## Results (1-50 of 2908 matches)

Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Equation
1008.a.27216.1 1008.a $$2^{4} \cdot 3^{2} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/8\Z$ $$\Q \times \Q$$ $y^2 + (x^3 + x)y = -4x^4 + 15x^2 - 21$
1012.a.4048.1 1012.a $$2^{2} \cdot 11 \cdot 23$$ $0$ $\Z/15\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^4 + x^3 + x^2 + x$
1038.a.1038.2 1038.a $$2 \cdot 3 \cdot 173$$ $0$ $\Z/6\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^4 + 2x^2 + x + 1$
1038.a.1038.1 1038.a $$2 \cdot 3 \cdot 173$$ $0$ $\Z/6\Z$ $$\Q$$ $y^2 + (x^2 + x)y = x^5 - 12x^4 + 26x^3 + 46x^2 + 21x + 3$
1042.a.1042.1 1042.a $$2 \cdot 521$$ $0$ $\Z/9\Z$ $$\Q$$ $y^2 + (x^3 + x)y = -x^4 - x^3 - x^2 + 2x + 2$
1047.a.3141.1 1047.a $$3 \cdot 349$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x^3 + x)y = x$
1050.a.131250.1 1050.a $$2 \cdot 3 \cdot 5^{2} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/4\Z$ $$\Q \times \Q$$ $y^2 + (x^2 + x)y = 3x^6 + 8x^5 + 15x^4 + 17x^3 + 15x^2 + 8x + 3$
1051.a.1051.1 1051.a $$1051$$ $1$ $\mathsf{trivial}$ $$\Q$$ $y^2 + y = x^5 - x^4 + x^2 - x$
1051.b.1051.1 1051.b $$1051$$ $0$ $\Z/8\Z$ $$\Q$$ $y^2 + (x + 1)y = -x^5 - x^4$
1051.b.1051.2 1051.b $$1051$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$\Q$$ $y^2 + xy = x^5 + 8x^4 + 16x^3 + x$
1055.a.1055.1 1055.a $$5 \cdot 211$$ $0$ $\Z/6\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = -x^4 + x^2 - x - 1$
1062.a.6372.1 1062.a $$2 \cdot 3^{2} \cdot 59$$ $1$ $\Z/2\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^5 - x^4 + x^2 - x$
1069.a.1069.1 1069.a $$1069$$ $0$ $\Z/7\Z$ $$\Q$$ $y^2 + (x^2 + x + 1)y = x^5 + x^3$
1070.a.2140.1 1070.a $$2 \cdot 5 \cdot 107$$ $1$ $\Z/4\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^3 - x$
1077.a.1077.2 1077.a $$3 \cdot 359$$ $1$ $\Z/2\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^4 + x^3 + 2x^2 + x$
1077.a.1077.1 1077.a $$3 \cdot 359$$ $1$ $\Z/2\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = 5x^5 + 34x^4 + 80x^3 - x^2 - 90x + 32$
1077.b.1077.1 1077.b $$3 \cdot 359$$ $0$ $\Z/5\Z$ $$\Q$$ $y^2 + x^3y = x^5 + x^4 - x - 2$
1077.b.1077.2 1077.b $$3 \cdot 359$$ $0$ $\mathsf{trivial}$ $$\Q$$ $y^2 + y = x^5 + 14x^4 + 38x^3 - 79x^2 + 15x - 1$
1083.a.1083.1 1083.a $$3 \cdot 19^{2}$$ $1$ $\Z/3\Z$ $$\Q \times \Q$$ $y^2 + (x^3 + x^2 + x + 1)y = -x^3$
1083.a.20577.1 1083.a $$3 \cdot 19^{2}$$ $1$ $\Z/3\Z$ $$\Q \times \Q$$ $y^2 + x^3y = x^5 - 5x^4 + 11x^3 - 13x^2 + 9x - 3$
1083.b.87723.1 1083.b $$3 \cdot 19^{2}$$ $0$ $\Z/15\Z$ $$\Q \times \Q$$ $y^2 + y = -x^6 - 3x^5 - 8x^4 - 11x^3 - 14x^2 - 9x - 6$
1083.b.390963.1 1083.b $$3 \cdot 19^{2}$$ $0$ $\mathsf{trivial}$ $$\Q \times \Q$$ $y^2 + y = -x^6 + 3x^5 - 50x^4 + 95x^3 - 14x^2 - 33x - 6$
1088.a.1088.1 1088.a $$2^{6} \cdot 17$$ $0$ $\Z/6\Z$ $$\Q \times \Q$$ $y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + 2x^2 + x + 1$
1088.b.2176.1 1088.b $$2^{6} \cdot 17$$ $0$ $\Z/6\Z$ $$\mathsf{CM} \times \Q$$ $y^2 + (x^3 + x)y = 4x^4 + 24x^2 + 34$
1088.b.2176.2 1088.b $$2^{6} \cdot 17$$ $0$ $\Z/12\Z$ $$\mathsf{CM} \times \Q$$ $y^2 + (x^3 + x)y = -5x^4 + 24x^2 - 34$
1091.a.1091.1 1091.a $$1091$$ $1$ $\Z/7\Z$ $$\Q$$ $y^2 + (x^2 + x + 1)y = x^5 - 2x^3 - x^2$
1094.a.2188.1 1094.a $$2 \cdot 547$$ $1$ $\mathsf{trivial}$ $$\Q$$ $y^2 + (x^3 + 1)y = x^4 - x^2$
1104.a.17664.1 1104.a $$2^{4} \cdot 3 \cdot 23$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 = x^5 - 2x^4 + 4x^3 - 4x^2 + 3x - 1$
1104.b.141312.1 1104.b $$2^{4} \cdot 3 \cdot 23$$ $0$ $\Z/2\Z$ $$\Q \times \Q$$ $y^2 + (x^3 + x)y = -x^6 - 3x^4 + 29x^2 - 46$
1109.a.1109.1 1109.a $$1109$$ $0$ $\mathsf{trivial}$ $$\Q$$ $y^2 + y = x^5 - 6x^4 - 36x^3 - 6x^2 + 63x - 36$
1109.b.1109.1 1109.b $$1109$$ $0$ $\Z/7\Z$ $$\Q$$ $y^2 + y = x^5 - x^4 - x^3 + x^2 + x$
1109.c.1109.1 1109.c $$1109$$ $0$ $\Z/5\Z$ $$\Q$$ $y^2 + (x^3 + x)y = x^5 - 2x^3 - 2x^2 - 1$
1116.a.214272.1 1116.a $$2^{2} \cdot 3^{2} \cdot 31$$ $0$ $\Z/39\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^4 + 2x^3 + x^2 - x$
1122.a.1122.1 1122.a $$2 \cdot 3 \cdot 11 \cdot 17$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$\Q \times \Q$$ $y^2 + (x^2 + x)y = x^5 + 7x^4 - 43x^2 + 51x - 17$
1122.b.2244.1 1122.b $$2 \cdot 3 \cdot 11 \cdot 17$$ $0$ $\Z/2\Z\oplus\Z/6\Z$ $$\Q$$ $y^2 + (x^2 + x)y = x^5 + 7x^4 + 5x^3 - x^2 - x$
1123.a.1123.1 1123.a $$1123$$ $0$ $\Z/8\Z$ $$\Q$$ $y^2 + (x^3 + x)y = -x^4 - x^2 - x$
1125.a.151875.1 1125.a $$3^{2} \cdot 5^{3}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$\Q \times \Q$$ $y^2 + xy = 15x^5 + 50x^4 + 55x^3 + 22x^2 + 3x$
1127.a.1127.1 1127.a $$7^{2} \cdot 23$$ $1$ $\mathsf{trivial}$ $$\Q$$ $y^2 + (x^3 + x + 1)y = -x^4 + x^3 - x^2 - x$
1136.a.9088.1 1136.a $$2^{4} \cdot 71$$ $0$ $\Z/14\Z$ $$\Q$$ $y^2 + (x^3 + x)y = x^4 - x^3 + 2x^2 - x + 1$
1136.a.290816.1 1136.a $$2^{4} \cdot 71$$ $0$ $\Z/14\Z$ $$\Q$$ $y^2 + (x^3 + x^2)y = -5x^4 - 9x^3 + 25x^2 + 40x - 24$
1137.a.1137.1 1137.a $$3 \cdot 379$$ $0$ $\Z/6\Z$ $$\Q$$ $y^2 + (x^2 + x + 1)y = x^5 + x^4 + x^3$
1142.a.2284.1 1142.a $$2 \cdot 571$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x^3 + x^2)y = -x^4 - x^3 + x^2 - x - 2$
1142.b.9136.1 1142.b $$2 \cdot 571$$ $0$ $\Z/12\Z$ $$\Q$$ $y^2 + (x + 1)y = -x^5 + 3x^4 - 6x^2 + x + 3$
1145.a.1145.1 1145.a $$5 \cdot 229$$ $1$ $\Z/2\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = -3x^4 + 3x^3 - x$
1145.a.143125.1 1145.a $$5 \cdot 229$$ $1$ $\Z/2\Z$ $$\Q$$ $y^2 + (x^3 + x^2 + x)y = 2x^4 + 4x^3 + 9x^2 + 10x + 9$
1146.a.2292.1 1146.a $$2 \cdot 3 \cdot 191$$ $0$ $\Z/6\Z$ $$\Q$$ $y^2 + xy = x^5 + 3x^4 + 5x^3 + 4x^2 + 2x$
1147.a.35557.1 1147.a $$31 \cdot 37$$ $0$ $\Z/2\Z\oplus\Z/4\Z$ $$\Q$$ $y^2 + xy = x^5 + 8x^4 + 18x^3 + 8x^2 + x$
1147.a.35557.2 1147.a $$31 \cdot 37$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ $$\Q$$ $y^2 + xy = x^5 + 6x^4 - 32x^2 + x$
1148.a.8036.1 1148.a $$2^{2} \cdot 7 \cdot 41$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x^3 + 1)y = x^5 - x^4 - 6x^3 + x^2 + 5x - 1$
1148.a.47068.1 1148.a $$2^{2} \cdot 7 \cdot 41$$ $0$ $\Z/10\Z$ $$\Q$$ $y^2 + (x^2 + x + 1)y = x^5 + 2x^4 - 5x^3 + x$