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The results below are complete, since the LMFDB contains all elliptic curves with conductor at most 500000

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Results (46 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images MW-generators
18032.a1 18032.a \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 1196825, -12764985443]$ \(y^2=x^3+1196825x-12764985443\) 46.2.0.a.1 $[ ]$
18032.b1 18032.b \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.932817635$ $[0, 0, 0, -49, 343]$ \(y^2=x^3-49x+343\) 46.2.0.a.1 $[(14, 49)]$
18032.c1 18032.c \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 2597, -1715]$ \(y^2=x^3+2597x-1715\) 46.2.0.a.1 $[ ]$
18032.d1 18032.d \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.686034568$ $[0, 1, 0, -2692664, 1699777876]$ \(y^2=x^3+x^2-2692664x+1699777876\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[(948, 50)]$
18032.d2 18032.d \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.343017284$ $[0, 1, 0, -168184, 26552532]$ \(y^2=x^3+x^2-168184x+26552532\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(212, 686)]$
18032.e1 18032.e \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.294729515$ $[0, 1, 0, -44, 76]$ \(y^2=x^3+x^2-44x+76\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[(6, 8)]$
18032.e2 18032.e \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $0.647364757$ $[0, 1, 0, 96, 580]$ \(y^2=x^3+x^2+96x+580\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(2, 28)]$
18032.f1 18032.f \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -831448, 42268596]$ \(y^2=x^3+x^2-831448x+42268596\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 $[ ]$
18032.f2 18032.f \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 205392, 5357092]$ \(y^2=x^3+x^2+205392x+5357092\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 $[ ]$
18032.g1 18032.g \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.050351606$ $[0, 1, 0, -136432, 19327188]$ \(y^2=x^3+x^2-136432x+19327188\) 2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? $[(242, 736)]$
18032.g2 18032.g \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.100703213$ $[0, 1, 0, -10992, 109780]$ \(y^2=x^3+x^2-10992x+109780\) 2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? $[(-12, 490)]$
18032.h1 18032.h \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 82, -2225]$ \(y^2=x^3-x^2+82x-2225\) 46.2.0.a.1 $[ ]$
18032.i1 18032.i \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.082188214$ $[0, -1, 0, -212, 1303]$ \(y^2=x^3-x^2-212x+1303\) 46.2.0.a.1 $[(-9, 49)]$
18032.j1 18032.j \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -16, 323]$ \(y^2=x^3-x^2-16x+323\) 46.2.0.a.1 $[ ]$
18032.k1 18032.k \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.955424512$ $[0, 0, 0, -133427, -18758670]$ \(y^2=x^3-133427x-18758670\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(434, 2254)]$
18032.k2 18032.k \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.910849025$ $[0, 0, 0, -7987, -318990]$ \(y^2=x^3-7987x-318990\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(8297, 755712)]$
18032.l1 18032.l \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/2\Z$ $4.763093862$ $[0, 0, 0, -96971, 11620154]$ \(y^2=x^3-96971x+11620154\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.1, 56.24.0-56.z.1.10, $\ldots$ $[(175, 98), (191, 258)]$
18032.l2 18032.l \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $4.763093862$ $[0, 0, 0, -6811, 133770]$ \(y^2=x^3-6811x+133770\) 2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 92.24.0.?, 644.48.0.? $[(7, 294), (-42, 588)]$
18032.l3 18032.l \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/2\Z$ $4.763093862$ $[0, 0, 0, -2891, -58310]$ \(y^2=x^3-2891x-58310\) 2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 184.24.0.?, 322.6.0.?, $\ldots$ $[(-27, 8), (-33, 34)]$
18032.l4 18032.l \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/4\Z$ $4.763093862$ $[0, 0, 0, 20629, 940506]$ \(y^2=x^3+20629x+940506\) 2.3.0.a.1, 4.12.0-4.c.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, 184.24.0.?, $\ldots$ $[(-19, 736), (399, 8526)]$
18032.m1 18032.m \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.249983129$ $[0, 0, 0, -47971, 4043970]$ \(y^2=x^3-47971x+4043970\) 2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? $[(127, 6)]$
18032.m2 18032.m \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.124991564$ $[0, 0, 0, -2891, 67914]$ \(y^2=x^3-2891x+67914\) 2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? $[(29, 92)]$
18032.n1 18032.n \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/2\Z$ $0.873435033$ $[0, 0, 0, -1715, 21266]$ \(y^2=x^3-1715x+21266\) 2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? $[(37, 92), (7, 98)]$
18032.n2 18032.n \( 2^{4} \cdot 7^{2} \cdot 23 \) $2$ $\Z/2\Z$ $3.493740134$ $[0, 0, 0, 245, 2058]$ \(y^2=x^3+245x+2058\) 2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? $[(-3, 36), (1, 48)]$
18032.o1 18032.o \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $3.143702923$ $[0, 0, 0, -186739, 30962610]$ \(y^2=x^3-186739x+30962610\) 2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? $[(63, 4410)]$
18032.o2 18032.o \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.571851461$ $[0, 0, 0, -6419, 921298]$ \(y^2=x^3-6419x+921298\) 2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? $[(231, 3430)]$
18032.p1 18032.p \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -898, -12965]$ \(y^2=x^3+x^2-898x-12965\) 3.4.0.a.1, 46.2.0.a.1, 84.8.0.?, 138.8.0.?, 1932.16.0.? $[ ]$
18032.p2 18032.p \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, 82, 167]$ \(y^2=x^3+x^2+82x+167\) 3.4.0.a.1, 46.2.0.a.1, 84.8.0.?, 138.8.0.?, 1932.16.0.? $[ ]$
18032.q1 18032.q \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 0, -1388, 19571]$ \(y^2=x^3+x^2-1388x+19571\) 46.2.0.a.1 $[ ]$
18032.r1 18032.r \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $6.655854520$ $[0, 1, 0, 278, -15317]$ \(y^2=x^3+x^2+278x-15317\) 46.2.0.a.1 $[(3147/11, 134309/11)]$
18032.s1 18032.s \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.920549352$ $[0, -1, 0, -18440, -411424]$ \(y^2=x^3-x^2-18440x-411424\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? $[(-1943/4, 9555/4)]$
18032.s2 18032.s \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.960274676$ $[0, -1, 0, 4100, -50784]$ \(y^2=x^3-x^2+4100x-50784\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(808/3, 27440/3)]$
18032.t1 18032.t \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -130944, 17303840]$ \(y^2=x^3-x^2-130944x+17303840\) 2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? $[ ]$
18032.t2 18032.t \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -128984, 17873024]$ \(y^2=x^3-x^2-128984x+17873024\) 2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? $[ ]$
18032.u1 18032.u \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -23928, 1432544]$ \(y^2=x^3-x^2-23928x+1432544\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? $[ ]$
18032.u2 18032.u \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1388, 26048]$ \(y^2=x^3-x^2-1388x+26048\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[ ]$
18032.v1 18032.v \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -474728, 118023536]$ \(y^2=x^3-x^2-474728x+118023536\) 2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 $[ ]$
18032.v2 18032.v \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 27032, 8037744]$ \(y^2=x^3-x^2+27032x+8037744\) 2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 $[ ]$
18032.w1 18032.w \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.098472590$ $[0, -1, 0, -10992, -369088]$ \(y^2=x^3-x^2-10992x-369088\) 2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? $[(128, 552)]$
18032.w2 18032.w \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $4.196945180$ $[0, -1, 0, -3152, 63680]$ \(y^2=x^3-x^2-3152x+63680\) 2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? $[(922, 27930)]$
18032.x1 18032.x \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $12.84154163$ $[0, -1, 0, -54952, -4939920]$ \(y^2=x^3-x^2-54952x-4939920\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[(724786/15, 615264166/15)]$
18032.x2 18032.x \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $6.420770819$ $[0, -1, 0, -3432, -76432]$ \(y^2=x^3-x^2-3432x-76432\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(3218, 182490)]$
18032.y1 18032.y \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $11.61451250$ $[0, -1, 0, -2172, -30400]$ \(y^2=x^3-x^2-2172x-30400\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? $[(210100/21, 95725720/21)]$
18032.y2 18032.y \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.807256253$ $[0, -1, 0, 4688, -189552]$ \(y^2=x^3-x^2+4688x-189552\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? $[(1824/7, 64308/7)]$
18032.z1 18032.z \( 2^{4} \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.914746980$ $[0, 0, 0, -412531, 103471781]$ \(y^2=x^3-412531x+103471781\) 46.2.0.a.1 $[(2884/3, 55223/3)]$
18032.ba1 18032.ba \( 2^{4} \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -2695, -53851]$ \(y^2=x^3-2695x-53851\) 46.2.0.a.1 $[ ]$
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