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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
47040.a1 47040.a \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -3350881, 1347539425]$ \(y^2=x^3-x^2-3350881x+1347539425\) 2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
47040.a2 47040.a \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 10698399, 9695621601]$ \(y^2=x^3-x^2+10698399x+9695621601\) 2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
47040.b1 47040.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $2.936935108$ $[0, -1, 0, -167841, 26479041]$ \(y^2=x^3-x^2-167841x+26479041\) 2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.?
47040.b2 47040.b \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $1.468467554$ $[0, -1, 0, -112961, 44029665]$ \(y^2=x^3-x^2-112961x+44029665\) 2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.?
47040.c1 47040.c \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -191361, -37001439]$ \(y^2=x^3-x^2-191361x-37001439\) 40.2.0.a.1
47040.d1 47040.d \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $5.407783957$ $[0, -1, 0, -4370081, 2178798945]$ \(y^2=x^3-x^2-4370081x+2178798945\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$
47040.d2 47040.d \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.703891978$ $[0, -1, 0, -3889881, 2953553625]$ \(y^2=x^3-x^2-3889881x+2953553625\) 2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.a.1, $\ldots$
47040.d3 47040.d \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $5.407783957$ $[0, -1, 0, -3889636, 2953944106]$ \(y^2=x^3-x^2-3889636x+2953944106\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, $\ldots$
47040.d4 47040.d \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $5.407783957$ $[0, -1, 0, -3413601, 3703313601]$ \(y^2=x^3-x^2-3413601x+3703313601\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$
47040.e1 47040.e \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.010466033$ $[0, -1, 0, -567681, 164800161]$ \(y^2=x^3-x^2-567681x+164800161\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0.h.1, 120.24.0.?, $\ldots$
47040.e2 47040.e \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.005233016$ $[0, -1, 0, -38481, 2124081]$ \(y^2=x^3-x^2-38481x+2124081\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$
47040.e3 47040.e \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.010466033$ $[0, -1, 0, -13981, -605219]$ \(y^2=x^3-x^2-13981x-605219\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 42.6.0.a.1, 84.12.0.?, $\ldots$
47040.e4 47040.e \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $4.010466033$ $[0, -1, 0, 98719, 13731201]$ \(y^2=x^3-x^2+98719x+13731201\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 120.24.0.?, $\ldots$
47040.f1 47040.f \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -63507201, -194775968799]$ \(y^2=x^3-x^2-63507201x-194775968799\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 140.12.0.?, $\ldots$
47040.f2 47040.f \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -5687201, -157376799]$ \(y^2=x^3-x^2-5687201x-157376799\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 140.12.0.?, $\ldots$
47040.f3 47040.f \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -3972201, -3037547799]$ \(y^2=x^3-x^2-3972201x-3037547799\) 2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.2, 84.12.0.?, 120.24.0.?, $\ldots$
47040.f4 47040.f \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -144076, -87594674]$ \(y^2=x^3-x^2-144076x-87594674\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 120.24.0.?, $\ldots$
47040.g1 47040.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -340321, -71826719]$ \(y^2=x^3-x^2-340321x-71826719\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.1, $\ldots$
47040.g2 47040.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -65921, 5169921]$ \(y^2=x^3-x^2-65921x+5169921\) 2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.2, $\ldots$
47040.g3 47040.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -62001, 5962545]$ \(y^2=x^3-x^2-62001x+5962545\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$
47040.g4 47040.g \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 145759, 31375905]$ \(y^2=x^3-x^2+145759x+31375905\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.4, $\ldots$
47040.h1 47040.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $13.43474752$ $[0, -1, 0, -12852961, -17730783839]$ \(y^2=x^3-x^2-12852961x-17730783839\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$
47040.h2 47040.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.717373763$ $[0, -1, 0, -847961, -244300839]$ \(y^2=x^3-x^2-847961x-244300839\) 2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.a.1, $\ldots$
47040.h3 47040.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $13.43474752$ $[0, -1, 0, -259716, 47586330]$ \(y^2=x^3-x^2-259716x+47586330\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, $\ldots$
47040.h4 47040.h \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $13.43474752$ $[0, -1, 0, 1745119, -1448008575]$ \(y^2=x^3-x^2+1745119x-1448008575\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$
47040.i1 47040.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -97281, 6534081]$ \(y^2=x^3-x^2-97281x+6534081\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 28.12.0-4.c.1.1, $\ldots$
47040.i2 47040.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, -1, 0, -44361, -3510135]$ \(y^2=x^3-x^2-44361x-3510135\) 2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$
47040.i3 47040.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -44116, -3551834]$ \(y^2=x^3-x^2-44116x-3551834\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$
47040.i4 47040.i \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 4639, -10889535]$ \(y^2=x^3-x^2+4639x-10889535\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$
47040.j1 47040.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -401, -2799]$ \(y^2=x^3-x^2-401x-2799\) 2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.?
47040.j2 47040.j \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 19, -195]$ \(y^2=x^3-x^2+19x-195\) 2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.?
47040.k1 47040.k \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $2$ $\mathsf{trivial}$ $0.884039158$ $[0, -1, 0, 159, 225]$ \(y^2=x^3-x^2+159x+225\) 40.2.0.a.1
47040.l1 47040.l \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $2.334849225$ $[0, -1, 0, -716641, 233749825]$ \(y^2=x^3-x^2-716641x+233749825\) 40.2.0.a.1
47040.m1 47040.m \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 3659, -635795]$ \(y^2=x^3-x^2+3659x-635795\) 6.2.0.a.1
47040.n1 47040.n \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, -796021, -181486955]$ \(y^2=x^3-x^2-796021x-181486955\) 2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.?
47040.n2 47040.n \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $[0, -1, 0, 2266479, -1242949455]$ \(y^2=x^3-x^2+2266479x-1242949455\) 2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.?
47040.o1 47040.o \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, -1381, 420925]$ \(y^2=x^3-x^2-1381x+420925\) 6.2.0.a.1
47040.p1 47040.p \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 1643199, -25552880415]$ \(y^2=x^3-x^2+1643199x-25552880415\) 40.2.0.a.1
47040.q1 47040.q \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.038919710$ $[0, -1, 0, -42401, -3344319]$ \(y^2=x^3-x^2-42401x-3344319\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$
47040.q2 47040.q \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.038919710$ $[0, -1, 0, -26721, 1670145]$ \(y^2=x^3-x^2-26721x+1670145\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$
47040.q3 47040.q \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.519459855$ $[0, -1, 0, -3201, -27999]$ \(y^2=x^3-x^2-3201x-27999\) 2.6.0.a.1, 24.12.0.b.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.b.1, $\ldots$
47040.q4 47040.q \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $3.038919710$ $[0, -1, 0, 719, -3695]$ \(y^2=x^3-x^2+719x-3695\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$
47040.r1 47040.r \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $2$ $\Z/2\Z$ $0.940063007$ $[0, -1, 0, -732321, 241456545]$ \(y^2=x^3-x^2-732321x+241456545\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.3, 28.12.0.h.1, $\ldots$
47040.r2 47040.r \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $2$ $\Z/2\Z$ $15.04100811$ $[0, -1, 0, -128641, -12956159]$ \(y^2=x^3-x^2-128641x-12956159\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.11, 42.6.0.a.1, $\ldots$
47040.r3 47040.r \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $3.760252028$ $[0, -1, 0, -46321, 3688945]$ \(y^2=x^3-x^2-46321x+3688945\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 28.12.0.a.1, $\ldots$
47040.r4 47040.r \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $2$ $\Z/2\Z$ $3.760252028$ $[0, -1, 0, 1699, 221901]$ \(y^2=x^3-x^2+1699x+221901\) 2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.2, 12.12.0.g.1, $\ldots$
47040.s1 47040.s \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $4.128630232$ $[0, -1, 0, -821, -8805]$ \(y^2=x^3-x^2-821x-8805\) 3.4.0.a.1, 6.8.0.b.1, 168.16.0.?
47040.s2 47040.s \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\mathsf{trivial}$ $1.376210077$ $[0, -1, 0, 19, -69]$ \(y^2=x^3-x^2+19x-69\) 3.4.0.a.1, 6.8.0.b.1, 168.16.0.?
47040.t1 47040.t \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 0, 140859, 23494941]$ \(y^2=x^3-x^2+140859x+23494941\) 6.2.0.a.1
47040.u1 47040.u \( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) $1$ $\Z/2\Z$ $15.54060372$ $[0, -1, 0, -16725921, -26323353279]$ \(y^2=x^3-x^2-16725921x-26323353279\) 2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$
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