Elliptic curve data - 202800.ht3

Formats: - HTML - YAML - JSON - 2026-04-17T10:00:15.879742

• 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': '202800hw', 'Clabel': '202800hw1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 1270657469250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -30983, -1220712], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 202800, 'degree': 688128, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5971717788905922242198886065', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 201, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '202800.ht', 'lmfdb_label': '202800.ht3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': -260, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0.z.1', '26.6.0.b.1', '52.12.0.g.1', '120.24.0.?', '260.24.0.?', '312.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4225], [3, 4, 67600], [5, 14, 8112], [13, 98, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548805', 'prec': 107}, 'szpiro_ratio': 3.4891409536190627, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 0, 0, 0, -2, -4, 0, 6, 0, -2, -6, -12, 4, -6, -8, -2, -4, -12, -14, 0, -8, 18, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 202800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '202800.ht', 'trace_hash': 253817448766724115}
• 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': '0.040993426361403216021332659826', 'prec': 107}, 'conductor': 202800, 'gens': [], 'heights': [], 'lmfdb_label': '202800.ht3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37183104639051846006983737073', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4873241855620738402793494829170359967', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-152, 0, 1]], 'xcoord_integral_points': [-152]}
• lmfdb_label 202800.ht3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8881182
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '202800.ht3', 'torsion': [2, 2]}
  • id: 8881184
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [4]}
  • id: 8881183
    {'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [4]}
  • id: 8881185
    {'degree': 4, 'field': [69, -4, 5, -2, 1], 'lmfdb_label': '202800.ht3', 'torsion': [2, 4]}
  • id: 8881189
    {'degree': 8, 'field': [-316875, 0, -91000, 0, -1950, 0, 0, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [6]}
  • id: 8881186
    {'degree': 8, 'field': [79, 212, -232, 44, -31, 8, 2, -4, 1], 'lmfdb_label': '202800.ht3', 'torsion': [2, 4]}
  • id: 8881187
    {'degree': 8, 'field': [81, -234, 208, -200, 200, 52, -25, -2, 1], 'lmfdb_label': '202800.ht3', 'torsion': [8]}
  • id: 8881188
    {'degree': 8, 'field': [35205, 8430, -7526, -1762, 767, 134, -40, -4, 1], 'lmfdb_label': '202800.ht3', 'torsion': [8]}
  • id: 8881193
    {'degree': 16, 'field': [-2432349, 7358364, -12560724, 15364122, -11241618, 5926230, -1313032, -348938, 74937, 63082, -940, 1170, -1430, -226, 6, -4, 1], 'lmfdb_label': '202800.ht3', 'torsion': [2, 6]}
  • id: 8881191
    {'degree': 16, 'field': [81, 0, -261, 0, 571, 0, -654, 0, 543, 0, -302, 0, 114, 0, -12, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [2, 8]}
  • id: 8881190
    {'degree': 16, 'field': [196, 0, 1360, 0, 4180, 0, 1308, 0, -507, 0, -60, 0, 46, 0, -8, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [4, 4]}
  • id: 8881192
    {'degree': 16, 'field': [6245001, 0, -3476256, 0, 1733278, 0, -504504, 0, 102663, 0, -13208, 0, 1062, 0, -48, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [2, 8]}
  • id: 8881195
    {'degree': 16, 'field': [20767956, -51829272, 48807992, -27863032, 13017116, -2694880, 152624, 277616, -126360, 23340, -2448, 472, 424, -140, 40, -8, 1], 'lmfdb_label': '202800.ht3', 'torsion': [12]}
  • id: 8881194
    {'degree': 16, 'field': [2312359569, 0, 1660370400, 0, 455961312, 0, 60567552, 0, 4370238, 0, 211608, 0, 6580, 0, 136, 0, 1], 'lmfdb_label': '202800.ht3', 'torsion': [12]}
• 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: 5020249
    {'conductor': 202800, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '202800.ht3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5020250
    {'conductor': 202800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '202800.ht3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5020251
    {'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '202800.ht3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5020252
    {'conductor': 202800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '202800.ht3', 'prime': 13, 'reduction_type': 0, '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: 2962321
    {'adelic_gens': [[1, 0, 8, 1], [1291, 1290, 130, 1531], [1, 8, 0, 1], [1, 4, 4, 17], [1439, 1440, 650, 809], [1024, 1245, 835, 934], [623, 0, 0, 1559], [7, 6, 1554, 1555], [1553, 8, 1552, 9], [521, 320, 1460, 1281]], 'adelic_image': '1560.48.0.?', 'conductor': 202800, 'lmfdb_label': '202800.ht3', 'prime': 0}
  • id: 750564
    {'conductor': 202800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '202800.ht3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 202800.ht does not appear in ec_padic