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Results (15 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
1305.a1 1305.a \( 3^{2} \cdot 5 \cdot 29 \) $1$ $\mathsf{trivial}$ $0.247133823$ $[0, 0, 1, 3, 2]$ \(y^2+y=x^3+3x+2\) 870.2.0.?
1305.b1 1305.b \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -2318, 42896]$ \(y^2+xy+y=x^3-x^2-2318x+42896\) 2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$
1305.b2 1305.b \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -293, -844]$ \(y^2+xy+y=x^3-x^2-293x-844\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.2, 116.12.0.?, $\ldots$
1305.b3 1305.b \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -248, -1438]$ \(y^2+xy+y=x^3-x^2-248x-1438\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$
1305.b4 1305.b \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 1012, -7108]$ \(y^2+xy+y=x^3-x^2+1012x-7108\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 116.12.0.?, $\ldots$
1305.c1 1305.c \( 3^{2} \cdot 5 \cdot 29 \) $1$ $\mathsf{trivial}$ $0.120034764$ $[0, 0, 1, 708, 29605]$ \(y^2+y=x^3+708x+29605\) 870.2.0.?
1305.d1 1305.d \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 1, -102, -405]$ \(y^2+y=x^3-102x-405\) 3.8.0-3.a.1.1, 870.16.0.?
1305.d2 1305.d \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/3\Z$ $1$ $[0, 0, 1, 438, -1728]$ \(y^2+y=x^3+438x-1728\) 3.8.0-3.a.1.2, 870.16.0.?
1305.e1 1305.e \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -62640, 6049971]$ \(y^2+xy=x^3-x^2-62640x+6049971\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.2, $\ldots$
1305.e2 1305.e \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 0, -3915, 95256]$ \(y^2+xy=x^3-x^2-3915x+95256\) 2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.2, 12.24.0-4.a.1.1, 24.48.0-24.j.1.4, $\ldots$
1305.e3 1305.e \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -3510, 115425]$ \(y^2+xy=x^3-x^2-3510x+115425\) 2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.4, 12.24.0-4.d.1.1, 24.48.0-24.z.1.2, $\ldots$
1305.e4 1305.e \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -270, 1215]$ \(y^2+xy=x^3-x^2-270x+1215\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.2, $\ldots$
1305.f1 1305.f \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -24, -37]$ \(y^2+xy=x^3-x^2-24x-37\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 290.6.0.?, 580.24.0.?, $\ldots$
1305.f2 1305.f \( 3^{2} \cdot 5 \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 21, -190]$ \(y^2+xy=x^3-x^2+21x-190\) 2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 580.12.0.?, 1160.24.0.?, $\ldots$
1305.g1 1305.g \( 3^{2} \cdot 5 \cdot 29 \) $1$ $\mathsf{trivial}$ $1.598114365$ $[0, 0, 1, 27, -61]$ \(y^2+y=x^3+27x-61\) 870.2.0.?
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