Elliptic curve isogeny class data - 6762.g

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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, 0, -1, 1, 0, 0, -1, -2, 0, 0, 1, 0, -1, -2, 0], 'aplist': [-1, -1, 0, 0, 0, -2, 0, -2, -1, -6, 4, -10, 6, 2, 0, 12, -12, 10, 14, 0, -2, -10, 0, -12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 6762, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '6762.g', 'trace_hash': 1946279546782593126}
• lmfdb_iso 6762.g 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 43063
    {'Ciso': '6762b', 'Clabel': '6762b4', 'Cnumber': 4, 'abc_quality': 1.0712548707660436, 'absD': 3343924666552512, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1932, 'ainvs': [1, 1, 0, -37755, -498147], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6762, 'degree': 34560, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6689650536942798071411991390', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [50591419971625, 28422890688], 'lmfdb_iso': '6762.g', 'lmfdb_label': '6762.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -771, 1342], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '84.48.0.?', '92.6.0.?', '276.48.1.?', '1932.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 4, 49], [7, 26, 138], [23, 24, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.69600997916662315458852276728', 'prec': 103}, 'szpiro_ratio': 4.901905130676678, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 43061
    {'Ciso': '6762b', 'Clabel': '6762b2', 'Cnumber': 2, 'abc_quality': 1.1248365463890548, 'absD': 6721522668, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1932, 'ainvs': [1, 1, 0, -28200, -1834524], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6762, 'degree': 11520, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1196589093602249614435765205', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21081759765625, 57132], 'lmfdb_iso': '6762.g', 'lmfdb_label': '6762.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -576, 5266], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '84.48.0.?', '92.6.0.?', '276.48.1.?', '1932.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 147], [3, 4, 2254], [7, 26, 138], [23, 24, 294]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14670383483256830889090014878', 'prec': 103}, 'szpiro_ratio': 4.8026459797424, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 43060
    {'Ciso': '6762b', 'Clabel': '6762b1', 'Cnumber': 1, 'abc_quality': 0.950715771479093, 'absD': 31561932528, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1932, 'ainvs': [1, 1, 0, -1740, -29952], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6762, 'degree': 5760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.77308531908025230673496045982', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4956477625, 268272], 'lmfdb_iso': '6762.g', 'lmfdb_label': '6762.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, 82], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '21.8.0-3.a.1.1', '42.24.0-6.a.1.3', '46.6.0.a.1', '84.48.0.?', '138.24.0.?', '276.48.1.?', '966.48.0.?', '1932.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1127], [3, 4, 2254], [7, 26, 138], [23, 24, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19986975544740434581771591190', 'prec': 107}, 'szpiro_ratio': 3.8653527727763675, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 43062
    {'Ciso': '6762b', 'Clabel': '6762b3', 'Cnumber': 3, 'abc_quality': 1.0543092611270368, 'absD': 52768433958912, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1932, 'ainvs': [1, 1, 0, 9285, -55971], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 6762, 'degree': 17280, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3223914634143071524325830783', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [752329532375, 448524288], 'lmfdb_iso': '6762.g', 'lmfdb_label': '6762.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 189, 190], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '21.8.0-3.a.1.2', '42.24.0-6.a.1.4', '46.6.0.a.1', '84.48.0.?', '138.24.0.?', '276.48.1.?', '966.48.0.?', '1932.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1127], [3, 4, 49], [7, 26, 138], [23, 24, 294]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.34943638888665049987990670658', 'prec': 103}, 'szpiro_ratio': 4.424716386462303, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}