Elliptic curve data - 110670.c2

Formats: - HTML - YAML - JSON - 2025-01-30T02:13:45.652056

• 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': '110670d', 'Clabel': '110670d3', 'Cnumber': 3, 'abc_quality': 0.9712629337645156, 'absD': 3192006981271292609670, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 26040, 'ainvs': [1, 1, 0, -6468983, 5717150247], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 110670, 'degree': 10321920, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8606298929605851162461822060', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [29938624729513384169102329, 3192006981271292609670], 'lmfdb_iso': '110670.c', 'lmfdb_label': '110670.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -6468983, 5717150247], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '140.12.0.?', '280.24.0.?', '744.24.0.?', '26040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.6476222291943333787922184066', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 35], [3, 4, 5270], [5, 6, 7378], [7, 8, 15810], [17, 18, 6510], [31, 32, 3570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8606298929605851162461822060', 'prec': 100}, 'szpiro_ratio': 5.050769385077226, '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, 4, -1, 2, 1, 1, 1, 1, -1, 0, -1], 'aplist': [-1, -1, -1, -1, 4, 2, 1, 0, -8, 6, 1, -6, -10, 4, 12, -6, -12, -14, 8, -12, -14, -4, 12, -6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 110670, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '110670.c', 'trace_hash': 807473112316058285}
• 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': '0.0032755817701806724852778544710', 'prec': 110}, 'conductor': 110670, 'gens': [[22447, 1895537, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '6.6476222291943333787922184066', 'prec': 100}], 'lmfdb_label': '110670.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13745815251528155679751985315', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6550794809782825855269990720110220059', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[7307, -7307, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [14, 0], '3': [1, 0], '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [2, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '110670.c2'}
• ec_torsion_growth •

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

  
  
  • id: 5092727
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [2, 2]}
  • id: 5092729
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [4]}
  • id: 5092728
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [4]}
  • id: 5092730
    {'degree': 4, 'field': [289, 0, -36, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [2, 4]}
  • id: 5092734
    {'degree': 8, 'field': [-4504, -52211, 51752, 917, -455, -7, 7, -4, 1], 'lmfdb_label': '110670.c2', 'torsion': [6]}
  • id: 5092733
    {'degree': 8, 'field': [108243216, 0, -3037968, 0, 55144, 0, -292, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [8]}
  • id: 5092731
    {'degree': 8, 'field': [33149484900, 0, 0, 0, 343910, 0, 0, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [2, 4]}
  • id: 5092732
    {'degree': 8, 'field': [118274088100, 0, -1227070880, 0, 3209634, 0, -3128, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [8]}
  • id: 5092739
    {'degree': 16, 'field': [4370169566, 11038281016, -8234334659, -5553003256, 2642369528, 152202666, -35843381, -13356448, 4074233, -480694, 86571, 5432, -1057, 42, 14, -8, 1], 'lmfdb_label': '110670.c2', 'torsion': [12]}
  • id: 5092740
    {'degree': 16, 'field': [7900989859646, -1230832257002, 1241372056825, -15295119640, -6644486050, 16679134164, -4781075873, -653706400, 146538335, 10901600, -1827033, -187684, 27125, 1890, -250, -8, 1], 'lmfdb_label': '110670.c2', 'torsion': [12]}
  • id: 5092737
    {'degree': 16, 'field': [132992928449536, 0, -5542054804736, 0, 252851275280, 0, -7730529264, 0, 179299364, 0, -3168504, 0, 39860, 0, -296, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [2, 8]}
  • id: 5092738
    {'degree': 16, 'field': [636730588159626, 35444089548408, -32360315457955, -6059075122600, 2760183852980, 318122453194, -97594438613, -7126280480, 1640682525, 92445930, -17018013, -792344, 123655, 3850, -530, -8, 1], 'lmfdb_label': '110670.c2', 'torsion': [2, 6]}
  • id: 5092735
    {'degree': 16, 'field': [68680521820958000625, 0, -1795569197933542500, 0, 23471492783445000, 0, -175323942360000, 0, 793848312775, 0, -1925896000, 0, 2832200, 0, -2380, 0, 1], 'lmfdb_label': '110670.c2', 'torsion': [4, 4]}
  • id: 5092736
    {'degree': 16, 'field': [259089284697892910881, 0, -14300669907039698788, 0, 235012058219231168, 0, -1741351301704680, 0, 6573015086471, 0, -12986238120, 0, 13048928, 0, -6052, 0, 1], 'lmfdb_label': '110670.c2', '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: 2719496
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110670.c2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2719497
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '110670.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2719498
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '110670.c2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2719499
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '110670.c2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2719500
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '110670.c2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2719501
    {'conductor': 110670, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110670.c2', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2388747
    {'adelic_gens': [[26033, 8, 26032, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [9241, 8, 10924, 33], [8681, 8, 8684, 33], [11168, 3, 3725, 2], [7, 6, 26034, 26035], [9768, 22793, 16267, 16254], [5216, 3, 5, 2], [3256, 16283, 3259, 3288]], 'adelic_image': '26040.48.0.?', 'conductor': 110670, 'lmfdb_label': '110670.c2', 'prime': 0}
  • id: 439107
    {'conductor': 110670, 'elladic_image': '8.12.0.8', 'lmfdb_label': '110670.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 5773469
    {'lmfdb_iso': '110670.c', 'p': 11, 'prec': 20, 'unit': 15681963226165594851, 'val': 1}
  • id: 5773475
    {'lmfdb_iso': '110670.c', 'p': 13, 'prec': 20, 'unit': 362675525237132778378, 'val': 1}
  • id: 5773481
    {'lmfdb_iso': '110670.c', 'p': 23, 'prec': 20, 'unit': 62671658182317730806491751, 'val': 1}
  • id: 5773474
    {'lmfdb_iso': '110670.c', 'p': 29, 'prec': 20, 'unit': 1136897854957112983649170613, 'val': 1}
  • id: 5773470
    {'lmfdb_iso': '110670.c', 'p': 37, 'prec': 20, 'unit': 286105871905873138279806952337, 'val': 1}
  • id: 5773472
    {'lmfdb_iso': '110670.c', 'p': 41, 'prec': 20, 'unit': 1831789337073185764607411384629, 'val': 1}
  • id: 5773473
    {'lmfdb_iso': '110670.c', 'p': 43, 'prec': 20, 'unit': 7330580427262165797198808015101, 'val': 1}
  • id: 5773483
    {'lmfdb_iso': '110670.c', 'p': 47, 'prec': 20, 'unit': 24747575361005185595815741350166, 'val': 1}
  • id: 5773479
    {'lmfdb_iso': '110670.c', 'p': 53, 'prec': 20, 'unit': 478861910378910867476744784025360, 'val': 1}
  • id: 5773477
    {'lmfdb_iso': '110670.c', 'p': 59, 'prec': 20, 'unit': 3807536167367287827816693470067337, 'val': 1}
  • id: 5773484
    {'lmfdb_iso': '110670.c', 'p': 61, 'prec': 20, 'unit': 3617542884944410214933310051767832, 'val': 1}
  • id: 5773478
    {'lmfdb_iso': '110670.c', 'p': 67, 'prec': 20, 'unit': 26861621243680301181684089248609750, 'val': 1}
  • id: 5773471
    {'lmfdb_iso': '110670.c', 'p': 71, 'prec': 20, 'unit': 33858816835324338574594854740490383, 'val': 1}
  • id: 5773480
    {'lmfdb_iso': '110670.c', 'p': 73, 'prec': 20, 'unit': 103573656463625398136815098545045292, 'val': 1}
  • id: 5773476
    {'lmfdb_iso': '110670.c', 'p': 79, 'prec': 20, 'unit': 707843595576939454466975488609309751, 'val': 1}
  • id: 5773468
    {'lmfdb_iso': '110670.c', 'p': 83, 'prec': 20, 'unit': 108194357224132341508836023845441358, 'val': 1}
  • id: 5773482
    {'lmfdb_iso': '110670.c', 'p': 89, 'prec': 20, 'unit': 7337066206071804864410661377457512297, 'val': 1}
  • id: 5773467
    {'lmfdb_iso': '110670.c', 'p': 97, 'prec': 20, 'unit': 19164256064683105734269991335913368558, 'val': 1}