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ec_curvedata • Show schema
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{'Ciso': '64680cp', 'Clabel': '64680cp3', 'Cnumber': 3, 'abc_quality': 0.9815669003008649, 'absD': 289313689550054400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3080, 'ainvs': [0, 1, 0, -186216, -17001216], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 64680, 'degree': 786432, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0483432053037808794783601203', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 53, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '64680.cb', 'lmfdb_label': '64680.cb3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '28.24.0-4.b.1.1', '40.48.0.n.1', '56.48.0-8.d.2.1', '88.48.0.?', '280.96.0.?', '440.96.1.?', '616.96.0.?', '3080.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698069', 'prec': 103}, 'szpiro_ratio': 4.334810638707132, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -1, 0, 0, 0, 1, 0, -1, 0, 2, 0, -1, 0, 6, 0, 4, 0], 'aplist': [0, 1, -1, 0, -1, 2, 6, 4, 0, 6, 8, 6, -10, -4, 8, -10, 12, -6, -4, 0, 14, 0, -4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 64680, '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': '64680.cb', 'trace_hash': 264566288094049085}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.016627681526702888072789775888', 'prec': 107}, 'conductor': 64680, 'gens': [], 'heights': [], 'lmfdb_label': '64680.cb3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23807915051301082324205407951', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8092664082081731718728652722049168294', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[-96, 0, 1], [471, 0, 1]], 'xcoord_integral_points': [-376, -96, 471]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [0, 0], '7': 'a', '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '64680.cb3'}
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ec_torsion_growth • Show schema
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id: 3089502
{'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 4]}
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id: 3089503
{'degree': 4, 'field': [74, -24, 25, -2, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 4]}
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id: 3089504
{'degree': 4, 'field': [134, 16, -15, -2, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 4]}
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id: 3089508
{'degree': 8, 'field': [-7203, 0, 546056, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 6]}
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id: 3089506
{'degree': 8, 'field': [36, 132, -34, -174, 33, 62, -16, -4, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 8]}
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id: 3089507
{'degree': 8, 'field': [81, -252, 444, -412, 277, -88, 34, -4, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 8]}
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id: 3089505
{'degree': 8, 'field': [666, 468, -394, -156, 99, -28, 14, -4, 1], 'lmfdb_label': '64680.cb3', 'torsion': [4, 4]}
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id: 3089509
{'degree': 16, 'field': [11236, 0, 3792, 0, 54420, 0, -3408, 0, 4909, 0, -372, 0, 30, 0, -12, 0, 1], 'lmfdb_label': '64680.cb3', 'torsion': [4, 8]}
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id: 3089511
{'degree': 16, 'field': [175509504, 0, 57729024, 0, -8847360, 0, -3261952, 0, 467840, 0, -16192, 0, 1360, 0, -56, 0, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 12]}
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id: 3089510
{'degree': 16, 'field': [794852496, -210269376, 290487040, -144011680, 32436184, 43373744, -7787728, -5365720, 918641, 256464, -26908, -12032, 974, 448, -44, -8, 1], 'lmfdb_label': '64680.cb3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 1562152
{'conductor': 64680, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '64680.cb3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1562153
{'conductor': 64680, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '64680.cb3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 1562154
{'conductor': 64680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64680.cb3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1562155
{'conductor': 64680, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '64680.cb3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1562156
{'conductor': 64680, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '64680.cb3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2092347
{'adelic_gens': [[2521, 448, 2604, 1793], [879, 0, 0, 3079], [1, 0, 8, 1], [1, 8, 0, 1], [5, 4, 3076, 3077], [799, 2646, 2898, 435], [883, 2758, 1862, 2619], [3073, 8, 3072, 9], [1, 2534, 1764, 127]], 'adelic_image': '3080.192.1.?', 'conductor': 64680, 'lmfdb_label': '64680.cb3', 'prime': 0}
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id: 271246
{'conductor': 64680, 'elladic_image': '8.24.0.13', 'lmfdb_label': '64680.cb3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 64680.cb does not appear in ec_padic