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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, 2, 0, -1, 1, -2, 1, 4, -1], 'aplist': [1, 1, -1, 0, 4, 2, -2, 4, -8, 6, 8, -2, -2, -12, 8, 6, -4, 2, 12, 8, 14, 0, -12, -2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 1470, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '1470.q', 'trace_hash': 227341795155588699}
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lmfdb_iso 1470.q does not appear in ec_padic
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ec_curvedata • Show schema
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id: 8016
{'Ciso': '1470p', 'Clabel': '1470p5', 'Cnumber': 5, 'abc_quality': 1.0369284989490737, 'absD': 370594350, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 0, 0, -823201, 287410955], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1470, 'degree': 12288, 'elladic_images': ['16.48.0.198'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7097125040017886060141034198', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '1470.q', 'lmfdb_label': '1470.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.4', '16.48.0-16.e.1.3', '28.12.0-4.c.1.1', '56.48.0-56.bh.1.6', '112.96.0.?', '120.48.0.?', '240.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704808', 'prec': 103}, 'szpiro_ratio': 7.195439864215484, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 8015
{'Ciso': '1470p', 'Clabel': '1470p4', 'Cnumber': 4, 'abc_quality': 1.0020619953336782, 'absD': 1167372202500, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, 0, 0, -51451, 4487405], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1470, 'degree': 6144, 'elladic_images': ['8.48.0.93'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3631389137218159513054873590', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [128031684631201, 9922500], 'lmfdb_iso': '1470.q', 'lmfdb_label': '1470.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1050, -13533], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.2.14', '28.24.0-4.b.1.1', '56.96.0-56.n.1.5', '120.96.0.?', '840.192.1.?'], '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': '0.39018383919415929875281098728', 'prec': 103}, 'szpiro_ratio': 6.054936614538012, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 8017
{'Ciso': '1470p', 'Clabel': '1470p6', 'Cnumber': 6, 'abc_quality': 1.0081875418390414, 'absD': 4221301267968750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 0, 0, -48021, 5112351], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1470, 'degree': 12288, 'elladic_images': ['8.48.0.216'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7097125040017886060141034198', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [-104094944089921, 35880468750], 'lmfdb_iso': '1470.q', 'lmfdb_label': '1470.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -980, -15325], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.4', '28.12.0-4.c.1.1', '56.96.0-56.bn.1.8', '240.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704808', 'prec': 103}, 'szpiro_ratio': 6.090626989780715, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 8014
{'Ciso': '1470p', 'Clabel': '1470p3', 'Cnumber': 3, 'abc_quality': 0.9866121641692004, 'absD': 40693384370940, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 0, 0, -18131, -889659], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1470, 'degree': 6144, 'elladic_images': ['16.48.0.123'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3631389137218159513054873590', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5602762882081, 345888060], 'lmfdb_iso': '1470.q', 'lmfdb_label': '1470.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -370, 2435], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0-8.bb.2.6', '28.12.0-4.c.1.2', '56.48.0-8.bb.2.6', '60.12.0.h.1', '112.96.0.?', '120.48.0.?', '240.96.0.?', '420.24.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098728', 'prec': 103}, 'szpiro_ratio': 5.625893650570742, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 8013
{'Ciso': '1470p', 'Clabel': '1470p2', 'Cnumber': 2, 'abc_quality': 0.9591619974980434, 'absD': 1016910896400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [1, 0, 0, -3431, 59961], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1470, 'degree': 3072, 'elladic_images': ['8.48.0.81'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0165653234418432965968712983', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [37966934881, 8643600], 'lmfdb_iso': '1470.q', 'lmfdb_label': '1470.q5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70, -205], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.1.4', '28.24.0-4.b.1.3', '56.96.0-56.r.1.4', '60.24.0.c.1', '120.96.0.?', '420.48.0.?', '840.192.1.?'], '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': '0.043610248914186644044194926578', 'prec': 107}, 'szpiro_ratio': 4.941088032386328, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 8012
{'Ciso': '1470p', 'Clabel': '1470p1', 'Cnumber': 1, 'abc_quality': 0.9283517895086211, 'absD': 22136835840, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 0, 0, 489, 5865], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1470, 'degree': 1536, 'elladic_images': ['16.48.0.94'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66999173316187064188825523758', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [109902239, 188160], 'lmfdb_iso': '1470.q', 'lmfdb_label': '1470.q6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -13], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.n.1.1', '16.48.0-16.e.2.2', '28.12.0-4.c.1.2', '30.6.0.a.1', '56.48.0-56.bv.1.4', '60.12.0.g.1', '112.96.0.?', '120.48.0.?', '240.96.0.?', '420.24.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30296334136578601066442113414', 'prec': 107}, 'szpiro_ratio': 4.23181710503857, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}