Elliptic curve isogeny class data - 220704.c

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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, -2, 0, 2, 0, -2, 0, -1, 0], 'aplist': [0, -1, -2, -4, 0, -2, -2, -1, 4, 6, 0, 2, 6, -12, 4, 2, 12, 10, 4, 0, -10, -8, -12, -14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 220704, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '220704.c', 'trace_hash': 361466821108078888}
• lmfdb_iso 220704.c 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: 1410917
    {'Ciso': '220704s', 'Clabel': '220704s4', 'Cnumber': 4, 'abc_quality': 0.9835305767683096, 'absD': 155103708672, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [0, -1, 0, -220744, -39845672], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 220704, 'degree': 983040, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5625379976567857371350323761', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [1311494070536, 171], 'lmfdb_iso': '220704.c', 'lmfdb_label': '220704.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1824, 30600], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '88.24.0.?', '152.24.0.?', '836.12.0.?', '1672.48.0.?'], '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': '7.0030101625761597622875870643', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2299], [3, 4, 73568], [11, 62, 1824], [19, 20, 11616]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350398', 'prec': 107}, 'szpiro_ratio': 3.9438886482815247, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1410915
    {'Ciso': '220704s', 'Clabel': '220704s2', 'Cnumber': 2, 'abc_quality': 0.9683473674013149, 'absD': 904564828975104, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [0, -1, 0, -25329, 568449], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 220704, 'degree': 983040, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5625379976567857371350323761', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [247673152, 124659], 'lmfdb_iso': '220704.c', 'lmfdb_label': '220704.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -209, -351], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '44.12.0-4.c.1.1', '76.12.0.?', '88.24.0.?', '152.24.0.?', '836.24.0.?', '1672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7507525406440399405718967661', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2299], [3, 4, 73568], [11, 62, 1824], [19, 20, 11616]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32955681930234484431317153434', 'prec': 107}, 'szpiro_ratio': 3.4160260735700487, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1410914
    {'Ciso': '220704s', 'Clabel': '220704s1', 'Cnumber': 1, 'abc_quality': 1.1884890277128586, 'absD': 3315341772864, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [0, -1, 0, -13834, -615536], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 220704, 'degree': 491520, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2159644073768130824264163154', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [2582630848, 29241], 'lmfdb_iso': '220704.c', 'lmfdb_label': '220704.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -114, 504], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '44.12.0-2.a.1.1', '76.12.0.?', '88.24.0.?', '152.24.0.?', '836.24.0.?', '1672.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5015050812880798811437935321', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 73568], [11, 62, 1824], [19, 20, 11616]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.32955681930234484431317153431', 'prec': 107}, 'szpiro_ratio': 3.2685663882601372, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 1410916
    {'Ciso': '220704s', 'Clabel': '220704s3', 'Cnumber': 3, 'abc_quality': 1.034713906926563, 'absD': 1063856337781248, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1672, 'ainvs': [0, -1, 0, -2944, -1569500], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 220704, 'degree': 983040, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5625379976567857371350323761', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3112136, 1172889], 'lmfdb_iso': '220704.c', 'lmfdb_label': '220704.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24, 1188], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '44.12.0-4.c.1.2', '88.24.0.?', '152.24.0.?', '1672.48.0.?'], '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': '1.7507525406440399405718967661', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 73568], [11, 62, 1824], [19, 20, 11616]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15627002416235851695886350398', 'prec': 107}, 'szpiro_ratio': 3.4179906069122046, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}