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ec_curvedata • Show schema
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{'Ciso': '6930c', 'Clabel': '6930c2', 'Cnumber': 2, 'abc_quality': 1.073259200681864, 'absD': 11296609077600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [1, -1, 0, 2226, -157132], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6930, 'degree': 15360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1858530782996183154300548040', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [61958108493, 573927200], 'lmfdb_iso': '6930.i', 'lmfdb_label': '6930.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 2226, -157132], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '280.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '0.36189386179853604688362087631', 'prec': 103}, 'szpiro_ratio': 4.234211094438517, '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, -1, -1, 0, -1, -1, 0, 2, 1, 0, 1, 0, 0, -2, 1], 'aplist': [-1, 0, 1, -1, -1, 2, 0, -2, 4, 10, -4, -4, -6, 6, -6, 6, 12, 0, 2, -2, -10, 0, 16, -18, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 6930, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '6930.i', 'trace_hash': 1690293943852683931}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.093321369502481773680362533231', 'prec': 107}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35475807321375425581732088102', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4190322928550170232692835240714191325', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[163, -163, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 1], '3': 'a', '5': [1, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6930.i2'}
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ec_torsion_growth • Show schema
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id: 363179
{'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [2, 2]}
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id: 363180
{'degree': 4, 'field': [-24, 0, -3, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [4]}
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id: 363183
{'degree': 8, 'field': [-1728, 0, 972, 0, 144, 0, 0, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [6]}
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id: 363181
{'degree': 8, 'field': [100, 0, 64, 0, 18, 0, -8, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [2, 4]}
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id: 363182
{'degree': 8, 'field': [900, 0, 3060, 0, 141, 0, 18, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [2, 4]}
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id: 363185
{'degree': 16, 'field': [5645376, 0, -3505032, 0, -766908, 0, 429624, 0, 54540, 0, 5724, 0, -288, 0, -12, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [2, 6]}
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id: 363184
{'degree': 16, 'field': [17808400, 0, 15052000, 0, -6150940, 0, 291400, 0, -104084, 0, 1376, 0, 401, 0, 26, 0, 1], 'lmfdb_label': '6930.i2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 141147
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '6930.i2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 141148
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6930.i2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 141149
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.i2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 141150
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.i2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 141151
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6930.i2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1709782
{'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [241, 4, 482, 9], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 6930, 'lmfdb_label': '6930.i2', 'prime': 0}
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id: 34233
{'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.i2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6930.i does not appear in ec_padic