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ec_curvedata • Show schema
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{'Ciso': '3192b', 'Clabel': '3192b3', 'Cnumber': 3, 'abc_quality': 1.0658760486481362, 'absD': 506646088704, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [0, -1, 0, -20104, -1089956], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3192, 'degree': 6144, 'elladic_images': ['4.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1927971364016506714625676269', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [877592260337188, 494771571], 'lmfdb_iso': '3192.c', 'lmfdb_label': '3192.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -20104, -1089956], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '24.24.0-24.z.1.16', '76.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.61517448593502958028154085902', 'prec': 103}, 'szpiro_ratio': 5.123650271757741, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -2, 0, -1, 0, 1, 0, 0, 0, -2, 0, 2, 0, 2, 0, 1, 0], 'aplist': [0, -1, -2, -1, 0, -2, 2, 1, -4, 2, 0, -10, -10, 4, 12, -6, -4, 14, -4, -16, 10, 16, 8, 6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 3192, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3192.c', 'trace_hash': 156226552298379636}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.092034269861092336818317918358', 'prec': 107}, 'conductor': 3192, 'gens': [], 'heights': [], 'lmfdb_label': '3192.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40095148999091041519207204392', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.80190297998182083038414408783729012713', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-83, 0, 1]], 'xcoord_integral_points': [-83]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '7': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '3192.c1'}
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ec_torsion_growth • Show schema
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id: 166379
{'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 2]}
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id: 166380
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [4]}
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id: 166381
{'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '3192.c1', 'torsion': [4]}
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id: 166383
{'degree': 4, 'field': [-146, -124, -8, -2, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 4]}
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id: 166382
{'degree': 4, 'field': [25, 0, -9, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 4]}
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id: 166387
{'degree': 8, 'field': [-27, 0, 648, 0, 90, 0, 4, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [6]}
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id: 166384
{'degree': 8, 'field': [54289, -466, 2, 926, -457, -10, 8, -4, 1], 'lmfdb_label': '3192.c1', 'torsion': [4, 4]}
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id: 166386
{'degree': 8, 'field': [92416, 0, -11552, 0, 1140, 0, -38, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [8]}
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id: 166385
{'degree': 8, 'field': [866761, 0, 0, 0, -1813, 0, 0, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [8]}
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id: 166392
{'degree': 16, 'field': [1936, -9856, 25088, -21472, 7392, 5648, -5472, 5408, -2360, -192, 712, -400, 188, -84, 32, -8, 1], 'lmfdb_label': '3192.c1', 'torsion': [12]}
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id: 166393
{'degree': 16, 'field': [209891, -847926, 1277634, -727388, -148442, 632076, -147340, 16346, 36156, -16834, 6694, -1896, 434, -92, 24, -6, 1], 'lmfdb_label': '3192.c1', 'torsion': [12]}
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id: 166390
{'degree': 16, 'field': [13868176, 0, 0, 0, 7924672, 0, 0, 0, -502740, 0, 0, 0, 2128, 0, 0, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 8]}
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id: 166391
{'degree': 16, 'field': [23357889, 0, -6136524, 0, -1176180, 0, 169876, 0, -32026, 0, 3244, 0, -368, 0, -4, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 6]}
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id: 166389
{'degree': 16, 'field': [33362176, 0, 0, 0, -1207184, 0, 0, 0, 37905, 0, 0, 0, -209, 0, 0, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 8]}
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id: 166388
{'degree': 16, 'field': [1475789056, 0, 0, 0, 20706224, 0, 0, 0, 252105, 0, 0, 0, 539, 0, 0, 0, 1], 'lmfdb_label': '3192.c1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 57619
{'conductor': 3192, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '3192.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 57620
{'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '3192.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 57621
{'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3192.c1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 57622
{'conductor': 3192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3192.c1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1684721
{'adelic_gens': [[7, 6, 450, 451], [305, 8, 308, 33], [388, 1, 407, 6], [400, 179, 403, 432], [1, 0, 8, 1], [449, 8, 448, 9], [403, 402, 298, 67], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '456.48.0.?', 'conductor': 3192, 'lmfdb_label': '3192.c1', 'prime': 0}
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id: 15992
{'conductor': 3192, 'elladic_image': '4.12.0.8', 'lmfdb_label': '3192.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 3192.c does not appear in ec_padic