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ec_curvedata • Show schema
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{'Ciso': '70800cq', 'Clabel': '70800cq1', 'Cnumber': 1, 'abc_quality': 1.058729821515299, 'absD': 2867400000000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 3540, 'ainvs': [0, 1, 0, -112133, -14258637], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 59], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 70800, 'degree': 384000, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7606880283353121526802107173', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 61, 'isogeny_degrees': [1, 5], 'jinv': [2436396322816, 44803125], 'lmfdb_iso': '70800.cj', 'lmfdb_label': '70800.cj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -280, 1684], 'min_quad_twist_disc': -20, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '20.24.0-5.a.1.1', '1770.24.1.?', '3540.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26282189155831665596259892923', 'prec': 103}, 'szpiro_ratio': 4.16346174066525, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, -2, 0, 1, 0, 3, 0, 1, 0, 0, 0, -3, 0, 5, 0], 'aplist': [0, 1, 0, -2, 3, 1, -3, 5, -6, 0, 8, -3, 2, -11, 8, -9, 1, -8, 3, 8, 1, 5, -6, 5, 2], 'class_deg': 5, 'class_size': 2, 'conductor': 70800, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '70800.cj', 'trace_hash': 572933811243791572}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.029558732678571103392471761919', 'prec': 107}, 'conductor': 70800, 'gens': [], 'heights': [], 'lmfdb_label': '70800.cj2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26118650015717408484130290303', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6118650015717408484130290303344435741', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [2, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '59': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '70800.cj2'}
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ec_torsion_growth • Show schema
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id: 3365567
{'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '70800.cj2', 'torsion': [5]}
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id: 3365568
{'degree': 3, 'field': [-15, -15, -1, 1], 'lmfdb_label': '70800.cj2', 'torsion': [2]}
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id: 3365570
{'degree': 6, 'field': [20, 0, 144, 0, 24, 0, 1], 'lmfdb_label': '70800.cj2', 'torsion': [10]}
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id: 3365569
{'degree': 6, 'field': [60, 180, 76, -120, -62, 0, 1], 'lmfdb_label': '70800.cj2', 'torsion': [2, 2]}
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id: 3365571
{'degree': 8, 'field': [-12675, 0, 305, 0, 390, 0, 0, 0, 1], 'lmfdb_label': '70800.cj2', 'torsion': [3]}
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id: 3365573
{'degree': 12, 'field': [9, 0, 633, 0, 8590, 0, 4565, 0, 810, 0, 53, 0, 1], 'lmfdb_label': '70800.cj2', 'torsion': [2, 10]}
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id: 3365572
{'degree': 12, 'field': [15159015, 16903350, 3611862, -667548, -461649, -153336, 10348, 1412, 1699, -134, 22, -4, 1], 'lmfdb_label': '70800.cj2', 'torsion': [4]}
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id: 3365574
{'degree': 16, 'field': [77625, -108000, 1257075, -3155250, 3840690, -3061030, 1622021, -570088, 215525, -56860, 20183, -5612, 1633, -350, 70, -8, 1], 'lmfdb_label': '70800.cj2', 'torsion': [15]}
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id: 3365575
{'degree': 20, 'field': [4345661, 3585106, 17422262, -30912826, 14480363, 39660766, 29050252, 31371154, 23190688, 10198766, 5116111, 2654678, 506781, -195898, -97246, -3164, 4339, 428, -89, -8, 1], 'lmfdb_label': '70800.cj2', 'torsion': [5]}
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ec_localdata • Show schema
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id: 1717145
{'conductor': 70800, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '70800.cj2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1717146
{'conductor': 70800, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '70800.cj2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 1717147
{'conductor': 70800, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '70800.cj2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 1717148
{'conductor': 70800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '70800.cj2', 'prime': 59, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2132643
{'adelic_gens': [[3534, 3527, 1825, 1889], [1, 0, 10, 1], [3539, 3530, 3535, 2073], [1181, 10, 595, 51], [6, 13, 3485, 3421], [1779, 3530, 1780, 3529], [1769, 0, 0, 3539], [3531, 10, 3530, 11], [61, 10, 305, 51], [1, 10, 0, 1]], 'adelic_image': '3540.48.1.?', 'conductor': 70800, 'lmfdb_label': '70800.cj2', 'prime': 0}
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id: 294987
{'conductor': 70800, 'elladic_image': '5.12.0.1', 'lmfdb_label': '70800.cj2', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 70800.cj does not appear in ec_padic