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ec_curvedata • Show schema
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{'Ciso': '79350q', 'Clabel': '79350q1', 'Cnumber': 1, 'abc_quality': 0.9203340042933927, 'absD': 1478290500, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2760, 'ainvs': [1, 1, 0, -505, -4175], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 79350, 'degree': 53760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.49481344560508032118335769031', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [9393931, 972], 'lmfdb_iso': '79350.l', 'lmfdb_label': '79350.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -505, -4175], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '690.6.0.?', '920.6.0.?', '2760.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9802989777440303101183946271', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.69141958648573219516852035095', 'prec': 107}, 'szpiro_ratio': 2.6849300704677628, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, 0, -1, 1, 0, -4, -1, 2, 0, 0, 1, 6, -1, 4, 0], 'aplist': [-1, -1, 0, 0, -4, 2, 6, 4, 0, -8, 8, -2, 10, -8, 12, 0, -6, 10, -4, -8, -4, 2, 6, 18, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 79350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '79350.l', 'trace_hash': 1211693482712127343}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.37171535541840937493178879649', 'prec': 103}, 'conductor': 79350, 'gens': [[-15, 25, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9802989777440303101183946271', 'prec': 100}], 'lmfdb_label': '79350.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0135783344608075806395580939', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0143762791924682021050449502038220467', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-10, 5, 1]], 'xcoord_integral_points': [-15, -10, 36]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [3, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '79350.l1'}
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ec_torsion_growth • Show schema
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id: 3742262
{'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '79350.l1', 'torsion': [2, 2]}
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id: 3742263
{'degree': 4, 'field': [1761, -58, 59, -2, 1], 'lmfdb_label': '79350.l1', 'torsion': [4]}
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id: 3742266
{'degree': 8, 'field': [-469214, -51403, -42899, -20179, -3551, -517, -101, -1, 1], 'lmfdb_label': '79350.l1', 'torsion': [6]}
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id: 3742265
{'degree': 8, 'field': [2401, -12152, -23779, -12566, -1376, -58, -91, -4, 1], 'lmfdb_label': '79350.l1', 'torsion': [2, 4]}
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id: 3742264
{'degree': 8, 'field': [2094945, -115380, 123190, -15760, 8231, -424, 146, -4, 1], 'lmfdb_label': '79350.l1', 'torsion': [2, 4]}
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id: 3742268
{'degree': 16, 'field': [-3474584, 27154732, -34788792, -124952808, 161516556, 36829440, -162588368, 101801095, -35905218, 8981700, -1583553, 201450, -19744, 1193, -42, -2, 1], 'lmfdb_label': '79350.l1', 'torsion': [2, 6]}
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id: 3742267
{'degree': 16, 'field': [31608316476, 6284706336, -5494819344, -1544348496, 684409438, 103101936, -30735896, -2994608, 612723, 73056, 2056, -7968, 418, 392, -36, -8, 1], 'lmfdb_label': '79350.l1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1932021
{'conductor': 79350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '79350.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1932022
{'conductor': 79350, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '79350.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 1932023
{'conductor': 79350, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '79350.l1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 1932024
{'conductor': 79350, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '79350.l1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2187963
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [1381, 4, 2, 9], [2044, 1, 1559, 0], [2757, 4, 2756, 5], [1108, 1, 1103, 0], [2417, 346, 344, 2415], [1, 0, 4, 1], [922, 1, 919, 0], [3, 4, 8, 11]], 'adelic_image': '2760.12.0.?', 'conductor': 79350, 'lmfdb_label': '79350.l1', 'prime': 0}
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id: 326855
{'conductor': 79350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '79350.l1', 'modell_image': '2B', 'prime': 2}
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ec_padic • Show schema
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id: 4089590
{'lmfdb_iso': '79350.l', 'p': 11, 'prec': 20, 'unit': 34255834167259713293, 'val': 1}
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id: 4089596
{'lmfdb_iso': '79350.l', 'p': 13, 'prec': 20, 'unit': 343397115090430846135, 'val': 1}
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id: 4089598
{'lmfdb_iso': '79350.l', 'p': 17, 'prec': 20, 'unit': 132487645226560838681888, 'val': 1}
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id: 4089599
{'lmfdb_iso': '79350.l', 'p': 19, 'prec': 20, 'unit': 258829733686911424215915, 'val': 1}
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id: 4089595
{'lmfdb_iso': '79350.l', 'p': 29, 'prec': 20, 'unit': 5625326543665749169920726462, 'val': 1}
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id: 4089606
{'lmfdb_iso': '79350.l', 'p': 31, 'prec': 20, 'unit': 5200963548635996832155193865, 'val': 1}
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id: 4089591
{'lmfdb_iso': '79350.l', 'p': 37, 'prec': 20, 'unit': 451916182367010288528460504113, 'val': 1}
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id: 4089593
{'lmfdb_iso': '79350.l', 'p': 41, 'prec': 20, 'unit': 4207107338792163113448680230843, 'val': 1}
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id: 4089594
{'lmfdb_iso': '79350.l', 'p': 43, 'prec': 20, 'unit': 5345059469064333811234055818586, 'val': 1}
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id: 4089604
{'lmfdb_iso': '79350.l', 'p': 47, 'prec': 20, 'unit': 49265039412571850471248181383385, 'val': 1}
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id: 4089600
{'lmfdb_iso': '79350.l', 'p': 59, 'prec': 20, 'unit': 655417227178521867074180094362670, 'val': 1}
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id: 4089605
{'lmfdb_iso': '79350.l', 'p': 61, 'prec': 20, 'unit': 3076954392306721691078682629055003, 'val': 1}
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id: 4089589
{'lmfdb_iso': '79350.l', 'p': 67, 'prec': 20, 'unit': 48567858110493907774675018339053491, 'val': 1}
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id: 4089592
{'lmfdb_iso': '79350.l', 'p': 71, 'prec': 20, 'unit': 92142068910110148738434969298345721, 'val': 1}
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id: 4089601
{'lmfdb_iso': '79350.l', 'p': 73, 'prec': 20, 'unit': 57952123976430699627240163274109011, 'val': 1}
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id: 4089597
{'lmfdb_iso': '79350.l', 'p': 79, 'prec': 20, 'unit': 682494478442165034342427221724084566, 'val': 1}
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id: 4089602
{'lmfdb_iso': '79350.l', 'p': 83, 'prec': 20, 'unit': 1152221141872593054379477163395812465, 'val': 1}
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id: 4089603
{'lmfdb_iso': '79350.l', 'p': 89, 'prec': 20, 'unit': 6317286598422505102552765614233771096, 'val': 1}
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id: 4089588
{'lmfdb_iso': '79350.l', 'p': 97, 'prec': 20, 'unit': 9110655700041115199156852001312096962, 'val': 1}