Elliptic curve isogeny class data - 485100.eu

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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, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, 0, 0, 1, -4, 6, -2, 0, 0, 4, 10, 0, 4, -12, 6, 12, 10, 4, 0, 8, -10, 6, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 485100, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '485100.eu', 'trace_hash': 2226649603203361427}
• lmfdb_iso 485100.eu 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: 2976998
    {'Ciso': '485100eu', 'Clabel': '485100eu4', 'Cnumber': 4, 'abc_quality': 0.963342172697873, 'absD': 227909872627321500000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -17158575, -14860732250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 485100, 'degree': 47775744, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1795879719221490934751404942', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 124, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1628514404944, 664335375], 'lmfdb_iso': '485100.eu', 'lmfdb_label': '485100.eu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1556, -13356], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '44.6.0.c.1', '60.24.0.r.1', '84.24.0.?', '105.8.0.?', '132.24.0.?', '210.24.0.?', '420.48.0.?', '660.48.1.?', '924.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4915339522112003679369674811', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 8, 4900], [5, 18, 19404], [7, 26, 9900], [11, 12, 44100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39050967647009053497964042310', 'prec': 103}, 'szpiro_ratio': 4.704178874168032, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2976996
    {'Ciso': '485100eu', 'Clabel': '485100eu2', 'Cnumber': 2, 'abc_quality': 0.9214349789031259, 'absD': 5603958346140000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -7897575, 8541814750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 485100, 'degree': 15925248, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6302818275880942477775178757', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 124, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [158792223184, 16335], 'lmfdb_iso': '485100.eu', 'lmfdb_label': '485100.eu2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -716, 7140], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '44.6.0.c.1', '60.24.0.r.1', '84.24.0.?', '105.8.0.?', '132.24.0.?', '210.24.0.?', '420.48.0.?', '660.48.1.?', '924.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.83051131740373345597898916036', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 2, 53900], [5, 18, 19404], [7, 26, 9900], [11, 12, 44100]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15879646786396431071798219540', 'prec': 107}, 'szpiro_ratio': 4.5263750797027145, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2976995
    {'Ciso': '485100eu', 'Clabel': '485100eu1', 'Cnumber': 1, 'abc_quality': 0.9402381290121617, 'absD': 4298490776868750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -455700, 154821625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 485100, 'degree': 7962624, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2837082373081215930689018150', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 124, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-488095744, 200475], 'lmfdb_iso': '485100.eu', 'lmfdb_label': '485100.eu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -41, 120], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '60.24.0.s.1', '66.24.0.a.1', '84.24.0.?', '105.8.0.?', '210.24.0.?', '420.48.0.?', '660.48.1.?', '924.48.0.?', '2310.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6610226348074669119579783207', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121275], [3, 2, 53900], [5, 18, 19404], [7, 26, 9900], [11, 12, 44100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27432099795728852895418754895', 'prec': 107}, 'szpiro_ratio': 3.9137092982725856, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 2976997
    {'Ciso': '485100eu', 'Clabel': '485100eu3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 4013251419761718750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 0, 0, 3513300, -1692747875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 485100, 'degree': 23887872, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8330143816421764387665244334', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 124, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '485100.eu', 'lmfdb_label': '485100.eu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '60.24.0.s.1', '66.24.0.a.1', '84.24.0.?', '105.8.0.?', '210.24.0.?', '420.48.0.?', '660.48.1.?', '924.48.0.?', '2310.48.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9830679044224007358739349621', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121275], [3, 8, 4900], [5, 18, 19404], [7, 26, 9900], [11, 12, 44100]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506945', 'prec': 103}, 'szpiro_ratio': 4.340767115154833, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}