Elliptic curve data - 22050.cf3

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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': '22050bm', 'Clabel': '22050bm1', 'Cnumber': 1, 'abc_quality': 0.9433414068835279, 'absD': 68612896800, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, -1, 0, -1332, 22896], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 22050, 'degree': 21600, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79616162271782996549647361019', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 57, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-121945, 32], 'lmfdb_iso': '22050.cf', 'lmfdb_label': '22050.cf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3, 1], 'min_quad_twist_disc': 21, 'modell_images': ['3B', '5B.4.1'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.1', '8.2.0.a.1', '15.96.1.a.4', '24.8.0.a.1', '40.24.1.bx.1', '105.192.1.?', '120.192.9.?', '840.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8422659030389952894979031613', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.99433924821623159518728526886', 'prec': 107}, 'szpiro_ratio': 3.3567691488997626, '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, -1, 0, 1, 0, 0, 0, -1, 0, 0, 3, 0, -4, 0, 0, 1, 3, 0, -5, 0], 'aplist': [-1, 0, 0, 0, 3, -4, 3, -5, 6, 0, -2, -2, -3, 4, -12, 6, 0, -2, 13, -12, 11, -10, 9, 15, 2], 'class_deg': 15, 'class_size': 4, 'conductor': 22050, 'isogeny_matrix': [[1, 3, 15, 5], [3, 1, 5, 15], [15, 5, 1, 3], [5, 15, 3, 1]], 'lmfdb_iso': '22050.cf', 'trace_hash': 1263833079963487916}
• 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': '0.20345239240271263935068250922', 'prec': 103}, 'conductor': 22050, 'gens': [[-5, 174, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8422659030389952894979031613', 'prec': 100}], 'lmfdb_label': '22050.cf3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0439666361003211713919506883', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8465282751958807252105878945802821285', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '22050.cf3'}
• ec_torsion_growth •

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

  
  
  • id: 1119141
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [3]}
  • id: 1119142
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [5]}
  • id: 1119143
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [2]}
  • id: 1119144
    {'degree': 4, 'field': [16, 0, -13, 0, 1], 'lmfdb_label': '22050.cf3', 'torsion': [15]}
  • id: 1119148
    {'degree': 6, 'field': [-227, -119, 86, 3, -12, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [10]}
  • id: 1119147
    {'degree': 6, 'field': [-224, 924, 400, 55, 25, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [6]}
  • id: 1119145
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '22050.cf3', 'torsion': [2, 2]}
  • id: 1119146
    {'degree': 6, 'field': [331, -181, -10, 35, -10, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [3]}
  • id: 1119149
    {'degree': 12, 'field': [-320360984, 138990832, -29121436, -8035320, 5019800, -474088, -73586, 22948, -3980, 220, -1, -2, 1], 'lmfdb_label': '22050.cf3', 'torsion': [4]}
  • id: 1119153
    {'degree': 12, 'field': [2115, -1125, 2985, -930, 1765, -545, 576, -201, 115, -30, 15, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [15]}
  • id: 1119150
    {'degree': 12, 'field': [2916, 6804, 12636, 9180, 5220, -2106, -309, -321, 100, -25, 6, -1, 1], 'lmfdb_label': '22050.cf3', 'torsion': [3, 3]}
  • id: 1119152
    {'degree': 12, 'field': [6427, 10390, 3073, -16598, 6056, 4862, -2775, -634, 484, 50, -35, -2, 1], 'lmfdb_label': '22050.cf3', 'torsion': [2, 10]}
  • id: 1119154
    {'degree': 12, 'field': [9244, -2064, -19058, -4660, 9795, 2816, -2801, -602, 420, 60, -33, -2, 1], 'lmfdb_label': '22050.cf3', 'torsion': [30]}
  • id: 1119151
    {'degree': 12, 'field': [2408704, -161408, 230352, 202000, -4060, 1272, 5476, -24, -25, 80, 12, -4, 1], 'lmfdb_label': '22050.cf3', 'torsion': [2, 6]}
  • id: 1119155
    {'degree': 18, 'field': [-597449, -568872, 1123629, -478244, -677595, 791448, -70731, -232188, 135093, -15360, -12726, 8322, -3964, 1464, -225, -64, 18, -6, 1], 'lmfdb_label': '22050.cf3', 'torsion': [9]}
  • id: 1119156
    {'degree': 18, 'field': [97556, -248936, 267032, 51496, -103640, 179274, 26271, -86252, 114699, -62110, 25912, -7072, 3079, -1358, 610, -184, 49, -8, 1], 'lmfdb_label': '22050.cf3', 'torsion': [6]}
  • id: 1119157
    {'degree': 20, 'field': [1410941641, 2827663210, 2942848715, 1874737995, 734798300, 71914741, -100137290, -79891605, -28263385, -5300355, 1072566, 799150, 317315, 40785, 7885, -1319, 430, -50, 30, -5, 1], 'lmfdb_label': '22050.cf3', 'torsion': [5]}
• 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: 502662
    {'conductor': 22050, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '22050.cf3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 502663
    {'conductor': 22050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '22050.cf3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 502664
    {'conductor': 22050, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '22050.cf3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 502665
    {'conductor': 22050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '22050.cf3', 'prime': 7, '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: 1811316
    {'adelic_gens': [[631, 210, 735, 211], [721, 120, 720, 721], [279, 350, 560, 279], [421, 210, 525, 211], [1, 672, 0, 1], [1, 0, 120, 1], [599, 0, 0, 839], [281, 560, 280, 561], [1, 0, 630, 1], [561, 770, 280, 337], [1, 756, 420, 1], [526, 105, 525, 1], [1, 0, 420, 1], [1, 42, 210, 421]], 'adelic_image': '840.384.9.?', 'conductor': 22050, 'lmfdb_label': '22050.cf3', 'prime': 0}
  • id: 101872
    {'conductor': 22050, 'elladic_image': '8.2.0.1', 'lmfdb_label': '22050.cf3', 'modell_image': '2G', 'prime': 2}
  • id: 101873
    {'conductor': 22050, 'elladic_image': '3.4.0.1', 'lmfdb_label': '22050.cf3', 'modell_image': '3B', 'prime': 3}
  • id: 101874
    {'conductor': 22050, 'elladic_image': '5.12.0.1', 'lmfdb_label': '22050.cf3', 'modell_image': '5B.4.1', 'prime': 5}
• ec_padic •

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

  
  
  • id: 1036281
    {'lmfdb_iso': '22050.cf', 'p': 11, 'prec': 20, 'unit': 55400650627842602977, 'val': 1}
  • id: 1036279
    {'lmfdb_iso': '22050.cf', 'p': 13, 'prec': 20, 'unit': 260675417563082677036, 'val': 1}
  • id: 1036282
    {'lmfdb_iso': '22050.cf', 'p': 17, 'prec': 20, 'unit': 95973558431127039999948, 'val': 1}
  • id: 1036283
    {'lmfdb_iso': '22050.cf', 'p': 19, 'prec': 20, 'unit': 784936929218807400817192, 'val': 1}
  • id: 1036286
    {'lmfdb_iso': '22050.cf', 'p': 23, 'prec': 20, 'unit': 26266769309987442465478779, 'val': 1}
  • id: 1036290
    {'lmfdb_iso': '22050.cf', 'p': 31, 'prec': 20, 'unit': 2073832293571071458883605793, 'val': 1}
  • id: 1036275
    {'lmfdb_iso': '22050.cf', 'p': 37, 'prec': 20, 'unit': 525718720033549668807851539007, 'val': 1}
  • id: 1036277
    {'lmfdb_iso': '22050.cf', 'p': 41, 'prec': 20, 'unit': 4384716319032545522368901356075, 'val': 1}
  • id: 1036278
    {'lmfdb_iso': '22050.cf', 'p': 43, 'prec': 20, 'unit': 4839696260976793960407525976747, 'val': 1}
  • id: 1036280
    {'lmfdb_iso': '22050.cf', 'p': 47, 'prec': 20, 'unit': 45354129570214886166050922426924, 'val': 1}
  • id: 1036284
    {'lmfdb_iso': '22050.cf', 'p': 53, 'prec': 20, 'unit': 123550504364075824310241925269895, 'val': 1}
  • id: 1036289
    {'lmfdb_iso': '22050.cf', 'p': 61, 'prec': 20, 'unit': 180476459396931898816938407959003, 'val': 1}
  • id: 1036274
    {'lmfdb_iso': '22050.cf', 'p': 67, 'prec': 20, 'unit': 39761762260836464333172993636568442, 'val': 1}
  • id: 1036276
    {'lmfdb_iso': '22050.cf', 'p': 71, 'prec': 20, 'unit': 114168770050776555264859883970178890, 'val': 1}
  • id: 1036285
    {'lmfdb_iso': '22050.cf', 'p': 73, 'prec': 20, 'unit': 248219842828686075101846670968101483, 'val': 1}
  • id: 1036288
    {'lmfdb_iso': '22050.cf', 'p': 79, 'prec': 20, 'unit': 1004510289018719566751453802290150454, 'val': 1}
  • id: 1036273
    {'lmfdb_iso': '22050.cf', 'p': 83, 'prec': 20, 'unit': 1593301648587848913230831817788276091, 'val': 1}
  • id: 1036287
    {'lmfdb_iso': '22050.cf', 'p': 89, 'prec': 20, 'unit': 2548459458696904370869958619555756231, 'val': 1}
  • id: 1036272
    {'lmfdb_iso': '22050.cf', 'p': 97, 'prec': 20, 'unit': 19383560625763363144529145945701184591, 'val': 1}