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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
28314.a1 28314.a \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -32837184, -72414588416]$ \(y^2+xy=x^3-x^2-32837184x-72414588416\) 2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.?
28314.a2 28314.a \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -2170944, -992915456]$ \(y^2+xy=x^3-x^2-2170944x-992915456\) 2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.?
28314.b1 28314.b \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $2.332432206$ $[1, -1, 0, -113241321, 463855087053]$ \(y^2+xy=x^3-x^2-113241321x+463855087053\) 3.4.0.a.1, 33.8.0-3.a.1.1, 312.8.0.?, 1144.2.0.?, 3432.16.0.?
28314.b2 28314.b \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $6.997296618$ $[1, -1, 0, -87905736, 676853506368]$ \(y^2+xy=x^3-x^2-87905736x+676853506368\) 3.4.0.a.1, 33.8.0-3.a.1.2, 312.8.0.?, 1144.2.0.?, 3432.16.0.?
28314.c1 28314.c \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.885492332$ $[1, -1, 0, -7101, 1539621]$ \(y^2+xy=x^3-x^2-7101x+1539621\) 3.4.0.a.1, 33.8.0-3.a.1.1, 312.8.0.?, 1144.2.0.?, 3432.16.0.?
28314.c2 28314.c \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $5.656476997$ $[1, -1, 0, 63684, -40719024]$ \(y^2+xy=x^3-x^2+63684x-40719024\) 3.4.0.a.1, 33.8.0-3.a.1.2, 312.8.0.?, 1144.2.0.?, 3432.16.0.?
28314.d1 28314.d \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.266280198$ $[1, -1, 0, -22585338, 41318763844]$ \(y^2+xy=x^3-x^2-22585338x+41318763844\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 44.12.0-4.c.1.1, 104.12.0.?, $\ldots$
28314.d2 28314.d \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.065120795$ $[1, -1, 0, -2547738, -530234204]$ \(y^2+xy=x^3-x^2-2547738x-530234204\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 52.12.0.g.1, $\ldots$
28314.d3 28314.d \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.532560397$ $[1, -1, 0, -1415178, 642418420]$ \(y^2+xy=x^3-x^2-1415178x+642418420\) 2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 52.12.0.b.1, 132.24.0.?, $\ldots$
28314.d4 28314.d \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.266280198$ $[1, -1, 0, -21258, 24911860]$ \(y^2+xy=x^3-x^2-21258x+24911860\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 78.6.0.?, $\ldots$
28314.e1 28314.e \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.611998479$ $[1, -1, 0, 522, -162486]$ \(y^2+xy=x^3-x^2+522x-162486\) 312.2.0.?
28314.f1 28314.f \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $3.413332098$ $[1, -1, 0, -146493, 21166789]$ \(y^2+xy=x^3-x^2-146493x+21166789\) 26.2.0.a.1
28314.g1 28314.g \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $0.976973084$ $[1, -1, 0, -468, 3350]$ \(y^2+xy=x^3-x^2-468x+3350\) 2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.?
28314.g2 28314.g \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $0.976973084$ $[1, -1, 0, -138, -544]$ \(y^2+xy=x^3-x^2-138x-544\) 2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?
28314.h1 28314.h \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $29.20560603$ $[1, -1, 0, -5439033, -4881005915]$ \(y^2+xy=x^3-x^2-5439033x-4881005915\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 104.12.0.?, $\ldots$
28314.h2 28314.h \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $1.825350377$ $[1, -1, 0, -821673, 181554709]$ \(y^2+xy=x^3-x^2-821673x+181554709\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$
28314.h3 28314.h \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $7.301401508$ $[1, -1, 0, -342513, -74987555]$ \(y^2+xy=x^3-x^2-342513x-74987555\) 2.6.0.a.1, 12.12.0-2.a.1.1, 88.12.0.?, 104.12.0.?, 264.24.0.?, $\ldots$
28314.h4 28314.h \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $2$ $\Z/2\Z$ $7.301401508$ $[1, -1, 0, 5967, -3967331]$ \(y^2+xy=x^3-x^2+5967x-3967331\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$
28314.i1 28314.i \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.592526197$ $[1, -1, 0, -112008, -13779584]$ \(y^2+xy=x^3-x^2-112008x-13779584\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
28314.i2 28314.i \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.185052394$ $[1, -1, 0, 4152, -839360]$ \(y^2+xy=x^3-x^2+4152x-839360\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
28314.j1 28314.j \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -468, -20696]$ \(y^2+xy=x^3-x^2-468x-20696\) 312.2.0.?
28314.k1 28314.k \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $5.577939594$ $[1, -1, 0, -43137, -2996163]$ \(y^2+xy=x^3-x^2-43137x-2996163\) 3.4.0.a.1, 26.2.0.a.1, 33.8.0-3.a.1.2, 78.8.0.?, 858.16.0.?
28314.k2 28314.k \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.859313198$ $[1, -1, 0, -10962, 443988]$ \(y^2+xy=x^3-x^2-10962x+443988\) 3.4.0.a.1, 26.2.0.a.1, 33.8.0-3.a.1.1, 78.8.0.?, 858.16.0.?
28314.l1 28314.l \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $3.234532193$ $[1, -1, 0, 1248, -8090]$ \(y^2+xy=x^3-x^2+1248x-8090\) 312.2.0.?
28314.m1 28314.m \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -4708512, 3501830272]$ \(y^2+xy=x^3-x^2-4708512x+3501830272\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.?
28314.m2 28314.m \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 423648, 279860224]$ \(y^2+xy=x^3-x^2+423648x+279860224\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.?
28314.n1 28314.n \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -98577, 5767119]$ \(y^2+xy=x^3-x^2-98577x+5767119\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 572.6.0.?, 1144.12.0.?
28314.n2 28314.n \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, 21213, 664065]$ \(y^2+xy=x^3-x^2+21213x+664065\) 2.3.0.a.1, 88.6.0.?, 104.6.0.?, 286.6.0.?, 1144.12.0.?
28314.o1 28314.o \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -405312, -73390960]$ \(y^2+xy=x^3-x^2-405312x-73390960\) 2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.?
28314.o2 28314.o \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -143952, 20123648]$ \(y^2+xy=x^3-x^2-143952x+20123648\) 2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.?
28314.p1 28314.p \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, 93, -181]$ \(y^2+xy=x^3-x^2+93x-181\) 312.2.0.?
28314.q1 28314.q \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\Z/3\Z$ $1$ $[1, -1, 0, -22347, 1291329]$ \(y^2+xy=x^3-x^2-22347x+1291329\) 3.8.0-3.a.1.2, 26.2.0.a.1, 78.16.0.?
28314.q2 28314.q \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -567, -2403]$ \(y^2+xy=x^3-x^2-567x-2403\) 3.8.0-3.a.1.1, 26.2.0.a.1, 78.16.0.?
28314.r1 28314.r \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.721422911$ $[1, -1, 0, -70976142, -230111392428]$ \(y^2+xy=x^3-x^2-70976142x-230111392428\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 33.8.0-3.a.1.2, $\ldots$
28314.r2 28314.r \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $11.44284582$ $[1, -1, 0, -4067982, -4216062636]$ \(y^2+xy=x^3-x^2-4067982x-4216062636\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 33.8.0-3.a.1.2, $\ldots$
28314.r3 28314.r \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.907140970$ $[1, -1, 0, -1960767, 602589213]$ \(y^2+xy=x^3-x^2-1960767x+602589213\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 33.8.0-3.a.1.1, $\ldots$
28314.r4 28314.r \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.814281940$ $[1, -1, 0, 391473, 67689837]$ \(y^2+xy=x^3-x^2+391473x+67689837\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 33.8.0-3.a.1.1, $\ldots$
28314.s1 28314.s \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -36504, 2700616]$ \(y^2+xy=x^3-x^2-36504x+2700616\) 104.2.0.?
28314.t1 28314.t \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $1.265931223$ $[1, -1, 0, 291, -379]$ \(y^2+xy=x^3-x^2+291x-379\) 1144.2.0.?
28314.u1 28314.u \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.862594623$ $[1, -1, 0, -126891, -17363241]$ \(y^2+xy=x^3-x^2-126891x-17363241\) 2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.?
28314.u2 28314.u \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $3.725189247$ $[1, -1, 0, -7101, -329103]$ \(y^2+xy=x^3-x^2-7101x-329103\) 2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.?
28314.v1 28314.v \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\mathsf{trivial}$ $0.665452414$ $[1, -1, 0, -666, 6804]$ \(y^2+xy=x^3-x^2-666x+6804\) 312.2.0.?
28314.w1 28314.w \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $10.57012433$ $[1, -1, 0, -509856, 116310662]$ \(y^2+xy=x^3-x^2-509856x+116310662\) 2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.?
28314.w2 28314.w \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $5.285062166$ $[1, -1, 0, -150486, -20753056]$ \(y^2+xy=x^3-x^2-150486x-20753056\) 2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.?
28314.x1 28314.x \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $47.05015479$ $[1, -1, 0, -16326705291, -802959676523515]$ \(y^2+xy=x^3-x^2-16326705291x-802959676523515\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
28314.x2 28314.x \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $94.10030958$ $[1, -1, 0, -1020418251, -12546075035323]$ \(y^2+xy=x^3-x^2-1020418251x-12546075035323\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
28314.y1 28314.y \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $0.991509384$ $[1, -1, 0, -68811, 6960905]$ \(y^2+xy=x^3-x^2-68811x+6960905\) 2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.?
28314.y2 28314.y \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $1$ $\Z/2\Z$ $1.983018769$ $[1, -1, 0, -3471, 152477]$ \(y^2+xy=x^3-x^2-3471x+152477\) 2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.?
28314.z1 28314.z \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -46998, -6351372]$ \(y^2+xy=x^3-x^2-46998x-6351372\) 1144.2.0.?
28314.ba1 28314.ba \( 2 \cdot 3^{2} \cdot 11^{2} \cdot 13 \) $0$ $\mathsf{trivial}$ $1$ $[1, -1, 0, -231138, 42858778]$ \(y^2+xy=x^3-x^2-231138x+42858778\) 1144.2.0.?
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