Elliptic curve data - 3300.h4

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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': '3300c', 'Clabel': '3300c3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 46792968750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, -1, 0, 7967, -185438], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 3300, 'degree': 10368, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3107531627804649405162254432', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '3300.h', 'lmfdb_label': '3300.h4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.2', '15.8.0-3.a.1.1', '22.6.0.a.1', '30.24.0-6.a.1.1', '60.48.0-60.s.1.12', '66.24.0.a.1', '132.48.0.?', '330.48.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506944', 'prec': 103}, 'szpiro_ratio': 4.759837231565274, '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, 0, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, 4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -1, 0, 4, -1, 4, 6, 2, 0, 0, -4, 10, 0, 4, -12, -6, 12, -10, 4, 0, -8, -10, 6, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 3300, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '3300.h', 'trace_hash': 787485436219583022}
• 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': '0.072693280568249104046881961764', 'prec': 107}, 'conductor': 3300, 'gens': [], 'heights': [], 'lmfdb_label': '3300.h4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35227824261813680983047468796', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1136694557088208589828481277876212682', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[22, 0, 1]], 'xcoord_integral_points': [22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 1], '5': 'a', '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3300.h4'}
• ec_torsion_growth •

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

  
  
  • id: 172249
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 2]}
  • id: 172250
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '3300.h4', 'torsion': [6]}
  • id: 172252
    {'degree': 4, 'field': [1, 0, 13, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 6]}
  • id: 172251
    {'degree': 4, 'field': [25, -10, -4, -2, 1], 'lmfdb_label': '3300.h4', 'torsion': [4]}
  • id: 172253
    {'degree': 6, 'field': [191, -111, 36, -19, 0, -3, 1], 'lmfdb_label': '3300.h4', 'torsion': [6]}
  • id: 172256
    {'degree': 8, 'field': [10, 0, 4, -14, 23, -22, 12, -4, 1], 'lmfdb_label': '3300.h4', 'torsion': [12]}
  • id: 172255
    {'degree': 8, 'field': [2341, 570, -270, 330, 83, -30, 0, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 4]}
  • id: 172254
    {'degree': 8, 'field': [4965, 1670, -1506, 366, 723, 98, -28, -4, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 4]}
  • id: 172257
    {'degree': 12, 'field': [144, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [3, 6]}
  • id: 172258
    {'degree': 12, 'field': [7984, 4608, 75312, 6264, -2688, 8568, 1179, 0, 75, -48, 9, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 6]}
  • id: 172261
    {'degree': 16, 'field': [225, 0, 420, 0, 766, 0, -52, 0, -201, 0, 4, 0, 54, 0, 8, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 12]}
  • id: 172259
    {'degree': 16, 'field': [2205225, 0, 5880600, 0, 3255120, 0, 467280, 0, -41894, 0, -9704, 0, -384, 0, 16, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [8]}
  • id: 172260
    {'degree': 16, 'field': [4100625, 0, -1336500, 0, 725850, 0, -276540, 0, 51211, 0, -3300, 0, -62, 0, 0, 0, 1], 'lmfdb_label': '3300.h4', 'torsion': [2, 12]}
  • id: 172262
    {'degree': 18, 'field': [1470207240, -4037467680, 4690739160, -2819856240, 723251700, 131702760, -144956214, 30729510, 4211514, -3066975, 398655, 46305, -13170, 1620, -585, -75, 39, 0, 1], 'lmfdb_label': '3300.h4', '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: 59898
    {'conductor': 3300, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3300.h4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 59899
    {'conductor': 3300, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3300.h4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 59900
    {'conductor': 3300, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '3300.h4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 59901
    {'conductor': 3300, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3300.h4', 'prime': 11, '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: 1685463
    {'adelic_gens': [[279, 58, 626, 401], [1, 0, 12, 1], [263, 648, 258, 587], [1, 6, 6, 37], [649, 12, 648, 13], [130, 3, 573, 652], [1, 12, 0, 1], [221, 12, 226, 73], [11, 2, 610, 651]], 'adelic_image': '660.96.1.?', 'conductor': 3300, 'lmfdb_label': '3300.h4', 'prime': 0}
  • id: 16562
    {'conductor': 3300, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3300.h4', 'modell_image': '2B', 'prime': 2}
  • id: 16563
    {'conductor': 3300, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3300.h4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 3300.h does not appear in ec_padic