Elliptic curve data - 1430.c1

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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
  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': '1430d', 'Clabel': '1430d3', 'Cnumber': 3, 'abc_quality': 0.9850622962184634, 'absD': 1020142489034240, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 51480, 'ainvs': [1, 0, 1, -93288, -11081802], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 1430, 'degree': 7776, 'elladic_images': ['9.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6938730168146114696643282992', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 2, 'isogeny_degrees': [1, 3, 9], 'jinv': [-89783052551043953401, 1020142489034240], 'lmfdb_iso': '1430.c', 'lmfdb_label': '1430.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -93288, -11081802], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '9.24.0-9.a.1.1', '117.72.0.?', '440.2.0.?', '1320.16.0.?', '3960.48.1.?', '51480.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.8013032447697984001884963362', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 55], [3, 2, 65], [5, 6, 286], [11, 12, 130], [13, 14, 110]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6938730168146114696643282992', 'prec': 100}, 'szpiro_ratio': 6.326311513588174, '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, 1, 1, 1, -1, -1, -1, -2, -1, -1, 1, 1, 1, 1, 1, -3, 2, -7, 1], 'aplist': [-1, 1, 1, -1, -1, 1, -3, -7, 0, -3, 5, -7, 0, -10, 12, -9, -6, -1, -4, 15, 2, 8, -6, 3, 8], 'class_deg': 9, 'class_size': 3, 'conductor': 1430, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '1430.c', 'trace_hash': 1877913876401179768}
• 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': '0.033784740814257596419191982952', 'prec': 107}, 'conductor': 1430, 'gens': [[17587, 1620205, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '8.8013032447697984001884963362', 'prec': 100}], 'lmfdb_label': '1430.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13649593023928336598150849517', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4026841474257534679574617951155099267', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 2], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1430.c1'}
• ec_torsion_growth •

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

  
  
  • id: 71284
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1430.c1', 'torsion': [3]}
  • id: 71285
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [2]}
  • id: 71286
    {'degree': 3, 'field': [12, 22, -1, 1], 'lmfdb_label': '1430.c1', 'torsion': [3]}
  • id: 71287
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '1430.c1', 'torsion': [2, 2]}
  • id: 71291
    {'degree': 6, 'field': [64, 16, 4, -16, -2, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [6]}
  • id: 71288
    {'degree': 6, 'field': [144, 264, 496, -46, -21, -1, 1], 'lmfdb_label': '1430.c1', 'torsion': [3, 3]}
  • id: 71290
    {'degree': 6, 'field': [325, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [9]}
  • id: 71289
    {'degree': 6, 'field': [2197, 0, 0, -26, 0, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [9]}
  • id: 71292
    {'degree': 9, 'field': [-101984, 2864, -39688, 8060, -1982, 1387, -82, 64, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [6]}
  • id: 71293
    {'degree': 12, 'field': [-255728, 262488, -159821, 89244, -43087, 15204, -4431, 1200, -171, -12, 7, -4, 1], 'lmfdb_label': '1430.c1', 'torsion': [4]}
  • id: 71294
    {'degree': 12, 'field': [64, 0, 0, 0, 0, 0, 1744, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [2, 6]}
  • id: 71295
    {'degree': 18, 'field': [3796416, 0, 0, 1411488, 0, 0, 265681, 0, 0, 24552, 0, 0, 766, 0, 0, -72, 0, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [3, 9]}
  • id: 71298
    {'degree': 18, 'field': [28427869, -41705532, 18695124, -31249826, 28605474, -1080624, 11277487, 42744, -11220, 355364, 24036, -2088, 3139, 900, 24, -18, -6, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [18]}
  • id: 71296
    {'degree': 18, 'field': [73864012, -177123312, 223303284, -211132972, 181151581, -139268726, 95348697, -62645350, 36699398, -15731586, 4290216, -663372, 48650, -1738, 86, 86, -5, -6, 1], 'lmfdb_label': '1430.c1', 'torsion': [3, 6]}
  • id: 71297
    {'degree': 18, 'field': [8583471181, 4496367516, 714968148, 1765908146, 571435362, 9441456, 108113551, -3898296, 117228, -2827652, 137124, 4200, 12019, -1956, 24, -30, -6, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [18]}
  • id: 71299
    {'degree': 18, 'field': [20986345600, -44668483200, 26399452000, 4794363680, 4700060680, -819966720, 588798956, -85515160, 54026534, -6238200, 2682755, -427340, 136370, -10960, 5400, -100, 104, 0, 1], 'lmfdb_label': '1430.c1', 'torsion': [2, 6]}
• 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: 21844
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '1430.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 21845
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1430.c1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 21846
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '1430.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 21847
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1430.c1', 'prime': 13, '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: 1673499
    {'adelic_gens': [[1, 18, 0, 1], [9370, 9, 32751, 51472], [38611, 25758, 0, 50051], [1, 18, 10, 181], [10, 9, 81, 73], [12871, 18, 0, 1], [10, 9, 25731, 51472], [35647, 18, 12060, 463], [10, 9, 10287, 51472], [1, 0, 18, 1], [51463, 18, 51462, 19]], 'adelic_image': '51480.144.3.?', 'conductor': 1430, 'lmfdb_label': '1430.c1', 'prime': 0}
  • id: 6893
    {'conductor': 1430, 'elladic_image': '9.24.0.3', 'lmfdb_label': '1430.c1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 37148
    {'lmfdb_iso': '1430.c', 'p': 7, 'prec': 20, 'unit': 7133047691928198, 'val': 1}
  • id: 37153
    {'lmfdb_iso': '1430.c', 'p': 17, 'prec': 20, 'unit': 127257851211574341572833, 'val': 1}
  • id: 37144
    {'lmfdb_iso': '1430.c', 'p': 19, 'prec': 20, 'unit': 537431649757788527087246, 'val': 1}
  • id: 37151
    {'lmfdb_iso': '1430.c', 'p': 29, 'prec': 20, 'unit': 3422516908303864554580323021, 'val': 1}
  • id: 37161
    {'lmfdb_iso': '1430.c', 'p': 31, 'prec': 20, 'unit': 7789956854638606198525150716, 'val': 1}
  • id: 37147
    {'lmfdb_iso': '1430.c', 'p': 37, 'prec': 20, 'unit': 279701705512024073094804375283, 'val': 1}
  • id: 37150
    {'lmfdb_iso': '1430.c', 'p': 43, 'prec': 20, 'unit': 10185846282893365660548576199530, 'val': 1}
  • id: 37159
    {'lmfdb_iso': '1430.c', 'p': 47, 'prec': 20, 'unit': 36400521958772790794901994510261, 'val': 1}
  • id: 37155
    {'lmfdb_iso': '1430.c', 'p': 53, 'prec': 20, 'unit': 132989363685614272144021511587586, 'val': 1}
  • id: 37156
    {'lmfdb_iso': '1430.c', 'p': 59, 'prec': 20, 'unit': 1855571591553876775408940562030634, 'val': 1}
  • id: 37160
    {'lmfdb_iso': '1430.c', 'p': 61, 'prec': 20, 'unit': 7265199662661894917356497697706082, 'val': 1}
  • id: 37146
    {'lmfdb_iso': '1430.c', 'p': 67, 'prec': 20, 'unit': 10976974441286405124177788784034802, 'val': 1}
  • id: 37158
    {'lmfdb_iso': '1430.c', 'p': 71, 'prec': 20, 'unit': 114661834441997528637422809308258671, 'val': 1}
  • id: 37149
    {'lmfdb_iso': '1430.c', 'p': 73, 'prec': 20, 'unit': 193211348777440186327182825385764573, 'val': 1}
  • id: 37152
    {'lmfdb_iso': '1430.c', 'p': 79, 'prec': 20, 'unit': 965307936313036404737676820978229103, 'val': 1}
  • id: 37154
    {'lmfdb_iso': '1430.c', 'p': 83, 'prec': 20, 'unit': 2006280395448037051616413847674126362, 'val': 1}
  • id: 37157
    {'lmfdb_iso': '1430.c', 'p': 89, 'prec': 20, 'unit': 37922027031155013456817567924772948, 'val': 2}
  • id: 37145
    {'lmfdb_iso': '1430.c', 'p': 97, 'prec': 20, 'unit': 41668426423744187442669284820507076238, 'val': 1}