Elliptic curve data - 28560.e2

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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': '28560cf', 'Clabel': '28560cf3', 'Cnumber': 3, 'abc_quality': 0.9095518136666334, 'absD': 5484550901760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4760, 'ainvs': [0, -1, 0, -8576, 287040], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 28560, 'degree': 65536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1882972282372820878386933299', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [17032120495489, 1339001685], 'lmfdb_iso': '28560.e', 'lmfdb_label': '28560.e2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -536, -4485], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '56.12.0-4.c.1.5', '68.12.0-4.c.1.2', '170.6.0.?', '280.24.0.?', '340.24.0.?', '952.24.0.?', '4760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.1975015990516309263923576176', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49515004767733677842146120844', 'prec': 103}, 'szpiro_ratio': 3.780193605913281, '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, 0, -1, 0, -1, 0, -1, 0, 1, 0, 0, 0, -6, 0, 1, 0, -1, 0, -4, 0], 'aplist': [0, -1, -1, -1, 0, -6, -1, -4, 0, -2, 0, -6, -10, -4, -4, 6, -4, -14, 12, -12, -10, 12, -16, -6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 28560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '28560.e', 'trace_hash': 25539518354464062}
• 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': '0.092866299828268424026105797301', 'prec': 107}, 'conductor': 28560, 'gens': [[16, 392, 1], [114, 882, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0547671867796057693001632937', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.1383085945313299929345200223', 'prec': 100}], 'lmfdb_label': '28560.e2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.74504947656422129421695492693', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5489896644898276596590391454070986000', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[65, 0, 1]], 'xcoord_integral_points': [-104, -16, 16, 40, 65, 69, 114, 146]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [2, 0], '7': [2, 0], '11': [2, 4, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '28560.e2'}
• ec_torsion_growth •

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

  
  
  • id: 1431715
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '28560.e2', 'torsion': [2, 2]}
  • id: 1431717
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '28560.e2', 'torsion': [4]}
  • id: 1431716
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '28560.e2', 'torsion': [4]}
  • id: 1431718
    {'degree': 4, 'field': [9, 0, -11, 0, 1], 'lmfdb_label': '28560.e2', 'torsion': [2, 4]}
  • id: 1431722
    {'degree': 8, 'field': [-1875, 0, -575, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '28560.e2', 'torsion': [6]}
  • id: 1431720
    {'degree': 8, 'field': [-899, 8484, -6668, -3548, 1565, 248, -78, -4, 1], 'lmfdb_label': '28560.e2', 'torsion': [8]}
  • id: 1431719
    {'degree': 8, 'field': [3600, 0, 5600, 0, -20, 0, 20, 0, 1], 'lmfdb_label': '28560.e2', 'torsion': [2, 4]}
  • id: 1431721
    {'degree': 8, 'field': [1994728, 114888, -111158, -7400, 3551, 176, -54, -4, 1], 'lmfdb_label': '28560.e2', 'torsion': [8]}
  • id: 1431723
    {'degree': 16, 'field': [198916, 0, 284032, 0, 185908, 0, 24924, 0, -1875, 0, 84, 0, 118, 0, -8, 0, 1], 'lmfdb_label': '28560.e2', 'torsion': [4, 4]}
  • id: 1431724
    {'degree': 16, 'field': [225625, 0, -9267500, 0, 15793750, 0, -8730000, 0, 1820475, 0, -166800, 0, 7150, 0, -140, 0, 1], 'lmfdb_label': '28560.e2', 'torsion': [2, 8]}
  • id: 1431727
    {'degree': 16, 'field': [9231101, -5109542, 5587570, -900250, 316055, 148044, -35438, 3920, -22750, 17630, -6738, 1856, -370, 0, 20, -8, 1], 'lmfdb_label': '28560.e2', 'torsion': [12]}
  • id: 1431728
    {'degree': 16, 'field': [42379661, 10044022, -9913034, 760718, -2876749, 2834436, -699146, -164896, -14998, 36374, -6606, 176, -454, 168, -4, -8, 1], 'lmfdb_label': '28560.e2', 'torsion': [12]}
  • id: 1431726
    {'degree': 16, 'field': [2169230625, 0, -693522000, 0, -44618850, 0, 31930200, 0, -3578025, 0, 142840, 0, -2850, 0, 0, 0, 1], 'lmfdb_label': '28560.e2', 'torsion': [2, 6]}
  • id: 1431725
    {'degree': 16, 'field': [92273646096, -7973817120, -8397677376, -526807536, 380968012, -5041768, 20201508, 9467960, -1649373, 25204, 58752, -20216, 7581, -532, 162, -4, 1], 'lmfdb_label': '28560.e2', '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: 662638
    {'conductor': 28560, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '28560.e2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 662639
    {'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '28560.e2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 662640
    {'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28560.e2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 662641
    {'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '28560.e2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 662642
    {'conductor': 28560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28560.e2', 'prime': 17, '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: 1854911
    {'adelic_gens': [[1361, 8, 684, 33], [568, 3, 3925, 2], [4157, 4164, 4118, 1779], [1, 0, 8, 1], [1, 8, 0, 1], [7, 6, 4754, 4755], [1, 4, 4, 17], [4753, 8, 4752, 9], [2979, 2978, 4178, 1795], [1908, 1, 3831, 6]], 'adelic_image': '4760.48.0.?', 'conductor': 28560, 'lmfdb_label': '28560.e2', 'prime': 0}
  • id: 129205
    {'conductor': 28560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '28560.e2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1374637
    {'lmfdb_iso': '28560.e', 'p': 13, 'prec': 20, 'unit': 29873168120200094049, 'val': 2}
  • id: 1374640
    {'lmfdb_iso': '28560.e', 'p': 19, 'prec': 20, 'unit': 1249335677960968537019246, 'val': 2}
  • id: 1374636
    {'lmfdb_iso': '28560.e', 'p': 29, 'prec': 20, 'unit': 5463611589744225569712137276, 'val': 2}
  • id: 1374632
    {'lmfdb_iso': '28560.e', 'p': 37, 'prec': 20, 'unit': 165637326916869243225611416306, 'val': 2}
  • id: 1374634
    {'lmfdb_iso': '28560.e', 'p': 41, 'prec': 20, 'unit': 2768410094684203814723679414105, 'val': 2}
  • id: 1374635
    {'lmfdb_iso': '28560.e', 'p': 43, 'prec': 20, 'unit': 1045739013805978808554950250158, 'val': 2}
  • id: 1374644
    {'lmfdb_iso': '28560.e', 'p': 47, 'prec': 20, 'unit': 58721431461579111354517189325435, 'val': 2}
  • id: 1374641
    {'lmfdb_iso': '28560.e', 'p': 53, 'prec': 20, 'unit': 18839533074207314726565700019754, 'val': 2}
  • id: 1374639
    {'lmfdb_iso': '28560.e', 'p': 59, 'prec': 20, 'unit': 870672295984075230257351096475390, 'val': 2}
  • id: 1374645
    {'lmfdb_iso': '28560.e', 'p': 61, 'prec': 20, 'unit': 2732953301993613564858938605234392, 'val': 2}
  • id: 1374631
    {'lmfdb_iso': '28560.e', 'p': 67, 'prec': 20, 'unit': 24872747111726539809683899095130635, 'val': 2}
  • id: 1374633
    {'lmfdb_iso': '28560.e', 'p': 71, 'prec': 20, 'unit': 125538553861298991556090462925370030, 'val': 2}
  • id: 1374642
    {'lmfdb_iso': '28560.e', 'p': 73, 'prec': 20, 'unit': 223515212623929651472475247192631942, 'val': 2}
  • id: 1374638
    {'lmfdb_iso': '28560.e', 'p': 79, 'prec': 20, 'unit': 698398938757798294105916449018081493, 'val': 2}
  • id: 1374630
    {'lmfdb_iso': '28560.e', 'p': 83, 'prec': 20, 'unit': 72769974800798127794195743507776646, 'val': 2}
  • id: 1374643
    {'lmfdb_iso': '28560.e', 'p': 89, 'prec': 20, 'unit': 6594382185301632492023475135025317781, 'val': 2}
  • id: 1374629
    {'lmfdb_iso': '28560.e', 'p': 97, 'prec': 20, 'unit': 5983537849656595532920112124087126856, 'val': 2}