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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
12696.a1 12696.a \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -29800, 1843996]$ \(y^2=x^3-x^2-29800x+1843996\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
12696.a2 12696.a \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 1940, 130036]$ \(y^2=x^3-x^2+1940x+130036\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
12696.b1 12696.b \( 2^{3} \cdot 3 \cdot 23^{2} \) $2$ $\mathsf{trivial}$ $0.714020694$ $[0, -1, 0, 8, 316]$ \(y^2=x^3-x^2+8x+316\) 4.8.0.b.1, 92.16.0.?
12696.c1 12696.c \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $1.255049977$ $[0, -1, 0, -199, 1144]$ \(y^2=x^3-x^2-199x+1144\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?
12696.c2 12696.c \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $0.627524988$ $[0, -1, 0, -84, 2340]$ \(y^2=x^3-x^2-84x+2340\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.?
12696.d1 12696.d \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -104145464, 409115098764]$ \(y^2=x^3-x^2-104145464x+409115098764\) 24.2.0.b.1
12696.e1 12696.e \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -9169, -334955]$ \(y^2=x^3-x^2-9169x-334955\) 6.2.0.a.1
12696.f1 12696.f \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $1.253090465$ $[0, -1, 0, 31, -75]$ \(y^2=x^3-x^2+31x-75\) 6.6.0.b.1
12696.g1 12696.g \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.94122393$ $[0, -1, 0, -397984, -81644900]$ \(y^2=x^3-x^2-397984x-81644900\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$
12696.g2 12696.g \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $5.470611965$ $[0, -1, 0, -112324, 13308484]$ \(y^2=x^3-x^2-112324x+13308484\) 2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 92.24.0.?, 276.48.0.?
12696.g3 12696.g \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/4\Z$ $10.94122393$ $[0, -1, 0, -109679, 14017344]$ \(y^2=x^3-x^2-109679x+14017344\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 138.6.0.?, 184.24.0.?, $\ldots$
12696.g4 12696.g \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.94122393$ $[0, -1, 0, 131016, 62852508]$ \(y^2=x^3-x^2+131016x+62852508\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 46.6.0.a.1, 92.24.0.?, $\ldots$
12696.h1 12696.h \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -24676968, -47174799204]$ \(y^2=x^3-x^2-24676968x-47174799204\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
12696.h2 12696.h \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -1538508, -740537676]$ \(y^2=x^3-x^2-1538508x-740537676\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
12696.i1 12696.i \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -605352, 181458540]$ \(y^2=x^3-x^2-605352x+181458540\) 2.3.0.a.1, 24.6.0.a.1, 92.6.0.?, 552.12.0.?
12696.i2 12696.i \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -34032, 3435228]$ \(y^2=x^3-x^2-34032x+3435228\) 2.3.0.a.1, 24.6.0.d.1, 46.6.0.a.1, 552.12.0.?
12696.j1 12696.j \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $6.573887805$ $[0, -1, 0, 16223, 782293]$ \(y^2=x^3-x^2+16223x+782293\) 6.6.0.b.1
12696.k1 12696.k \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.035150282$ $[0, -1, 0, -203312, 35352972]$ \(y^2=x^3-x^2-203312x+35352972\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$
12696.k2 12696.k \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.070300564$ $[0, -1, 0, -34032, -2404932]$ \(y^2=x^3-x^2-34032x-2404932\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$
12696.k3 12696.k \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.070300564$ $[0, -1, 0, -12872, 540540]$ \(y^2=x^3-x^2-12872x+540540\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 92.24.0.?, $\ldots$
12696.k4 12696.k \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.035150282$ $[0, -1, 0, -2292, -30780]$ \(y^2=x^3-x^2-2292x-30780\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$
12696.k5 12696.k \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.070300564$ $[0, -1, 0, 353, -3272]$ \(y^2=x^3-x^2+353x-3272\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$
12696.k6 12696.k \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $12.14060112$ $[0, -1, 0, 8288, 2123308]$ \(y^2=x^3-x^2+8288x+2123308\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 92.12.0.?, $\ldots$
12696.l1 12696.l \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -4850577, 4114201653]$ \(y^2=x^3-x^2-4850577x+4114201653\) 6.2.0.a.1
12696.m1 12696.m \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -196872, -33556500]$ \(y^2=x^3-x^2-196872x-33556500\) 24.2.0.b.1
12696.n1 12696.n \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $18.68494951$ $[0, -1, 0, -105447, -13075920]$ \(y^2=x^3-x^2-105447x-13075920\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?
12696.n2 12696.n \( 2^{3} \cdot 3 \cdot 23^{2} \) $1$ $\Z/2\Z$ $9.342474755$ $[0, -1, 0, -44612, -28114332]$ \(y^2=x^3-x^2-44612x-28114332\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.?
12696.o1 12696.o \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 4056, -3877668]$ \(y^2=x^3-x^2+4056x-3877668\) 4.16.0-4.b.1.1
12696.p1 12696.p \( 2^{3} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $1.257113564$ $[0, 1, 0, -119224, 15805376]$ \(y^2=x^3+x^2-119224x+15805376\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?
12696.p2 12696.p \( 2^{3} \cdot 3 \cdot 23^{2} \) $2$ $\Z/2\Z$ $0.314278391$ $[0, 1, 0, -7444, 245600]$ \(y^2=x^3+x^2-7444x+245600\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.?
12696.q1 12696.q \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -482624, -126503904]$ \(y^2=x^3+x^2-482624x-126503904\) 2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.?
12696.q2 12696.q \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 4056, -6196608]$ \(y^2=x^3+x^2+4056x-6196608\) 2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.?
12696.r1 12696.r \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -912, 10080]$ \(y^2=x^3+x^2-912x+10080\) 2.3.0.a.1, 8.6.0.e.1, 92.6.0.?, 184.12.0.?
12696.r2 12696.r \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, 8, 512]$ \(y^2=x^3+x^2+8x+512\) 2.3.0.a.1, 8.6.0.e.1, 46.6.0.a.1, 184.12.0.?
12696.s1 12696.s \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -63069672, -192808566720]$ \(y^2=x^3+x^2-63069672x-192808566720\) 2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.?
12696.s2 12696.s \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -3938052, -3019719168]$ \(y^2=x^3+x^2-3938052x-3019719168\) 2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.?
12696.t1 12696.t \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -1557552, -748709472]$ \(y^2=x^3+x^2-1557552x-748709472\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.5, 184.24.0.?, 552.48.0.?
12696.t2 12696.t \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[0, 1, 0, -160992, 5331360]$ \(y^2=x^3+x^2-160992x+5331360\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 92.12.0.?, $\ldots$
12696.t3 12696.t \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 1, 0, -97512, -11681280]$ \(y^2=x^3+x^2-97512x-11681280\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 92.24.0.?, 552.48.0.?
12696.t4 12696.t \( 2^{3} \cdot 3 \cdot 23^{2} \) $0$ $\Z/4\Z$ $1$ $[0, 1, 0, -2292, -407232]$ \(y^2=x^3+x^2-2292x-407232\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 46.6.0.a.1, 92.24.0.?, $\ldots$
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