Elliptic curve isogeny class data - 112632.s

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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, 4, 0, 1, 0, 0, 0, -1, 0, -2, 0, 2, 0, 0, 0], 'aplist': [0, 1, -2, 4, 0, -1, 2, 0, 8, 2, -4, 10, -2, -4, -12, -6, 0, -2, -8, 12, 10, 8, 0, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 112632, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '112632.s', 'trace_hash': 626836376508102102}
• lmfdb_iso 112632.s 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: 737521
    {'Ciso': '112632y', 'Clabel': '112632y4', 'Cnumber': 4, 'abc_quality': 0.9567914796065754, 'absD': 4108988752008192, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11856, 'ainvs': [0, 1, 0, -109864, 13636160], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112632, 'degree': 774144, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7750529548390787174036163439', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [3044193988, 85293], 'lmfdb_iso': '112632.s', 'lmfdb_label': '112632.s1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -304, -1892], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '26.6.0.b.1', '48.24.0.i.1', '52.12.0.g.1', '76.12.0.?', '104.48.0.?', '152.24.0.?', '624.96.3.?', '912.48.0.?', '988.24.0.?', '1976.96.0.?', '11856.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4693], [3, 4, 37544], [13, 14, 8664], [19, 182, 312]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27478918521076260378192413993', 'prec': 107}, 'szpiro_ratio': 3.992011876677628, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 737519
    {'Ciso': '112632y', 'Clabel': '112632y2', 'Cnumber': 2, 'abc_quality': 0.9119472945194543, 'absD': 164866832642304, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 5928, 'ainvs': [0, 1, 0, -16004, -480384], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112632, 'degree': 387072, 'elladic_images': ['4.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4284793645591060626950002831', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [37642192, 13689], 'lmfdb_iso': '112632.s', 'lmfdb_label': '112632.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -44, 84], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.a.1', '24.24.0.k.1', '52.24.0.b.1', '76.24.0.?', '104.48.0.?', '312.96.3.?', '456.48.0.?', '988.48.0.?', '1976.96.0.?', '5928.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 361], [3, 4, 37544], [13, 14, 8664], [19, 182, 312]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50583824539741104025433484715', 'prec': 107}, 'szpiro_ratio': 3.495173903136584, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 737518
    {'Ciso': '112632y', 'Clabel': '112632y1', 'Cnumber': 1, 'abc_quality': 0.9640836886559194, 'absD': 88069889232, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11856, 'ainvs': [0, 1, 0, -14199, -655830], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112632, 'degree': 193536, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0819057742791334079863842224', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [420616192, 117], 'lmfdb_iso': '112632.s', 'lmfdb_label': '112632.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -39, 108], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '26.6.0.b.1', '48.24.0.i.1', '52.12.0.g.1', '76.12.0.?', '104.48.0.?', '152.24.0.?', '624.96.3.?', '912.48.0.?', '988.24.0.?', '1976.96.0.?', '11856.192.3.?'], '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, 4693], [3, 4, 37544], [13, 14, 8664], [19, 182, 312]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.62136277549073525849054020070', 'prec': 107}, 'szpiro_ratio': 3.4643110094431315, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 737520
    {'Ciso': '112632y', 'Clabel': '112632y3', 'Cnumber': 3, 'abc_quality': 0.9668256784127743, 'absD': 12383330985133056, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 11856, 'ainvs': [0, 1, 0, 48976, -3339504], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 112632, 'degree': 774144, 'elladic_images': ['4.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7750529548390787174036163439', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [269676572, 257049], 'lmfdb_iso': '112632.s', 'lmfdb_label': '112632.s4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 136, 444], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '12.24.0.e.1', '76.24.0.?', '104.24.0.?', '208.48.0.?', '228.48.0.?', '312.48.1.?', '624.96.3.?', '1976.48.0.?', '3952.96.0.?', '5928.96.1.?', '11856.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 361], [3, 4, 37544], [13, 14, 8664], [19, 182, 312]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27478918521076260378192413993', 'prec': 107}, 'szpiro_ratio': 3.783639038698541, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}