Formats: - HTML - YAML - JSON - 2026-10-12T06:43:57.345233
  • ec_curvedata • Show schema
    {'Ciso': '313600t', 'Clabel': '313600t2', 'Cnumber': 2, 'abc_quality': 0.9910925196152872, 'absD': 8070721400000000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -6523533, 4735595563], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 313600, 'degree': 21233664, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9122969232106416863166808842', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [509699454272, 133984375], 'lmfdb_iso': '313600.t', 'lmfdb_label': '313600.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1331, 13369], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '28.6.0.e.1', '56.12.0.o.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1225], [5, 18, 12544], [7, 32, 6400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26818891676600320969208469404', 'prec': 97}, 'szpiro_ratio': 4.63708671299001, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • ec_classdata • Show schema
    {'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, -6, 0, 0, 0, -2, 0, -2, 0], 'aplist': [0, -2, 0, 0, 0, -6, -2, -2, 4, 8, 8, -8, -6, -8, 0, -12, 14, 10, -12, -8, 2, -8, 2, -2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 313600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '313600.t', 'trace_hash': 2126101401740980953}
  • ec_mwbsd • Show schema
    {'area': {'__RealLiteral__': 0, 'data': '0.0029540036879285223448286719156', 'prec': 97}, 'conductor': 313600, 'gens': [], 'heights': [], 'lmfdb_label': '313600.t1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12268466817054481560786123058', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '0.49073867268217926243144492232215289320', 'prec': 127}, 'tamagawa_product': 16, 'torsion_generators': [[2053, 0, 1]], 'xcoord_integral_points': [2053]}
  • lmfdb_label 313600.t1 does not appear in ec_iwasawa
  • ec_torsion_growth • Show schema
    • id: 13210551
      {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [2, 2]}
    • id: 13210552
      {'degree': 4, 'field': [350, 0, -40, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [4]}
    • id: 13210555
      {'degree': 8, 'field': [-18007500, 0, -1207360, 0, -14700, 0, 0, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [6]}
    • id: 13210554
      {'degree': 8, 'field': [625, 0, -1500, 0, 600, 0, -60, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [2, 4]}
    • id: 13210553
      {'degree': 8, 'field': [10000, 0, 4000, 0, 250, 0, 40, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [2, 4]}
    • id: 13210556
      {'degree': 16, 'field': [573176, -29288896, -9911264, 31915680, 14190480, -9181536, -4932288, 1142176, 775604, -71136, -66600, 2160, 3284, -24, -88, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [8]}
    • id: 13210557
      {'degree': 16, 'field': [43652480, 24852480, -51713024, -32151552, 24060608, 3876480, -1713152, -738048, 227936, -27904, -6320, 1696, 1312, -64, -64, 0, 1], 'lmfdb_label': '313600.t1', 'torsion': [2, 6]}
  • ec_localdata • Show schema
    • id: 7761696
      {'conductor': 313600, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '313600.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
    • id: 7761697
      {'conductor': 313600, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '313600.t1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
    • id: 7761698
      {'conductor': 313600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '313600.t1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • ec_galrep • Show schema
    • id: 3631287
      {'adelic_gens': [[1, 2, 2, 5], [36, 25, 49, 8], [4, 1, 27, 0], [3, 4, 8, 11], [34, 1, 39, 0], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 313600, 'lmfdb_label': '313600.t1', 'prime': 0}
    • id: 1099309
      {'conductor': 313600, 'elladic_image': '8.6.0.1', 'lmfdb_label': '313600.t1', 'modell_image': '2B', 'prime': 2}
  • lmfdb_iso 313600.t does not appear in ec_padic