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Results (34 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
123981.a1 123981.a \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $0.315636584$ $[0, -1, 1, 6, 434]$ \(y^2+y=x^3-x^2+6x+434\) 374.2.0.?
123981.b1 123981.b \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, 1638, 2143478]$ \(y^2+y=x^3+x^2+1638x+2143478\) 374.2.0.?
123981.c1 123981.c \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.355027185$ $[1, 1, 1, -2607, 49422]$ \(y^2+xy+y=x^3+x^2-2607x+49422\) 156.2.0.?
123981.d1 123981.d \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $4.281765961$ $[1, 1, 1, -12150144, -16300695018]$ \(y^2+xy+y=x^3+x^2-12150144x-16300695018\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 204.24.0.?, $\ldots$
123981.d2 123981.d \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $17.12706384$ $[1, 1, 1, -6453954, 6187769466]$ \(y^2+xy+y=x^3+x^2-6453954x+6187769466\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 136.12.0.?, 204.12.0.?, $\ldots$
123981.d3 123981.d \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $8.563531922$ $[1, 1, 1, -874809, -172455834]$ \(y^2+xy+y=x^3+x^2-874809x-172455834\) 2.6.0.a.1, 12.12.0.a.1, 68.12.0-2.a.1.1, 204.24.0.?, 572.12.0.?, $\ldots$
123981.d4 123981.d \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $17.12706384$ $[1, 1, 1, 178596, -19501428]$ \(y^2+xy+y=x^3+x^2+178596x-19501428\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 68.12.0-4.c.1.2, 286.6.0.?, $\ldots$
123981.e1 123981.e \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.675824042$ $[1, 1, 1, -1983702, 1074555468]$ \(y^2+xy+y=x^3+x^2-1983702x+1074555468\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.g.1, 68.12.0-4.c.1.2, $\ldots$
123981.e2 123981.e \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.337912021$ $[1, 1, 1, -869607, -302606406]$ \(y^2+xy+y=x^3+x^2-869607x-302606406\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 24.24.0.bl.1, $\ldots$
123981.e3 123981.e \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.668956010$ $[1, 1, 1, -136992, 13004136]$ \(y^2+xy+y=x^3+x^2-136992x+13004136\) 2.6.0.a.1, 4.12.0.b.1, 12.24.0.c.1, 68.24.0-4.b.1.1, 88.24.0.?, $\ldots$
123981.e4 123981.e \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.337912021$ $[1, 1, 1, -123987, 16749576]$ \(y^2+xy+y=x^3+x^2-123987x+16749576\) 2.6.0.a.1, 4.12.0.b.1, 24.24.0.m.1, 68.24.0-4.b.1.3, 88.24.0.?, $\ldots$
123981.e5 123981.e \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.675824042$ $[1, 1, 1, -6942, 316458]$ \(y^2+xy+y=x^3+x^2-6942x+316458\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.g.1, 68.12.0-4.c.1.2, $\ldots$
123981.e6 123981.e \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.337912021$ $[1, 1, 1, 387543, 89166618]$ \(y^2+xy+y=x^3+x^2+387543x+89166618\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0.n.1, 12.12.0.g.1, $\ldots$
123981.f1 123981.f \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $12.69691549$ $[1, 1, 1, 76868, -7775542]$ \(y^2+xy+y=x^3+x^2+76868x-7775542\) 29172.2.0.?
123981.g1 123981.g \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.175532011$ $[1, 0, 0, 266, -1567]$ \(y^2+xy=x^3+266x-1567\) 29172.2.0.?
123981.h1 123981.h \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.790098448$ $[1, 0, 0, -3763, 66518]$ \(y^2+xy=x^3-3763x+66518\) 2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.?
123981.h2 123981.h \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $5.580196897$ $[1, 0, 0, 572, 6695]$ \(y^2+xy=x^3+572x+6695\) 2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.?
123981.i1 123981.i \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $19.63817762$ $[1, 0, 0, -121074137723, 3461624044982616]$ \(y^2+xy=x^3-121074137723x+3461624044982616\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
123981.i2 123981.i \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\Z/2\Z$ $9.819088811$ $[1, 0, 0, 471865244762, 27359097153028565]$ \(y^2+xy=x^3+471865244762x+27359097153028565\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
123981.j1 123981.j \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -753429, 248085162]$ \(y^2+xy=x^3-753429x+248085162\) 156.2.0.?
123981.k1 123981.k \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $1.449830825$ $[0, -1, 1, 6551, 1543728]$ \(y^2+y=x^3-x^2+6551x+1543728\) 22.2.0.a.1
123981.l1 123981.l \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $0.725785082$ $[0, 1, 1, 23, 322]$ \(y^2+y=x^3+x^2+23x+322\) 22.2.0.a.1
123981.m1 123981.m \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -6474, -160719]$ \(y^2+xy=x^3+x^2-6474x-160719\) 156.2.0.?
123981.n1 123981.n \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -46235526, -121026635145]$ \(y^2+xy=x^3+x^2-46235526x-121026635145\) 2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.?
123981.n2 123981.n \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -46210961, -121161629646]$ \(y^2+xy=x^3+x^2-46210961x-121161629646\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
123981.o1 123981.o \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $4.338316465$ $[1, 1, 0, -785363, -248769246]$ \(y^2+xy=x^3+x^2-785363x-248769246\) 156.2.0.?
123981.p1 123981.p \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -31941, -2179229]$ \(y^2+xy+y=x^3-31941x-2179229\) 2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.?
123981.p2 123981.p \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -7376, -5441461]$ \(y^2+xy+y=x^3-7376x-5441461\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
123981.q1 123981.q \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -2718, -50795]$ \(y^2+xy+y=x^3-2718x-50795\) 156.2.0.?
123981.r1 123981.r \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -159985, -24643369]$ \(y^2+xy+y=x^3-159985x-24643369\) 2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.?
123981.r2 123981.r \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -159900, -24670841]$ \(y^2+xy+y=x^3-159900x-24670841\) 2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.?
123981.s1 123981.s \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $17.69393579$ $[1, 0, 1, -1871137, -776514847]$ \(y^2+xy+y=x^3-1871137x-776514847\) 156.2.0.?
123981.t1 123981.t \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, 473286, -15872857]$ \(y^2+y=x^3-x^2+473286x-15872857\) 22.2.0.a.1
123981.u1 123981.u \( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $1.003258976$ $[0, 1, 1, 1638, -2653]$ \(y^2+y=x^3+x^2+1638x-2653\) 22.2.0.a.1
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