Elliptic curve isogeny class data - 2850.p

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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, -4, 1, 1, 0, 0, -1, -2, -4, 0, 1, 2, 1, -1, 0], 'aplist': [1, -1, 0, -4, 0, -2, 2, -1, 0, 10, 0, -2, 2, 4, 0, 6, 8, 6, -12, 0, 14, 0, 12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2850, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2850.p', 'trace_hash': 235806217216184862}
• lmfdb_iso 2850.p 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: 16902
    {'Ciso': '2850q', 'Clabel': '2850q3', 'Cnumber': 3, 'abc_quality': 1.0509450729444698, 'absD': 12587291687610000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [1, 1, 1, -30836088, -65920459719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 215040, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8781260430338843857804627160', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [207530301091125281552569, 805586668007040], 'lmfdb_iso': '2850.p', 'lmfdb_label': '2850.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1233444, -527363678], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.y.1.5', '40.24.0-40.v.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 950], [5, 18, 38], [7, 2, 1425], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0734070868168341984800830494', 'prec': 100}, 'szpiro_ratio': 7.962991872841819, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 16903
    {'Ciso': '2850q', 'Clabel': '2850q4', 'Cnumber': 4, 'abc_quality': 1.0434886781558426, 'absD': 5158757273703750000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [1, 1, 1, -5844088, 4196148281], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 215040, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8781260430338843857804627160', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [1412712966892699019449, 330160465517040000], 'lmfdb_iso': '2850.p', 'lmfdb_label': '2850.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -233764, 33569186], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.s.1.6', '40.24.0-40.bb.1.5', '60.12.0-4.c.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 950], [5, 18, 38], [7, 2, 1425], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0734070868168341984800830494', 'prec': 100}, 'szpiro_ratio': 7.335748777269426, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 16901
    {'Ciso': '2850q', 'Clabel': '2850q2', 'Cnumber': 2, 'abc_quality': 1.028954463439331, 'absD': 49250078265600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [1, 1, 1, -1956088, -998219719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 107520, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5315524527539117310718466553', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [52974743974734147769, 3152005008998400], 'lmfdb_iso': '2850.p', 'lmfdb_label': '2850.p3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -78244, -7985758], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.b.1.6', '40.24.0-40.a.1.4', '60.24.0-60.b.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 4, 950], [5, 18, 38], [7, 2, 1425], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7268334965368615437714669887', 'prec': 100}, 'szpiro_ratio': 6.922999399866995, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 16900
    {'Ciso': '2850q', 'Clabel': '2850q1', 'Cnumber': 1, 'abc_quality': 1.0394954084659127, 'absD': 1839684648960000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [1, 1, 1, 91912, -64331719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 53760, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1849788624739390763632305946', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [5495662324535111, 117739817533440], 'lmfdb_iso': '2850.p', 'lmfdb_label': '2850.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3676, -514654], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.13', '30.6.0.a.1', '40.24.0-40.bb.1.2', '60.24.0-60.g.1.3', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 950], [5, 18, 38], [7, 2, 1425], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3802599062568888890628509280', 'prec': 100}, 'szpiro_ratio': 6.220364613434333, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}