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ec_curvedata • Show schema
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{'Ciso': '9075f', 'Clabel': '9075f1', 'Cnumber': 1, 'abc_quality': 0.9416222780553999, 'absD': 144692244675, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 330, 'ainvs': [0, -1, 1, -2823, -59632], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 9075, 'degree': 8640, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89773682710668125298524973269', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [-56197120, 3267], 'lmfdb_iso': '9075.i', 'lmfdb_label': '9075.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -23, 53], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '165.8.0.?', '330.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, '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': '-0.56945046136485408147918194516', 'prec': 107}, 'szpiro_ratio': 3.900500589838648, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, -2, 0, 0, -1, 0, 1, 0, 0, 2, -1, 0, 0, 4, -6, 0, 7, 0], 'aplist': [0, -1, 0, -1, 0, -1, -6, 7, -6, 6, -7, -2, 6, -1, 0, 6, 0, -5, -5, -12, 14, 4, -6, 6, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 9075, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '9075.i', 'trace_hash': 417980053839874846}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.16604878401133883071747753587', 'prec': 103}, 'conductor': 9075, 'gens': [], 'heights': [], 'lmfdb_label': '9075.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32637509945682168598173280191', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.65275019891364337196346560382848074376', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 3, 0], '3': [0, 0], '5': 'a', '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '9075.i1'}
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ec_torsion_growth • Show schema
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id: 472155
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '9075.i1', 'torsion': [3]}
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id: 472156
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '9075.i1', 'torsion': [2]}
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id: 472158
{'degree': 6, 'field': [-116, -38, 25, 25, -10, -3, 1], 'lmfdb_label': '9075.i1', 'torsion': [3]}
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id: 472157
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '9075.i1', 'torsion': [2, 2]}
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id: 472159
{'degree': 6, 'field': [1156, -436, -30, 55, -15, -1, 1], 'lmfdb_label': '9075.i1', 'torsion': [6]}
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id: 472161
{'degree': 12, 'field': [3136, -336, -804, 2150, -735, -456, 251, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '9075.i1', 'torsion': [3, 3]}
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id: 472162
{'degree': 12, 'field': [47961, 70299, 78951, 46260, 17935, -8951, -1234, -791, 235, -40, 11, -1, 1], 'lmfdb_label': '9075.i1', 'torsion': [2, 6]}
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id: 472160
{'degree': 12, 'field': [122904, -93312, -110448, -42680, -23380, -9792, 936, -1816, -750, 40, -8, -6, 1], 'lmfdb_label': '9075.i1', 'torsion': [4]}
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id: 472164
{'degree': 18, 'field': [-83316, 117852, -220268, 300188, -310150, 276362, -221989, 149596, -66231, 18700, -1848, -3184, 2921, -1616, 600, -172, 39, -6, 1], 'lmfdb_label': '9075.i1', 'torsion': [6]}
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id: 472163
{'degree': 18, 'field': [26708229, 168439932, 386249823, 315862302, 255923325, 94556952, 46101376, 11778774, 3702501, 825770, 113388, 33864, 12581, -3606, 2220, -368, 81, -6, 1], 'lmfdb_label': '9075.i1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 189954
{'conductor': 9075, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '9075.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 189955
{'conductor': 9075, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9075.i1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 189956
{'conductor': 9075, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '9075.i1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1723929
{'adelic_gens': [[4, 3, 9, 7], [276, 121, 253, 144], [119, 0, 0, 329], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1], [111, 242, 220, 67], [325, 6, 324, 7]], 'adelic_image': '330.16.0.?', 'conductor': 9075, 'lmfdb_label': '9075.i1', 'prime': 0}
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id: 44149
{'conductor': 9075, 'elladic_image': '3.4.0.1', 'lmfdb_label': '9075.i1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 9075.i does not appear in ec_padic