Elliptic curve data - 1430.f2

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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': '1430g', 'Clabel': '1430g3', 'Cnumber': 3, 'abc_quality': 1.0122914741654505, 'absD': 26547449500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [1, 0, 0, -1436, -22484], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1430, 'degree': 2304, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.74642967373381816965462649107', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-327495950129089, 26547449500], 'lmfdb_iso': '1430.f', 'lmfdb_label': '1430.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1436, -22484], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '104.6.0.?', '110.6.0.?', '312.48.0.?', '330.48.0.?', '5720.12.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 55], [3, 2, 22], [5, 6, 286], [11, 12, 130], [13, 14, 110]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74642967373381816965462649107', 'prec': 103}, 'szpiro_ratio': 4.618252756694491, '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, -2, 1, -1, -2, -4, 1, 1, -1, 1, -2, 1, -4, 2, 1, -6, 1, 8, -1], 'aplist': [1, -2, -1, -4, 1, 1, -6, 8, 0, 0, -4, 2, 12, 8, 6, -12, 12, 8, 8, -12, -10, -4, 12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 1430, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1430.f', 'trace_hash': 890484030947608305}
• 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': '0.22472915723859572730201618787', 'prec': 103}, 'conductor': 1430, 'gens': [], 'heights': [], 'lmfdb_label': '1430.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.38598267402377787130632309611', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1579480220713336139189692883414212805', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[44, -22, 1]], 'xcoord_integral_points': [44]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [2, 1], '5': [0, 0], '11': [1, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '1430.f2'}
• ec_torsion_growth •

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

  
  
  • id: 71337
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [6]}
  • id: 71336
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 2]}
  • id: 71338
    {'degree': 3, 'field': [13, -7, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [6]}
  • id: 71339
    {'degree': 4, 'field': [-17, -52, -20, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [4]}
  • id: 71340
    {'degree': 4, 'field': [196, -14, -13, -1, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 6]}
  • id: 71341
    {'degree': 6, 'field': [75, 0, -29, 0, 1, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [3, 6]}
  • id: 71342
    {'degree': 6, 'field': [169, 104, 45, 18, 9, -2, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 6]}
  • id: 71345
    {'degree': 8, 'field': [289, -884, 2364, -1040, 417, -104, 20, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [12]}
  • id: 71343
    {'degree': 8, 'field': [10816, 0, 5552, 0, 844, 0, -27, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 4]}
  • id: 71344
    {'degree': 8, 'field': [18496, -17408, 11448, -6760, 1866, -140, 13, -2, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 4]}
  • id: 71347
    {'degree': 12, 'field': [-121840, -153440, -34704, 134496, -22952, -6352, -10816, -1024, 2252, 176, -82, -4, 1], 'lmfdb_label': '1430.f2', 'torsion': [12]}
  • id: 71346
    {'degree': 12, 'field': [28561, 17576, 3211, -1404, -1368, -1400, 465, 446, 72, -54, -5, -2, 1], 'lmfdb_label': '1430.f2', 'torsion': [6, 6]}
  • id: 71348
    {'degree': 16, 'field': [926831, -20671048, 83666824, -465104, 7723094, -8352240, -4748780, 1008120, 940040, -30696, -32768, 2912, 2482, -96, -28, -8, 1], 'lmfdb_label': '1430.f2', 'torsion': [8]}
  • id: 71349
    {'degree': 16, 'field': [116985856, 0, -60050432, 0, 21696000, 0, -5269952, 0, 851424, 0, 33892, 0, -115, 0, 27, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 12]}
  • id: 71350
    {'degree': 16, 'field': [1378562641, -1424862504, 683531044, -199094688, 32223210, 1872312, -1109696, -479232, 347307, -118248, 28096, -1872, -358, 0, 12, 0, 1], 'lmfdb_label': '1430.f2', 'torsion': [2, 12]}
  • id: 71351
    {'degree': 18, 'field': [7256313856, 0, 0, -502244864, 0, 0, 44644160, 0, 0, 550000, 0, 0, 23060, 0, 0, -134, 0, 0, 1], 'lmfdb_label': '1430.f2', '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: 21868
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1430.f2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 21869
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1430.f2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 21870
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1430.f2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 21871
    {'conductor': 1430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1430.f2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 1673506
    {'adelic_gens': [[11441, 12, 2860, 1], [9370, 3, 12453, 17152], [1, 0, 12, 1], [11, 2, 17110, 17151], [1, 6, 6, 37], [7875, 5008, 7838, 4997], [17149, 12, 17148, 13], [1, 12, 0, 1], [10, 3, 13701, 17152], [2641, 12, 15846, 73], [8581, 12, 6, 73]], 'adelic_image': '17160.96.1.?', 'conductor': 1430, 'lmfdb_label': '1430.f2', 'prime': 0}
  • id: 6900
    {'conductor': 1430, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1430.f2', 'modell_image': '2B', 'prime': 2}
  • id: 6901
    {'conductor': 1430, 'elladic_image': '3.8.0.2', 'lmfdb_label': '1430.f2', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 1430.f does not appear in ec_padic