-
ec_curvedata • Show schema
Hide schema
{'Ciso': '475a', 'Clabel': '475a1', 'Cnumber': 1, 'abc_quality': 1.3175706029138485, 'absD': 296875, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 5130, 'ainvs': [0, -1, 1, 17, -7], 'analytic_rank': 0, 'bad_primes': [5, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 475, 'degree': 36, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.26045417545974170057477068673', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3, 9], 'jinv': [32768, 19], 'lmfdb_iso': '475.b', 'lmfdb_label': '475.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 1, 0], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.2', '27.36.0.a.1', '38.2.0.a.1', '45.24.0-9.a.1.1', '114.8.0.?', '135.72.0.?', '171.36.0.?', '342.72.3.?', '513.324.16.?', '570.16.0.?', '855.72.0.?', '1026.648.43.?', '1710.144.3.?', '2565.648.16.?', '5130.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'szpiro_ratio': 3.253741828971011, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 2, -2, 0, 0, 1, 0, 1, 0, 3, -4, 4, 0, 0, 4, 3, 0, 1, 0], 'aplist': [0, 2, 0, 1, 3, 4, 3, 1, 0, 6, -4, -2, -6, 1, 3, -12, -6, -1, 4, 6, 7, 8, -12, 12, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 475, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '475.b', 'trace_hash': 2118555155025302141}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '1.6835562151929210412585089983', 'prec': 100}, 'conductor': 475, 'gens': [], 'heights': [], 'lmfdb_label': '475.b3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.8243091182881161272602258769', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8243091182881161272602258768887862438', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
-
ec_iwasawa • Show schema
Hide schema
{'iwdata': {'2': [0, 3, 0], '3': [0, 0], '5': 'a', '7': [4, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [1, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '475.b3'}
-
ec_torsion_growth • Show schema
Hide schema
-
id: 21365
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '475.b3', 'torsion': [3]}
-
id: 21366
{'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '475.b3', 'torsion': [2]}
-
id: 21369
{'degree': 6, 'field': [-11, 10, 47, 1, -16, -1, 1], 'lmfdb_label': '475.b3', 'torsion': [9]}
-
id: 21370
{'degree': 6, 'field': [-4, 4, 4, -8, -6, 0, 1], 'lmfdb_label': '475.b3', 'torsion': [6]}
-
id: 21367
{'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '475.b3', 'torsion': [2, 2]}
-
id: 21368
{'degree': 6, 'field': [115, 5, -41, 14, 5, -3, 1], 'lmfdb_label': '475.b3', 'torsion': [3]}
-
id: 21371
{'degree': 12, 'field': [-16616, 31936, -27024, 11672, -3212, 1600, -1576, 968, -326, 40, 12, -6, 1], 'lmfdb_label': '475.b3', 'torsion': [4]}
-
id: 21373
{'degree': 12, 'field': [1, 0, 3, -4, -13, 10, 11, 2, 14, 2, -7, -1, 1], 'lmfdb_label': '475.b3', 'torsion': [9]}
-
id: 21374
{'degree': 12, 'field': [1, 3, 3, 0, 17, -3, -6, 3, 17, 0, 3, -3, 1], 'lmfdb_label': '475.b3', 'torsion': [2, 6]}
-
id: 21372
{'degree': 12, 'field': [64, 312, 611, 507, -144, -249, 235, -144, 33, -15, 8, -3, 1], 'lmfdb_label': '475.b3', 'torsion': [3, 3]}
-
id: 21376
{'degree': 18, 'field': [-1, -8, -5, 92, 72, -577, 80, 1342, -708, -1349, 1141, 522, -707, -23, 143, 3, -16, -1, 1], 'lmfdb_label': '475.b3', 'torsion': [18]}
-
id: 21375
{'degree': 18, 'field': [110239, -393207, 867932, -761291, 570285, -239170, 85157, 18267, -11203, 7642, 695, 639, -1, 242, -57, 1, 8, -3, 1], 'lmfdb_label': '475.b3', 'torsion': [6]}
-
ec_localdata • Show schema
Hide schema
-
id: 5212
{'conductor': 475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '475.b3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
-
id: 5213
{'conductor': 475, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '475.b3', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 1667921
{'adelic_gens': [[31, 36, 4438, 3499], [1, 54, 0, 1], [2201, 4785, 4375, 3526], [28, 27, 729, 703], [1561, 4140, 4955, 871], [5077, 54, 5076, 55], [4103, 0, 0, 5129], [1, 0, 54, 1]], 'adelic_image': '5130.1296.43.?', 'conductor': 475, 'lmfdb_label': '475.b3', 'prime': 0}
-
id: 2133
{'conductor': 475, 'elladic_image': '27.36.0.1', 'lmfdb_label': '475.b3', 'modell_image': '3B', 'prime': 3}
-
lmfdb_iso 475.b does not appear in ec_padic