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ec_curvedata • Show schema
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{'Ciso': '480240l', 'Clabel': '480240l2', 'Cnumber': 2, 'abc_quality': 0.9253928902890586, 'absD': 153753638400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 16008, 'ainvs': [0, 0, 0, -418923, 102644378], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 23, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 480240, 'degree': 4718592, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0914588721378772068579890785', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [73519511861296467, 1390278125000], 'lmfdb_iso': '480240.l', 'lmfdb_label': '480240.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -235644, 43362008], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '5336.6.0.?', '8004.6.0.?', '16008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1236586194109044745919456478', 'prec': 100}, 'szpiro_ratio': 3.8564264759185454, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, -2, 0, 2, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, 0, -1, -2, -2, 2, -4, 4, 1, 1, -2, 10, 6, 4, 8, 6, -6, -6, 12, 16, -2, 8, 12, 0, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 480240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '480240.l', 'trace_hash': 1475359352960949915}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.015253935490426385074364910350', 'prec': 107}, 'conductor': 480240, 'gens': [], 'heights': [], 'lmfdb_label': '480240.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32477091382880739079525274321', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5981673106304591263620219456557396565', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-746, 0, 1]], 'xcoord_integral_points': [-746]}
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lmfdb_label 480240.l1 does not appear in ec_iwasawa
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lmfdb_label 480240.l1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11836068
{'conductor': 480240, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '480240.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 11836069
{'conductor': 480240, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '480240.l1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11836070
{'conductor': 480240, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '480240.l1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 11836071
{'conductor': 480240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '480240.l1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 11836072
{'conductor': 480240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '480240.l1', 'prime': 29, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4608901
{'adelic_gens': [[2, 1, 8003, 0], [1, 2, 2, 5], [1, 4, 0, 1], [16005, 4, 16004, 5], [6004, 10009, 2001, 14008], [10676, 1, 5335, 0], [1, 0, 4, 1], [3, 4, 8, 11], [553, 4, 1106, 9], [11137, 4, 6266, 9]], 'adelic_image': '16008.12.0.?', 'conductor': 480240, 'lmfdb_label': '480240.l1', 'prime': 0}
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id: 1591917
{'conductor': 480240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '480240.l1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 480240.l does not appear in ec_padic