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Results (displaying matches 1-50 of 74) Next

Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
71.1.b.a \(3\) \(0.035\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-71}) \) None \(-1\) \(-1\) \(-1\) \(0\) \(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
71.2.a.a \(3\) \(0.567\) 3.3.257.1 None None \(-1\) \(1\) \(5\) \(2\) \(-\) \(q-\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
71.2.a.b \(3\) \(0.567\) 3.3.257.1 None None \(0\) \(-1\) \(-3\) \(2\) \(-\) \(q+\beta _{2}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
71.2.c.a \(20\) \(0.567\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(-6\) \(-1\) \(-1\) \(-1\) \(q-\beta _{14}q^{2}+\beta _{17}q^{3}+(-\beta _{2}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
71.2.d.a \(30\) \(0.567\) None None \(-3\) \(-10\) \(-10\) \(-3\)
71.2.g.a \(120\) \(0.567\) None None \(-22\) \(-20\) \(-20\) \(-27\)
71.3.b.a \(4\) \(1.935\) 4.0.2836736.1 None None \(-4\) \(-4\) \(-8\) \(0\) \(q+(-1-\beta _{1})q^{2}+(-1+\beta _{1})q^{3}+(-1+\cdots)q^{4}+\cdots\)
71.3.b.b \(7\) \(1.935\) 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{2}-\beta _{6}q^{3}+(4+2\beta _{3}+\beta _{4})q^{4}+\cdots\)
71.3.e.a \(44\) \(1.935\) None None \(-6\) \(-1\) \(3\) \(-5\)
71.3.f.a \(66\) \(1.935\) None None \(-3\) \(-10\) \(-6\) \(-7\)
71.3.h.a \(264\) \(1.935\) None None \(-22\) \(-20\) \(-24\) \(-23\)
71.4.a.a \(1\) \(4.189\) \(\Q\) None None \(1\) \(1\) \(-16\) \(-1\) \(-\) \(q+q^{2}+q^{3}-7q^{4}-2^{4}q^{5}+q^{6}-q^{7}+\cdots\)
71.4.a.b \(4\) \(4.189\) 4.4.135041.1 None None \(-3\) \(-6\) \(-9\) \(-35\) \(-\) \(q+(-1-\beta _{2})q^{2}+(-1+\beta _{1}+\beta _{2}-\beta _{3})q^{3}+\cdots\)
71.4.a.c \(12\) \(4.189\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(2\) \(7\) \(15\) \(48\) \(+\) \(q+\beta _{1}q^{2}+(1+\beta _{5})q^{3}+(4+\beta _{1}+\beta _{7}+\cdots)q^{4}+\cdots\)
71.4.c.a \(68\) \(4.189\) None None \(0\) \(-7\) \(5\) \(-17\)
71.4.d.a \(102\) \(4.189\) None None \(-7\) \(5\) \(-4\) \(-19\)
71.4.g.a \(408\) \(4.189\) None None \(-28\) \(-35\) \(-26\) \(-11\)
71.5.b.a \(7\) \(7.339\) 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(2\beta _{3}+\beta _{4})q^{2}+(-4\beta _{2}+\beta _{5})q^{3}+\cdots\)
71.5.b.b \(16\) \(7.339\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(4\) \(8\) \(4\) \(0\) \(q-\beta _{2}q^{2}+(1+\beta _{4})q^{3}+(4-\beta _{2}+\beta _{6}+\cdots)q^{4}+\cdots\)
71.5.e.a \(92\) \(7.339\) None None \(6\) \(-13\) \(-9\) \(-5\)
71.5.f.a \(138\) \(7.339\) None None \(-11\) \(20\) \(-18\) \(-7\)
71.5.h.a \(552\) \(7.339\) None None \(-34\) \(-50\) \(-12\) \(-23\)
71.6.a.a \(11\) \(11.387\) \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None None \(-4\) \(-20\) \(-72\) \(-344\) \(+\) \(q-\beta _{1}q^{2}+(-2+\beta _{1}+\beta _{3})q^{3}+(11+\cdots)q^{4}+\cdots\)
71.6.a.b \(18\) \(11.387\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(4\) \(16\) \(128\) \(244\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(19+\beta _{2})q^{4}+\cdots\)
71.6.c.a \(116\) \(11.387\) None None \(0\) \(-1\) \(-61\) \(95\)
71.6.d.a \(174\) \(11.387\) None None \(-7\) \(-10\) \(-70\) \(93\)
71.6.g.a \(696\) \(11.387\) None None \(-28\) \(-20\) \(40\) \(-123\)
71.7.b.a \(7\) \(16.334\) 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(5\beta _{1}+\beta _{6})q^{2}+(15\beta _{3}-2\beta _{4})q^{3}+\cdots\)
71.7.b.b \(28\) \(16.334\) None None \(-12\) \(-34\) \(142\) \(0\)
71.7.e.a \(140\) \(16.334\) None None \(-18\) \(29\) \(-147\) \(-5\)
71.7.f.a \(210\) \(16.334\) None None \(5\) \(-85\) \(-156\) \(-7\)
71.7.h.a \(840\) \(16.334\) None None \(-10\) \(55\) \(126\) \(-23\)
71.8.a.a \(17\) \(22.179\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None None \(-16\) \(-68\) \(-430\) \(-1716\) \(-\) \(q+(-1+\beta _{1})q^{2}+(-4+\beta _{4})q^{3}+(54+\cdots)q^{4}+\cdots\)
71.8.a.b \(24\) \(22.179\) None None \(0\) \(40\) \(570\) \(2400\) \(+\)
71.8.c.a \(164\) \(22.179\) None None \(-24\) \(23\) \(-145\) \(-689\)
71.8.d.a \(246\) \(22.179\) None None \(9\) \(-70\) \(-154\) \(-691\)
71.8.g.a \(984\) \(22.179\) None None \(-4\) \(40\) \(124\) \(661\)
71.9.b.a \(7\) \(28.924\) 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-4\beta _{3}+\beta _{6})q^{2}+(2^{4}\beta _{2}-5\beta _{4})q^{3}+\cdots\)
71.9.b.b \(40\) \(28.924\) None None \(4\) \(68\) \(-296\) \(0\)
71.9.e.a \(188\) \(28.924\) None None \(6\) \(-73\) \(291\) \(-5\)
71.9.f.a \(282\) \(28.924\) None None \(-11\) \(170\) \(282\) \(-7\)
71.9.h.a \(1128\) \(28.924\) None None \(-34\) \(-200\) \(-312\) \(-23\)
71.10.a.a \(23\) \(36.568\) None None \(0\) \(-89\) \(-3297\) \(-16808\) \(+\)
71.10.a.b \(30\) \(36.568\) None None \(32\) \(235\) \(1703\) \(12004\) \(-\)
71.10.c.a \(212\) \(36.568\) None None \(48\) \(-151\) \(1589\) \(4799\)
71.10.d.a \(318\) \(36.568\) None None \(-39\) \(365\) \(1580\) \(4797\)
71.10.g.a \(1272\) \(36.568\) None None \(-76\) \(-395\) \(-1610\) \(-4827\)
71.11.b.a \(7\) \(45.110\) 7.7.\(\cdots\).1 \(\Q(\sqrt{-71}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(5\beta _{3}+13\beta _{4})q^{2}+(-76\beta _{2}+65\beta _{5}+\cdots)q^{3}+\cdots\)
71.11.b.b \(52\) \(45.110\) None None \(20\) \(-64\) \(-3308\) \(0\)
71.11.e.a \(236\) \(45.110\) None None \(30\) \(59\) \(3303\) \(-5\)
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