Elliptic curve data - 2800.g6

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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': '2800v', 'Clabel': '2800v3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 1404928000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 2520, 'ainvs': [0, 1, 0, 1792, 49588], 'analytic_rank': 1, 'bad_primes': [2, 5, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 2800, 'degree': 3456, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0150873825860524538921554637', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '2800.g', 'lmfdb_label': '2800.g6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '60.72.0-6.a.1.1', '63.36.0.a.1', '120.144.1.?', '126.216.7.?', '168.144.5.?', '420.144.1.?', '504.432.21.?', '840.288.5.?', '1260.432.7.?', '2520.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68484707064923811887271057865', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632437', 'prec': 107}, 'szpiro_ratio': 4.424878511040831, '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, -2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 4, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, -2, 0, 1, 0, 4, -6, -2, 0, -6, 4, -2, 6, 8, -12, -6, 6, 8, -4, 0, -2, -8, -6, -6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 2800, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '2800.g', 'trace_hash': 662291292879567945}
• 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': '0.13131257027910080932489274844', 'prec': 103}, 'conductor': 2800, 'gens': [[28, 350, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.68484707064923811887271057865', 'prec': 103}], 'lmfdb_label': '2800.g6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.59277770310210141078525885237', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4357724410939476573450722698428414876', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-22, 0, 1]], 'xcoord_integral_points': [-22, -21, 28, 42, 3178]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2800.g6'}
• ec_torsion_growth •

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

  
  
  • id: 145761
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [6]}
  • id: 145760
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 2]}
  • id: 145762
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [6]}
  • id: 145763
    {'degree': 4, 'field': [-46, -20, -6, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [4]}
  • id: 145766
    {'degree': 4, 'field': [14, -14, 15, -2, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 6]}
  • id: 145764
    {'degree': 4, 'field': [25, 0, -5, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [3, 6]}
  • id: 145765
    {'degree': 4, 'field': [274, 26, -25, -2, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 6]}
  • id: 145770
    {'degree': 8, 'field': [-71, -348, -438, -140, -38, 12, 10, -4, 1], 'lmfdb_label': '2800.g6', 'torsion': [12]}
  • id: 145768
    {'degree': 8, 'field': [16, 0, 31, 0, 17, 0, -1, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 4]}
  • id: 145771
    {'degree': 8, 'field': [41, -92, 140, -108, 85, -40, 18, -4, 1], 'lmfdb_label': '2800.g6', 'torsion': [12]}
  • id: 145767
    {'degree': 8, 'field': [121, 0, -162, 0, 58, 0, -2, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 4]}
  • id: 145769
    {'degree': 8, 'field': [196, -196, -14, -154, 183, -2, -11, -2, 1], 'lmfdb_label': '2800.g6', 'torsion': [6, 6]}
  • id: 145777
    {'degree': 16, 'field': [56, 112, 210, -1582, 3929, -6150, 6554, -5046, 3046, -1714, 972, -494, 234, -98, 34, -8, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 12]}
  • id: 145772
    {'degree': 16, 'field': [1156, 7232, 12736, 4896, -6344, -4688, 688, 2112, 168, -1072, 176, 48, 36, -8, -8, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [8]}
  • id: 145773
    {'degree': 16, 'field': [1681, -3772, 2724, -4024, 6179, -1120, -2440, 200, 1080, -164, -82, -148, 79, 8, -2, -4, 1], 'lmfdb_label': '2800.g6', 'torsion': [3, 12]}
  • id: 145774
    {'degree': 16, 'field': [3136, -12544, 12768, 34272, 6808, 11488, 14736, -3984, -3426, 2724, 1290, -572, -17, 84, -6, -4, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 12]}
  • id: 145775
    {'degree': 16, 'field': [6561, 0, 2916, 0, 81, 0, 900, 0, 1120, 0, 100, 0, 1, 0, 4, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 12]}
  • id: 145776
    {'degree': 16, 'field': [56464, -4064, 23068, -41412, 32094, -21716, 20616, -11346, 2629, 142, 130, -310, 264, -126, 38, -8, 1], 'lmfdb_label': '2800.g6', 'torsion': [2, 12]}
  • id: 145779
    {'degree': 18, 'field': [1953125, 0, 0, 0, 0, 0, 265625, 0, 0, 0, 0, 0, 1250, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [18]}
  • id: 145778
    {'degree': 18, 'field': [2259684, 3778488, 1704024, -6305544, -13521060, -13266540, -7205640, -1504044, 679698, 806100, 397896, 119616, 19321, 318, -933, -194, -45, 0, 1], 'lmfdb_label': '2800.g6', 'torsion': [18]}
• 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: 49758
    {'conductor': 2800, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '2800.g6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 49759
    {'conductor': 2800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2800.g6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 49760
    {'conductor': 2800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2800.g6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1682275
    {'adelic_gens': [[1606, 1515, 405, 196], [1, 6, 6, 37], [1, 36, 0, 1], [503, 0, 0, 2519], [19, 24, 1440, 1819], [179, 1740, 990, 1349], [1261, 540, 1530, 2161], [2485, 36, 2484, 37], [1261, 540, 0, 1541], [1, 0, 36, 1]], 'adelic_image': '2520.864.21.?', 'conductor': 2800, 'lmfdb_label': '2800.g6', 'prime': 0}
  • id: 14019
    {'conductor': 2800, 'elladic_image': '8.6.0.1', 'lmfdb_label': '2800.g6', 'modell_image': '2B', 'prime': 2}
  • id: 14020
    {'conductor': 2800, 'elladic_image': '3.12.0.1', 'lmfdb_label': '2800.g6', 'modell_image': '3Cs', 'prime': 3}
• ec_padic •

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

  
  
  • id: 89931
    {'lmfdb_iso': '2800.g', 'p': 13, 'prec': 20, 'unit': 612088665063297951528, 'val': 1}
  • id: 89933
    {'lmfdb_iso': '2800.g', 'p': 17, 'prec': 20, 'unit': 119922670849818801793188, 'val': 1}
  • id: 89934
    {'lmfdb_iso': '2800.g', 'p': 19, 'prec': 20, 'unit': 1558527223436441986393301, 'val': 1}
  • id: 89930
    {'lmfdb_iso': '2800.g', 'p': 29, 'prec': 20, 'unit': 185174603974686398537491705, 'val': 2}
  • id: 89941
    {'lmfdb_iso': '2800.g', 'p': 31, 'prec': 20, 'unit': 21130979959177202080883548616, 'val': 1}
  • id: 89927
    {'lmfdb_iso': '2800.g', 'p': 37, 'prec': 20, 'unit': 26031338393730103710871188455, 'val': 1}
  • id: 89928
    {'lmfdb_iso': '2800.g', 'p': 41, 'prec': 20, 'unit': 1768457080037291620167709490683, 'val': 1}
  • id: 89929
    {'lmfdb_iso': '2800.g', 'p': 43, 'prec': 20, 'unit': 5975626934139666993467805262206, 'val': 1}
  • id: 89939
    {'lmfdb_iso': '2800.g', 'p': 47, 'prec': 20, 'unit': 29654449842325415406190414707688, 'val': 1}
  • id: 89935
    {'lmfdb_iso': '2800.g', 'p': 53, 'prec': 20, 'unit': 482035287265237172610945503976250, 'val': 1}
  • id: 89936
    {'lmfdb_iso': '2800.g', 'p': 59, 'prec': 20, 'unit': 4385208736788396289590366808549506, 'val': 1}
  • id: 89940
    {'lmfdb_iso': '2800.g', 'p': 61, 'prec': 20, 'unit': 3459280554457848304015334720590525, 'val': 1}
  • id: 89926
    {'lmfdb_iso': '2800.g', 'p': 67, 'prec': 20, 'unit': 20854100954471435143828656843330265, 'val': 1}
  • id: 89937
    {'lmfdb_iso': '2800.g', 'p': 73, 'prec': 20, 'unit': 116369600406805133341618093795059429, 'val': 1}
  • id: 89932
    {'lmfdb_iso': '2800.g', 'p': 79, 'prec': 20, 'unit': 1020131293078092654211159976915715371, 'val': 1}
  • id: 89925
    {'lmfdb_iso': '2800.g', 'p': 83, 'prec': 20, 'unit': 608890748669101802416552240751723550, 'val': 1}
  • id: 89938
    {'lmfdb_iso': '2800.g', 'p': 89, 'prec': 20, 'unit': 2666567353251837338307855080242620743, 'val': 1}
  • id: 89924
    {'lmfdb_iso': '2800.g', 'p': 97, 'prec': 20, 'unit': 30193212870848397865992748878488824747, 'val': 1}