Elliptic curve data - 24300.w2

Formats: - HTML - YAML - JSON - 2026-04-25T18:44:43.930822

• 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': '24300d', 'Clabel': '24300d1', 'Cnumber': 1, 'absD': 341718750000, 'ainvs': [0, 0, 0, 0, 28125], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 24300, 'degree': 29160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89198706051009148696373401052', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '24300.w', 'lmfdb_label': '24300.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 225], 'min_quad_twist_disc': 5, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 6075], [3, 8, 10], [5, 2, 972]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 3.368111869987158, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 4, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 0, 0, 4, 0, 7, 0, -7, 0, 0, -4, 1, 0, -5, 0, 0, 0, -13, 16, 0, 7, -4, 0, 0, 19], 'class_deg': 3, 'class_size': 2, 'conductor': 24300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '24300.w', 'trace_hash': 39603685485214198}
• 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': '0.16796928880527876742545308189', 'prec': 103}, 'conductor': 24300, 'gens': [], 'heights': [], 'lmfdb_label': '24300.w2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.76279924268702976917023909045', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0511969707481190766809563617804300421', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '24300.w2'}
• ec_torsion_growth •

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

  
  
  • id: 1226498
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '24300.w2', 'torsion': [3]}
  • id: 1226499
    {'degree': 3, 'field': [-15, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [2]}
  • id: 1226502
    {'degree': 6, 'field': [-405, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [6]}
  • id: 1226501
    {'degree': 6, 'field': [240, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [3]}
  • id: 1226500
    {'degree': 6, 'field': [256, -48, -39, 23, 6, -3, 1], 'lmfdb_label': '24300.w2', 'torsion': [2, 2]}
  • id: 1226503
    {'degree': 12, 'field': [-6075, 0, 0, 0, 0, 0, -4050, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [4]}
  • id: 1226506
    {'degree': 12, 'field': [256, -96, -204, 550, -135, -216, 171, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '24300.w2', 'torsion': [2, 6]}
  • id: 1226504
    {'degree': 12, 'field': [58081, -1446, -3579, 9550, -3510, -1566, 621, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '24300.w2', 'torsion': [3, 3]}
  • id: 1226505
    {'degree': 12, 'field': [10886400, 0, 0, 0, 0, 0, 6480, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [7]}
  • id: 1226507
    {'degree': 18, 'field': [-512000, 0, 0, 0, 0, 0, 134400, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [9]}
  • id: 1226508
    {'degree': 18, 'field': [6859, 0, 0, -9192, 0, 0, 26295, 0, 0, 4340, 0, 0, 105, 0, 0, -12, 0, 0, 1], 'lmfdb_label': '24300.w2', 'torsion': [6]}
• 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: 557171
    {'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '24300.w2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 557172
    {'conductor': 24300, 'conductor_valuation': 5, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '24300.w2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 557173
    {'conductor': 24300, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '24300.w2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• lmfdb_label 24300.w2 does not appear in ec_galrep
• lmfdb_iso 24300.w does not appear in ec_padic