Elliptic curve data - 7350.cs7

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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': '7350ck', 'Clabel': '7350ck1', 'Cnumber': 1, 'abc_quality': 0.9899732793274963, 'absD': 11117830500000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 0, 0, -609463, -183114583], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 7350, 'degree': 110592, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0374857121611553654149575034', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [13619385906841, 6048000], 'lmfdb_iso': '7350.cs', 'lmfdb_label': '7350.cs7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -498, 4228], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.24.0-6.a.1.3', '12.48.0-12.g.1.6', '24.96.0-24.bt.1.13', '28.12.0-4.c.1.2', '40.12.0.ba.1', '60.96.0-60.c.2.2', '84.96.0.?', '105.8.0.?', '120.192.1.?', '168.192.1.?', '210.48.0.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, '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': '0.25981168141644852556190146507', 'prec': 103}, 'szpiro_ratio': 5.793300866573751, '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, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, -6, 1, -8, 0], 'aplist': [1, 1, 0, 0, 0, 2, -6, -8, 0, 6, 4, 10, 6, 4, 0, 6, 12, 10, 4, 12, -10, 8, 12, 6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 7350, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '7350.cs', 'trace_hash': 2146663347326588322}
• 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': '0.016992700247956633596011925217', 'prec': 107}, 'conductor': 7350, 'gens': [], 'heights': [], 'lmfdb_label': '7350.cs7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17087333250042868492072921463', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1009599800102884380975011512338980499', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-458, 229, 1]], 'xcoord_integral_points': [-458]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [5, 0], '5': 'a', '7': 'a'}, 'iwp0': 5, 'lmfdb_label': '7350.cs7'}
• ec_torsion_growth •

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

  
  
  • id: 386917
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 2]}
  • id: 386918
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [4]}
  • id: 386919
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [4]}
  • id: 386920
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [6]}
  • id: 386921
    {'degree': 4, 'field': [4, 0, 11, 0, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 4]}
  • id: 386923
    {'degree': 4, 'field': [4, 2, 5, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [12]}
  • id: 386924
    {'degree': 4, 'field': [15, -15, 4, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [12]}
  • id: 386922
    {'degree': 4, 'field': [81, -9, -8, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 6]}
  • id: 386925
    {'degree': 6, 'field': [-20, 20, -34, 41, -13, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 6]}
  • id: 386928
    {'degree': 8, 'field': [9, 27, 93, 78, 10, -10, -3, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [24]}
  • id: 386929
    {'degree': 8, 'field': [16, 8, -16, 18, 23, -9, -4, -1, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 12]}
  • id: 386927
    {'degree': 8, 'field': [16, 16, 4, -48, 24, 24, 1, -2, 1], 'lmfdb_label': '7350.cs7', 'torsion': [8]}
  • id: 386926
    {'degree': 8, 'field': [756, -6048, 7560, -1428, 109, 178, -30, -2, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 4]}
  • id: 386931
    {'degree': 12, 'field': [400, -1200, 1520, -735, -99, 108, -92, 150, 6, 0, 8, -3, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 12]}
  • id: 386930
    {'degree': 12, 'field': [9801, -10098, 8127, -6306, 2866, -350, 463, -70, 26, -34, 7, -2, 1], 'lmfdb_label': '7350.cs7', 'torsion': [6, 6]}
  • id: 386934
    {'degree': 16, 'field': [256, 0, 2836, 0, 7820, 0, -3291, 0, 749, 0, 54, 0, -10, 0, 1, 0, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 8]}
  • id: 386936
    {'degree': 16, 'field': [281, -262, 1458, -3858, 6888, -10152, 12244, -11714, 9033, -5672, 2956, -1290, 488, -154, 42, -8, 1], 'lmfdb_label': '7350.cs7', 'torsion': [24]}
  • id: 386935
    {'degree': 16, 'field': [900, -2700, 3150, -1350, -12495, 7560, 41880, 23400, -4964, -4428, 2546, -504, 84, -12, 14, -6, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 12]}
  • id: 386933
    {'degree': 16, 'field': [1516, 2364, -2365, -3250, 11978, -19284, 19871, -15870, 10183, -5460, 2599, -1082, 423, -140, 40, -8, 1], 'lmfdb_label': '7350.cs7', 'torsion': [2, 24]}
  • id: 386932
    {'degree': 16, 'field': [34596, -185256, 496008, -985608, 1006053, -80538, 46866, -39954, -6677, -6772, 1124, 284, 523, -74, 2, -2, 1], 'lmfdb_label': '7350.cs7', 'torsion': [4, 4]}
  • id: 386937
    {'degree': 18, 'field': [3728295540, 9236473740, 11339794260, 8635343850, 4466228220, 1554117840, 348776091, 35394975, -1550259, -602550, 348705, 81450, 10265, -3015, -240, -120, 6, 0, 1], 'lmfdb_label': '7350.cs7', '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: 151611
    {'conductor': 7350, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '7350.cs7', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 151612
    {'conductor': 7350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '7350.cs7', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 151613
    {'conductor': 7350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '7350.cs7', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 151614
    {'conductor': 7350, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '7350.cs7', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1712644
    {'adelic_gens': [[15, 106, 374, 11], [16, 441, 695, 746], [1, 12, 12, 145], [344, 819, 645, 374], [217, 24, 702, 7], [817, 24, 816, 25], [1, 24, 0, 1], [681, 808, 836, 509], [488, 837, 123, 86], [1, 0, 24, 1]], 'adelic_image': '840.384.5.?', 'conductor': 7350, 'lmfdb_label': '7350.cs7', 'prime': 0}
  • id: 36281
    {'conductor': 7350, 'elladic_image': '4.6.0.1', 'lmfdb_label': '7350.cs7', 'modell_image': '2B', 'prime': 2}
  • id: 36282
    {'conductor': 7350, 'elladic_image': '3.4.0.1', 'lmfdb_label': '7350.cs7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 7350.cs does not appear in ec_padic