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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
192027.a1 192027.a \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.774029547$ $[0, -1, 1, 234700, 8168852]$ \(y^2+y=x^3-x^2+234700x+8168852\) 6.2.0.a.1
192027.b1 192027.b \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $5.147957866$ $[1, 1, 1, -70635265, 228467412416]$ \(y^2+xy+y=x^3+x^2-70635265x+228467412416\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 24.24.0.dn.1, 92.12.0.?, $\ldots$
192027.b2 192027.b \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $10.29591573$ $[1, 1, 1, -4385950, 3617237306]$ \(y^2+xy+y=x^3+x^2-4385950x+3617237306\) 2.3.0.a.1, 4.12.0.f.1, 24.24.0.dt.1, 46.6.0.a.1, 92.24.0.?, $\ldots$
192027.c1 192027.c \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $0.380307254$ $[1, 1, 1, 58, -340]$ \(y^2+xy+y=x^3+x^2+58x-340\) 4.2.0.a.1, 552.4.0.?
192027.d1 192027.d \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.515564087$ $[1, 1, 1, -9378652, 11040233018]$ \(y^2+xy+y=x^3+x^2-9378652x+11040233018\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 184.12.0.?, $\ldots$
192027.d2 192027.d \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $15.03112817$ $[1, 1, 1, -737437, 76259426]$ \(y^2+xy+y=x^3+x^2-737437x+76259426\) 2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 92.12.0.?, 132.24.0.?, $\ldots$
192027.d3 192027.d \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $30.06225635$ $[1, 1, 1, -417392, -103093792]$ \(y^2+xy+y=x^3+x^2-417392x-103093792\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$
192027.d4 192027.d \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $7.515564087$ $[1, 1, 1, 2783058, 597292686]$ \(y^2+xy+y=x^3+x^2+2783058x+597292686\) 2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$
192027.e1 192027.e \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $11.38838693$ $[1, 1, 1, 30671, 4441328]$ \(y^2+xy+y=x^3+x^2+30671x+4441328\) 4.2.0.a.1, 24.4.0-4.a.1.1
192027.f1 192027.f \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $3.400415480$ $[1, 1, 1, -133526, -18835684]$ \(y^2+xy+y=x^3+x^2-133526x-18835684\) 2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 24.24.0.dn.1, 92.12.0.?, $\ldots$
192027.f2 192027.f \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $6.800830960$ $[1, 1, 1, -8291, -300904]$ \(y^2+xy+y=x^3+x^2-8291x-300904\) 2.3.0.a.1, 4.12.0.f.1, 24.24.0.dt.1, 46.6.0.a.1, 92.24.0.?, $\ldots$
192027.g1 192027.g \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 30671, 1922900]$ \(y^2+xy=x^3+30671x+1922900\) 6.2.0.a.1
192027.h1 192027.h \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -30245586, -64027495971]$ \(y^2+xy=x^3-30245586x-64027495971\) 4.2.0.a.1, 24.4.0-4.a.1.1
192027.i1 192027.i \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -993473, -379954794]$ \(y^2+xy=x^3-993473x-379954794\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
192027.i2 192027.i \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -33338, -11454981]$ \(y^2+xy=x^3-33338x-11454981\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
192027.j1 192027.j \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, 58, -153]$ \(y^2+xy=x^3+58x-153\) 6.2.0.a.1
192027.k1 192027.k \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $5.256293986$ $[1, 1, 0, 7016, 487381]$ \(y^2+xy=x^3+x^2+7016x+487381\) 4.2.0.a.1, 6072.4.0.?
192027.l1 192027.l \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $26.24787926$ $[1, 1, 0, -79244475, -269440692066]$ \(y^2+xy=x^3+x^2-79244475x-269440692066\) 2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.?
192027.l2 192027.l \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\Z/2\Z$ $52.49575853$ $[1, 1, 0, -1473540, -10012407093]$ \(y^2+xy=x^3+x^2-1473540x-10012407093\) 2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.?
192027.m1 192027.m \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $39.78254023$ $[1, 1, 0, 3711189, -5892851862]$ \(y^2+xy=x^3+x^2+3711189x-5892851862\) 4.2.0.a.1, 264.4.0.?
192027.n1 192027.n \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 3711188, -2555668711]$ \(y^2+xy+y=x^3+3711188x-2555668711\) 6.2.0.a.1
192027.o1 192027.o \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -3659715909, 85216937421493]$ \(y^2+xy+y=x^3-3659715909x+85216937421493\) 4.2.0.a.1, 264.4.0.?
192027.p1 192027.p \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, 7015, 210659]$ \(y^2+xy+y=x^3+7015x+210659\) 6.2.0.a.1
192027.q1 192027.q \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -5959495270, -177077568797197]$ \(y^2+xy+y=x^3-5959495270x-177077568797197\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 48.48.0-48.f.1.24, 66.6.0.a.1, $\ldots$
192027.q2 192027.q \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -372469705, -2766840789649]$ \(y^2+xy+y=x^3-372469705x-2766840789649\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 24.48.0-24.h.1.25, 88.48.0.?, $\ldots$
192027.q3 192027.q \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -361908220, -2931126801121]$ \(y^2+xy+y=x^3-361908220x-2931126801121\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 24.24.0.by.1, $\ldots$
192027.q4 192027.q \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -90190015, 285909210959]$ \(y^2+xy+y=x^3-90190015x+285909210959\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0.by.2, $\ldots$
192027.q5 192027.q \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -23940700, -40646912539]$ \(y^2+xy+y=x^3-23940700x-40646912539\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.h.2.19, 44.24.0-4.b.1.2, $\ldots$
192027.q6 192027.q \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 1982945, -3150952411]$ \(y^2+xy+y=x^3+1982945x-3150952411\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 44.12.0-4.c.1.2, 46.6.0.a.1, $\ldots$
192027.r1 192027.r \( 3 \cdot 11^{2} \cdot 23^{2} \) $1$ $\mathsf{trivial}$ $7.635879870$ $[0, -1, 1, 1940, -6843]$ \(y^2+y=x^3-x^2+1940x-6843\) 6.2.0.a.1
192027.s1 192027.s \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -2453678, 1699431245]$ \(y^2+y=x^3+x^2-2453678x+1699431245\) 6.2.0.a.1
192027.t1 192027.t \( 3 \cdot 11^{2} \cdot 23^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -4638, -141289]$ \(y^2+y=x^3+x^2-4638x-141289\) 6.2.0.a.1
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