Elliptic curve data - 235200.go4

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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': '235200go', 'Clabel': '235200go1', 'Cnumber': 1, 'abc_quality': 1.0384110894370049, 'absD': 15318258041205000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, 102492, 187847262], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 235200, 'degree': 3538944, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3606458467060732063714246841', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 170, 'isogeny_degrees': [1, 2, 4], 'jinv': [1012048064, 130203045], 'lmfdb_iso': '235200.go', 'lmfdb_label': '235200.go4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 335, 34945], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0.h.1', '24.12.0.y.1', '56.12.0-4.c.1.2', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23639822568139371180975258504', 'prec': 103}, 'szpiro_ratio': 4.174077412672094, '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, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 0, 0, -2, -2, 4, -8, 2, -4, -6, 6, -4, 0, 6, 0, 6, 4, 8, 10, 12, -4, 6, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 235200, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '235200.go', 'trace_hash': 2225372637540817085}
• 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': '0.0089036703052015083316431527057', 'prec': 110}, 'conductor': 235200, 'gens': [], 'heights': [], 'lmfdb_label': '235200.go4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17009037445848661016422356579', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3607229956678928813137885263153755014', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-513, 0, 1]], 'xcoord_integral_points': [-513]}
• lmfdb_label 235200.go4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10171889
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [4]}
  • id: 10171888
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [2, 2]}
  • id: 10171890
    {'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [4]}
  • id: 10171891
    {'degree': 4, 'field': [361, 0, -18, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [2, 4]}
  • id: 10171895
    {'degree': 8, 'field': [-826875, 0, -126000, 0, -3150, 0, 0, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [6]}
  • id: 10171893
    {'degree': 8, 'field': [4900, 0, 2100, 0, -265, 0, -30, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [8]}
  • id: 10171892
    {'degree': 8, 'field': [9681, -9128, 3082, -80, -84, 20, -2, -4, 1], 'lmfdb_label': '235200.go4', 'torsion': [2, 4]}
  • id: 10171894
    {'degree': 8, 'field': [21316, 0, 2120, 0, 312, 0, 20, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [8]}
  • id: 10171898
    {'degree': 16, 'field': [255025, 0, -132620, 0, 235304, 0, 16284, 0, 14, 0, 2028, 0, 296, 0, 4, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [2, 8]}
  • id: 10171897
    {'degree': 16, 'field': [648025, 0, 1183000, 0, 1638260, 0, 506520, 0, 10766, 0, -13176, 0, 1316, 0, -56, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [2, 8]}
  • id: 10171896
    {'degree': 16, 'field': [2595321, 3885732, 2908872, -248148, 176638, 169272, 67320, 30340, -6689, -1960, 2600, -268, -2, -28, 32, -8, 1], 'lmfdb_label': '235200.go4', 'torsion': [4, 4]}
  • id: 10171899
    {'degree': 16, 'field': [78996544, 0, 39620992, 0, 4473280, 0, 785344, 0, 33040, 0, 11536, 0, 448, 0, 40, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [2, 6]}
  • id: 10171901
    {'degree': 16, 'field': [857435524, 0, -210361888, 0, 53338000, 0, 41833224, 0, 5482740, 0, 300816, 0, 9388, 0, 140, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [12]}
  • id: 10171900
    {'degree': 16, 'field': [910892761, 0, -490285552, 0, 266518828, 0, -49011664, 0, 3557710, 0, -157264, 0, 5308, 0, -112, 0, 1], 'lmfdb_label': '235200.go4', 'torsion': [12]}
• 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: 5828787
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '235200.go4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5828788
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '235200.go4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5828789
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '235200.go4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5828790
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '235200.go4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3160877
    {'adelic_gens': [[833, 8, 832, 9], [1, 0, 8, 1], [692, 119, 49, 594], [1, 8, 0, 1], [1, 4, 4, 17], [599, 0, 0, 839], [7, 6, 834, 835], [517, 42, 70, 13], [288, 833, 217, 204], [281, 728, 644, 393]], 'adelic_image': '840.48.0.?', 'conductor': 235200, 'lmfdb_label': '235200.go4', 'prime': 0}
  • id: 854825
    {'conductor': 235200, 'elladic_image': '4.6.0.1', 'lmfdb_label': '235200.go4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.go does not appear in ec_padic