Elliptic curve isogeny class data - 55275.d

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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, -1, -1, 0, 1, 4, 3, 1, 0, -1, 1, -2, -4, 0, -1, -6, -1, 4, 0], 'aplist': [-1, -1, 0, 4, -1, -2, -6, 4, -4, 2, 0, -6, 6, -8, 12, -2, 0, 10, 1, 12, 6, 4, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 55275, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '55275.d', 'trace_hash': 1668257558712241942}
• lmfdb_iso 55275.d 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: 366917
    {'Ciso': '55275f', 'Clabel': '55275f4', 'Cnumber': 4, 'abc_quality': 0.9601706388099045, 'absD': 841624163015625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 88440, 'ainvs': [1, 1, 1, -358738, 82540406], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55275, 'degree': 491520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8722212940762761342196899771', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [326765283429753433, 53863946433], 'lmfdb_iso': '55275.d', 'lmfdb_label': '55275.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14350, 660323], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0-4.c.1.1', '66.6.0.a.1', '132.12.0.?', '220.12.0.?', '660.24.0.?', '1608.12.0.?', '2680.12.0.?', '5896.12.0.?', '8040.24.0.?', '17688.24.0.?', '29480.24.0.?', '88440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 825], [3, 4, 18425], [5, 14, 737], [11, 12, 5025], [67, 68, 825]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0675023378592259469193103105', 'prec': 100}, 'szpiro_ratio': 4.577316675158207, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 366915
    {'Ciso': '55275f', 'Clabel': '55275f2', 'Cnumber': 2, 'abc_quality': 0.9244130293411088, 'absD': 501149785640625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 44220, 'ainvs': [1, 1, 1, -24613, 1013906], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55275, 'degree': 245760, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5256477037963034795110739164', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [105535468883593, 32073586281], 'lmfdb_iso': '55275.d', 'lmfdb_label': '55275.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -985, 8111], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '60.12.0-2.a.1.1', '132.12.0.?', '220.12.0.?', '660.24.0.?', '804.12.0.?', '1340.12.0.?', '2948.12.0.?', '4020.24.0.?', '8844.24.0.?', '14740.24.0.?', '44220.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 18425], [5, 14, 737], [11, 12, 5025], [67, 68, 825]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.72092874757925329221069424979', 'prec': 103}, 'szpiro_ratio': 3.841245762657928, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 366914
    {'Ciso': '55275f', 'Clabel': '55275f1', 'Cnumber': 1, 'abc_quality': 0.8949649331580948, 'absD': 3724533140625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 88440, 'ainvs': [1, 1, 1, -9488, -347344], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55275, 'degree': 122880, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1790741135163308248024578557', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [6045477024313, 238370121], 'lmfdb_iso': '55275.d', 'lmfdb_label': '55275.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -380, -2779], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '60.12.0-4.c.1.2', '264.12.0.?', '402.6.0.?', '440.12.0.?', '804.12.0.?', '1320.24.0.?', '1340.12.0.?', '4020.24.0.?', '5896.12.0.?', '17688.24.0.?', '29480.24.0.?', '88440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5025], [3, 4, 18425], [5, 14, 737], [11, 12, 5025], [67, 68, 825]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.37435515729928063750207818909', 'prec': 103}, 'szpiro_ratio': 3.579366935102182, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 366916
    {'Ciso': '55275f', 'Clabel': '55275f3', 'Cnumber': 3, 'abc_quality': 1.1013335080659368, 'absD': 40152501617765625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 88440, 'ainvs': [1, 1, 1, 67512, 6909906], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 67], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 55275, 'degree': 491520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8722212940762761342196899771', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [2177941476727367, 2569760103537], 'lmfdb_iso': '55275.d', 'lmfdb_label': '55275.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 2700, 55279], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '220.12.0.?', '264.12.0.?', '1320.24.0.?', '1340.12.0.?', '1608.12.0.?', '2948.12.0.?', '8040.24.0.?', '14740.24.0.?', '17688.24.0.?', '88440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 18425], [3, 4, 18425], [5, 14, 737], [11, 12, 5025], [67, 68, 825]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0675023378592259469193103105', 'prec': 100}, 'szpiro_ratio': 4.121942026816202, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}