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ec_curvedata • Show schema
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{'Ciso': '1980c', 'Clabel': '1980c2', 'Cnumber': 2, 'abc_quality': 0.8413431679209582, 'absD': 338722560, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 660, 'ainvs': [0, 0, 0, -687, -6874], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1980, 'degree': 768, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45747670567347924021598905745', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [192143824, 1815], 'lmfdb_iso': '1980.e', 'lmfdb_label': '1980.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -76, 280], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '44.6.0.c.1', '60.6.0.a.1', '660.12.0.?'], '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': '-0.55392755903387247842645497532', 'prec': 107}, 'szpiro_ratio': 4.111607682620054, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, -4, 0, 0, 0, 2, 0, 2, 0], 'aplist': [0, 0, 1, 0, -1, -4, 2, 2, 8, 4, -4, -2, 12, 8, 4, 10, -4, 6, 12, 0, -16, 6, 2, -18, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 1980, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1980.e', 'trace_hash': 1719090627780098837}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.40053528605561705213973521687', 'prec': 103}, 'conductor': 1980, 'gens': [], 'heights': [], 'lmfdb_label': '1980.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.93305661795938991193594574260', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8661132359187798238718914852020249075', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-14, 0, 1]], 'xcoord_integral_points': [-14]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '11': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1980.e1'}
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ec_torsion_growth • Show schema
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id: 100182
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '1980.e1', 'torsion': [2, 2]}
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id: 100183
{'degree': 4, 'field': [15, 0, -4, 0, 1], 'lmfdb_label': '1980.e1', 'torsion': [4]}
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id: 100186
{'degree': 8, 'field': [-50, -100, 70, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '1980.e1', 'torsion': [6]}
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id: 100184
{'degree': 8, 'field': [40, 9040, 7640, 2320, 16, -184, -4, -4, 1], 'lmfdb_label': '1980.e1', 'torsion': [2, 4]}
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id: 100185
{'degree': 8, 'field': [2025, 1350, 750, 450, 91, -30, -8, 0, 1], 'lmfdb_label': '1980.e1', 'torsion': [2, 4]}
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id: 100188
{'degree': 16, 'field': [1440000, 0, -288000, 0, -526400, 0, -29775, 0, 13650, 0, -2095, 0, 465, 0, -30, 0, 1], 'lmfdb_label': '1980.e1', 'torsion': [2, 6]}
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id: 100187
{'degree': 16, 'field': [198759265, -54923620, 216969130, -58429120, 89475294, -22254768, 17782506, -3893820, 1837798, -340380, 98862, -15672, 3054, -376, 70, -4, 1], 'lmfdb_label': '1980.e1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 32413
{'conductor': 1980, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1980.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 32414
{'conductor': 1980, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '1980.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 32415
{'conductor': 1980, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1980.e1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 32416
{'conductor': 1980, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1980.e1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1676898
{'adelic_gens': [[496, 169, 165, 496], [1, 2, 2, 5], [134, 1, 263, 0], [1, 4, 0, 1], [541, 4, 422, 9], [1, 0, 4, 1], [3, 4, 8, 11], [442, 1, 439, 0], [657, 4, 656, 5]], 'adelic_image': '660.12.0.?', 'conductor': 1980, 'lmfdb_label': '1980.e1', 'prime': 0}
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id: 9711
{'conductor': 1980, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1980.e1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 1980.e does not appear in ec_padic