Elliptic curve data - 714.i2

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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': '714i', 'Clabel': '714i2', 'Cnumber': 2, 'abc_quality': 1.0571702726916339, 'absD': 42823570577256, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 8568, 'ainvs': [1, 0, 0, -972, -315144], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 714, 'degree': 3240, 'elladic_images': ['9.72.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2948043928086159572028442834', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-101566487155393, 42823570577256], 'lmfdb_iso': '714.i', 'lmfdb_label': '714.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -972, -315144], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '9.72.0-9.a.1.1', '2856.48.1.?', '8568.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2948043928086159572028442834', 'prec': 100}, 'szpiro_ratio': 5.911564937088946, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 1, 1, -3, 1, 1, 1, 1, -3, 3, 1, 5, 1, -3, 1, -1, 1, 2, -3], 'aplist': [1, 1, -3, 1, 3, 5, -1, 2, 6, -6, -4, 11, -12, -1, 12, -9, -12, -10, 5, 0, -7, -1, -15, 9, -19], 'class_deg': 9, 'class_size': 3, 'conductor': 714, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '714.i', 'trace_hash': 1015465991429938909}
• 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': '0.075049394745612440194610923508', 'prec': 107}, 'conductor': 714, 'gens': [], 'heights': [], 'lmfdb_label': '714.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28811022057345761577221123297', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5929919851611185419499010967160375234', 'prec': 130}, 'tamagawa_product': 81, 'torsion_generators': [[114, 972, 1]], 'xcoord_integral_points': [114]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [3, 1], '7': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '714.i2'}
• ec_torsion_growth •

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

  
  
  • id: 33089
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '714.i2', 'torsion': [3, 3]}
  • id: 33090
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '714.i2', 'torsion': [6]}
  • id: 33091
    {'degree': 3, 'field': [-6, 0, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [9]}
  • id: 33093
    {'degree': 6, 'field': [48, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [3, 9]}
  • id: 33094
    {'degree': 6, 'field': [108, 180, 102, -6, -17, -1, 1], 'lmfdb_label': '714.i2', 'torsion': [3, 6]}
  • id: 33092
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [2, 6]}
  • id: 33095
    {'degree': 9, 'field': [-1467, 12771, -7560, 5766, -1566, 360, -100, 30, -3, 1], 'lmfdb_label': '714.i2', 'torsion': [18]}
  • id: 33096
    {'degree': 12, 'field': [-15996114, 3602766, 13463605, 4433180, 296261, -96884, -13894, -3848, 320, 142, -19, -4, 1], 'lmfdb_label': '714.i2', 'torsion': [12]}
  • id: 33097
    {'degree': 12, 'field': [572868, -504, -171894, -2688, 10195, 3276, 3104, 0, -177, -84, 2, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [6, 6]}
  • id: 33099
    {'degree': 18, 'field': [1728, 0, 0, -1368, 0, 0, 793, 0, 0, -342, 0, 0, 127, 0, 0, -18, 0, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [3, 9]}
  • id: 33098
    {'degree': 18, 'field': [19476, -109404, 360072, -814854, 1123398, -836352, 283375, -19323, 17625, -78, -8355, 5337, -1676, 225, 69, -90, 39, -9, 1], 'lmfdb_label': '714.i2', 'torsion': [3, 9]}
  • id: 33100
    {'degree': 18, 'field': [1259712, 0, 0, 0, 0, 0, 2433924, 0, 0, 0, 0, 0, 2580, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [3, 18]}
  • id: 33101
    {'degree': 18, 'field': [1403585316, -16169396040, 47990480724, 12964268820, 6219944622, 1280901528, 455382559, -21829968, 29146206, -2866008, 1108455, -516204, 80530, -1656, 2517, -216, 30, 0, 1], 'lmfdb_label': '714.i2', 'torsion': [2, 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: 8933
    {'conductor': 714, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '714.i2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8934
    {'conductor': 714, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '714.i2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 8935
    {'conductor': 714, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '714.i2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 8936
    {'conductor': 714, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '714.i2', '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: 1669197
    {'adelic_gens': [[1, 18, 0, 1], [2153, 4302, 6759, 307], [4285, 18, 4293, 163], [1, 9, 9, 82], [6121, 18, 3681, 163], [1, 6, 6, 37], [5545, 18, 7065, 163], [8551, 18, 8550, 19], [1, 0, 18, 1], [1, 12, 0, 1], [2143, 18, 2151, 163]], 'adelic_image': '8568.144.3.?', 'conductor': 714, 'lmfdb_label': '714.i2', 'prime': 0}
  • id: 3225
    {'conductor': 714, 'elladic_image': '9.72.0.1', 'lmfdb_label': '714.i2', 'modell_image': '3Cs.1.1', 'prime': 3}
• lmfdb_iso 714.i does not appear in ec_padic