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ec_curvedata • Show schema
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{'Ciso': '363090dz', 'Clabel': '363090dz3', 'Cnumber': 3, 'abc_quality': 0.9630209052326926, 'absD': 539289873539895274483050, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, 0, 1, -24952688, -32457296644], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 363090, 'degree': 56623104, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2578758132027790186636114720', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 103, 'isogeny_degrees': [1, 2, 4], 'jinv': [14604525660045693247849, 4583888290932309450], 'lmfdb_iso': '363090.dz', 'lmfdb_label': '363090.dz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -509238, 94409442], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.2', '104.12.0.?', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5386802792366049972304922329', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2849207386751223661109351003', 'prec': 100}, 'szpiro_ratio': 4.898382321593812, '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, 1, -1, 0, -1, 1, -1, 4, 1, 1, 0, 1, 1, -2, -1, -1, 1], 'aplist': [-1, 1, 1, 0, 4, 1, -2, -1, 4, -6, 0, 2, -2, -4, -8, 2, 0, 6, 0, 0, -14, 0, 16, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 363090, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '363090.dz', 'trace_hash': 283037380328230991}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0014799431169979836393081108386', 'prec': 110}, 'conductor': 363090, 'gens': [[12690, 1295377, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5386802792366049972304922329', 'prec': 100}], 'lmfdb_label': '363090.dz1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.069214556250528253151384042905', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2005751457819246948445532686942294022', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[22199, -22203, 2]], 'xcoord_integral_points': [12690]}
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lmfdb_label 363090.dz1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15096683
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [2, 2]}
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id: 15096685
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [4]}
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id: 15096684
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [4]}
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id: 15096686
{'degree': 4, 'field': [49, 0, -28, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [2, 4]}
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id: 15096690
{'degree': 8, 'field': [-941330, 102245, -105560, 6629, -3311, -7, 7, -4, 1], 'lmfdb_label': '363090.dz1', 'torsion': [6]}
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id: 15096689
{'degree': 8, 'field': [900, 0, 144, 0, 46, 0, -16, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [8]}
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id: 15096688
{'degree': 8, 'field': [3207961, -522440, -824213, 21382, 33004, 172, -341, -2, 1], 'lmfdb_label': '363090.dz1', 'torsion': [8]}
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id: 15096687
{'degree': 8, 'field': [17640000, 0, 0, 0, 4200, 0, 0, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [2, 4]}
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id: 15096693
{'degree': 16, 'field': [1946025, 0, -1315872, 0, 377208, 0, -77160, 0, 54262, 0, -9344, 0, 1080, 0, -56, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [2, 8]}
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id: 15096692
{'degree': 16, 'field': [29855296, 0, -401800576, 0, 524025568, 0, -160133824, 0, 18471508, 0, -974248, 0, 24352, 0, -268, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [2, 8]}
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id: 15096694
{'degree': 16, 'field': [1008189504, 0, -6847287048, 0, 684461988, 0, -178456824, 0, 11139660, 0, -294084, 0, -248, 0, 52, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [2, 6]}
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id: 15096696
{'degree': 16, 'field': [49593508416, 0, -24830309592, 0, 4901323716, 0, -390986264, 0, 9575756, 0, 74044, 0, -3944, 0, -28, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [12]}
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id: 15096691
{'degree': 16, 'field': [1213194305401, 0, 13926746396, 0, 4778308510, 0, 22133984, 0, 6499519, 0, 4184, 0, 4210, 0, -4, 0, 1], 'lmfdb_label': '363090.dz1', 'torsion': [4, 4]}
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id: 15096695
{'degree': 16, 'field': [1613133219958, -231032374502, 245049477693, -28437893764, 15230190374, -1218910224, 414570835, -5540912, -592101, 1389184, -349097, 39228, -6811, 98, 6, -8, 1], 'lmfdb_label': '363090.dz1', 'torsion': [12]}
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ec_localdata • Show schema
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id: 8982178
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '363090.dz1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 8982179
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '363090.dz1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 8982180
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '363090.dz1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 8982181
{'conductor': 363090, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '363090.dz1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8982182
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '363090.dz1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 8982183
{'conductor': 363090, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '363090.dz1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3925551
{'adelic_gens': [[7, 6, 2178, 2179], [1556, 2183, 1849, 2178], [2177, 8, 2176, 9], [1, 0, 8, 1], [1460, 1, 751, 6], [2017, 8, 1516, 33], [1912, 827, 1369, 1398], [1915, 1912, 842, 1917], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '2184.48.0.?', 'conductor': 363090, 'lmfdb_label': '363090.dz1', 'prime': 0}
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id: 1249636
{'conductor': 363090, 'elladic_image': '4.6.0.1', 'lmfdb_label': '363090.dz1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 363090.dz does not appear in ec_padic