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ec_curvedata • Show schema
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{'Ciso': '323400ct', 'Clabel': '323400ct2', 'Cnumber': 2, 'abc_quality': 0.8802915911009773, 'absD': 267855713664000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4620, 'ainvs': [0, -1, 0, -21968, 982332], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 323400, 'degree': 884736, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4809456394899238725635686295', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 71, 'isogeny_degrees': [1, 2], 'jinv': [77860436, 17787], 'lmfdb_iso': '323400.ct', 'lmfdb_label': '323400.ct1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -448, -2992], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '924.6.0.?', '1540.6.0.?', '4620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2941977679408277534694629033', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47199156361287896482032434341', 'prec': 107}, 'szpiro_ratio': 3.279485963041041, '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, 0, 0, 0, 0, 1, 0, 1, 0, -4, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 1, -4, 2, -4, -2, 0, 2, -8, 6, 4, 0, -6, -4, -6, 4, 0, 4, -14, 6, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 323400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '323400.ct', 'trace_hash': 1388001611521589853}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.051721005762000318717096933756', 'prec': 107}, 'conductor': 323400, 'gens': [[166, 1372, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2941977679408277534694629033', 'prec': 100}], 'lmfdb_label': '323400.ct1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51904854153475748345728330798', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3740117112578012900056206950060793517', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[117, 0, 1]], 'xcoord_integral_points': [117, 153, 166, 502]}
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lmfdb_label 323400.ct1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13587400
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '323400.ct1', 'torsion': [2, 2]}
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id: 13587401
{'degree': 4, 'field': [15, 0, -40, 0, 1], 'lmfdb_label': '323400.ct1', 'torsion': [4]}
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id: 13587404
{'degree': 8, 'field': [-349, -613736, 257282, 16202, 5590, -1102, -38, -4, 1], 'lmfdb_label': '323400.ct1', 'torsion': [6]}
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id: 13587402
{'degree': 8, 'field': [27076, 10472, -640, 272, 49, -62, -10, -2, 1], 'lmfdb_label': '323400.ct1', 'torsion': [2, 4]}
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id: 13587403
{'degree': 8, 'field': [129600, 0, -42000, 0, 4180, 0, -140, 0, 1], 'lmfdb_label': '323400.ct1', 'torsion': [2, 4]}
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id: 13587405
{'degree': 16, 'field': [2214474348321, 0, -685271354148, 0, 71381314020, 0, -3078854508, 0, 54056854, 0, -660412, 0, 14820, 0, -52, 0, 1], 'lmfdb_label': '323400.ct1', 'torsion': [8]}
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id: 13587406
{'degree': 16, 'field': [19397263342996, 3374405032768, -3988598958960, 214013905560, 93465673980, -21496881336, 5838333172, -310325960, -21596340, -14595120, 583692, 72396, 31760, -1060, -180, -8, 1], 'lmfdb_label': '323400.ct1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8003437
{'conductor': 323400, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '323400.ct1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8003438
{'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '323400.ct1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8003439
{'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '323400.ct1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8003440
{'conductor': 323400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '323400.ct1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 8003441
{'conductor': 323400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '323400.ct1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3689845
{'adelic_gens': [[1156, 3469, 3465, 1156], [661, 4, 1322, 9], [1, 2, 2, 5], [1, 4, 0, 1], [3082, 1, 3079, 0], [2521, 4, 422, 9], [928, 1, 923, 0], [1, 0, 4, 1], [4617, 4, 4616, 5], [3, 4, 8, 11]], 'adelic_image': '4620.12.0.?', 'conductor': 323400, 'lmfdb_label': '323400.ct1', 'prime': 0}
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id: 1129161
{'conductor': 323400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '323400.ct1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 323400.ct does not appear in ec_padic