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Results (48 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
1170.a1 1170.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.912566913$ $[1, -1, 0, -81135, 8915611]$ \(y^2+xy=x^3-x^2-81135x+8915611\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.5, $\ldots$ $[(165, -76)]$
1170.a2 1170.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $1.825133826$ $[1, -1, 0, -7605, -253175]$ \(y^2+xy=x^3-x^2-7605x-253175\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 24.48.0-24.by.1.7, $\ldots$ $[(-49, 29)]$
1170.a3 1170.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.456283456$ $[1, -1, 0, -5085, 139441]$ \(y^2+xy=x^3-x^2-5085x+139441\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.1, 24.48.0-24.h.2.2, $\ldots$ $[(48, 41)]$
1170.a4 1170.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.912566913$ $[1, -1, 0, -1035, 352471]$ \(y^2+xy=x^3-x^2-1035x+352471\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 24.48.0-24.by.2.15, $\ldots$ $[(-33, 608)]$
1170.a5 1170.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.912566913$ $[1, -1, 0, -585, -1859]$ \(y^2+xy=x^3-x^2-585x-1859\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.3, 24.48.0-24.h.1.2, $\ldots$ $[(-13, 65)]$
1170.a6 1170.a \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.456283456$ $[1, -1, 0, 135, -275]$ \(y^2+xy=x^3-x^2+135x-275\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.6, $\ldots$ $[(5, 20)]$
1170.b1 1170.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.944114455$ $[1, -1, 0, -12480, 539756]$ \(y^2+xy=x^3-x^2-12480x+539756\) 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.i.1, $\ldots$ $[(67, -2)]$
1170.b2 1170.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.472057227$ $[1, -1, 0, -780, 8576]$ \(y^2+xy=x^3-x^2-780x+8576\) 2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$ $[(7, 55)]$
1170.b3 1170.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.236028613$ $[1, -1, 0, -600, 12500]$ \(y^2+xy=x^3-x^2-600x+12500\) 2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 520.48.1.?, 1040.96.3.?, $\ldots$ $[(-2, 118)]$
1170.b4 1170.b \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.944114455$ $[1, -1, 0, -60, 80]$ \(y^2+xy=x^3-x^2-60x+80\) 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.i.1, $\ldots$ $[(1, 4)]$
1170.c1 1170.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.894541617$ $[1, -1, 0, -4524, 71288]$ \(y^2+xy=x^3-x^2-4524x+71288\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 156.48.0.?, $\ldots$ $[(59, 55)]$
1170.c2 1170.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/6\Z$ $2.683624853$ $[1, -1, 0, -3999, 98343]$ \(y^2+xy=x^3-x^2-3999x+98343\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 156.48.0.?, $\ldots$ $[(67, 324)]$
1170.c3 1170.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/6\Z$ $1.341812426$ $[1, -1, 0, -249, 1593]$ \(y^2+xy=x^3-x^2-249x+1593\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 120.48.0.?, $\ldots$ $[(9, 0)]$
1170.c4 1170.c \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.447270808$ $[1, -1, 0, 876, 7568]$ \(y^2+xy=x^3-x^2+876x+7568\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 120.48.0.?, $\ldots$ $[(19, 166)]$
1170.d1 1170.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.302874216$ $[1, -1, 0, -7569, 255325]$ \(y^2+xy=x^3-x^2-7569x+255325\) 2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 130.6.0.?, 260.24.0.?, $\ldots$ $[(41, 92)]$
1170.d2 1170.d \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.151437108$ $[1, -1, 0, -6849, 305293]$ \(y^2+xy=x^3-x^2-6849x+305293\) 2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ $[(-18, 659)]$
1170.e1 1170.e \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.683588771$ $[1, -1, 0, -414, 3010]$ \(y^2+xy=x^3-x^2-414x+3010\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? $[(-1, 59)]$
1170.e2 1170.e \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.341794385$ $[1, -1, 0, 36, 220]$ \(y^2+xy=x^3-x^2+36x+220\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? $[(-1, 14)]$
1170.f1 1170.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -79194, 4313908]$ \(y^2+xy=x^3-x^2-79194x+4313908\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? $[ ]$
1170.f2 1170.f \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 16806, 493108]$ \(y^2+xy=x^3-x^2+16806x+493108\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? $[ ]$
1170.g1 1170.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, -10764, 410670]$ \(y^2+xy=x^3-x^2-10764x+410670\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$ $[ ]$
1170.g2 1170.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -1854, -30132]$ \(y^2+xy=x^3-x^2-1854x-30132\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$ $[ ]$
1170.g3 1170.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -54, -972]$ \(y^2+xy=x^3-x^2-54x-972\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.c.1, 78.48.0.?, $\ldots$ $[ ]$
1170.g4 1170.g \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 0, 486, 25920]$ \(y^2+xy=x^3-x^2+486x+25920\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.c.1, 78.48.0.?, $\ldots$ $[ ]$
1170.h1 1170.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $9.401060044$ $[1, -1, 1, -35993, -2619269]$ \(y^2+xy+y=x^3-x^2-35993x-2619269\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 156.48.0.?, $\ldots$ $[(8167/6, 174821/6)]$
1170.h2 1170.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $4.700530022$ $[1, -1, 1, -2243, -40769]$ \(y^2+xy+y=x^3-x^2-2243x-40769\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 120.48.0.?, $\ldots$ $[(463/2, 8443/2)]$
1170.h3 1170.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/6\Z$ $3.133686681$ $[1, -1, 1, -503, -2473]$ \(y^2+xy+y=x^3-x^2-503x-2473\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 156.48.0.?, $\ldots$ $[(25, -2)]$
1170.h4 1170.h \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/6\Z$ $1.566843340$ $[1, -1, 1, 97, -313]$ \(y^2+xy+y=x^3-x^2+97x-313\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 120.48.0.?, $\ldots$ $[(13, 48)]$
1170.i1 1170.i \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -1868, 30287]$ \(y^2+xy+y=x^3-x^2-1868x+30287\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 12.48.0-12.f.1.8, $\ldots$ $[ ]$
1170.i2 1170.i \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -293, -1843]$ \(y^2+xy+y=x^3-x^2-293x-1843\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 12.48.0-12.f.1.6, $\ldots$ $[ ]$
1170.i3 1170.i \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -113, -4219]$ \(y^2+xy+y=x^3-x^2-113x-4219\) 2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 12.96.0-12.b.1.7, $\ldots$ $[ ]$
1170.i4 1170.i \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, 1012, 113231]$ \(y^2+xy+y=x^3-x^2+1012x+113231\) 2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 12.96.0-12.b.2.5, $\ldots$ $[ ]$
1170.j1 1170.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.209037613$ $[1, -1, 1, -7673, 260601]$ \(y^2+xy+y=x^3-x^2-7673x+260601\) 2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? $[(53, 0)]$
1170.j2 1170.j \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $1$ $\Z/2\Z$ $0.104518806$ $[1, -1, 1, -473, 4281]$ \(y^2+xy+y=x^3-x^2-473x+4281\) 2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? $[(5, 42)]$
1170.k1 1170.k \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -7853198, 8472578717]$ \(y^2+xy+y=x^3-x^2-7853198x+8472578717\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$ $[ ]$
1170.k2 1170.k \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/6\Z$ $1$ $[1, -1, 1, -480398, 138365597]$ \(y^2+xy+y=x^3-x^2-480398x+138365597\) 2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.c.1, 78.48.0.?, $\ldots$ $[ ]$
1170.k3 1170.k \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -144023, -755953]$ \(y^2+xy+y=x^3-x^2-144023x-755953\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$ $[ ]$
1170.k4 1170.k \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 35977, -107953]$ \(y^2+xy+y=x^3-x^2+35977x-107953\) 2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.c.1, 78.48.0.?, $\ldots$ $[ ]$
1170.l1 1170.l \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -712748, -115762769]$ \(y^2+xy+y=x^3-x^2-712748x-115762769\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? $[ ]$
1170.l2 1170.l \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 151252, -13465169]$ \(y^2+xy+y=x^3-x^2+151252x-13465169\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? $[ ]$
1170.m1 1170.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -4352, 111561]$ \(y^2+xy+y=x^3-x^2-4352x+111561\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ $[ ]$
1170.m2 1170.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -302, 1401]$ \(y^2+xy+y=x^3-x^2-302x+1401\) 2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ $[ ]$
1170.m3 1170.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -122, -471]$ \(y^2+xy+y=x^3-x^2-122x-471\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ $[ ]$
1170.m4 1170.m \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, 868, 8889]$ \(y^2+xy+y=x^3-x^2+868x+8889\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ $[ ]$
1170.n1 1170.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -778757, -264320611]$ \(y^2+xy+y=x^3-x^2-778757x-264320611\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 40.24.0-40.bb.1.7, 120.48.0.? $[ ]$
1170.n2 1170.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 1, -55877, -2815459]$ \(y^2+xy+y=x^3-x^2-55877x-2815459\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 40.24.0-40.v.1.7, $\ldots$ $[ ]$
1170.n3 1170.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, -1, 1, -48677, -4120099]$ \(y^2+xy+y=x^3-x^2-48677x-4120099\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 40.24.0-40.a.1.6, 60.24.0-60.b.1.1, $\ldots$ $[ ]$
1170.n4 1170.n \( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) $0$ $\Z/4\Z$ $1$ $[1, -1, 1, -2597, -83491]$ \(y^2+xy+y=x^3-x^2-2597x-83491\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 30.6.0.a.1, 40.24.0-40.bb.1.15, $\ldots$ $[ ]$
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