443124103828888156148', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [-375718260235972, 904469833683], 'lmfdb_iso': '154128.m', 'lmfdb_label': '154128.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -15152, -1635792], 'min_quad_twist_disc': -52, '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', '52.12.0-4.c.1.2', '152.12.0.?', '156.24.0.?', '456.24.0.?', '1976.24.0.?', '5928.48.0.?'], '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': '1.9364295810563971526088604091', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 507], [3, 4, 51376], [5, 2, 51376], [13, 98, 912], [19, 20, 8112]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.98234621511502092368104512613', 'prec': 103}, 'szpiro_ratio': 4.815348521511068, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}