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ec_curvedata • Show schema
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{'Ciso': '1785l', 'Clabel': '1785l2', 'Cnumber': 2, 'abc_quality': 1.0359512644299944, 'absD': 6559875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 3570, 'ainvs': [0, 1, 1, -12381, -534400], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1785, 'degree': 1584, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81189993505931948710586291713', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 7, 'isogeny_degrees': [1, 3], 'jinv': [-209906535145406464, 6559875], 'lmfdb_iso': '1785.h', 'lmfdb_label': '1785.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -12381, -534400], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '1190.2.0.?', '3570.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81189993505931948710586291713', 'prec': 103}, 'szpiro_ratio': 5.327168894271204, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, -2, -1, 0, 1, 0, 1, 0, -6, -2, -1, 0, -1, 4, 1, 0, 2, 2], 'aplist': [0, 1, -1, 1, -6, -1, 1, 2, 3, 0, 5, 5, 9, 8, -9, 0, 0, 5, 8, 6, -16, 2, 3, 6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 1785, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1785.h', 'trace_hash': 715207955316977040}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.19714813665343945903697274808', 'prec': 103}, 'conductor': 1785, 'gens': [], 'heights': [], 'lmfdb_label': '1785.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22629643080011146916106694556', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3577785848006688149664016733365554904', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 2, 0], '3': [3, 1], '5': [0, 0], '7': [1, 0], '17': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '1785.h1'}
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ec_torsion_growth • Show schema
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id: 90772
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '1785.h1', 'torsion': [3]}
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id: 90774
{'degree': 3, 'field': [-153, 0, 0, 1], 'lmfdb_label': '1785.h1', 'torsion': [3]}
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id: 90773
{'degree': 3, 'field': [-9, -1, -1, 1], 'lmfdb_label': '1785.h1', 'torsion': [2]}
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id: 90777
{'degree': 6, 'field': [81, 9, -8, 19, 2, -1, 1], 'lmfdb_label': '1785.h1', 'torsion': [6]}
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id: 90776
{'degree': 6, 'field': [867, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1785.h1', 'torsion': [3, 3]}
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id: 90775
{'degree': 6, 'field': [2380, 0, 16, 0, -8, 0, 1], 'lmfdb_label': '1785.h1', 'torsion': [2, 2]}
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id: 90778
{'degree': 9, 'field': [2896326, 214110, -99414, 99485, 1401, -864, 437, 0, -3, 1], 'lmfdb_label': '1785.h1', 'torsion': [6]}
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id: 90779
{'degree': 12, 'field': [-2637963, 2875176, -2190012, 974874, -196633, 6676, 20260, -14620, 4293, -628, 56, -2, 1], 'lmfdb_label': '1785.h1', 'torsion': [4]}
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id: 90780
{'degree': 12, 'field': [49, -588, 2933, -6972, 9108, -6516, 1795, 306, -48, -30, 17, -6, 1], 'lmfdb_label': '1785.h1', 'torsion': [2, 6]}
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id: 90782
{'degree': 18, 'field': [993760572, -436211748, -274653288, 375221640, -70672320, -26541342, 33743401, -690027, 1789839, -1196690, 17853, -25125, 2156, 807, 33, 44, 9, -3, 1], 'lmfdb_label': '1785.h1', 'torsion': [3, 6]}
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id: 90781
{'degree': 18, 'field': [30406385320128, 0, 0, -971753471640, 0, 0, 13420449927, 0, 0, -84341250, 0, 0, 333351, 0, 0, -840, 0, 0, 1], 'lmfdb_label': '1785.h1', 'torsion': [9]}
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id: 90783
{'degree': 18, 'field': [111945323014875, 0, 0, 0, 0, 0, 16762225131, 0, 0, 0, 0, 0, 108477, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1785.h1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 28749
{'conductor': 1785, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1785.h1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 28750
{'conductor': 1785, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1785.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 28751
{'conductor': 1785, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1785.h1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 28752
{'conductor': 1785, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1785.h1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1675694
{'adelic_gens': [[4, 3, 9, 7], [3565, 6, 3564, 7], [1261, 6, 213, 19], [2857, 6, 1431, 19], [2978, 597, 1795, 7], [1, 6, 0, 1], [3, 4, 8, 11], [2551, 6, 513, 19], [1, 0, 6, 1]], 'adelic_image': '3570.16.0.?', 'conductor': 1785, 'lmfdb_label': '1785.h1', 'prime': 0}
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id: 8765
{'conductor': 1785, 'elladic_image': '3.8.0.2', 'lmfdb_label': '1785.h1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 1785.h does not appear in ec_padic