Elliptic curve data - 2310.u2

Formats: - HTML - YAML - JSON - 2025-10-18T14:33:04.645884

• 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': '2310t', 'Clabel': '2310t8', 'Cnumber': 8, 'abc_quality': 1.013360225210077, 'absD': 444872222400201750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, 0, 0, -341501, -69817269], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 2310, 'degree': 41472, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1224216312014297649249536570', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [4404531606962679693649, 444872222400201750], 'lmfdb_iso': '2310.u', 'lmfdb_label': '2310.u2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -341501, -69817269], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '4.6.0.c.1', '6.24.0-6.a.1.2', '12.48.0-12.g.1.10', '28.12.0-4.c.1.1', '40.12.0-4.c.1.2', '84.96.0.?', '120.96.0.?', '264.96.0.?', '280.24.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 35], [3, 4, 14], [5, 6, 462], [7, 8, 330], [11, 12, 210]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1224216312014297649249536570', 'prec': 100}, 'szpiro_ratio': 6.434719539656582, '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, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 2, 1, -1, 1, 6, 1, -4, -1], 'aplist': [1, 1, -1, 1, -1, 2, 6, -4, 0, 6, 8, -10, -6, 8, 0, 6, 12, 2, -4, 12, -10, -4, -12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 2310, 'isogeny_matrix': [[1, 4, 2, 12, 3, 4, 6, 12], [4, 1, 2, 3, 12, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [12, 3, 6, 1, 4, 12, 2, 4], [3, 12, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '2310.u', 'trace_hash': 955221116620206186}
• 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': '0.014337980803561434835119547341', 'prec': 107}, 'conductor': 2310, 'gens': [], 'heights': [], 'lmfdb_label': '2310.u2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.19877877863678069949048305614', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5780180154620525908286950105314553109', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[2671, -2671, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [3, 1], '5': [0, 0], '7': [3, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '2310.u2'}
• ec_torsion_growth •

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

  
  
  • id: 118330
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 2]}
  • id: 118331
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [4]}
  • id: 118332
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [4]}
  • id: 118333
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2310.u2', 'torsion': [6]}
  • id: 118334
    {'degree': 3, 'field': [-42, 0, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [6]}
  • id: 118335
    {'degree': 4, 'field': [9, 0, -34, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 4]}
  • id: 118338
    {'degree': 4, 'field': [49, 0, 7, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [12]}
  • id: 118337
    {'degree': 4, 'field': [100, 0, 10, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [12]}
  • id: 118336
    {'degree': 4, 'field': [4900, 0, 70, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 6]}
  • id: 118340
    {'degree': 6, 'field': [-141750, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 6]}
  • id: 118341
    {'degree': 6, 'field': [764, -2520, 300, -84, -30, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [12]}
  • id: 118342
    {'degree': 6, 'field': [1421, -1764, 147, -84, -21, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [12]}
  • id: 118339
    {'degree': 6, 'field': [1849, -129, -120, 77, 6, -3, 1], 'lmfdb_label': '2310.u2', 'torsion': [3, 6]}
  • id: 118346
    {'degree': 8, 'field': [81, 0, 306, 0, 1147, 0, 34, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 12]}
  • id: 118344
    {'degree': 8, 'field': [8266, 303368, -285524, -35416, 17029, 812, -266, -4, 1], 'lmfdb_label': '2310.u2', 'torsion': [8]}
  • id: 118345
    {'degree': 8, 'field': [50625, 0, 16425, 0, 1840, 0, 73, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [8]}
  • id: 118343
    {'degree': 8, 'field': [78136, -5632, 5096, 1064, -511, -28, 14, -4, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 4]}
  • id: 118350
    {'degree': 12, 'field': [-64600479, -12532968, 6585570, 2696736, 571239, -273168, -30556, 0, 3495, -168, -102, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 12]}
  • id: 118349
    {'degree': 12, 'field': [113569, -2022, -5019, 13390, -4950, -2142, 813, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2310.u2', 'torsion': [3, 12]}
  • id: 118348
    {'degree': 12, 'field': [583696, 1925280, 6121200, 627648, -98760, 176400, 17584, 0, 600, -168, 30, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [3, 12]}
  • id: 118347
    {'degree': 12, 'field': [27573001, -31506, -78729, 209950, -78660, -31626, 10641, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2310.u2', 'torsion': [6, 6]}
  • id: 118353
    {'degree': 16, 'field': [22500, 0, -44310000, 0, 100007500, 0, -74130000, 0, 19581525, 0, -1469300, 0, 41100, 0, -420, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 8]}
  • id: 118356
    {'degree': 16, 'field': [20584369, 0, 25808138, 0, 13690481, 0, 3238662, 0, 347564, 0, 11718, 0, -511, 0, -22, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [24]}
  • id: 118351
    {'degree': 16, 'field': [24860196, 0, 13877712, 0, 4253620, 0, 351792, 0, 4109, 0, 588, 0, 350, 0, -12, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [4, 4]}
  • id: 118355
    {'degree': 16, 'field': [629304471, 292221972, -343782078, 65262624, 75728053, -30328624, 20623214, -8378868, 4051798, -690956, 292306, -28472, 9913, -552, 158, -4, 1], 'lmfdb_label': '2310.u2', 'torsion': [24]}
  • id: 118352
    {'degree': 16, 'field': [1304423649, -1480904244, 2075494956, -1278533004, 867437278, -287260160, 118293908, -19553292, 5185399, -208024, 52684, -7468, 2458, -588, 104, -8, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 8]}
  • id: 118354
    {'degree': 16, 'field': [6167340736, 877031168, -353586112, 56320320, -60818240, 4141312, 3049704, -1241080, 648489, -24700, -6174, 3304, -1085, 0, 2, -4, 1], 'lmfdb_label': '2310.u2', 'torsion': [2, 12]}
  • id: 118357
    {'degree': 18, 'field': [50833922981184, 0, 0, -543871561968, 0, 0, 12262531260, 0, 0, -105341670, 0, 0, 434035, 0, 0, -983, 0, 0, 1], 'lmfdb_label': '2310.u2', 'torsion': [18]}
• 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: 39144
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.u2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 39145
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.u2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 39146
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2310.u2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 39147
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.u2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 39148
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '2310.u2', 'prime': 11, '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: 1678975
    {'adelic_gens': [[4242, 2719, 7037, 6692], [1, 12, 12, 145], [15, 106, 7934, 11], [1336, 3, 6141, 9154], [2326, 21, 2025, 8866], [7701, 6164, 8, 4653], [2521, 24, 2532, 289], [9217, 24, 9216, 25], [3712, 21, 8955, 8866], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 2310, 'lmfdb_label': '2310.u2', 'prime': 0}
  • id: 11411
    {'conductor': 2310, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2310.u2', 'modell_image': '2B', 'prime': 2}
  • id: 11412
    {'conductor': 2310, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2310.u2', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 2310.u does not appear in ec_padic