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ec_curvedata • Show schema
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{'Ciso': '9680l', 'Clabel': '9680l2', 'Cnumber': 2, 'abc_quality': 1.008607795198146, 'absD': 5451776000000, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 660, 'ainvs': [0, 1, 0, -59616, 5581684], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9680, 'degree': 34560, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4347086049638675918530664837', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [4298149261979, 1000000], 'lmfdb_iso': '9680.c', 'lmfdb_label': '9680.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -3726, -89077], 'min_quad_twist_disc': -4, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.d.1', '20.6.0.e.1', '33.12.0.a.1', '44.6.0.a.1', '60.72.1.ew.1', '66.36.0.a.1', '132.72.1.?', '220.12.0.?', '660.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, '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': '0.14208760620432964642034846775', 'prec': 103}, 'szpiro_ratio': 4.859614955370684, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, -1, 0, 0, 0, 1, 0, 0, 0, 6, 0, 2, 0, 6, 0, 0, 0], 'aplist': [0, -2, -1, 0, 0, 6, 6, 0, 6, 0, -4, -2, 12, 12, -6, 6, 0, 0, 14, 0, 6, 12, 12, 6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 9680, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9680.c', 'trace_hash': 191885652221601039}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.056731979781969218289404696435', 'prec': 107}, 'conductor': 9680, 'gens': [], 'heights': [], 'lmfdb_label': '9680.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.74271745059899924972613968719', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4854349011979984994522793743755743615', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[139, 0, 1]], 'xcoord_integral_points': [139]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '9680.c1'}
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ec_torsion_growth • Show schema
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id: 502295
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [2, 2]}
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id: 502298
{'degree': 4, 'field': [-44, 0, -11, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [6]}
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id: 502296
{'degree': 4, 'field': [4, 2, 10, -1, 1], 'lmfdb_label': '9680.c1', 'torsion': [4]}
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id: 502297
{'degree': 4, 'field': [33, 0, 11, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [6]}
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id: 502299
{'degree': 8, 'field': [16, 0, -32, 0, -20, 0, -8, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [2, 4]}
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id: 502302
{'degree': 8, 'field': [16, 0, 12, 0, 13, 0, 3, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [2, 6]}
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id: 502303
{'degree': 8, 'field': [64, 0, -60, 0, 29, 0, -9, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [2, 6]}
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id: 502300
{'degree': 8, 'field': [784, 344, 390, -110, -39, 22, 12, -4, 1], 'lmfdb_label': '9680.c1', 'torsion': [2, 4]}
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id: 502301
{'degree': 8, 'field': [1089, 0, -363, 0, 88, 0, -11, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [3, 6]}
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id: 502305
{'degree': 16, 'field': [256, 0, -192, 0, -64, 0, -60, 0, 117, 0, -15, 0, -4, 0, -3, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [6, 6]}
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id: 502304
{'degree': 16, 'field': [256, 0, 384, 0, 972, 0, -1048, 0, 365, 0, -112, 0, 47, 0, 16, 0, 1], 'lmfdb_label': '9680.c1', 'torsion': [8]}
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id: 502306
{'degree': 16, 'field': [1181, -1218, 2234, -3098, 4880, -6100, 6316, -5434, 4049, -2604, 1436, -650, 260, -98, 34, -8, 1], 'lmfdb_label': '9680.c1', 'torsion': [12]}
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id: 502307
{'degree': 16, 'field': [3400, -4600, 7460, -6480, 5554, -4190, 4569, -4528, 3794, -2420, 1177, -456, 167, -70, 30, -8, 1], 'lmfdb_label': '9680.c1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 203788
{'conductor': 9680, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '9680.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 203789
{'conductor': 9680, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '9680.c1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 203790
{'conductor': 9680, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '9680.c1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1727912
{'adelic_gens': [[7, 12, 144, 247], [386, 507, 495, 386], [397, 12, 402, 73], [1, 12, 0, 221], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [5, 12, 612, 545], [1, 12, 0, 1], [552, 5, 127, 588]], 'adelic_image': '660.144.5.?', 'conductor': 9680, 'lmfdb_label': '9680.c1', 'prime': 0}
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id: 46773
{'conductor': 9680, 'elladic_image': '2.3.0.1', 'lmfdb_label': '9680.c1', 'modell_image': '2B', 'prime': 2}
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id: 46774
{'conductor': 9680, 'elladic_image': '3.6.0.1', 'lmfdb_label': '9680.c1', 'modell_image': '3Ns', 'prime': 3}
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lmfdb_iso 9680.c does not appear in ec_padic