Elliptic curve data - 25350.g3

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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': '25350k', 'Clabel': '25350k2', 'Cnumber': 2, 'abc_quality': 1.065463153454839, 'absD': 39136567717267312500, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 780, 'ainvs': [1, 1, 0, -893675, -123438375], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 25350, 'degree': 798720, 'elladic_images': ['2.3.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4524805321035377106552950588', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [476379541, 236196], 'lmfdb_iso': '25350.g', 'lmfdb_label': '25350.g3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -212, -466], 'min_quad_twist_disc': 65, 'modell_images': ['2B', '5B'], 'modm_images': ['2.3.0.a.1', '5.6.0.a.1', '10.36.0.b.2', '12.6.0.f.1', '26.6.0.b.1', '60.72.1.dy.2', '65.24.0-65.a.2.1', '130.144.1.?', '156.12.0.?', '780.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 325], [3, 4, 8450], [5, 14, 338], [13, 62, 150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27595044220966502868520018898', 'prec': 107}, 'szpiro_ratio': 5.1992229496379565, '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, -2, -1, 1, 0, 0, -1, 0, 2, 0, 1, -2, -1, -6, 0], 'aplist': [-1, -1, 0, -2, 0, 0, -2, -6, 4, -10, 10, 8, 10, 4, -12, 6, -4, 2, 2, 0, -4, 0, 4, 6, 12], 'class_deg': 10, 'class_size': 4, 'conductor': 25350, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '25350.g', 'trace_hash': 1434984266278321540}
• 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': '0.0074097315810726643735525274315', 'prec': 110}, 'conductor': 25350, 'gens': [], 'heights': [], 'lmfdb_label': '25350.g3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16340255883602840230657906726', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.65361023534411360922631626902539518495', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[-565, 565, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [0, 0], '5': 'a', '13': 'a'}, 'iwp0': 7, 'lmfdb_label': '25350.g3'}
• ec_torsion_growth •

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

  
  
  • id: 1276073
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 2]}
  • id: 1276075
    {'degree': 4, 'field': [29, 17, 15, -1, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 10]}
  • id: 1276074
    {'degree': 4, 'field': [1300, 0, 65, 0, 1], 'lmfdb_label': '25350.g3', 'torsion': [4]}
  • id: 1276078
    {'degree': 8, 'field': [-30484, 11924, -1756, 1172, -298, -94, 1, -2, 1], 'lmfdb_label': '25350.g3', 'torsion': [6]}
  • id: 1276076
    {'degree': 8, 'field': [2304, 0, -1696, 0, -340, 0, -8, 0, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 4]}
  • id: 1276077
    {'degree': 8, 'field': [1690000, 0, -84500, 0, 2925, 0, -65, 0, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 4]}
  • id: 1276082
    {'degree': 16, 'field': [106739, 380816, 320832, 15084, 672672, -375652, 366150, -151306, 71773, -25056, 10018, -2698, 793, -162, 43, -6, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 20]}
  • id: 1276081
    {'degree': 16, 'field': [30481441, 0, 29758587, 0, 12347071, 0, 2854581, 0, 405318, 0, 36327, 0, 2029, 0, 66, 0, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 20]}
  • id: 1276080
    {'degree': 16, 'field': [185340996, 0, -95921925, 0, 18222610, 0, -1555887, 0, -46977, 0, 11165, 0, -129, 0, -18, 0, 1], 'lmfdb_label': '25350.g3', 'torsion': [2, 6]}
  • id: 1276079
    {'degree': 16, 'field': [3662186256, 0, 533751120, 0, -7216263, 0, -5523714, 0, 11448, 0, 18576, 0, 336, 0, 6, 0, 1], 'lmfdb_label': '25350.g3', 'torsion': [8]}
  • id: 1276083
    {'degree': 20, 'field': [1036, 736, 3180, 11392, -10440, 37406, -40484, 37180, -35540, 13358, -11727, 6169, 435, 210, -41, -277, 95, -26, 13, -5, 1], 'lmfdb_label': '25350.g3', 'torsion': [10]}
• 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: 582583
    {'conductor': 25350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '25350.g3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 582584
    {'conductor': 25350, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '25350.g3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 582585
    {'conductor': 25350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '25350.g3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 582586
    {'conductor': 25350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '25350.g3', 'prime': 13, '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: 1833367
    {'adelic_gens': [[391, 6, 0, 1], [761, 20, 760, 21], [309, 760, 20, 133], [11, 16, 540, 431], [521, 6, 0, 1], [1, 10, 10, 101], [1, 0, 20, 1], [42, 775, 125, 698], [1, 20, 0, 1]], 'adelic_image': '780.288.5.?', 'conductor': 25350, 'lmfdb_label': '25350.g3', 'prime': 0}
  • id: 115673
    {'conductor': 25350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '25350.g3', 'modell_image': '2B', 'prime': 2}
  • id: 115674
    {'conductor': 25350, 'elladic_image': '5.6.0.1', 'lmfdb_label': '25350.g3', 'modell_image': '5B', 'prime': 5}
• lmfdb_iso 25350.g does not appear in ec_padic