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ec_curvedata • Show schema
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{'Ciso': '190400bg', 'Clabel': '190400bg2', 'Cnumber': 2, 'abc_quality': 0.9714668238019474, 'absD': 111413038284800000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -6632300, 6554578000], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 190400, 'degree': 4423680, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7097183950755346246773165974', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 74, 'isogeny_degrees': [1, 2], 'jinv': [7876916680687209, 27200448800], 'lmfdb_iso': '190400.cw', 'lmfdb_label': '190400.cw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -4145, -101379], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '476.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4967213903787989711264779807', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [3, 2, 27200], [5, 18, 7616], [7, 8, 27200], [17, 18, 11200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86527866801856647325108874860', 'prec': 103}, 'szpiro_ratio': 4.831501015115881, '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, 0, 0, 1, 0, -3, 0, 2, 0, 0, 0, 0, 0, -1, 0, -6, 0], 'aplist': [0, 0, 0, 1, 2, 0, -1, -6, 0, 0, 0, -8, 6, 12, -4, -6, 6, 2, 8, 0, 6, 0, 6, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 190400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '190400.cw', 'trace_hash': 1281050885978920718}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0044296407627153355142305431992', 'prec': 110}, 'conductor': 190400, 'gens': [[570, 54400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4967213903787989711264779807', 'prec': 100}], 'lmfdb_label': '190400.cw1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18830194459772533153132300425', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7640531599041367661401442324336114050', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[1420, 0, 1]], 'xcoord_integral_points': [570, 1420, 1564, 2106]}
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lmfdb_label 190400.cw1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8383125
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '190400.cw1', 'torsion': [2, 2]}
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id: 8383126
{'degree': 4, 'field': [270, 75, -1, -1, 1], 'lmfdb_label': '190400.cw1', 'torsion': [4]}
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id: 8383129
{'degree': 8, 'field': [-30000, 0, 36000, 0, 600, 0, 0, 0, 1], 'lmfdb_label': '190400.cw1', 'torsion': [6]}
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id: 8383128
{'degree': 8, 'field': [63326, 35784, 11549, -122, 413, 164, -9, -2, 1], 'lmfdb_label': '190400.cw1', 'torsion': [2, 4]}
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id: 8383127
{'degree': 8, 'field': [146689, 0, -36100, 0, 3176, 0, -100, 0, 1], 'lmfdb_label': '190400.cw1', 'torsion': [2, 4]}
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id: 8383131
{'degree': 16, 'field': [11895601, 0, -4618276, 0, 3081652, 0, -690508, 0, 55510, 0, 1748, 0, -428, 0, -4, 0, 1], 'lmfdb_label': '190400.cw1', 'torsion': [2, 6]}
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id: 8383130
{'degree': 16, 'field': [12745506816, 0, 354041856, 0, 537560576, 0, 48250496, 0, 4550728, 0, 65856, 0, 1337, 0, -70, 0, 1], 'lmfdb_label': '190400.cw1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 4712300
{'conductor': 190400, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '190400.cw1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4712301
{'conductor': 190400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '190400.cw1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 4712302
{'conductor': 190400, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '190400.cw1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 4712303
{'conductor': 190400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '190400.cw1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2886347
{'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [121, 834, 832, 119], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [949, 4, 948, 5], [785, 4, 618, 9], [2, 1, 475, 0]], 'adelic_image': '952.12.0.?', 'conductor': 190400, 'lmfdb_label': '190400.cw1', 'prime': 0}
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id: 710023
{'conductor': 190400, 'elladic_image': '8.6.0.6', 'lmfdb_label': '190400.cw1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 190400.cw does not appear in ec_padic