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ec_curvedata • Show schema
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{'Ciso': '40075h', 'Clabel': '40075h1', 'Cnumber': 1, 'abc_quality': 0.9931007402128851, 'absD': 17924169921875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 70, 'ainvs': [0, 0, 1, -17999425, -29392468469], 'analytic_rank': 0, 'bad_primes': [5, 7, 229], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 40075, 'degree': 2905920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5048912292645189190989813716', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1], 'jinv': [-41274287110762297307136, 1147146875], 'lmfdb_iso': '40075.p', 'lmfdb_label': '40075.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -719977, -235139748], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['70.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 175], [5, 14, 1603], [7, 8, 5725], [229, 230, 175]], 'sha': 81, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7001722730474687317986017050', 'prec': 100}, 'szpiro_ratio': 5.824513627453045, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 2, 3, 2, 0, 6, -1, 0, 6, 0, 5, 6, 1, -2, 0, -4, -3, 12, 2, 0], 'aplist': [2, 3, 0, -1, 5, 1, -3, 2, -6, 5, 2, 8, 6, 4, 1, -6, 0, 10, -8, 12, 10, 9, -4, 12, -11], 'class_deg': 1, 'class_size': 1, 'conductor': 40075, 'isogeny_matrix': [[1]], 'lmfdb_iso': '40075.p', 'trace_hash': 773555406958906107}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0066723546622324949985639040839', 'prec': 110}, 'conductor': 40075, 'gens': [], 'heights': [], 'lmfdb_label': '40075.p1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.036648390059638444170366271561', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '81.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.874078379322855911198671985660640413', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 7, 0], '3': [2, 6, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [2, 0], '229': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '40075.p1'}
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ec_torsion_growth • Show schema
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id: 1971482
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '40075.p1', 'torsion': [2]}
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id: 1971483
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '40075.p1', 'torsion': [2, 2]}
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id: 1971484
{'degree': 8, 'field': [1, -4, 4, -241, 235, -241, 4, -4, 1], 'lmfdb_label': '40075.p1', 'torsion': [3]}
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id: 1971485
{'degree': 12, 'field': [-19098917, 3076690, 1386042, -557068, 162225, 11364, -4416, 2036, -755, -46, 2, -4, 1], 'lmfdb_label': '40075.p1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 947680
{'conductor': 40075, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '40075.p1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 947681
{'conductor': 40075, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '40075.p1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 947682
{'conductor': 40075, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '40075.p1', 'prime': 229, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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{'adelic_gens': [[69, 2, 68, 3], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [57, 2, 57, 3], [1, 1, 69, 0]], 'adelic_image': '70.2.0.?', 'conductor': 40075, 'lmfdb_label': '40075.p1', 'prime': 0}
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lmfdb_iso 40075.p does not appear in ec_padic
