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ec_curvedata • Show schema
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{'Ciso': '302016hi', 'Clabel': '302016hi2', 'Cnumber': 2, 'abc_quality': 0.9433902594003265, 'absD': 769224532822327296, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -3322337, 2329357215], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 302016, 'degree': 7864320, 'elladic_images': ['8.24.0.17'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4331904558660454028179615256', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 190, 'isogeny_degrees': [1, 2, 4], 'jinv': [8732907467857, 1656369], 'lmfdb_iso': '302016.hi', 'lmfdb_label': '302016.hi4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -429, 3384], 'min_quad_twist_disc': 88, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.1', '24.48.0-24.m.1.2', '88.48.0.?', '104.48.0.?', '264.96.0.?', '312.96.0.?', '572.24.0.?', '1144.96.0.?', '3432.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.1172794875071686202951481737', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 121], [3, 4, 100672], [11, 72, 2496], [13, 14, 23232]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19452204862694216666114155443', 'prec': 103}, 'szpiro_ratio': 4.490496422456256, '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, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 6, 0, 4, 0], 'aplist': [0, 1, 2, 0, 0, 1, 6, 4, 8, -10, 0, -6, -10, -4, -8, 10, -12, 14, -12, 0, 6, 8, -12, 2, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 302016, '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': '302016.hi', 'trace_hash': 319257887186290385}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0077011861869629620048350502194', 'prec': 110}, 'conductor': 302016, 'gens': [[1570, 31395, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.1172794875071686202951481737', 'prec': 100}], 'lmfdb_label': '302016.hi4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27546983475757744695582959910', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '13.481007756716142320829280068516141582', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[1041, 0, 1], [1063, 0, 1]], 'xcoord_integral_points': [-2105, 1041, 1063, 1570]}
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lmfdb_label 302016.hi4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12774137
{'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 4]}
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id: 12774138
{'degree': 4, 'field': [1, 0, 24, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 4]}
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id: 12774139
{'degree': 4, 'field': [144, 0, -2, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 4]}
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id: 12774144
{'degree': 8, 'field': [-702768, 0, 152768, 0, -2904, 0, 0, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 6]}
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id: 12774141
{'degree': 8, 'field': [-4143, 16476, -14024, -4804, 2153, 296, -94, -4, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 8]}
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id: 12774143
{'degree': 8, 'field': [1, 0, -4, 0, 2294, 0, -4, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 8]}
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id: 12774142
{'degree': 8, 'field': [9, -30, 67, -98, 98, -2, -7, -2, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 8]}
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id: 12774140
{'degree': 8, 'field': [1296, 0, 0, 0, -71, 0, 0, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [4, 4]}
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id: 12774145
{'degree': 16, 'field': [6561, 0, -8748, 0, 18873, 0, 11556, 0, 6544, 0, 1284, 0, 233, 0, -12, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 8]}
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id: 12774146
{'degree': 16, 'field': [20449, -163592, 654368, -1635920, 2779920, -3264976, 2599168, -1277848, 290878, 30824, -18176, 6704, -1008, -80, 32, -8, 1], 'lmfdb_label': '302016.hi4', 'torsion': [4, 8]}
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id: 12774147
{'degree': 16, 'field': [33732864, 0, -12266496, 0, 1115136, 0, -6431392, 0, 619520, 0, -8536, 0, 484, 0, -44, 0, 1], 'lmfdb_label': '302016.hi4', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 7480208
{'conductor': 302016, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '302016.hi4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7480209
{'conductor': 302016, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '302016.hi4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 7480210
{'conductor': 302016, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '302016.hi4', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7480211
{'conductor': 302016, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '302016.hi4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3562945
{'adelic_gens': [[3425, 8, 3424, 9], [1, 0, 8, 1], [1327, 6, 1314, 3427], [1, 8, 0, 1], [305, 3430, 3138, 5], [3427, 852, 6, 2581], [5, 4, 3428, 3429], [1145, 8, 1148, 33], [1711, 2568, 2580, 1723]], 'adelic_image': '3432.192.1.?', 'conductor': 302016, 'lmfdb_label': '302016.hi4', 'prime': 0}
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id: 1064214
{'conductor': 302016, 'elladic_image': '8.24.0.17', 'lmfdb_label': '302016.hi4', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 302016.hi does not appear in ec_padic