Elliptic curve data - 14994.g4

Formats: - HTML - YAML - JSON - 2025-09-28T06:58:30.575725

• 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[]

  
  {'Ciso': '14994bi', 'Clabel': '14994bi2', 'Cnumber': 2, 'abc_quality': 1.0972067382550121, 'absD': 3839970756602740772081664, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 2856, 'ainvs': [1, -1, 0, -40009293, 24490000485], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 14994, 'degree': 2949120, 'elladic_images': ['8.48.0.97'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4082430076247839513678739899', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [82582985847542515777, 44772582831427584], 'lmfdb_iso': '14994.g', 'lmfdb_label': '14994.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -90724, 2605541], 'min_quad_twist_disc': 21, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0.i.1', '68.24.0.c.1', '84.24.0.?', '136.96.1.?', '168.96.0.?', '1428.48.0.?', '2856.192.1.?'], '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, 441], [3, 8, 833], [7, 32, 306], [17, 18, 882]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8859817887630724531175749997', 'prec': 100}, 'szpiro_ratio': 6.669242461336836, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, 0, -1, 0, 2, -4, 0, 2, 0, 0, 1, 1, 0, -4, -2], 'aplist': [-1, 0, -2, 0, -4, 2, 1, -4, -8, -6, 0, -2, 10, -4, 0, -6, -4, -6, -12, 8, 6, 0, -12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 14994, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '14994.g', 'trace_hash': 1039843131201656000}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0010955639611876737177087690301', 'prec': 110}, 'conductor': 14994, 'gens': [], 'heights': [], 'lmfdb_label': '14994.g4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.068473483108639238047870631872', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.27389393243455695219148252748723033469', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[618, -309, 1], [5994, -2997, 1]], 'xcoord_integral_points': [618, 5994]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': 'a', '7': 'a', '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '14994.g4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 771030
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 4]}
  • id: 771031
    {'degree': 4, 'field': [1, 0, 19, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 4]}
  • id: 771033
    {'degree': 4, 'field': [7, 14, -13, -2, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 8]}
  • id: 771032
    {'degree': 4, 'field': [646, -34, 35, -2, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 4]}
  • id: 771037
    {'degree': 8, 'field': [-152, -2860, 2758, 203, -98, -7, 7, -4, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 6]}
  • id: 771036
    {'degree': 8, 'field': [1101, -402, 592, -402, 257, -70, 28, -4, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 8]}
  • id: 771035
    {'degree': 8, 'field': [1849, 0, 1566, 0, 311, 0, -30, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 8]}
  • id: 771034
    {'degree': 8, 'field': [8101, 538, -356, -362, 177, 2, 4, -4, 1], 'lmfdb_label': '14994.g4', 'torsion': [4, 4]}
  • id: 771041
    {'degree': 16, 'field': [12544, 0, -21504, 0, -10720, 0, 14336, 0, 6564, 0, -592, 0, -348, 0, 8, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 16]}
  • id: 771039
    {'degree': 16, 'field': [1212201, 0, -1141980, 0, 593170, 0, -148060, 0, 41907, 0, -7460, 0, 738, 0, -40, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [4, 8]}
  • id: 771042
    {'degree': 16, 'field': [1971216, 0, -371685, 0, -65966, 0, -120531, 0, 41715, 0, -7663, 0, 807, 0, -42, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 12]}
  • id: 771040
    {'degree': 16, 'field': [65626201, 0, -8584204, 0, -2543026, 0, 164520, 0, 48947, 0, -360, 0, -346, 0, -4, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [4, 8]}
  • id: 771038
    {'degree': 16, 'field': [601819024, 0, 219580976, 0, 55165676, 0, 8871348, 0, 837137, 0, 51816, 0, 2342, 0, 68, 0, 1], 'lmfdb_label': '14994.g4', 'torsion': [2, 8]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 330901
    {'conductor': 14994, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '14994.g4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 330902
    {'conductor': 14994, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '14994.g4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 330903
    {'conductor': 14994, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '14994.g4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 330904
    {'conductor': 14994, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14994.g4', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1763806
    {'adelic_gens': [[5, 4, 2852, 2853], [2447, 0, 0, 2855], [1, 0, 8, 1], [1903, 0, 0, 2855], [1, 8, 0, 1], [2849, 8, 2848, 9], [463, 1638, 2226, 1219], [2521, 1260, 1260, 1429], [547, 378, 1764, 1933]], 'adelic_image': '2856.192.1.?', 'conductor': 14994, 'lmfdb_label': '14994.g4', 'prime': 0}
  • id: 70894
    {'conductor': 14994, 'elladic_image': '8.48.0.97', 'lmfdb_label': '14994.g4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 14994.g does not appear in ec_padic