Elliptic curve isogeny class data - 672.c

Formats: - HTML - YAML - JSON - 2026-04-20T13:59:04.204250

• 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, 0, 0, -1, 0, 1, 0, -2, 0, -2, 0, 0, 0, 4, 0, -4, 0], 'aplist': [0, -1, 0, -1, -2, -2, 4, -4, -6, -2, 0, -6, 8, -8, -4, -6, 0, -14, 4, -2, -2, 4, 12, 0, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 672, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '672.c', 'trace_hash': 1142972884310461384}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 12212
    {'lmfdb_iso': '672.c', 'p': 11, 'prec': 20, 'unit': 18803081757652537889, 'val': 1}
  • id: 12218
    {'lmfdb_iso': '672.c', 'p': 13, 'prec': 20, 'unit': 114992289882096575865, 'val': 1}
  • id: 12220
    {'lmfdb_iso': '672.c', 'p': 17, 'prec': 20, 'unit': 164581607217510831900547, 'val': 1}
  • id: 12221
    {'lmfdb_iso': '672.c', 'p': 19, 'prec': 20, 'unit': 1584070902052630098273589, 'val': 1}
  • id: 12224
    {'lmfdb_iso': '672.c', 'p': 23, 'prec': 20, 'unit': 263633548628400447991758, 'val': 2}
  • id: 12217
    {'lmfdb_iso': '672.c', 'p': 29, 'prec': 20, 'unit': 5783565129369308779320525768, 'val': 1}
  • id: 12213
    {'lmfdb_iso': '672.c', 'p': 37, 'prec': 20, 'unit': 596956611083263414154454114394, 'val': 1}
  • id: 12215
    {'lmfdb_iso': '672.c', 'p': 41, 'prec': 20, 'unit': 3529589047168888986322834962636, 'val': 1}
  • id: 12216
    {'lmfdb_iso': '672.c', 'p': 43, 'prec': 20, 'unit': 2580945087162175751724524154057, 'val': 1}
  • id: 12219
    {'lmfdb_iso': '672.c', 'p': 47, 'prec': 20, 'unit': 23481075814593360641842460813560, 'val': 1}
  • id: 12222
    {'lmfdb_iso': '672.c', 'p': 53, 'prec': 20, 'unit': 237120132443787781241884340065050, 'val': 1}
  • id: 12227
    {'lmfdb_iso': '672.c', 'p': 61, 'prec': 20, 'unit': 5172601394942649319447838384440994, 'val': 1}
  • id: 12211
    {'lmfdb_iso': '672.c', 'p': 67, 'prec': 20, 'unit': 43989751525997802237183781524041069, 'val': 1}
  • id: 12214
    {'lmfdb_iso': '672.c', 'p': 71, 'prec': 20, 'unit': 9409927296481486739774297011647522, 'val': 1}
  • id: 12223
    {'lmfdb_iso': '672.c', 'p': 73, 'prec': 20, 'unit': 1490473094791102221216059489849117, 'val': 2}
  • id: 12226
    {'lmfdb_iso': '672.c', 'p': 79, 'prec': 20, 'unit': 1021800481798657764004010393213490513, 'val': 1}
  • id: 12225
    {'lmfdb_iso': '672.c', 'p': 83, 'prec': 20, 'unit': 572421150827109758831196327302286744, 'val': 1}
  • id: 12210
    {'lmfdb_iso': '672.c', 'p': 97, 'prec': 20, 'unit': 35974499938926099174471980945639867628, 'val': 1}
• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 3145
    {'Ciso': '672a', 'Clabel': '672a2', 'Cnumber': 2, 'abc_quality': 1.024614455038471, 'absD': 258048, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, -1, 0, -33, 81], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 672, 'degree': 64, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.21054341011476824232064946821', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1000000, 63], 'lmfdb_iso': '672.c', 'lmfdb_label': '672.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -33, 81], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.30718570183447313021381920005', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 224], [7, 8, 96]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90369059067471355173788158967', 'prec': 107}, 'szpiro_ratio': 3.3997539831737367, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 3144
    {'Ciso': '672a', 'Clabel': '672a1', 'Cnumber': 1, 'abc_quality': 0.9436487935341548, 'absD': 9408, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, -1, 0, 2, 4], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 672, 'degree': 32, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.55711700039474089702926552894', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [8000, 147], 'lmfdb_iso': '672.c', 'lmfdb_label': '672.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2, 4], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.b.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61437140366894626042763840010', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 3], [3, 4, 224], [7, 8, 96]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90369059067471355173788158967', 'prec': 107}, 'szpiro_ratio': 2.5455264706865437, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}