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ec_curvedata • Show schema
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{'Ciso': '2475h', 'Clabel': '2475h2', 'Cnumber': 2, 'abc_quality': 1.012998630378065, 'absD': 1834471546875, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 1650, 'ainvs': [0, 0, 1, -2325, 78156], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 2475, 'degree': 4200, 'elladic_images': ['5.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0460152594327019683089880236', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-122023936, 161051], 'lmfdb_iso': '2475.a', 'lmfdb_label': '2475.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -10, -20], 'min_quad_twist_disc': -15, 'modell_images': ['5Cs.4.1'], 'modm_images': ['5.60.0.a.1', '15.120.0-5.a.1.2', '22.2.0.a.1', '110.120.5.?', '275.300.12.?', '330.240.5.?', '550.600.37.?', '825.600.12.?', '1650.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30800984111840306468901426147', 'prec': 107}, 'szpiro_ratio': 4.614294357376298, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -2, 0, 2, 0, 0, 2, 0, 0, 0, -1, 0, -4, -4, 0, -4, -2, 0, 0, 0], 'aplist': [-2, 0, 0, 2, -1, -4, -2, 0, -1, 0, 7, -3, 8, 6, 8, -6, -5, 12, 7, 3, -4, -10, -6, -15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 2475, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '2475.a', 'trace_hash': 205419599544670892}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12343624156373062118053378079', 'prec': 103}, 'conductor': 2475, 'gens': [], 'heights': [], 'lmfdb_label': '2475.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.75332966167645823043094966070', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.75332966167645823043094966069864710368', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 1, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '2475.a2'}
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ec_torsion_growth • Show schema
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id: 127254
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [5]}
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id: 127255
{'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [2]}
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id: 127256
{'degree': 4, 'field': [1, 4, -4, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [5]}
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id: 127257
{'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [2, 2]}
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id: 127258
{'degree': 6, 'field': [34, 12, 46, -11, 13, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [10]}
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id: 127259
{'degree': 8, 'field': [-21, -22, -26, 12, 13, 11, -6, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [3]}
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id: 127260
{'degree': 8, 'field': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [5, 5]}
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id: 127261
{'degree': 12, 'field': [-428849, 388244, 58850, -213474, 67747, 3664, 1356, 672, -337, -64, 6, -2, 1], 'lmfdb_label': '2475.a2', 'torsion': [4]}
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id: 127262
{'degree': 12, 'field': [1, -4, -28, -121, -53, 152, 13, -38, 47, -3, 5, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [10]}
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id: 127263
{'degree': 12, 'field': [4096, -1024, -2560, 1600, 224, -276, 189, -69, 14, 25, -10, -1, 1], 'lmfdb_label': '2475.a2', 'torsion': [2, 10]}
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id: 127264
{'degree': 16, 'field': [501, 414, 1396, 259, 937, -419, 493, -41, 245, -115, -151, -16, 62, 5, -8, -2, 1], 'lmfdb_label': '2475.a2', 'torsion': [15]}
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ec_localdata • Show schema
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id: 42501
{'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2475.a2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 42502
{'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2475.a2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 42503
{'conductor': 2475, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2475.a2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1680062
{'adelic_gens': [[16, 35, 115, 561], [1, 0, 50, 1], [1, 50, 0, 1], [1099, 0, 0, 1649], [931, 600, 1335, 571], [1, 50, 10, 501], [1601, 50, 1600, 51], [449, 1050, 1446, 1373]], 'adelic_image': '1650.1200.37.?', 'conductor': 2475, 'lmfdb_label': '2475.a2', 'prime': 0}
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id: 12288
{'conductor': 2475, 'elladic_image': '5.60.0.1', 'lmfdb_label': '2475.a2', 'modell_image': '5Cs.4.1', 'prime': 5}
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lmfdb_iso 2475.a does not appear in ec_padic