Elliptic curve data - 18810.p6

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• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '18810z', 'Clabel': '18810z5', 'Cnumber': 5, 'abc_quality': 1.0065664714543725, 'absD': 28637294617478682085500, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 25080, 'ainvs': [1, -1, 1, -11601068, -17248121269], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 18810, 'degree': 2064384, 'elladic_images': ['4.6.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0362448055625931087940960261', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-236859095231405581781881, 39282983014374049500], 'lmfdb_iso': '18810.p', 'lmfdb_label': '18810.p6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1289008, 638819306], 'min_quad_twist_disc': -3, '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', '60.96.0-60.c.4.15', '190.6.0.?', '228.96.0.?', '264.96.0.?', '380.12.0.?', '440.12.0.?', '570.48.0.?', '1140.192.1.?', '1320.192.1.?', '1672.12.0.?', '5016.192.1.?', '8360.24.0.?', '25080.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.105650764487448452631247810', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.4869386612285382630964734076', 'prec': 100}, 'szpiro_ratio': 6.163841985326206, '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, 0, 1, -1, 0, -4, 1, 0, -1, 1, 0, 2, -4, 0, 1, -6, 0, 1, -1], 'aplist': [1, 0, -1, -4, 1, 2, -6, 1, 0, 6, -4, 2, -6, 8, 0, 6, 0, 14, -4, 12, -10, 8, 0, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 18810, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '18810.p', 'trace_hash': 1834487439851301648}
• 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': '0.0023054264446393024390292976221', 'prec': 110}, 'conductor': 18810, 'gens': [[272559793, 4485526043417, 63]], 'heights': [{'__RealLiteral__': 0, 'data': '19.105650764487448452631247810', 'prec': 100}], 'lmfdb_label': '18810.p6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.040533737691843353277010661198', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1953874921576053345799245717665988766', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[15963, -15967, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 2], '3': 'a', '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '18810.p6'}
• ec_torsion_growth •

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

  
  
  • id: 962171
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [4]}
  • id: 962173
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '18810.p6', 'torsion': [6]}
  • id: 962170
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 2]}
  • id: 962172
    {'degree': 2, 'field': [57, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [4]}
  • id: 962174
    {'degree': 3, 'field': [-836, 0, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [6]}
  • id: 962177
    {'degree': 4, 'field': [25, 0, -5, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [12]}
  • id: 962175
    {'degree': 4, 'field': [324, 0, 21, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 4]}
  • id: 962178
    {'degree': 4, 'field': [361, 0, 19, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [12]}
  • id: 962176
    {'degree': 4, 'field': [576, -24, -23, -1, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 6]}
  • id: 962181
    {'degree': 6, 'field': [-531, -6270, 4885, -1254, -5, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [12]}
  • id: 962179
    {'degree': 6, 'field': [25947, 0, -557, 0, 1, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [3, 6]}
  • id: 962182
    {'degree': 6, 'field': [47937, 0, -2945, 0, 19, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [12]}
  • id: 962180
    {'degree': 6, 'field': [772076, -119604, -708, 1527, 75, -3, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 6]}
  • id: 962184
    {'degree': 8, 'field': [36, 0, -7032, 0, 349, 0, -38, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [8]}
  • id: 962186
    {'degree': 8, 'field': [1296, 0, 252, 0, 13, 0, 7, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 12]}
  • id: 962183
    {'degree': 8, 'field': [151116, 16464, -15608, -1728, 905, -52, 22, -4, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 4]}
  • id: 962185
    {'degree': 8, 'field': [209764, 0, 119596, 0, -9075, 0, 166, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [8]}
  • id: 962187
    {'degree': 12, 'field': [36036009, 229128507, 493896321, 52596882, 11212471, 981231, 92570, -87099, 2823, 210, -67, -3, 1], 'lmfdb_label': '18810.p6', 'torsion': [6, 6]}
  • id: 962188
    {'degree': 12, 'field': [819791424, 0, -7298688, 0, -3247952, 0, 75680, 0, -708, 0, 32, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [3, 12]}
  • id: 962190
    {'degree': 12, 'field': [2143875204, 0, 132789372, 0, 6819628, 0, 140525, 0, 3207, 0, -13, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 12]}
  • id: 962189
    {'degree': 12, 'field': [2297955969, 0, 141174465, 0, 7762222, 0, 151829, 0, 3306, 0, -19, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [3, 12]}
  • id: 962195
    {'degree': 16, 'field': [2313441, 0, -3324906, 0, 4883545, 0, 169086, 0, -9876, 0, 4786, 0, 105, 0, -6, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [24]}
  • id: 962191
    {'degree': 16, 'field': [58767556, 0, -46893448, 0, 19689008, 0, 544404, 0, 190805, 0, -5376, 0, -22, 0, -28, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [4, 4]}
  • id: 962192
    {'degree': 16, 'field': [2840463616, 0, -360946736, 0, 156952612, 0, 48648052, 0, 5664265, 0, 327868, 0, 9562, 0, 136, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 8]}
  • id: 962194
    {'degree': 16, 'field': [20474184541, 845024248, -914617420, 129390000, -39753770, -31187416, 12482352, -1766120, 408375, 30280, -14328, 4616, -830, 0, 20, -8, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 12]}
  • id: 962196
    {'degree': 16, 'field': [3667179040144, 0, -329404099168, 0, 3098405576, 0, 193159872, 0, 15521081, 0, -844602, 0, 2339, 0, 182, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [24]}
  • id: 962193
    {'degree': 16, 'field': [11050997084416, 0, 402381092672, 0, 42475240036, 0, 1409415212, 0, 28276945, 0, -261592, 0, 7066, 0, 188, 0, 1], 'lmfdb_label': '18810.p6', 'torsion': [2, 8]}
  • id: 962197
    {'degree': 18, 'field': [34036607257012, 34729238980572, 12813365970540, -6288093828754, -1724208004968, 327813178098, 116408348969, -8308118133, -4214511975, 90251336, 104083800, 177138, -1814182, -25872, 24411, 599, -180, -3, 1], 'lmfdb_label': '18810.p6', '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: 423951
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '18810.p6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 423952
    {'conductor': 18810, 'conductor_valuation': 2, 'discriminant_valuation': 30, 'j_denominator_valuation': 24, 'kodaira_symbol': -28, 'lmfdb_label': '18810.p6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 423953
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '18810.p6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 423954
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '18810.p6', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 423955
    {'conductor': 18810, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '18810.p6', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1789647
    {'adelic_gens': [[5241, 1048, 11036, 7229], [12539, 25056, 16720, 20899], [1, 12, 12, 145], [5032, 21, 24795, 24706], [6271, 24, 6270, 1], [7936, 3, 7461, 24994], [9121, 24, 9132, 289], [15, 106, 23774, 15851], [25057, 24, 25056, 25], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '25080.384.5.?', 'conductor': 18810, 'lmfdb_label': '18810.p6', 'prime': 0}
  • id: 87903
    {'conductor': 18810, 'elladic_image': '4.6.0.1', 'lmfdb_label': '18810.p6', 'modell_image': '2B', 'prime': 2}
  • id: 87904
    {'conductor': 18810, 'elladic_image': '3.8.0.2', 'lmfdb_label': '18810.p6', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 868038
    {'lmfdb_iso': '18810.p', 'p': 7, 'prec': 20, 'unit': 3936128979493833, 'val': 1}
  • id: 868042
    {'lmfdb_iso': '18810.p', 'p': 13, 'prec': 20, 'unit': 93110565802533532702, 'val': 1}
  • id: 868044
    {'lmfdb_iso': '18810.p', 'p': 17, 'prec': 20, 'unit': 17839832406535824841469, 'val': 1}
  • id: 868041
    {'lmfdb_iso': '18810.p', 'p': 29, 'prec': 20, 'unit': 4905494665321703839087400886, 'val': 1}
  • id: 868050
    {'lmfdb_iso': '18810.p', 'p': 31, 'prec': 20, 'unit': 5624894083448214837772170345, 'val': 1}
  • id: 868037
    {'lmfdb_iso': '18810.p', 'p': 37, 'prec': 20, 'unit': 98890308671401281806629772688, 'val': 1}
  • id: 868039
    {'lmfdb_iso': '18810.p', 'p': 41, 'prec': 20, 'unit': 3075956415773466243628693930726, 'val': 1}
  • id: 868040
    {'lmfdb_iso': '18810.p', 'p': 43, 'prec': 20, 'unit': 7339724306672078738579543781082, 'val': 1}
  • id: 868045
    {'lmfdb_iso': '18810.p', 'p': 53, 'prec': 20, 'unit': 547263008573798174414394018765937, 'val': 1}
  • id: 868049
    {'lmfdb_iso': '18810.p', 'p': 61, 'prec': 20, 'unit': 281056505212057924260682103250631, 'val': 1}
  • id: 868036
    {'lmfdb_iso': '18810.p', 'p': 67, 'prec': 20, 'unit': 40785432601587312175078554350547390, 'val': 1}
  • id: 868048
    {'lmfdb_iso': '18810.p', 'p': 71, 'prec': 20, 'unit': 44578166955794822837810911781088746, 'val': 1}
  • id: 868046
    {'lmfdb_iso': '18810.p', 'p': 73, 'prec': 20, 'unit': 144250758125051336822888590617984412, 'val': 1}
  • id: 868043
    {'lmfdb_iso': '18810.p', 'p': 79, 'prec': 20, 'unit': 659100884893327445836034892838071053, 'val': 1}
  • id: 868047
    {'lmfdb_iso': '18810.p', 'p': 89, 'prec': 20, 'unit': 5738971249275397320349188459463439718, 'val': 1}
  • id: 868035
    {'lmfdb_iso': '18810.p', 'p': 97, 'prec': 20, 'unit': 47833826936357314427228337828240102317, 'val': 1}