Elliptic curve data - 90354.m2

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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': '90354l', 'Clabel': '90354l2', 'Cnumber': 2, 'abc_quality': 1.0515297197985145, 'absD': 15285060140778596124, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 24420, 'ainvs': [1, 1, 1, -262573544, -1637772491059], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 90354, 'degree': 17049600, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2741087840000745832675465013', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [15404978391891661, 117612], 'lmfdb_iso': '90354.m', 'lmfdb_label': '90354.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -191799, -32410935], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.18.0.a.1', '60.36.0.e.2', '132.6.0.?', '185.24.0.?', '220.36.0.?', '370.72.0.?', '444.6.0.?', '660.72.1.?', '1628.6.0.?', '2220.144.1.?', '4884.12.0.?', '8140.144.1.?', '24420.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '57.245461983857832519476771949', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 111], [3, 4, 30118], [5, 2, 30118], [11, 12, 8214], [37, 398, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56592034951690624999147474802', 'prec': 103}, 'szpiro_ratio': 6.114164308905453, '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, -2, -1, -2, 1, 1, -2, -1, -1, -6, -2, 2, 1, 2, 1, -4, -2], 'aplist': [1, -1, -2, -2, -1, -6, 2, -4, -6, -6, 0, 0, 8, 4, 8, -6, -14, 10, 12, -8, 6, 16, -16, 14, -8], 'class_deg': 10, 'class_size': 4, 'conductor': 90354, 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'lmfdb_iso': '90354.m', 'trace_hash': 1918553555781315189}
• 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': '0.0014326669552484255791191767872', 'prec': 110}, 'conductor': 90354, 'gens': [[6899114190336656155467367, 18019290691167260246650619430772821797, 6275394606]], 'heights': [{'__RealLiteral__': 0, 'data': '57.245461983857832519476771949', 'prec': 100}], 'lmfdb_label': '90354.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037504796503944863049888424524', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2939588049577996026559437774706722659', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-37421, 37417, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': 'a', '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '90354.m2'}
• ec_torsion_growth •

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

  
  
  • id: 4223374
    {'degree': 2, 'field': [-111, 0, 1], 'lmfdb_label': '90354.m2', 'torsion': [2, 2]}
  • id: 4223376
    {'degree': 4, 'field': [49, -7, 5, -1, 1], 'lmfdb_label': '90354.m2', 'torsion': [10]}
  • id: 4223375
    {'degree': 4, 'field': [444, 0, -37, 0, 1], 'lmfdb_label': '90354.m2', 'torsion': [4]}
  • id: 4223379
    {'degree': 8, 'field': [-131276, 85174, -62789, 22940, -4063, 536, -17, -2, 1], 'lmfdb_label': '90354.m2', 'torsion': [6]}
  • id: 4223377
    {'degree': 8, 'field': [-620, 3436, -2530, -1826, 949, -46, 20, -4, 1], 'lmfdb_label': '90354.m2', 'torsion': [2, 4]}
  • id: 4223380
    {'degree': 8, 'field': [5029, -1016, 1982, -246, 152, -6, -1, -2, 1], 'lmfdb_label': '90354.m2', 'torsion': [2, 10]}
  • id: 4223378
    {'degree': 8, 'field': [2857248, -220464, 226140, -11448, 5965, -292, 102, -4, 1], 'lmfdb_label': '90354.m2', 'torsion': [2, 4]}
  • id: 4223383
    {'degree': 16, 'field': [3256423, 10444825, 12654534, 6712964, 1567260, 559293, 210385, -161803, -95778, 1069, 3373, -96, 546, 91, -42, -4, 1], 'lmfdb_label': '90354.m2', 'torsion': [20]}
  • id: 4223381
    {'degree': 16, 'field': [110075314176, 0, -11115823104, 0, 1736626176, 0, 54282240, 0, 5976144, 0, -231954, 0, 9033, 0, -170, 0, 1], 'lmfdb_label': '90354.m2', 'torsion': [8]}
  • id: 4223382
    {'degree': 16, 'field': [1297084098816, 0, -370288162368, 0, 59083004160, 0, -3344026383, 0, 60058530, 0, -11079, 0, -4023, 0, -78, 0, 1], 'lmfdb_label': '90354.m2', 'torsion': [2, 6]}
  • id: 4223384
    {'degree': 20, 'field': [-114846126581504, 168668083916160, -108776341672064, 40735812954432, -6803502407056, -1451562832280, 1350573087736, -448023779880, 79739042020, -1473057204, -3832045053, 1412308322, -313347221, 51500084, -6663390, 679338, -55268, 2844, -33, -8, 1], 'lmfdb_label': '90354.m2', 'torsion': [10]}
• 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: 2209704
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90354.m2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2209705
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '90354.m2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2209706
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90354.m2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2209707
    {'conductor': 90354, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '90354.m2', 'prime': 37, '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: 2258889
    {'adelic_gens': [[6, 5, 12265, 46], [11, 16, 24180, 24071], [1962, 24415, 3665, 24338], [24401, 20, 24400, 21], [6, 13, 16195, 24236], [1, 10, 10, 101], [1, 0, 20, 1], [9771, 20, 24400, 24287], [11101, 6, 0, 1], [1, 20, 0, 1]], 'adelic_image': '24420.288.5.?', 'conductor': 90354, 'lmfdb_label': '90354.m2', 'prime': 0}
  • id: 366910
    {'conductor': 90354, 'elladic_image': '2.3.0.1', 'lmfdb_label': '90354.m2', 'modell_image': '2B', 'prime': 2}
  • id: 366911
    {'conductor': 90354, 'elladic_image': '5.6.0.1', 'lmfdb_label': '90354.m2', 'modell_image': '5B', 'prime': 5}
• ec_padic •

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

  
  
  • id: 4678255
    {'lmfdb_iso': '90354.m', 'p': 5, 'prec': 20, 'unit': 19004316338097, 'val': 1}
  • id: 4678256
    {'lmfdb_iso': '90354.m', 'p': 7, 'prec': 20, 'unit': 5790272496703923, 'val': 1}
  • id: 4678260
    {'lmfdb_iso': '90354.m', 'p': 13, 'prec': 20, 'unit': 630613268019411117628, 'val': 1}
  • id: 4678262
    {'lmfdb_iso': '90354.m', 'p': 17, 'prec': 20, 'unit': 197462500925995017352899, 'val': 1}
  • id: 4678263
    {'lmfdb_iso': '90354.m', 'p': 19, 'prec': 20, 'unit': 848380097510414130102953, 'val': 1}
  • id: 4678267
    {'lmfdb_iso': '90354.m', 'p': 23, 'prec': 20, 'unit': 18010549202265384997992995, 'val': 1}
  • id: 4678259
    {'lmfdb_iso': '90354.m', 'p': 29, 'prec': 20, 'unit': 4861401079559463696457231290, 'val': 1}
  • id: 4678257
    {'lmfdb_iso': '90354.m', 'p': 41, 'prec': 20, 'unit': 68890149851370361484752782441, 'val': 1}
  • id: 4678258
    {'lmfdb_iso': '90354.m', 'p': 43, 'prec': 20, 'unit': 615944354889238172153924806291, 'val': 1}
  • id: 4678270
    {'lmfdb_iso': '90354.m', 'p': 47, 'prec': 20, 'unit': 9071472445905748755123549236060, 'val': 1}
  • id: 4678264
    {'lmfdb_iso': '90354.m', 'p': 53, 'prec': 20, 'unit': 245527919259057827210185894881002, 'val': 1}
  • id: 4678265
    {'lmfdb_iso': '90354.m', 'p': 59, 'prec': 20, 'unit': 224554966232926582066614361918260, 'val': 1}
  • id: 4678271
    {'lmfdb_iso': '90354.m', 'p': 61, 'prec': 20, 'unit': 1355054330971957937629070591663431, 'val': 1}
  • id: 4678254
    {'lmfdb_iso': '90354.m', 'p': 67, 'prec': 20, 'unit': 28904784876765782697478466956956073, 'val': 1}
  • id: 4678269
    {'lmfdb_iso': '90354.m', 'p': 71, 'prec': 20, 'unit': 124127817630063265190624471296338127, 'val': 1}
  • id: 4678266
    {'lmfdb_iso': '90354.m', 'p': 73, 'prec': 20, 'unit': 85002547523389536413714729036921122, 'val': 1}
  • id: 4678261
    {'lmfdb_iso': '90354.m', 'p': 79, 'prec': 20, 'unit': 174141669832394169089794285895738895, 'val': 1}
  • id: 4678253
    {'lmfdb_iso': '90354.m', 'p': 83, 'prec': 20, 'unit': 2490070047738665260502360543678862037, 'val': 1}
  • id: 4678268
    {'lmfdb_iso': '90354.m', 'p': 89, 'prec': 20, 'unit': 4859213257166520304198794498112912435, 'val': 1}
  • id: 4678252
    {'lmfdb_iso': '90354.m', 'p': 97, 'prec': 20, 'unit': 50691623661933436279765005522675422823, 'val': 1}