Elliptic curve data - 24300.z2

Formats: - HTML - YAML - JSON - 2026-04-25T14:45:24.667752

• 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[]

  
  {'Ciso': '24300y', 'Clabel': '24300y1', 'Cnumber': 1, 'absD': 349920000, 'ainvs': [0, 0, 0, 0, 900], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 24300, 'degree': 10692, 'elladic_images': ['27.648.18.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31831716447968973613576505106', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '24300.z', 'lmfdb_label': '24300.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 900], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 6075], [3, 8, 10], [5, 14, 972]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.686404517150126, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 0, 0, 5, 0, 5, 0, 8, 0, 0, -4, 11, 0, 5, 0, 0, 0, -1, 11, 0, -10, -13, 0, 0, 14], 'class_deg': 3, 'class_size': 2, 'conductor': 24300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '24300.z', 'trace_hash': 85884613087496059}
• 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': '0.52907010675410497612245321702', 'prec': 103}, 'conductor': 24300, 'gens': [], 'heights': [], 'lmfdb_label': '24300.z2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3537919379756991630658299190', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0613758139270974891974897571439452627', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [[0, 30, 1]], 'xcoord_integral_points': [0]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a'}, 'iwp0': 5, 'lmfdb_label': '24300.z2'}
• ec_torsion_growth •

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

  
  
  • id: 1226860
    {'degree': 3, 'field': [-30, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [6]}
  • id: 1226861
    {'degree': 6, 'field': [961, -93, -84, 53, 6, -3, 1], 'lmfdb_label': '24300.z2', 'torsion': [2, 6]}
  • id: 1226862
    {'degree': 6, 'field': [3721, -183, -174, 113, 6, -3, 1], 'lmfdb_label': '24300.z2', 'torsion': [3, 3]}
  • id: 1226863
    {'degree': 9, 'field': [-8000, 0, 0, -2400, 0, 0, -60, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [9]}
  • id: 1226864
    {'degree': 12, 'field': [3750, 0, 0, 4500, 0, 0, 0, 0, 0, -30, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [12]}
  • id: 1226865
    {'degree': 12, 'field': [23520000, 0, 0, -504000, 0, 0, 21600, 0, 0, -240, 0, 0, 1], 'lmfdb_label': '24300.z2', 'torsion': [21]}
  • id: 1226867
    {'degree': 18, 'field': [1156, 11016, 121500, -188676, 99414, 11718, -36621, 17991, -423, -5414, 3807, -729, -216, -27, 189, -126, 45, -9, 1], 'lmfdb_label': '24300.z2', 'torsion': [6, 6]}
  • id: 1226866
    {'degree': 18, 'field': [3283183, -2329434, -1585161, 2433543, -241965, -744309, 382605, 54207, -89451, 18334, 8748, -3339, -609, 639, -9, -96, 45, -9, 1], 'lmfdb_label': '24300.z2', 'torsion': [3, 9]}
• 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: 557285
    {'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '24300.z2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 557286
    {'conductor': 24300, 'conductor_valuation': 5, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '24300.z2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 557287
    {'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '24300.z2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  {'conductor': 24300, 'elladic_image': '27.648.18.1', 'lmfdb_label': '24300.z2', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 24300.z does not appear in ec_padic