Elliptic curve data - 333200.ex1

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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': '333200ex', 'Clabel': '333200ex1', 'Cnumber': 1, 'abc_quality': 0.8943610929314055, 'absD': 122933228364800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1428, 'ainvs': [0, 1, 0, -26911208, 53727521588], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 333200, 'degree': 11612160, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9187843090170516281465165998', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 127, 'isogeny_degrees': [1, 3], 'jinv': [-4768951705, 272], 'lmfdb_iso': '333200.ex', 'lmfdb_label': '333200.ex1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1373, 19011], 'min_quad_twist_disc': 140, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '68.2.0.a.1', '84.8.0.?', '204.8.0.?', '714.8.0.?', '1428.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.502503904059914900813512698', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46891327071172168525901569668', 'prec': 107}, 'szpiro_ratio': 4.9493076570270045, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 0, -3, 0, -2, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 1, 0, 0, -3, -2, 1, -4, 0, 0, 5, 2, 0, -8, -6, 6, 0, -8, -8, 0, 4, 1, 6, 3, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 333200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '333200.ex', 'trace_hash': 663921177911386794}
• 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': '0.0029159237382707784003972688534', 'prec': 110}, 'conductor': 333200, 'gens': [[278258948, 13578357593254, 457]], 'heights': [{'__RealLiteral__': 0, 'data': '19.502503904059914900813512698', 'prec': 100}], 'lmfdb_label': '333200.ex1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17596301060837563398578727704', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8634386027199640464674787196362286966', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 333200.ex1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13966129
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '333200.ex1', 'torsion': [3]}
  • id: 13966130
    {'degree': 3, 'field': [127, -23, -1, 1], 'lmfdb_label': '333200.ex1', 'torsion': [2]}
  • id: 13966133
    {'degree': 6, 'field': [-700, 0, 1225, 0, 70, 0, 1], 'lmfdb_label': '333200.ex1', 'torsion': [6]}
  • id: 13966131
    {'degree': 6, 'field': [47936, -18592, 1176, 232, 6, -2, 1], 'lmfdb_label': '333200.ex1', 'torsion': [2, 2]}
  • id: 13966132
    {'degree': 6, 'field': [8682429, 0, -26957, 0, 7, 0, 1], 'lmfdb_label': '333200.ex1', 'torsion': [3]}
  • id: 13966134
    {'degree': 12, 'field': [-1080988, 2400578, -1699531, -135270, 713113, -301694, 35629, 422, 771, -166, 47, -6, 1], 'lmfdb_label': '333200.ex1', 'torsion': [4]}
  • id: 13966136
    {'degree': 12, 'field': [1262696, -481704, 276318, -406274, 85805, -49532, 34336, -5208, 2890, -316, 98, -6, 1], 'lmfdb_label': '333200.ex1', 'torsion': [2, 6]}
  • id: 13966135
    {'degree': 12, 'field': [1792717477776, 0, 12226580160, 0, 289713328, 0, 2844920, 0, 8628, 0, -40, 0, 1], 'lmfdb_label': '333200.ex1', 'torsion': [3, 3]}
  • id: 13966137
    {'degree': 18, 'field': [1553701696, -447296448, -126041760, 140645216, -123962400, 57218832, -20690216, 2490120, 202632, -479140, 564570, -210930, 18515, 2850, 2235, -694, -18, 0, 1], 'lmfdb_label': '333200.ex1', 'torsion': [9]}
  • id: 13966138
    {'degree': 18, 'field': [3006224487736, -5026902991896, 3094470616284, -667038066064, -84018464910, 68452674234, -10948519669, -2694969624, 1844853939, -250324260, -63804696, 20019516, -60429, -481776, 37020, 3076, -351, -6, 1], 'lmfdb_label': '333200.ex1', 'torsion': [6]}
• 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: 8247306
    {'conductor': 333200, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '333200.ex1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8247307
    {'conductor': 333200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '333200.ex1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8247308
    {'conductor': 333200, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '333200.ex1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8247309
    {'conductor': 333200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '333200.ex1', '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: 3748638
    {'adelic_gens': [[4, 3, 9, 7], [405, 406, 602, 1217], [713, 1218, 1323, 797], [834, 805, 1309, 1191], [1, 6, 0, 1], [1423, 6, 1422, 7], [3, 4, 8, 11], [1261, 210, 315, 631], [1019, 0, 0, 1427], [1, 0, 6, 1]], 'adelic_image': '1428.16.0.?', 'conductor': 333200, 'lmfdb_label': '333200.ex1', 'prime': 0}
  • id: 1159700
    {'conductor': 333200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '333200.ex1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 333200.ex does not appear in ec_padic