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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
55470.a1 55470.a \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -29131033, 60783850237]$ \(y^2+xy=x^3+x^2-29131033x+60783850237\) 120.2.0.?
55470.b1 55470.b \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $2.243367049$ $[1, 1, 0, -253, -323]$ \(y^2+xy=x^3+x^2-253x-323\) 60.2.0.a.1
55470.c1 55470.c \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.300970987$ $[1, 1, 0, 48, 666]$ \(y^2+xy=x^3+x^2+48x+666\) 8.2.0.a.1
55470.d1 55470.d \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $4.172658696$ $[1, 1, 0, -63431832, 84443489676]$ \(y^2+xy=x^3+x^2-63431832x+84443489676\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 8.6.0.d.1, 24.48.0-24.bx.1.2, $\ldots$
55470.d2 55470.d \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $12.51797608$ $[1, 1, 0, -32479572, -71256562416]$ \(y^2+xy=x^3+x^2-32479572x-71256562416\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 8.6.0.d.1, 24.48.0-24.bx.1.6, $\ldots$
55470.d3 55470.d \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $25.03595217$ $[1, 1, 0, -30630572, -79724612616]$ \(y^2+xy=x^3+x^2-30630572x-79724612616\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.5, $\ldots$
55470.d4 55470.d \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $8.345317392$ $[1, 1, 0, 225474418, 639663520926]$ \(y^2+xy=x^3+x^2+225474418x+639663520926\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.11, $\ldots$
55470.e1 55470.e \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $5.285630681$ $[1, 1, 0, -353197, -74638691]$ \(y^2+xy=x^3+x^2-353197x-74638691\) 2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.?
55470.e2 55470.e \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $10.57126136$ $[1, 1, 0, 386403, -345184371]$ \(y^2+xy=x^3+x^2+386403x-345184371\) 2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.?
55470.f1 55470.f \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.458262235$ $[1, 0, 1, -186659, 1896143582]$ \(y^2+xy+y=x^3-186659x+1896143582\) 8.2.0.a.1
55470.g1 55470.g \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -110979, -122464844]$ \(y^2+xy+y=x^3-110979x-122464844\) 120.2.0.?
55470.h1 55470.h \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.972990284$ $[1, 0, 1, -83244, -17016374]$ \(y^2+xy+y=x^3-83244x-17016374\) 1720.2.0.?
55470.i1 55470.i \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -3291259, -2689109818]$ \(y^2+xy+y=x^3-3291259x-2689109818\) 3.8.0-3.a.1.1, 8.2.0.a.1, 24.16.0-24.a.1.6
55470.i2 55470.i \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/3\Z$ $1$ $[1, 0, 1, 286556, 21442826]$ \(y^2+xy+y=x^3+286556x+21442826\) 3.8.0-3.a.1.2, 8.2.0.a.1, 24.16.0-24.a.1.8
55470.j1 55470.j \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $18.94510745$ $[1, 0, 1, -1060098303, -13285264645802]$ \(y^2+xy+y=x^3-1060098303x-13285264645802\) 2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.?
55470.j2 55470.j \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $9.472553727$ $[1, 0, 1, -66260803, -207555750802]$ \(y^2+xy+y=x^3-66260803x-207555750802\) 2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?
55470.k1 55470.k \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -2470303, -1494607744]$ \(y^2+xy+y=x^3-2470303x-1494607744\) 2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.?
55470.k2 55470.k \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -159053, -21879244]$ \(y^2+xy+y=x^3-159053x-21879244\) 2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.?
55470.l1 55470.l \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.015180526$ $[1, 0, 1, -383, 3026]$ \(y^2+xy+y=x^3-383x+3026\) 1720.2.0.?
55470.m1 55470.m \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $1.527362714$ $[1, 0, 1, -38653, 2897528]$ \(y^2+xy+y=x^3-38653x+2897528\) 2.3.0.a.1, 120.6.0.?, 516.6.0.?, 1720.6.0.?, 5160.12.0.?
55470.m2 55470.m \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $0.763681357$ $[1, 0, 1, -4253, -33352]$ \(y^2+xy+y=x^3-4253x-33352\) 2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.?
55470.n1 55470.n \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.134526853$ $[1, 0, 1, -269993, 52450556]$ \(y^2+xy+y=x^3-269993x+52450556\) 60.2.0.a.1
55470.o1 55470.o \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -306519863, 2065522864538]$ \(y^2+xy+y=x^3-306519863x+2065522864538\) 2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?
55470.o2 55470.o \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -18963383, 32958641306]$ \(y^2+xy+y=x^3-18963383x+32958641306\) 2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?
55470.p1 55470.p \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $7.564307126$ $[1, 1, 1, -50886, 3910989]$ \(y^2+xy+y=x^3+x^2-50886x+3910989\) 2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.?
55470.p2 55470.p \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $3.782153563$ $[1, 1, 1, 4584, 316533]$ \(y^2+xy+y=x^3+x^2+4584x+316533\) 2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.?
55470.q1 55470.q \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.142134798$ $[1, 1, 1, -146, -721]$ \(y^2+xy+y=x^3+x^2-146x-721\) 60.2.0.a.1
55470.r1 55470.r \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $7.922128163$ $[1, 1, 1, -9582481, 9847709639]$ \(y^2+xy+y=x^3+x^2-9582481x+9847709639\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$
55470.r2 55470.r \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $3.961064081$ $[1, 1, 1, -9212681, 10758748919]$ \(y^2+xy+y=x^3+x^2-9212681x+10758748919\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 40.6.0.c.1, 120.48.0.?, $\ldots$
55470.r3 55470.r \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $23.76638448$ $[1, 1, 1, -2510056, -1530074881]$ \(y^2+xy+y=x^3+x^2-2510056x-1530074881\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$
55470.r4 55470.r \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $11.88319224$ $[1, 1, 1, -198806, -10196881]$ \(y^2+xy+y=x^3+x^2-198806x-10196881\) 2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.c.1, 120.48.0.?, $\ldots$
55470.s1 55470.s \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -71468511, -230659652571]$ \(y^2+xy+y=x^3+x^2-71468511x-230659652571\) 2.3.0.a.1, 120.6.0.?, 516.6.0.?, 1720.6.0.?, 5160.12.0.?
55470.s2 55470.s \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -7862911, 2620245989]$ \(y^2+xy+y=x^3+x^2-7862911x+2620245989\) 2.3.0.a.1, 120.6.0.?, 258.6.0.?, 1720.6.0.?, 5160.12.0.?
55470.t1 55470.t \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -707281, -243437137]$ \(y^2+xy+y=x^3+x^2-707281x-243437137\) 1720.2.0.?
55470.u1 55470.u \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $4.367751500$ $[1, 1, 1, -439176, 108261153]$ \(y^2+xy+y=x^3+x^2-439176x+108261153\) 2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.?
55470.u2 55470.u \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\Z/2\Z$ $2.183875750$ $[1, 1, 1, -69376, -4749727]$ \(y^2+xy+y=x^3+x^2-69376x-4749727\) 2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.?
55470.v1 55470.v \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $7.995546653$ $[1, 1, 1, 222305182134, 266453215936879959]$ \(y^2+xy+y=x^3+x^2+222305182134x+266453215936879959\) 1720.2.0.?
55470.w1 55470.w \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -573336, 166855533]$ \(y^2+xy+y=x^3+x^2-573336x+166855533\) 2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.?
55470.w2 55470.w \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -35836, 2595533]$ \(y^2+xy+y=x^3+x^2-35836x+2595533\) 2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.?
55470.x1 55470.x \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1550425, -738640015]$ \(y^2+xy+y=x^3+x^2-1550425x-738640015\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.s.1.6, 344.24.0.?, $\ldots$
55470.x2 55470.x \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -163675, 6322085]$ \(y^2+xy+y=x^3+x^2-163675x+6322085\) 2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.6, 344.24.0.?, 516.24.0.?, $\ldots$
55470.x3 55470.x \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, -126695, 17282957]$ \(y^2+xy+y=x^3+x^2-126695x+17282957\) 2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.13, 258.6.0.?, 344.24.0.?, $\ldots$
55470.x4 55470.x \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 631395, 50527977]$ \(y^2+xy+y=x^3+x^2+631395x+50527977\) 2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.5, 344.24.0.?, 1032.48.0.?
55470.y1 55470.y \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $0.114029360$ $[1, 1, 1, -1780, 33077]$ \(y^2+xy+y=x^3+x^2-1780x+33077\) 3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.?
55470.y2 55470.y \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $1.026264241$ $[1, 1, 1, 155, -205]$ \(y^2+xy+y=x^3+x^2+155x-205\) 3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.?
55470.z1 55470.z \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, 9367920, 380006493297]$ \(y^2+xy+y=x^3+x^2+9367920x+380006493297\) 1720.2.0.?
55470.ba1 55470.ba \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -122724640, -523302872095]$ \(y^2+xy+y=x^3+x^2-122724640x-523302872095\) 2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 344.24.0.?, 1720.48.0.?
55470.ba2 55470.ba \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -45214560, 111251680737]$ \(y^2+xy+y=x^3+x^2-45214560x+111251680737\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.v.1.7, 344.24.0.?, $\ldots$
55470.ba3 55470.ba \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -8234560, -6906815263]$ \(y^2+xy+y=x^3+x^2-8234560x-6906815263\) 2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.6, 344.24.0.?, 860.24.0.?, $\ldots$
55470.ba4 55470.ba \( 2 \cdot 3 \cdot 5 \cdot 43^{2} \) $0$ $\Z/4\Z$ $1$ $[1, 1, 1, 1232320, -681394975]$ \(y^2+xy+y=x^3+x^2+1232320x-681394975\) 2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 344.24.0.?, 430.6.0.?, $\ldots$
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