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ec_curvedata • Show schema
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{'Ciso': '6930c', 'Clabel': '6930c1', 'Cnumber': 1, 'abc_quality': 1.0137437882325375, 'absD': 85358085120, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [1, -1, 0, -2094, -33580], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 6930, 'degree': 7680, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83927948801964566072143874329', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [51603494067, 4336640], 'lmfdb_iso': '6930.i', 'lmfdb_label': '6930.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2094, -33580], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '210.6.0.?', '280.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.015320271518563392175004815598', 'prec': 107}, 'szpiro_ratio': 3.907267046275062, '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': '0.18664273900496354736072506646', 'prec': 103}, 'conductor': 6930, 'gens': [], 'heights': [], 'lmfdb_label': '6930.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.70951614642750851163464176204', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4190322928550170232692835240714191325', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-20, 10, 1]], 'xcoord_integral_points': [-20]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '6930.i1'}
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ec_torsion_growth • Show schema
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id: 363172
{'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '6930.i1', 'torsion': [2, 2]}
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id: 363173
{'degree': 4, 'field': [7, -2, 3, -2, 1], 'lmfdb_label': '6930.i1', 'torsion': [4]}
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id: 363176
{'degree': 8, 'field': [-1728, 0, 972, 0, 144, 0, 0, 0, 1], 'lmfdb_label': '6930.i1', 'torsion': [6]}
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id: 363174
{'degree': 8, 'field': [36, 0, 2340, 0, 213, 0, 30, 0, 1], 'lmfdb_label': '6930.i1', 'torsion': [2, 4]}
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id: 363175
{'degree': 8, 'field': [2382766, 16214, -286117, -36430, 13741, 730, -223, -2, 1], 'lmfdb_label': '6930.i1', 'torsion': [2, 4]}
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id: 363178
{'degree': 16, 'field': [123904, 0, -2116048, 0, 1179145, 0, -332686, 0, 141415, 0, -17404, 0, 1663, 0, -70, 0, 1], 'lmfdb_label': '6930.i1', 'torsion': [2, 6]}
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id: 363177
{'degree': 16, 'field': [437393257, -392911008, 163376584, -16684304, -8727782, 13022520, -1143212, 297528, 449659, -222328, 79300, -19448, 4814, -632, 124, -8, 1], 'lmfdb_label': '6930.i1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 141142
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '6930.i1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 141143
{'conductor': 6930, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6930.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 141144
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.i1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 141145
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6930.i1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 141146
{'conductor': 6930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6930.i1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1709781
{'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [421, 4, 2, 9], [1, 0, 4, 1], [674, 1, 503, 0], [3, 4, 8, 11], [482, 1, 599, 0]], 'adelic_image': '840.12.0.?', 'conductor': 6930, 'lmfdb_label': '6930.i1', 'prime': 0}
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id: 34232
{'conductor': 6930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6930.i1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6930.i does not appear in ec_padic