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ec_curvedata • Show schema
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{'Ciso': '6720ca', 'Clabel': '6720ca3', 'Cnumber': 3, 'abc_quality': 0.9870093428162598, 'absD': 20643840, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -26881, -1705345], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 6720, 'degree': 8192, 'elladic_images': ['8.24.0.95'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98190961470445206076621796064', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [32779037733124, 315], 'lmfdb_iso': '6720.bw', 'lmfdb_label': '6720.bw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -6720, 209808], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.9', '48.48.0-48.h.1.11', '80.48.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.057713373957858314876575132029', 'prec': 107}, 'szpiro_ratio': 4.789732796333331, '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, -1, 0, 1, 0, 1, 0, 4, 0, 2, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, 1, 4, 2, 2, 4, 0, 2, -8, 2, 2, 4, 0, 10, -12, -6, 12, 0, -6, 8, 4, 2, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 6720, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '6720.bw', 'trace_hash': 901733934894741258}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14032147630738026208017160357', 'prec': 103}, 'conductor': 6720, 'gens': [], 'heights': [], 'lmfdb_label': '6720.bw1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.37285232311100548266982857589', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9828185848880438613586286071001279746', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-95, 0, 1]], 'xcoord_integral_points': [-95]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '6720.bw1'}
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ec_torsion_growth • Show schema
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id: 353325
{'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [2, 2]}
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id: 353327
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [4]}
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id: 353326
{'degree': 2, 'field': [70, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [4]}
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id: 353329
{'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '6720.bw1', 'torsion': [8]}
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id: 353330
{'degree': 4, 'field': [121, 0, -20, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [8]}
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id: 353328
{'degree': 4, 'field': [289, 0, 36, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [2, 4]}
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id: 353334
{'degree': 8, 'field': [-243, 0, 666, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [6]}
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id: 353332
{'degree': 8, 'field': [841, 0, 598, 0, 699, 0, 52, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [8]}
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id: 353333
{'degree': 8, 'field': [2116, 0, 1260, 0, 197, 0, 0, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [2, 8]}
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id: 353331
{'degree': 8, 'field': [96721, 0, -7592, 0, -606, 0, -8, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [2, 4]}
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id: 353341
{'degree': 16, 'field': [1296, 0, 5184, 0, 5184, 0, -688, 0, -904, 0, 152, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [12]}
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id: 353336
{'degree': 16, 'field': [4225, 0, -99900, 0, 2769370, 0, -2557480, 0, 782451, 0, -87112, 0, 4474, 0, -108, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [2, 8]}
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id: 353339
{'degree': 16, 'field': [19044, 0, -25056, 0, -282140, 0, 510192, 0, 84540, 0, 1332, 0, -528, 0, 0, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [2, 6]}
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id: 353335
{'degree': 16, 'field': [47210641, 0, -17084832, 0, 2707330, 0, -360252, 0, 44799, 0, -828, 0, 370, 0, 12, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [4, 4]}
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id: 353340
{'degree': 16, 'field': [362445444, 0, 229003464, 0, 296750260, 0, 12874992, 0, 258420, 0, 29612, 0, 312, 0, 0, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [12]}
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id: 353337
{'degree': 16, 'field': [1944810000, 0, -555660000, 0, 66150000, 0, -2835000, 0, -213975, 0, 13500, 0, 1500, 0, 60, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [16]}
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id: 353338
{'degree': 16, 'field': [9845600625, 0, -2625493500, 0, 466754400, 0, -45564120, 0, 3210039, 0, -144648, 0, 4704, 0, -84, 0, 1], 'lmfdb_label': '6720.bw1', 'torsion': [16]}
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ec_localdata • Show schema
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id: 136862
{'conductor': 6720, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '6720.bw1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 136863
{'conductor': 6720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '6720.bw1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 136864
{'conductor': 6720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6720.bw1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 136865
{'conductor': 6720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6720.bw1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1708281
{'adelic_gens': [[5, 4, 1676, 1677], [614, 413, 817, 738], [1, 16, 0, 1], [1665, 16, 1664, 17], [248, 1, 559, 10], [15, 2, 1582, 1667], [1133, 16, 304, 1365], [1, 0, 16, 1], [352, 5, 1635, 1666], [1667, 1664, 996, 935]], 'adelic_image': '1680.192.1.?', 'conductor': 6720, 'lmfdb_label': '6720.bw1', 'prime': 0}
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id: 33149
{'conductor': 6720, 'elladic_image': '8.24.0.95', 'lmfdb_label': '6720.bw1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 6720.bw does not appear in ec_padic