Elliptic curve data - 7335.c4

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7335c', 'Clabel': '7335c4', 'Cnumber': 4, 'abc_quality': 1.0048043387596701, 'absD': 2071620650088135, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19560, 'ainvs': [1, -1, 1, 28048, 1228466], 'analytic_rank': 1, 'bad_primes': [3, 5, 163], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7335, 'degree': 30720, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6265521046210509560682003526', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [3347467708032071, 2841729286815], 'lmfdb_iso': '7335.c', 'lmfdb_label': '7335.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3116, -45499], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '60.12.0-4.c.1.1', '120.24.0.?', '1630.6.0.?', '1956.12.0.?', '3260.12.0.?', '3912.24.0.?', '6520.24.0.?', '9780.24.0.?', '19560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.081415734616332598215760116', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 815], [5, 6, 1467], [163, 164, 45]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0772459602869961103705777341', 'prec': 100}, 'szpiro_ratio': 4.756931588541711, '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, 0, 3, 0, -1, 4, 0, 2, 0, 0, -1, 2, 0, 0, -1], 'aplist': [-1, 0, 1, 0, 4, 2, 2, 0, -8, -10, 4, 10, -2, -4, -12, -2, -4, -2, -4, 0, -10, -12, 0, 2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 7335, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7335.c', 'trace_hash': 420926223008293293}
• 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': '0.038654031200623040281849151542', 'prec': 107}, 'conductor': 7335, 'gens': [[23551, 3591903, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '10.081415734616332598215760116', 'prec': 100}], 'lmfdb_label': '7335.c4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30139420430321794585540938320', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0384802735846309792032581895452917881', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-165, 161, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 2], '3': 'a', '5': [2, 0], '7': [1, 1, 0], '11': [3, 0], '13': [5, 0], '17': [3, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0], '163': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7335.c4'}
• ec_torsion_growth •

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

  
  
  • id: 385110
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [4]}
  • id: 385109
    {'degree': 2, 'field': [204, -1, 1], 'lmfdb_label': '7335.c4', 'torsion': [2, 2]}
  • id: 385111
    {'degree': 2, 'field': [489, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [4]}
  • id: 385113
    {'degree': 4, 'field': [-7335, 0, -120, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [8]}
  • id: 385112
    {'degree': 4, 'field': [15876, 0, 237, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [2, 4]}
  • id: 385117
    {'degree': 8, 'field': [-71, -16, -14, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '7335.c4', 'torsion': [6]}
  • id: 385114
    {'degree': 8, 'field': [10627600, 0, 0, 0, -5705, 0, 0, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [2, 4]}
  • id: 385116
    {'degree': 8, 'field': [22657600, 0, -696400, 0, 15105, 0, -160, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [2, 8]}
  • id: 385115
    {'degree': 8, 'field': [860835600, 0, 0, 0, 297801, 0, 0, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [8]}
  • id: 385122
    {'degree': 16, 'field': [1613041621, 1269653992, -937563606, -619268710, 200910560, 120692304, -24475661, -12445928, 1830420, 789640, -95195, -32112, 3623, 770, -90, -8, 1], 'lmfdb_label': '7335.c4', 'torsion': [12]}
  • id: 385118
    {'degree': 16, 'field': [433669663296, -4314727872, 21464352, 2052625824, 2215046896, -56913792, 5314320, 2551312, 2817884, 144436, -12910, -2534, 2901, -18, 8, -4, 1], 'lmfdb_label': '7335.c4', 'torsion': [4, 4]}
  • id: 385121
    {'degree': 16, 'field': [332599001866209, 0, 1597930970805, 0, 341428675887, 0, -2665652934, 0, 111713055, 0, -1211646, 0, -2990, 0, 172, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [2, 6]}
  • id: 385120
    {'degree': 16, 'field': [2894679414950625, 0, 189426873780000, 0, -6343282327500, 0, 132999100200, 0, 1151367615, 0, -18132120, 0, -117900, 0, -480, 0, 1], 'lmfdb_label': '7335.c4', 'torsion': [16]}
  • id: 385123
    {'degree': 16, 'field': [4722773098386205, -321215237483000, 330551458978170, -18807168818854, 9741178119872, -407291521848, 139388017735, -3091088888, 753274800, 13483000, -3181271, 264288, -43957, -70, 30, -8, 1], 'lmfdb_label': '7335.c4', 'torsion': [12]}
  • id: 385119
    {'degree': 16, 'field': [958702275012676096, -1550789279079936, 1482124220761024, 137512953597024, -69210294811446, 535412901476, -163188541102, -13101469308, 3277669921, -748020, -636962, 428412, -70856, -280, 60, -8, 1], 'lmfdb_label': '7335.c4', '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: 150877
    {'conductor': 7335, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '7335.c4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 150878
    {'conductor': 7335, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7335.c4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 150879
    {'conductor': 7335, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7335.c4', 'prime': 163, '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: 1712479
    {'adelic_gens': [[19553, 8, 19552, 9], [13039, 19552, 13036, 19527], [1, 0, 8, 1], [1, 8, 0, 1], [7339, 7336, 17138, 7341], [1, 4, 4, 17], [15656, 3, 5, 2], [15004, 1, 3143, 6], [7339, 7338, 2458, 12235], [7, 6, 19554, 19555]], 'adelic_image': '19560.48.0.?', 'conductor': 7335, 'lmfdb_label': '7335.c4', 'prime': 0}
  • id: 36146
    {'conductor': 7335, 'elladic_image': '8.12.0.6', 'lmfdb_label': '7335.c4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 297773
    {'lmfdb_iso': '7335.c', 'p': 11, 'prec': 20, 'unit': 280047770265070958, 'val': 3}
  • id: 297778
    {'lmfdb_iso': '7335.c', 'p': 13, 'prec': 20, 'unit': 78118256039069427867, 'val': 2}
  • id: 297780
    {'lmfdb_iso': '7335.c', 'p': 17, 'prec': 20, 'unit': 2536937253155935486014, 'val': 2}
  • id: 297785
    {'lmfdb_iso': '7335.c', 'p': 23, 'prec': 20, 'unit': 22642261339635398263778092, 'val': 1}
  • id: 297777
    {'lmfdb_iso': '7335.c', 'p': 29, 'prec': 20, 'unit': 1226763064244449884213422247, 'val': 1}
  • id: 297789
    {'lmfdb_iso': '7335.c', 'p': 31, 'prec': 20, 'unit': 8852067933988125040929866642, 'val': 1}
  • id: 297774
    {'lmfdb_iso': '7335.c', 'p': 37, 'prec': 20, 'unit': 289110693512928416401757565100, 'val': 1}
  • id: 297775
    {'lmfdb_iso': '7335.c', 'p': 41, 'prec': 20, 'unit': 3207292635635931741671200844947, 'val': 1}
  • id: 297776
    {'lmfdb_iso': '7335.c', 'p': 43, 'prec': 20, 'unit': 201357742458700888382486016763, 'val': 2}
  • id: 297787
    {'lmfdb_iso': '7335.c', 'p': 47, 'prec': 20, 'unit': 32724946786878869452349314944283, 'val': 1}
  • id: 297782
    {'lmfdb_iso': '7335.c', 'p': 53, 'prec': 20, 'unit': 93822091635320100589461973574259, 'val': 1}
  • id: 297783
    {'lmfdb_iso': '7335.c', 'p': 59, 'prec': 20, 'unit': 986306713441959394206365030984046, 'val': 1}
  • id: 297788
    {'lmfdb_iso': '7335.c', 'p': 61, 'prec': 20, 'unit': 1105913362145120924887266116922393, 'val': 1}
  • id: 297781
    {'lmfdb_iso': '7335.c', 'p': 67, 'prec': 20, 'unit': 45510468504319545377569585269145498, 'val': 1}
  • id: 297784
    {'lmfdb_iso': '7335.c', 'p': 73, 'prec': 20, 'unit': 22035086250817264623573792953920190, 'val': 1}
  • id: 297779
    {'lmfdb_iso': '7335.c', 'p': 79, 'prec': 20, 'unit': 17252680455098502122813629083323884, 'val': 1}
  • id: 297786
    {'lmfdb_iso': '7335.c', 'p': 89, 'prec': 20, 'unit': 8494418958681920891000114924228911962, 'val': 1}
  • id: 297772
    {'lmfdb_iso': '7335.c', 'p': 97, 'prec': 20, 'unit': 32903440190293876874877871053621551678, 'val': 1}