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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
135240.a1 135240.a \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -18911076, -31609055799]$ \(y^2=x^3-x^2-18911076x-31609055799\) 690.2.0.?
135240.b1 135240.b \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -4916, 33741]$ \(y^2=x^3-x^2-4916x+33741\) 690.2.0.?
135240.c1 135240.c \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9088536, 10549060236]$ \(y^2=x^3-x^2-9088536x+10549060236\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 280.12.0.?, 840.24.0.?, $\ldots$
135240.c2 135240.c \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -568416, 164737980]$ \(y^2=x^3-x^2-568416x+164737980\) 2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 420.24.0.?, 920.12.0.?, $\ldots$
135240.c3 135240.c \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -343016, 296461740]$ \(y^2=x^3-x^2-343016x+296461740\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 140.12.0.?, 840.24.0.?, $\ldots$
135240.c4 135240.c \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -49996, 295156]$ \(y^2=x^3-x^2-49996x+295156\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 210.6.0.?, $\ldots$
135240.d1 135240.d \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 373119, -385911819]$ \(y^2=x^3-x^2+373119x-385911819\) 230.2.0.?
135240.e1 135240.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.847799660$ $[0, -1, 0, -69685856, 223928874156]$ \(y^2=x^3-x^2-69685856x+223928874156\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 28.12.0-4.c.1.1, 56.48.0-56.bh.1.6, $\ldots$
135240.e2 135240.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.695599321$ $[0, -1, 0, -5997616, -5645498564]$ \(y^2=x^3-x^2-5997616x-5645498564\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 28.12.0-4.c.1.2, $\ldots$
135240.e3 135240.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.695599321$ $[0, -1, 0, -4364936, 3483833340]$ \(y^2=x^3-x^2-4364936x+3483833340\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.6, 28.24.0-4.b.1.1, 40.48.0-40.h.1.20, $\ldots$
135240.e4 135240.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $11.39119864$ $[0, -1, 0, -1277936, 8313136140]$ \(y^2=x^3-x^2-1277936x+8313136140\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 28.12.0-4.c.1.1, 40.48.0-40.ca.2.12, $\ldots$
135240.e5 135240.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.847799660$ $[0, -1, 0, -475316, -37050684]$ \(y^2=x^3-x^2-475316x-37050684\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.4, 28.24.0-4.b.1.3, 40.48.0-40.h.2.5, $\ldots$
135240.e6 135240.e \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $5.695599321$ $[0, -1, 0, 112929, -4579560]$ \(y^2=x^3-x^2+112929x-4579560\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.3, 28.12.0-4.c.1.2, $\ldots$
135240.f1 135240.f \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1534696, 731151961]$ \(y^2=x^3-x^2-1534696x+731151961\) 690.2.0.?
135240.g1 135240.g \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -126706176, 201274080876]$ \(y^2=x^3-x^2-126706176x+201274080876\) 2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?
135240.g2 135240.g \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -102858856, 401238628540]$ \(y^2=x^3-x^2-102858856x+401238628540\) 2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?
135240.h1 135240.h \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $3.063082981$ $[0, -1, 0, 6844, 122676]$ \(y^2=x^3-x^2+6844x+122676\) 230.2.0.?
135240.i1 135240.i \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -286176, 12434220]$ \(y^2=x^3-x^2-286176x+12434220\) 2.3.0.a.1, 280.6.0.?, 644.6.0.?, 920.6.0.?, 6440.12.0.?
135240.i2 135240.i \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -217576, 39078460]$ \(y^2=x^3-x^2-217576x+39078460\) 2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?
135240.j1 135240.j \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $8.687489300$ $[0, -1, 0, 4464, -377460]$ \(y^2=x^3-x^2+4464x-377460\) 552.2.0.?
135240.k1 135240.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $15.31796076$ $[0, -1, 0, -25417296, -49313592180]$ \(y^2=x^3-x^2-25417296x-49313592180\) 2.3.0.a.1, 60.6.0.c.1, 184.6.0.?, 2760.12.0.?
135240.k2 135240.k \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $30.63592152$ $[0, -1, 0, -1569976, -789065444]$ \(y^2=x^3-x^2-1569976x-789065444\) 2.3.0.a.1, 30.6.0.a.1, 184.6.0.?, 2760.12.0.?
135240.l1 135240.l \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1731921, -993856779]$ \(y^2=x^3-x^2-1731921x-993856779\) 230.2.0.?
135240.m1 135240.m \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -156, -279]$ \(y^2=x^3-x^2-156x-279\) 690.2.0.?
135240.n1 135240.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $2.389394585$ $[0, -1, 0, -1907096, 1008859020]$ \(y^2=x^3-x^2-1907096x+1008859020\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 280.24.0.?, $\ldots$
135240.n2 135240.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.778789171$ $[0, -1, 0, -192096, -5734980]$ \(y^2=x^3-x^2-192096x-5734980\) 2.6.0.a.1, 8.12.0-2.a.1.1, 140.12.0.?, 280.24.0.?, 1380.12.0.?, $\ldots$
135240.n3 135240.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $9.557578342$ $[0, -1, 0, -144076, -20966924]$ \(y^2=x^3-x^2-144076x-20966924\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 140.12.0.?, 280.24.0.?, $\ldots$
135240.n4 135240.n \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $9.557578342$ $[0, -1, 0, 754584, -46252884]$ \(y^2=x^3-x^2+754584x-46252884\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 1932.12.0.?, $\ldots$
135240.o1 135240.o \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -8416256, -9395001300]$ \(y^2=x^3-x^2-8416256x-9395001300\) 2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 184.24.0.?, 1288.48.0.?
135240.o2 135240.o \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -932976, 109990476]$ \(y^2=x^3-x^2-932976x+109990476\) 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, $\ldots$
135240.o3 135240.o \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -527256, -145937700]$ \(y^2=x^3-x^2-527256x-145937700\) 2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 184.24.0.?, 1288.48.0.?
135240.o4 135240.o \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/4\Z$ $1$ $[0, -1, 0, -8836, -5549564]$ \(y^2=x^3-x^2-8836x-5549564\) 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.?, $\ldots$
135240.p1 135240.p \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -58253176, -148698854324]$ \(y^2=x^3-x^2-58253176x-148698854324\) 2.3.0.a.1, 280.6.0.?, 644.6.0.?, 920.6.0.?, 6440.12.0.?
135240.p2 135240.p \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -15378176, 20897495676]$ \(y^2=x^3-x^2-15378176x+20897495676\) 2.3.0.a.1, 280.6.0.?, 322.6.0.?, 920.6.0.?, 6440.12.0.?
135240.q1 135240.q \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 161439, 31372965]$ \(y^2=x^3-x^2+161439x+31372965\) 230.2.0.?
135240.r1 135240.r \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $1.049693698$ $[0, -1, 0, -16, 1]$ \(y^2=x^3-x^2-16x+1\) 690.2.0.?
135240.s1 135240.s \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\mathsf{trivial}$ $0.643785490$ $[0, -1, 0, 229, -804]$ \(y^2=x^3-x^2+229x-804\) 230.2.0.?
135240.t1 135240.t \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -9865, -374723]$ \(y^2=x^3-x^2-9865x-374723\) 230.2.0.?
135240.u1 135240.u \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -23340, -1363788]$ \(y^2=x^3-x^2-23340x-1363788\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
135240.u2 135240.u \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -18440, -1957668]$ \(y^2=x^3-x^2-18440x-1957668\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
135240.v1 135240.v \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $0.513579287$ $[0, -1, 0, -660, -1308]$ \(y^2=x^3-x^2-660x-1308\) 2.3.0.a.1, 210.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.?
135240.v2 135240.v \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $1$ $\Z/2\Z$ $1.027158574$ $[0, -1, 0, 2560, -12900]$ \(y^2=x^3-x^2+2560x-12900\) 2.3.0.a.1, 420.6.0.?, 644.6.0.?, 1380.6.0.?, 9660.12.0.?
135240.w1 135240.w \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1650140, -815335863]$ \(y^2=x^3-x^2-1650140x-815335863\) 690.2.0.?
135240.x1 135240.x \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -7660, -262268]$ \(y^2=x^3-x^2-7660x-262268\) 230.2.0.?
135240.y1 135240.y \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -155271020, 744755814132]$ \(y^2=x^3-x^2-155271020x+744755814132\) 2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.?
135240.y2 135240.y \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -155148520, 745989487132]$ \(y^2=x^3-x^2-155148520x+745989487132\) 2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.?
135240.z1 135240.z \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9694960, -11421533108]$ \(y^2=x^3-x^2-9694960x-11421533108\) 2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.?
135240.z2 135240.z \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -9649880, -11534792100]$ \(y^2=x^3-x^2-9649880x-11534792100\) 2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.?
135240.ba1 135240.ba \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -57395, -5408640]$ \(y^2=x^3-x^2-57395x-5408640\) 230.2.0.?
135240.bb1 135240.bb \( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23 \) $2$ $\mathsf{trivial}$ $1.996159636$ $[0, -1, 0, -240, -15588]$ \(y^2=x^3-x^2-240x-15588\) 230.2.0.?
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