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ec_curvedata • Show schema
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{'Ciso': '154869n', 'Clabel': '154869n2', 'Cnumber': 2, 'abc_quality': 0.9433902594003265, 'absD': 77925338866089, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 65208, 'ainvs': [1, 1, 0, -154876, -23520605], 'analytic_rank': 0, 'bad_primes': [3, 11, 13, 19], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 154869, 'degree': 884736, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6667415382101623966656552704', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 4], 'jinv': [8732907467857, 1656369], 'lmfdb_iso': '154869.l', 'lmfdb_label': '154869.l4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -429, 3384], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.m.1', '76.24.0.?', '88.24.0.?', '104.24.0.?', '264.48.0.?', '312.48.0.?', '456.48.0.?', '572.24.0.?', '1144.48.0.?', '1672.48.0.?', '1976.48.0.?', '3432.96.1.?', '5016.96.0.?', '5928.96.0.?', '10868.48.0.?', '21736.96.0.?', '65208.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.19452204862694216666114155446', 'prec': 103}, 'szpiro_ratio': 3.97183458339152, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, -1, -1, -2, -1, 0, -3, 1, -2, -1, 1, -1, 0, 2, -1, -6, 1, 0, 2], 'aplist': [1, -1, -2, 0, -1, -1, -6, 0, -8, 10, 0, -6, -10, 4, 8, 10, 12, 14, 12, 0, -6, -8, 12, -2, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 154869, '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': '154869.l', 'trace_hash': 309877360359275103}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.035668651813302139811867601016', 'prec': 107}, 'conductor': 154869, 'gens': [], 'heights': [], 'lmfdb_label': '154869.l4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24066232144467965456606779179', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.48132464288935930913213558358458416016', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[-230, 115, 1], [454, -227, 1]], 'xcoord_integral_points': [-230, 454]}
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lmfdb_label 154869.l4 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 6948505
{'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 4]}
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id: 6948507
{'degree': 4, 'field': [961, 0, -81, 0, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 4]}
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id: 6948506
{'degree': 4, 'field': [3006, -34, 35, -2, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 4]}
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id: 6948510
{'degree': 8, 'field': [16, 0, -60, 0, 221, 0, -15, 0, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 8]}
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id: 6948509
{'degree': 8, 'field': [6724, 0, 2472, 0, 173, 0, -6, 0, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 8]}
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id: 6948508
{'degree': 8, 'field': [2690561, 202858, -195856, -13882, 6637, 362, -116, -4, 1], 'lmfdb_label': '154869.l4', 'torsion': [4, 4]}
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id: 6948511
{'degree': 8, 'field': [3482317, -1327174, 66415, 16721, -731, -22, -20, -4, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 6]}
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id: 6948514
{'degree': 16, 'field': [450241, 0, -22993, 0, 221836, 0, 160359, 0, 40353, 0, 5937, 0, 631, 0, 38, 0, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 12]}
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id: 6948513
{'degree': 16, 'field': [206667524449, 0, -64956666284, 0, 7884520390, 0, -527709836, 0, 24577891, 0, -774812, 0, 16642, 0, -224, 0, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 8]}
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id: 6948512
{'degree': 16, 'field': [866656731136, 0, -119996588032, 0, 2153503744, 0, 332321280, 0, -12366528, 0, -255936, 0, 15472, 0, -160, 0, 1], 'lmfdb_label': '154869.l4', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 3831243
{'conductor': 154869, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154869.l4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3831244
{'conductor': 154869, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154869.l4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3831245
{'conductor': 154869, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154869.l4', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3831246
{'conductor': 154869, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '154869.l4', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2667282
{'adelic_gens': [[37751, 0, 0, 65207], [65201, 8, 65200, 9], [1, 0, 8, 1], [54607, 10298, 14022, 34315], [21737, 41192, 42332, 34353], [20597, 47196, 34314, 7715], [45943, 30894, 49362, 34315], [5, 4, 65204, 65205], [53201, 14592, 18012, 56621], [1, 8, 0, 1]], 'adelic_image': '65208.192.1.?', 'conductor': 154869, 'lmfdb_label': '154869.l4', 'prime': 0}
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id: 592427
{'conductor': 154869, 'elladic_image': '4.12.0.3', 'lmfdb_label': '154869.l4', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 154869.l does not appear in ec_padic