Elliptic curve isogeny class data - 30258.f

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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, 0, 1, 2, 0, -4, -1, 0, -2, -4, 0, -2, 4, 0, 1, 2, 0, 4, 2], 'aplist': [-1, 0, 2, -4, -4, -2, 2, 4, 0, -6, -8, -2, 0, 4, 12, -6, 4, -10, -12, -12, -6, -12, -12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 30258, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '30258.f', 'trace_hash': 1894942897061371961}
• lmfdb_iso 30258.f 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: 201325
    {'Ciso': '30258g', 'Clabel': '30258g4', 'Cnumber': 4, 'abc_quality': 0.9826480023940802, 'absD': 1863007309180665378, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 984, 'ainvs': [1, -1, 0, -6641946, 6589902874], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30258, 'degree': 1290240, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5692343288590502035664463835', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [9357915116017, 538002], 'lmfdb_iso': '30258.f', 'lmfdb_label': '30258.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -439, -3577], 'min_quad_twist_disc': -123, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '328.24.0.?', '984.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15129], [3, 8, 3362], [41, 882, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16314215117284145593544207852', 'prec': 103}, 'szpiro_ratio': 5.693264773096239, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 201323
    {'Ciso': '30258g', 'Clabel': '30258g2', 'Cnumber': 2, 'abc_quality': 0.9971398836095032, 'absD': 1886007399417463716, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 984, 'ainvs': [1, -1, 0, -439056, 90514732], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30258, 'degree': 645120, 'elladic_images': ['8.12.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2226607385790775488578303228', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [2703045457, 544644], 'lmfdb_iso': '30258.f', 'lmfdb_label': '30258.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -29, -51], 'min_quad_twist_disc': -123, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.b.1', '12.12.0-2.a.1.1', '24.24.0-8.b.1.3', '164.12.0.?', '328.24.0.?', '492.24.0.?', '984.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15129], [3, 8, 3362], [41, 882, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18343143910713119877317398218', 'prec': 107}, 'szpiro_ratio': 4.903384844428486, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 201322
    {'Ciso': '30258g', 'Clabel': '30258g1', 'Cnumber': 1, 'abc_quality': 0.9582556017330255, 'absD': 20444524654931856, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 984, 'ainvs': [1, -1, 0, -136476, -18111488], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30258, 'degree': 322560, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8760871482991048941492142620', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [81182737, 5904], 'lmfdb_iso': '30258.f', 'lmfdb_label': '30258.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -9, 9], 'min_quad_twist_disc': -123, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.2', '24.24.0-8.m.1.1', '82.6.0.?', '164.12.0.?', '328.24.0.?', '492.24.0.?', '984.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15129], [3, 8, 3362], [41, 882, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.53000502938710385348179004298', 'prec': 107}, 'szpiro_ratio': 4.5636294445568755, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 201324
    {'Ciso': '30258g', 'Clabel': '30258g3', 'Cnumber': 3, 'abc_quality': 0.9722432437306706, 'absD': 176132135467819805922, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 984, 'ainvs': [1, -1, 0, 922554, 539573710], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30258, 'degree': 1290240, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5692343288590502035664463835', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [25076571983, 50863698], 'lmfdb_iso': '30258.f', 'lmfdb_label': '30258.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 61, -285], 'min_quad_twist_disc': -123, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0-8.d.1.3', '328.24.0.?', '492.12.0.?', '984.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15129], [3, 8, 3362], [41, 882, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16314215117284145593544207852', 'prec': 103}, 'szpiro_ratio': 5.208286639164159, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}