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ec_curvedata • Show schema
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{'Ciso': '75c', 'Clabel': '75c1', 'Cnumber': 1, 'abc_quality': 1.131038420174359, 'absD': 6075, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 30, 'ainvs': [0, 1, 1, 2, 4], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 75, 'degree': 6, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.59309833409467281468519193126', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [20480, 243], 'lmfdb_iso': '75.a', 'lmfdb_label': '75.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 2, 4], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '6.2.0.a.1', '30.48.1-30.d.1.4'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86133798616702287711865182013', 'prec': 107}, 'szpiro_ratio': 3.732877587463999, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -2, 1, 2, 0, -2, 3, 0, 1, 0, 2, 2, -1, -6, 0, -4, -2, -2, -5, 0], 'aplist': [-2, 1, 0, 3, 2, -1, -2, -5, -6, 10, -3, -2, -8, -1, -2, 4, -10, 7, 3, -8, 14, 0, -6, 0, -17], 'class_deg': 5, 'class_size': 2, 'conductor': 75, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '75.a', 'trace_hash': 2059292129865388632}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '3.2746030911128196415900129745', 'prec': 100}, 'conductor': 75, 'gens': [], 'heights': [], 'lmfdb_label': '75.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '3.1361746474819615129577581845', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.62723492949639230259155163689191200894', 'prec': 133}, 'tamagawa_product': 5, 'torsion_generators': [[2, 4, 1]], 'xcoord_integral_points': [-1, 2]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 1, 0], '3': [1, 0], '5': 'a'}, 'iwp0': 7, 'lmfdb_label': '75.a2'}
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ec_torsion_growth • Show schema
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id: 2739
{'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '75.a2', 'torsion': [10]}
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id: 2740
{'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '75.a2', 'torsion': [2, 10]}
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id: 2741
{'degree': 8, 'field': [9, -9, -15, 3, 15, -2, -3, 0, 1], 'lmfdb_label': '75.a2', 'torsion': [15]}
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id: 2742
{'degree': 12, 'field': [-9, 54, -96, 60, -45, 84, -44, -4, -5, 10, 4, -4, 1], 'lmfdb_label': '75.a2', 'torsion': [20]}
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id: 2743
{'degree': 20, 'field': [1, 0, 0, -15, 65, -128, 175, -285, 585, -925, 879, -375, -35, -85, 445, -552, 375, -165, 50, -10, 1], 'lmfdb_label': '75.a2', 'torsion': [5, 5]}
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ec_localdata • Show schema
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id: 424
{'conductor': 75, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '75.a2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 425
{'conductor': 75, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '75.a2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666074
{'adelic_gens': [[1, 0, 10, 1], [1, 10, 0, 1], [1, 10, 0, 7], [21, 10, 20, 11], [11, 10, 25, 21], [6, 13, 5, 1]], 'adelic_image': '30.48.1.?', 'conductor': 75, 'lmfdb_label': '75.a2', 'prime': 0}
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id: 232
{'conductor': 75, 'elladic_image': '5.24.0.1', 'lmfdb_label': '75.a2', 'modell_image': '5B.1.1', 'prime': 5}
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lmfdb_iso 75.a does not appear in ec_padic