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ec_curvedata • Show schema
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{'Ciso': '15895e', 'Clabel': '15895e1', 'Cnumber': 1, 'abc_quality': 0.7920712085843463, 'absD': 1327566295, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7480, 'ainvs': [1, -1, 0, 235, 1016], 'analytic_rank': 0, 'bad_primes': [5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 15895, 'degree': 4608, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43779401149340383004454777784', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [59319, 55], 'lmfdb_iso': '15895.g', 'lmfdb_label': '15895.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 1, 0], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.z.1', '88.12.0.?', '110.6.0.?', '136.12.0.?', '220.12.0.?', '340.12.0.?', '440.24.0.?', '680.24.0.?', '748.12.0.?', '1496.24.0.?', '3740.24.0.?', '7480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.97881266053470421008021953110', 'prec': 107}, 'szpiro_ratio': 2.8933905088806102, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, -1, -1, 0, 0, -3, -3, -1, 1, 0, 2, 0, 0, -1, 0, -3, -4, 1], 'aplist': [1, 0, -1, 0, 1, 2, 0, -4, -4, -6, 8, 2, -2, 4, -12, -2, 4, 10, -16, -8, -14, -8, -4, 10, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 15895, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '15895.g', 'trace_hash': 1041841608347110007}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.41661696728389187748272790925', 'prec': 103}, 'conductor': 15895, 'gens': [], 'heights': [], 'lmfdb_label': '15895.g4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.99795634609684734284221306716', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99795634609684734284221306715867267456', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[-4, 2, 1]], 'xcoord_integral_points': [-4]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [8, 0], '5': [0, 0], '11': [1, 0], '17': 'a'}, 'iwp0': 3, 'lmfdb_label': '15895.g4'}
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ec_torsion_growth • Show schema
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id: 815616
{'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '15895.g4', 'torsion': [4]}
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id: 815615
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '15895.g4', 'torsion': [2, 2]}
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id: 815617
{'degree': 2, 'field': [47, -1, 1], 'lmfdb_label': '15895.g4', 'torsion': [4]}
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id: 815618
{'degree': 4, 'field': [229, 107, 20, -1, 1], 'lmfdb_label': '15895.g4', 'torsion': [2, 4]}
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id: 815622
{'degree': 8, 'field': [-2019, 2070, -1893, 777, 57, -36, -12, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [6]}
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id: 815620
{'degree': 8, 'field': [16, 0, -428, 0, 129, 0, -22, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [8]}
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id: 815621
{'degree': 8, 'field': [1444, 0, 976, 0, 85, 0, 6, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [8]}
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id: 815619
{'degree': 8, 'field': [118336, 0, 19168, 0, 689, 0, -53, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [2, 4]}
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id: 815625
{'degree': 16, 'field': [38416, 0, -102056, 0, 242825, 0, -92524, 0, 26924, 0, -4714, 0, 540, 0, -36, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [2, 8]}
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id: 815627
{'degree': 16, 'field': [59049, 0, -72171, 0, 156735, 0, -16038, 0, -28425, 0, 3102, 0, -618, 0, 0, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [12]}
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id: 815628
{'degree': 16, 'field': [838303, -312095, 1056705, 306002, 2713952, 1930821, 759730, 322162, 77601, 1354, -98, 282, -148, 26, 9, -8, 1], 'lmfdb_label': '15895.g4', 'torsion': [12]}
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id: 815624
{'degree': 16, 'field': [891136, 0, 1147312, 0, 668289, 0, 131928, 0, 22864, 0, 3078, 0, 272, 0, 20, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [2, 8]}
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id: 815626
{'degree': 16, 'field': [5076009, 0, 5442219, 0, 2203920, 0, 30627, 0, -55185, 0, 6612, 0, -258, 0, 0, 0, 1], 'lmfdb_label': '15895.g4', 'torsion': [2, 6]}
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id: 815623
{'degree': 16, 'field': [8503056, 5085504, 1520768, -33118896, 48190392, -43432280, 29903272, -15589788, 5767945, -1443778, 274442, -45000, 6047, -476, 18, -6, 1], 'lmfdb_label': '15895.g4', 'torsion': [4, 4]}
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ec_localdata • Show schema
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id: 352196
{'conductor': 15895, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15895.g4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 352197
{'conductor': 15895, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15895.g4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 352198
{'conductor': 15895, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '15895.g4', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1769831
{'adelic_gens': [[439, 0, 0, 7479], [1, 0, 8, 1], [7, 6, 7474, 7475], [1, 8, 0, 1], [5339, 5338, 1938, 4795], [1, 4, 4, 17], [2568, 4403, 6885, 3962], [7209, 7208, 5678, 1055], [7473, 8, 7472, 9], [2908, 3961, 5831, 4846]], 'adelic_image': '7480.48.0.?', 'conductor': 15895, 'lmfdb_label': '15895.g4', 'prime': 0}
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id: 74797
{'conductor': 15895, 'elladic_image': '4.6.0.1', 'lmfdb_label': '15895.g4', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 15895.g does not appear in ec_padic