Elliptic curve data - 100800.gr3

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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': '100800lw', 'Clabel': '100800lw2', 'Cnumber': 2, 'abc_quality': 0.9000658191294795, 'absD': 51438240000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 0, 0, -162300, 22678000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 100800, 'degree': 786432, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9403665840498084231106225778', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 173, 'isogeny_degrees': [1, 2, 4], 'jinv': [2533446736, 275625], 'lmfdb_iso': '100800.gr', 'lmfdb_label': '100800.gr3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -180, 900], 'min_quad_twist_disc': 120, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '24.48.0-24.i.1.6', '40.48.0-40.l.1.3', '56.48.0-56.h.1.29', '84.24.0.?', '120.96.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4137531452201524442830919642', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.22233022715456613754081718231', 'prec': 107}, 'szpiro_ratio': 4.132076017973268, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 0, 0, -1, 0, 0, 0, 4, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 0, -1, 4, -2, 2, -4, 0, -10, 0, 6, 6, 4, 8, -6, 4, 10, -4, -16, 14, -8, -4, -10, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 100800, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '100800.gr', 'trace_hash': 2253444383726513620}
• 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': '0.020635690204377818033989178196', 'prec': 107}, 'conductor': 100800, 'gens': [[296, 756, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4137531452201524442830919642', 'prec': 100}], 'lmfdb_label': '100800.gr3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.34459249814231054762283187051', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6540898096821729811114335622045052613', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[170, 0, 1], [290, 0, 1]], 'xcoord_integral_points': [-460, -430, 165, 170, 290, 296, 15290]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '100800.gr3'}
• ec_torsion_growth •

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

  
  
  • id: 4678138
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 4]}
  • id: 4678139
    {'degree': 4, 'field': [100, 0, 50, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 4]}
  • id: 4678140
    {'degree': 4, 'field': [625, 0, -20, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 4]}
  • id: 4678144
    {'degree': 8, 'field': [-1287075, 0, -66570, 0, 270, 0, 20, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 6]}
  • id: 4678143
    {'degree': 8, 'field': [81, 0, -36, 0, 7, 0, -4, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 8]}
  • id: 4678141
    {'degree': 8, 'field': [625, 0, 0, 0, 575, 0, 0, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [4, 4]}
  • id: 4678142
    {'degree': 8, 'field': [676, 0, -636, 0, 197, 0, -24, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 8]}
  • id: 4678145
    {'degree': 16, 'field': [7056, 0, 0, 0, -9744, 0, 25200, 0, 36796, 0, 14200, 0, 2616, 0, 100, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [4, 8]}
  • id: 4678147
    {'degree': 16, 'field': [5062500, 0, -11475000, 0, 1777500, 0, -972000, 0, 16200, 0, 1620, 0, 1800, 0, 30, 0, 1], 'lmfdb_label': '100800.gr3', 'torsion': [2, 12]}
  • id: 4678146
    {'degree': 16, 'field': [159758769, 90211320, -84398808, -22592868, 40015750, 7392716, -7613176, -1179456, 723283, 102172, -40328, -6824, 1906, 252, -64, -4, 1], 'lmfdb_label': '100800.gr3', '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: 2475071
    {'conductor': 100800, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '100800.gr3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2475072
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '100800.gr3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2475073
    {'conductor': 100800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '100800.gr3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2475074
    {'conductor': 100800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '100800.gr3', 'prime': 7, '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: 2326248
    {'adelic_gens': [[837, 206, 832, 619], [553, 838, 18, 5], [833, 8, 832, 9], [1, 0, 8, 1], [503, 832, 332, 807], [7, 6, 234, 835], [5, 4, 836, 837], [1, 8, 0, 1], [415, 628, 628, 419]], 'adelic_image': '840.192.1.?', 'conductor': 100800, 'lmfdb_label': '100800.gr3', 'prime': 0}
  • id: 404546
    {'conductor': 100800, 'elladic_image': '8.24.0.11', 'lmfdb_label': '100800.gr3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5246590
    {'lmfdb_iso': '100800.gr', 'p': 11, 'prec': 20, 'unit': 16693267354046661567, 'val': 1}
  • id: 5246596
    {'lmfdb_iso': '100800.gr', 'p': 13, 'prec': 20, 'unit': 1326182683759412848095, 'val': 1}
  • id: 5246598
    {'lmfdb_iso': '100800.gr', 'p': 17, 'prec': 20, 'unit': 224194474376315351660488, 'val': 1}
  • id: 5246599
    {'lmfdb_iso': '100800.gr', 'p': 19, 'prec': 20, 'unit': 1734347386924299082662515, 'val': 1}
  • id: 5246595
    {'lmfdb_iso': '100800.gr', 'p': 29, 'prec': 20, 'unit': 5962001839028210366784475733, 'val': 1}
  • id: 5246591
    {'lmfdb_iso': '100800.gr', 'p': 37, 'prec': 20, 'unit': 136717196126203680329703554192, 'val': 1}
  • id: 5246593
    {'lmfdb_iso': '100800.gr', 'p': 41, 'prec': 20, 'unit': 796743923134897865092509037170, 'val': 1}
  • id: 5246594
    {'lmfdb_iso': '100800.gr', 'p': 43, 'prec': 20, 'unit': 3761576923423370719934928220314, 'val': 1}
  • id: 5246605
    {'lmfdb_iso': '100800.gr', 'p': 47, 'prec': 20, 'unit': 27771793544882006156799321248955, 'val': 1}
  • id: 5246600
    {'lmfdb_iso': '100800.gr', 'p': 53, 'prec': 20, 'unit': 102448861338854546823991620964296, 'val': 1}
  • id: 5246601
    {'lmfdb_iso': '100800.gr', 'p': 59, 'prec': 20, 'unit': 51218879527220304843405648848389, 'val': 1}
  • id: 5246606
    {'lmfdb_iso': '100800.gr', 'p': 61, 'prec': 20, 'unit': 6471141698061862852643735987444171, 'val': 1}
  • id: 5246589
    {'lmfdb_iso': '100800.gr', 'p': 67, 'prec': 20, 'unit': 45309912166719160665598394347314141, 'val': 1}
  • id: 5246592
    {'lmfdb_iso': '100800.gr', 'p': 71, 'prec': 20, 'unit': 98218859933218267977906527070013068, 'val': 1}
  • id: 5246602
    {'lmfdb_iso': '100800.gr', 'p': 73, 'prec': 20, 'unit': 696694141381505236816157284943659, 'val': 2}
  • id: 5246597
    {'lmfdb_iso': '100800.gr', 'p': 79, 'prec': 20, 'unit': 394631127961418831942535446155243519, 'val': 1}
  • id: 5246603
    {'lmfdb_iso': '100800.gr', 'p': 83, 'prec': 20, 'unit': 1534866217368705334291490663741709673, 'val': 1}
  • id: 5246604
    {'lmfdb_iso': '100800.gr', 'p': 89, 'prec': 20, 'unit': 2959193073033031424000932674698369108, 'val': 1}
  • id: 5246588
    {'lmfdb_iso': '100800.gr', 'p': 97, 'prec': 20, 'unit': 449986903268936362316052737695270049, 'val': 1}