Elliptic curve data - 2850.m3

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2850i', 'Clabel': '2850i1', 'Cnumber': 1, 'abc_quality': 0.8908034309086049, 'absD': 356250000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, 0, 1, -776, 8198], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 1536, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47448932490865881274358500450', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [3301293169, 22800], 'lmfdb_iso': '2850.m', 'lmfdb_label': '2850.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -31, 53], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '20.12.0-4.c.1.2', '40.24.0-8.m.1.1', '114.6.0.?', '228.12.0.?', '456.24.0.?', '1140.24.0.?', '2280.48.0.?'], '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, 'serre_invariants': [[2, 4, 1425], [3, 4, 950], [5, 18, 114], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33022963130839137455679466211', 'prec': 107}, 'szpiro_ratio': 3.969065088276891, '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, 4, 1, -2, 0, 0, 1, -2, -1, -1, 0], 'aplist': [-1, 1, 0, 0, 4, -2, -2, -1, -4, 6, 4, 6, 10, 4, 12, -6, -12, -2, -4, 8, 6, -4, 12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2850, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2850.m', 'trace_hash': 272775425573565076}
• 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': '0.38713622325379624055343741352', 'prec': 103}, 'conductor': 2850, 'gens': [], 'heights': [], 'lmfdb_label': '2850.m3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.7109678799833825444484169014', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7109678799833825444484169013930206064', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[17, -9, 1]], 'xcoord_integral_points': [17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': 'a', '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '2850.m3'}
• ec_torsion_growth •

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

  
  
  • id: 147809
    {'degree': 2, 'field': [-71, -1, 1], 'lmfdb_label': '2850.m3', 'torsion': [4]}
  • id: 147808
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '2850.m3', 'torsion': [2, 2]}
  • id: 147810
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '2850.m3', 'torsion': [4]}
  • id: 147811
    {'degree': 4, 'field': [169, 0, -31, 0, 1], 'lmfdb_label': '2850.m3', 'torsion': [2, 4]}
  • id: 147814
    {'degree': 8, 'field': [4, 0, 20, 0, 29, 0, -10, 0, 1], 'lmfdb_label': '2850.m3', 'torsion': [8]}
  • id: 147815
    {'degree': 8, 'field': [6, -51, 42, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '2850.m3', 'torsion': [6]}
  • id: 147812
    {'degree': 8, 'field': [1024, 0, 3920, 0, 36, 0, 20, 0, 1], 'lmfdb_label': '2850.m3', 'torsion': [2, 4]}
  • id: 147813
    {'degree': 8, 'field': [7104, 7872, -5784, -4080, 1801, 284, -90, -4, 1], 'lmfdb_label': '2850.m3', 'torsion': [8]}
  • id: 147817
    {'degree': 16, 'field': [-477404, -1412696, 655038, 4129352, 1154811, -3471144, -1893842, 774764, 615807, -37544, -75014, -2736, 4065, 232, -102, -4, 1], 'lmfdb_label': '2850.m3', 'torsion': [2, 8]}
  • id: 147820
    {'degree': 16, 'field': [-149276, 721954, -465537, -3379208, 9242278, -7286976, 14401, 696976, 536199, 93436, 48865, 324, 571, -266, 6, -8, 1], 'lmfdb_label': '2850.m3', 'torsion': [12]}
  • id: 147821
    {'degree': 16, 'field': [2500, 0, -4000, 0, 1600, 0, -5625, 0, 2550, 0, -45, 0, 25, 0, -10, 0, 1], 'lmfdb_label': '2850.m3', 'torsion': [12]}
  • id: 147818
    {'degree': 16, 'field': [27244, -18984, 11846, 21544, -22335, 4740, 6396, -4340, 1074, -60, 622, -624, 44, 100, -20, -4, 1], 'lmfdb_label': '2850.m3', 'torsion': [2, 8]}
  • id: 147816
    {'degree': 16, 'field': [40401, 0, 92484, 0, 78738, 0, 12660, 0, -1805, 0, 28, 0, 90, 0, -8, 0, 1], 'lmfdb_label': '2850.m3', 'torsion': [4, 4]}
  • id: 147819
    {'degree': 16, 'field': [394456, 179194, -248499, -291704, -185372, 133614, 150979, 19888, -31887, -18716, -779, 2268, 943, -32, -36, -2, 1], 'lmfdb_label': '2850.m3', 'torsion': [2, 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: 50578
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2850.m3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 50579
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2850.m3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 50580
    {'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '2850.m3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 50581
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2850.m3', 'prime': 19, '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: 1682570
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1676, 1825, 175, 6], [1756, 1825, 1775, 6], [1091, 630, 290, 971], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [1201, 1200, 70, 751], [1823, 0, 0, 2279]], 'adelic_image': '2280.48.0.?', 'conductor': 2850, 'lmfdb_label': '2850.m3', 'prime': 0}
  • id: 14237
    {'conductor': 2850, 'elladic_image': '8.12.0.11', 'lmfdb_label': '2850.m3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2850.m does not appear in ec_padic