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ec_curvedata • Show schema
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{'Ciso': '193600ji', 'Clabel': '193600ji1', 'Cnumber': 1, 'abc_quality': 1.0570730436530982, 'absD': 2791309312000000000, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 660, 'ainvs': [0, -1, 0, -329633, -108368863], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 193600, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2394275611809177791534461504', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 215, 'isogeny_degrees': [1, 2], 'jinv': [-726572699, 512000], 'lmfdb_iso': '193600.ih', 'lmfdb_label': '193600.ih2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -206, -1781], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.c.1', '20.6.0.e.1', '30.36.0.d.1', '33.12.0.a.1', '44.6.0.b.1', '60.72.1.eu.1', '66.36.0.a.1', '110.6.0.?', '132.72.1.?', '220.12.0.?', '330.72.1.?', '660.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.435860547192779432457676122', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [5, 18, 7744], [11, 42, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20448598407564300828826759289', 'prec': 107}, 'szpiro_ratio': 4.150578701553633, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 2, 0, 0, 0, 6, -6, 0, 6, 0, 4, -2, 12, -12, -6, 6, 0, 0, -14, 0, -6, -12, -12, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 193600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '193600.ih', 'trace_hash': 2247171224638691369}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.011346395956393843657880939287', 'prec': 107}, 'conductor': 193600, 'gens': [[279745192, 4678866416125, 39]], 'heights': [{'__RealLiteral__': 0, 'data': '15.435860547192779432457676122', 'prec': 100}], 'lmfdb_label': '193600.ih2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.096619392549324410540136826088', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.931227756366789214564745396115200650', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[697, 0, 1]], 'xcoord_integral_points': [697]}
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lmfdb_label 193600.ih2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 8519085
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 2]}
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id: 8519087
{'degree': 4, 'field': [-4400, 0, 110, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [6]}
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id: 8519086
{'degree': 4, 'field': [-55, 0, 44, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [4]}
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id: 8519088
{'degree': 4, 'field': [3300, 0, -110, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [6]}
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id: 8519093
{'degree': 8, 'field': [10055, 4580, -3804, -1504, 633, 140, -42, -4, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 6]}
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id: 8519090
{'degree': 8, 'field': [23716, 0, 7260, 0, 693, 0, 0, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 4]}
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id: 8519089
{'degree': 8, 'field': [30976, 0, -2904, 0, 616, 0, -44, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 4]}
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id: 8519092
{'degree': 8, 'field': [60624, -3600, 4026, -912, 607, -184, 66, -4, 1], 'lmfdb_label': '193600.ih2', 'torsion': [2, 6]}
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id: 8519091
{'degree': 8, 'field': [10890000, 0, 363000, 0, 8800, 0, 110, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [3, 6]}
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id: 8519094
{'degree': 16, 'field': [-21095, -236380, -252950, -1608660, -2083654, -584672, 168570, 123392, 39842, 8588, 1430, -556, 90, -16, 6, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [8]}
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id: 8519096
{'degree': 16, 'field': [36602500, 0, 1325010500, 0, -138856575, 0, -12032240, 0, 427856, 0, 29524, 0, 396, 0, 44, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [12]}
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id: 8519097
{'degree': 16, 'field': [146410000, 0, -29282000, 0, -399300, 0, 1304380, 0, 84821, 0, -4840, 0, -517, 0, 0, 0, 1], 'lmfdb_label': '193600.ih2', 'torsion': [12]}
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id: 8519095
{'degree': 16, 'field': [518194711, 78774964, -270915884, -47779664, 64963115, 12218260, -9308946, -1780052, 883814, 160412, -58056, -8920, 2615, 284, -74, -4, 1], 'lmfdb_label': '193600.ih2', 'torsion': [6, 6]}
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ec_localdata • Show schema
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id: 4795540
{'conductor': 193600, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '193600.ih2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4795541
{'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '193600.ih2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 4795542
{'conductor': 193600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '193600.ih2', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2906742
{'adelic_gens': [[7, 12, 144, 247], [389, 498, 186, 71], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [5, 12, 612, 545], [1, 12, 0, 1], [552, 5, 127, 588], [3, 442, 22, 15], [10, 3, 501, 652]], 'adelic_image': '660.144.5.?', 'conductor': 193600, 'lmfdb_label': '193600.ih2', 'prime': 0}
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id: 721037
{'conductor': 193600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '193600.ih2', 'modell_image': '2B', 'prime': 2}
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id: 721038
{'conductor': 193600, 'elladic_image': '3.6.0.1', 'lmfdb_label': '193600.ih2', 'modell_image': '3Ns', 'prime': 3}
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lmfdb_iso 193600.ih does not appear in ec_padic