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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
248256.a1 248256.a \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4029852, 3106763930]$ \(y^2=x^3-4029852x+3106763930\) 5.12.0.a.2, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$
248256.a2 248256.a \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -229332, -42263350]$ \(y^2=x^3-229332x-42263350\) 5.12.0.a.1, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$
248256.b1 248256.b \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.248082374$ $[0, 0, 0, -38172, 2911120]$ \(y^2=x^3-38172x+2911120\) 5172.2.0.?
248256.c1 248256.c \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $3.341547709$ $[0, 0, 0, -38172, -2911120]$ \(y^2=x^3-38172x-2911120\) 5172.2.0.?
248256.d1 248256.d \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -4029852, -3106763930]$ \(y^2=x^3-4029852x-3106763930\) 5.12.0.a.2, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$
248256.d2 248256.d \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -229332, 42263350]$ \(y^2=x^3-229332x+42263350\) 5.12.0.a.1, 120.24.0.?, 2586.2.0.?, 12930.24.1.?, 17240.24.0.?, $\ldots$
248256.e1 248256.e \( 2^{6} \cdot 3^{2} \cdot 431 \) $2$ $\mathsf{trivial}$ $4.817094889$ $[0, 0, 0, -1164, 221456]$ \(y^2=x^3-1164x+221456\) 862.2.0.?
248256.f1 248256.f \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $7.210675897$ $[0, 0, 0, -41484, -24026096]$ \(y^2=x^3-41484x-24026096\) 3.4.0.a.1, 24.8.0-3.a.1.4, 862.2.0.?, 2586.8.0.?, 10344.16.0.?
248256.f2 248256.f \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $2.403558632$ $[0, 0, 0, 4596, 875536]$ \(y^2=x^3+4596x+875536\) 3.4.0.a.1, 24.8.0-3.a.1.3, 862.2.0.?, 2586.8.0.?, 10344.16.0.?
248256.g1 248256.g \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $3.249318032$ $[0, 0, 0, -1884, -31664]$ \(y^2=x^3-1884x-31664\) 862.2.0.?
248256.h1 248256.h \( 2^{6} \cdot 3^{2} \cdot 431 \) $2$ $\mathsf{trivial}$ $9.484980147$ $[0, 0, 0, -5004, -136944]$ \(y^2=x^3-5004x-136944\) 862.2.0.?
248256.i1 248256.i \( 2^{6} \cdot 3^{2} \cdot 431 \) $2$ $\mathsf{trivial}$ $2.869990371$ $[0, 0, 0, -5004, 136944]$ \(y^2=x^3-5004x+136944\) 862.2.0.?
248256.j1 248256.j \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.778863093$ $[0, 0, 0, -41484, 24026096]$ \(y^2=x^3-41484x+24026096\) 3.4.0.a.1, 24.8.0-3.a.1.2, 862.2.0.?, 2586.8.0.?, 10344.16.0.?
248256.j2 248256.j \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $5.336589281$ $[0, 0, 0, 4596, -875536]$ \(y^2=x^3+4596x-875536\) 3.4.0.a.1, 24.8.0-3.a.1.1, 862.2.0.?, 2586.8.0.?, 10344.16.0.?
248256.k1 248256.k \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.381389180$ $[0, 0, 0, -1884, 31664]$ \(y^2=x^3-1884x+31664\) 862.2.0.?
248256.l1 248256.l \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -1164, -221456]$ \(y^2=x^3-1164x-221456\) 862.2.0.?
248256.m1 248256.m \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $12.45560335$ $[0, 0, 0, -35748876, 82270038544]$ \(y^2=x^3-35748876x+82270038544\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 2586.6.0.?, $\ldots$
248256.m2 248256.m \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $3.113900839$ $[0, 0, 0, -2312076, 1191179536]$ \(y^2=x^3-2312076x+1191179536\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$
248256.m3 248256.m \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $6.227801679$ $[0, 0, 0, -2234316, 1285455760]$ \(y^2=x^3-2234316x+1285455760\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 1724.12.0.?, $\ldots$
248256.m4 248256.m \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $3.113900839$ $[0, 0, 0, -134796, 21544720]$ \(y^2=x^3-134796x+21544720\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 862.6.0.?, $\ldots$
248256.n1 248256.n \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $0.843837662$ $[0, 0, 0, -246, 974]$ \(y^2=x^3-246x+974\) 2586.2.0.?
248256.o1 248256.o \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $3.381242089$ $[0, 0, 0, -2265996, -1312915696]$ \(y^2=x^3-2265996x-1312915696\) 5172.2.0.?
248256.p1 248256.p \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, 249, -3004]$ \(y^2=x^3+249x-3004\) 5172.2.0.?
248256.q1 248256.q \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.156019049$ $[0, 0, 0, -216, -486]$ \(y^2=x^3-216x-486\) 2586.2.0.?
248256.r1 248256.r \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -160716, -24709520]$ \(y^2=x^3-160716x-24709520\) 2.3.0.a.1, 24.6.0.a.1, 1724.6.0.?, 10344.12.0.?
248256.r2 248256.r \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -5196, -759440]$ \(y^2=x^3-5196x-759440\) 2.3.0.a.1, 24.6.0.d.1, 862.6.0.?, 10344.12.0.?
248256.s1 248256.s \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.019781149$ $[0, 0, 0, 1524, -35824]$ \(y^2=x^3+1524x-35824\) 5172.2.0.?
248256.t1 248256.t \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $9.296882659$ $[0, 0, 0, -42447756, 106444979984]$ \(y^2=x^3-42447756x+106444979984\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$
248256.t2 248256.t \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $37.18753063$ $[0, 0, 0, -10191756, -10829062384]$ \(y^2=x^3-10191756x-10829062384\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$
248256.t3 248256.t \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $18.59376531$ $[0, 0, 0, -2726796, 1565757200]$ \(y^2=x^3-2726796x+1565757200\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 1724.12.0.?, $\ldots$
248256.t4 248256.t \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $9.296882659$ $[0, 0, 0, 222324, 120688400]$ \(y^2=x^3+222324x+120688400\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 862.6.0.?, $\ldots$
248256.u1 248256.u \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $54.38343680$ $[0, 0, 0, -42447756, -106444979984]$ \(y^2=x^3-42447756x-106444979984\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$
248256.u2 248256.u \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $13.59585920$ $[0, 0, 0, -10191756, 10829062384]$ \(y^2=x^3-10191756x+10829062384\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$
248256.u3 248256.u \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $27.19171840$ $[0, 0, 0, -2726796, -1565757200]$ \(y^2=x^3-2726796x-1565757200\) 2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 1724.12.0.?, $\ldots$
248256.u4 248256.u \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $13.59585920$ $[0, 0, 0, 222324, -120688400]$ \(y^2=x^3+222324x-120688400\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 862.6.0.?, $\ldots$
248256.v1 248256.v \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $3.383752310$ $[0, 0, 0, 1524, 35824]$ \(y^2=x^3+1524x+35824\) 5172.2.0.?
248256.w1 248256.w \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -160716, 24709520]$ \(y^2=x^3-160716x+24709520\) 2.3.0.a.1, 24.6.0.a.1, 1724.6.0.?, 10344.12.0.?
248256.w2 248256.w \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -5196, 759440]$ \(y^2=x^3-5196x+759440\) 2.3.0.a.1, 24.6.0.d.1, 862.6.0.?, 10344.12.0.?
248256.x1 248256.x \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $2.389874365$ $[0, 0, 0, -216, 486]$ \(y^2=x^3-216x+486\) 2586.2.0.?
248256.y1 248256.y \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $2.052549466$ $[0, 0, 0, 249, 3004]$ \(y^2=x^3+249x+3004\) 5172.2.0.?
248256.z1 248256.z \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.961823581$ $[0, 0, 0, -2265996, 1312915696]$ \(y^2=x^3-2265996x+1312915696\) 5172.2.0.?
248256.ba1 248256.ba \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -246, -974]$ \(y^2=x^3-246x-974\) 2586.2.0.?
248256.bb1 248256.bb \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $78.21677366$ $[0, 0, 0, -35748876, -82270038544]$ \(y^2=x^3-35748876x-82270038544\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 2586.6.0.?, $\ldots$
248256.bb2 248256.bb \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $19.55419341$ $[0, 0, 0, -2312076, -1191179536]$ \(y^2=x^3-2312076x-1191179536\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$
248256.bb3 248256.bb \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $39.10838683$ $[0, 0, 0, -2234316, -1285455760]$ \(y^2=x^3-2234316x-1285455760\) 2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 1724.12.0.?, $\ldots$
248256.bb4 248256.bb \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\Z/2\Z$ $19.55419341$ $[0, 0, 0, -134796, -21544720]$ \(y^2=x^3-134796x-21544720\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 862.6.0.?, $\ldots$
248256.bc1 248256.bc \( 2^{6} \cdot 3^{2} \cdot 431 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -228, -2176]$ \(y^2=x^3-228x-2176\) 862.2.0.?
248256.bd1 248256.bd \( 2^{6} \cdot 3^{2} \cdot 431 \) $2$ $\mathsf{trivial}$ $2.722000343$ $[0, 0, 0, -73908, 7733664]$ \(y^2=x^3-73908x+7733664\) 862.2.0.?
248256.be1 248256.be \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $1.406046561$ $[0, 0, 0, 852, 25904]$ \(y^2=x^3+852x+25904\) 862.2.0.?
248256.bf1 248256.bf \( 2^{6} \cdot 3^{2} \cdot 431 \) $1$ $\mathsf{trivial}$ $8.378183352$ $[0, 0, 0, -40428, -3130704]$ \(y^2=x^3-40428x-3130704\) 862.2.0.?
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