Elliptic curve data - 235200.d1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '235200d', 'Clabel': '235200d2', 'Cnumber': 2, 'abc_quality': 1.116419520515943, 'absD': 144567091200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2520, 'ainvs': [0, -1, 0, -237813, 44717037], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 235200, 'degree': 1306368, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5747455257391081455799928842', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-30866268160, 3], 'lmfdb_iso': '235200.d', 'lmfdb_label': '235200.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1213, -15863], 'min_quad_twist_disc': -56, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '18.24.0.c.1', '840.16.0.?', '2520.48.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 3675], [3, 4, 78400], [5, 10, 9408], [7, 26, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47512091151416809705958085143', 'prec': 107}, 'szpiro_ratio': 3.9416698240754013, '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, 1, 0, -6, 0, -5, 0, 0, 0, -6, 0, 5, 0], 'aplist': [0, -1, 0, 0, -6, -5, -6, 5, 6, 6, 1, 2, 0, -1, 6, -12, -6, -13, 11, 0, 2, 8, 6, 0, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 235200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '235200.d', 'trace_hash': 782612289878551794}
• 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': '0.042873941944569284408538171546', 'prec': 107}, 'conductor': 235200, 'gens': [], 'heights': [], 'lmfdb_label': '235200.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.79325515816304713974931822903', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.79325515816304713974931822903384973798', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 235200.d1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10169271
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '235200.d1', 'torsion': [3]}
  • id: 10169272
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '235200.d1', 'torsion': [2]}
  • id: 10169275
    {'degree': 6, 'field': [-10290, 0, 1960, 0, -70, 0, 1], 'lmfdb_label': '235200.d1', 'torsion': [6]}
  • id: 10169273
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '235200.d1', 'torsion': [2, 2]}
  • id: 10169274
    {'degree': 6, 'field': [30870, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '235200.d1', 'torsion': [3]}
  • id: 10169276
    {'degree': 12, 'field': [-79413075, 0, 8403500, 0, -540225, 0, 34300, 0, -1225, 0, 0, 0, 1], 'lmfdb_label': '235200.d1', 'torsion': [4]}
  • id: 10169278
    {'degree': 12, 'field': [11771761, -20586, -51429, 137150, -51360, -20706, 7001, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '235200.d1', 'torsion': [2, 6]}
  • id: 10169277
    {'degree': 12, 'field': [953018641, -185226, -463029, 1234750, -462960, -185346, 61881, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '235200.d1', 'torsion': [3, 3]}
  • id: 10169280
    {'degree': 18, 'field': [40672093519, 0, 0, -2103791958, 0, 0, 48353925, 0, 0, 1542960, 0, 0, 10425, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '235200.d1', 'torsion': [6]}
  • id: 10169279
    {'degree': 18, 'field': [293582381089, -1003174202418, 946008106035, 16925104658, -276401860605, 4267290882, 28498087836, -238863690, -1592259756, 5058400, 56540115, -90600, -1355025, 2130, 21795, -22, -216, 0, 1], 'lmfdb_label': '235200.d1', '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: 5827611
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '235200.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5827612
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '235200.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5827613
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '235200.d1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5827614
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '235200.d1', 'prime': 7, 'reduction_type': 0, '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: 3160721
    {'adelic_gens': [[629, 0, 0, 2519], [1, 18, 0, 1], [5, 14, 2506, 2481], [1450, 2163, 1113, 757], [1439, 0, 0, 2519], [1721, 1799, 2443, 1434], [1259, 0, 0, 2519], [1007, 2142, 1008, 2141], [2503, 18, 2502, 19], [1, 0, 18, 1], [10, 3, 123, 37], [365, 14, 1876, 771], [1763, 1799, 714, 2449]], 'adelic_image': '2520.48.0.?', 'conductor': 235200, 'lmfdb_label': '235200.d1', 'prime': 0}
  • id: 854693
    {'conductor': 235200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '235200.d1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 235200.d does not appear in ec_padic