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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
85680.a1 85680.a \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $2.240322639$ $[0, 0, 0, -7782843, 7968257642]$ \(y^2=x^3-7782843x+7968257642\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
85680.a2 85680.a \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $4.480645278$ $[0, 0, 0, 317157, 495197642]$ \(y^2=x^3+317157x+495197642\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
85680.b1 85680.b \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $8.879121488$ $[0, 0, 0, -986823, 374160978]$ \(y^2=x^3-986823x+374160978\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 84.48.0.?, $\ldots$
85680.b2 85680.b \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $4.439560744$ $[0, 0, 0, -984528, 376002027]$ \(y^2=x^3-984528x+376002027\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 42.24.0.c.1, $\ldots$
85680.b3 85680.b \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $2.959707162$ $[0, 0, 0, -87183, -9612118]$ \(y^2=x^3-87183x-9612118\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 84.48.0.?, $\ldots$
85680.b4 85680.b \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $1.479853581$ $[0, 0, 0, -13488, 395663]$ \(y^2=x^3-13488x+395663\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 42.24.0.c.1, $\ldots$
85680.c1 85680.c \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $4.152237093$ $[0, 0, 0, -4650483, 3858992818]$ \(y^2=x^3-4650483x+3858992818\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$
85680.c2 85680.c \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.076118546$ $[0, 0, 0, -330483, 42704818]$ \(y^2=x^3-330483x+42704818\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 476.12.0.?, $\ldots$
85680.c3 85680.c \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $4.152237093$ $[0, 0, 0, -146163, -21033038]$ \(y^2=x^3-146163x-21033038\) 2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$
85680.c4 85680.c \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $4.152237093$ $[0, 0, 0, 1040397, 305639602]$ \(y^2=x^3+1040397x+305639602\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$
85680.d1 85680.d \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $3.125868717$ $[0, 0, 0, -119388, 9920563]$ \(y^2=x^3-119388x+9920563\) 2.3.0.a.1, 42.6.0.a.1, 68.6.0.b.1, 1428.12.0.?
85680.d2 85680.d \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $6.251737435$ $[0, 0, 0, 358737, 69494938]$ \(y^2=x^3+358737x+69494938\) 2.3.0.a.1, 68.6.0.a.1, 84.6.0.?, 1428.12.0.?
85680.e1 85680.e \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3884403, -2946690542]$ \(y^2=x^3-3884403x-2946690542\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$
85680.e2 85680.e \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -252003, 48561298]$ \(y^2=x^3-252003x+48561298\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$
85680.e3 85680.e \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -243003, -45951302]$ \(y^2=x^3-243003x-45951302\) 2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0-4.b.1.8, 56.24.0-4.b.1.2, $\ldots$
85680.e4 85680.e \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -129603, -88975262]$ \(y^2=x^3-129603x-88975262\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$
85680.e5 85680.e \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[0, 0, 0, -22503, 44998]$ \(y^2=x^3-22503x+44998\) 2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0-4.b.1.7, 56.24.0-4.b.1.3, $\ldots$
85680.e6 85680.e \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 5622, 5623]$ \(y^2=x^3+5622x+5623\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$
85680.f1 85680.f \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $7.971899811$ $[0, 0, 0, -812191323, 8909136883978]$ \(y^2=x^3-812191323x+8909136883978\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0-4.c.1.2, 204.24.0.?, $\ldots$
85680.f2 85680.f \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.985949905$ $[0, 0, 0, -50765403, 139185422602]$ \(y^2=x^3-50765403x+139185422602\) 2.6.0.a.1, 12.12.0-2.a.1.1, 68.12.0-2.a.1.1, 140.12.0.?, 204.24.0.?, $\ldots$
85680.f3 85680.f \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $7.971899811$ $[0, 0, 0, -44314203, 175863075082]$ \(y^2=x^3-44314203x+175863075082\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 70.6.0.a.1, 136.12.0.?, $\ldots$
85680.f4 85680.f \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $7.971899811$ $[0, 0, 0, -3579483, 1581842698]$ \(y^2=x^3-3579483x+1581842698\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 68.12.0-4.c.1.1, 280.12.0.?, $\ldots$
85680.g1 85680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $6.061030526$ $[0, 0, 0, -10330563, -12755312638]$ \(y^2=x^3-10330563x-12755312638\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.2, 24.48.0-8.bb.2.5, $\ldots$
85680.g2 85680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.030515263$ $[0, 0, 0, -880563, -41282638]$ \(y^2=x^3-880563x-41282638\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.3, 24.48.0-8.e.1.9, $\ldots$
85680.g3 85680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $1.515257631$ $[0, 0, 0, -563043, 161866658]$ \(y^2=x^3-563043x+161866658\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 12.24.0-4.b.1.1, 24.48.0-8.e.2.1, $\ldots$
85680.g4 85680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $0.757628815$ $[0, 0, 0, -562323, 162303122]$ \(y^2=x^3-562323x+162303122\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.1, $\ldots$
85680.g5 85680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $3.030515263$ $[0, 0, 0, -257043, 337082258]$ \(y^2=x^3-257043x+337082258\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 24.48.0-8.bb.1.1, $\ldots$
85680.g6 85680.g \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $6.061030526$ $[0, 0, 0, 3489117, -328807582]$ \(y^2=x^3+3489117x-328807582\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$
85680.h1 85680.h \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -638508, -327059332]$ \(y^2=x^3-638508x-327059332\) 1190.2.0.?
85680.i1 85680.i \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -147468, 21272267]$ \(y^2=x^3-147468x+21272267\) 2.3.0.a.1, 4.6.0.b.1, 168.12.0.?, 170.6.0.?, 340.24.0.?, $\ldots$
85680.i2 85680.i \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 31137, 69531338]$ \(y^2=x^3+31137x+69531338\) 2.3.0.a.1, 4.6.0.a.1, 168.12.0.?, 340.12.0.?, 680.24.0.?, $\ldots$
85680.j1 85680.j \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\mathsf{trivial}$ $1$ $[0, 0, 0, -75102348, 571386048172]$ \(y^2=x^3-75102348x+571386048172\) 1190.2.0.?
85680.k1 85680.k \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\mathsf{trivial}$ $1.960413611$ $[0, 0, 0, -48, 2032]$ \(y^2=x^3-48x+2032\) 1190.2.0.?
85680.l1 85680.l \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -62985243, 192400558058]$ \(y^2=x^3-62985243x+192400558058\) 2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?
85680.l2 85680.l \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -3936243, 3006795458]$ \(y^2=x^3-3936243x+3006795458\) 2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.?
85680.m1 85680.m \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2352423, 1188289622]$ \(y^2=x^3-2352423x+1188289622\) 2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.?
85680.m2 85680.m \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2256798, 1304894747]$ \(y^2=x^3-2256798x+1304894747\) 2.3.0.a.1, 42.6.0.a.1, 340.6.0.?, 7140.12.0.?
85680.n1 85680.n \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -74703, -7502402]$ \(y^2=x^3-74703x-7502402\) 2.3.0.a.1, 42.6.0.a.1, 340.6.0.?, 7140.12.0.?
85680.n2 85680.n \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -73758, -7710113]$ \(y^2=x^3-73758x-7710113\) 2.3.0.a.1, 84.6.0.?, 170.6.0.?, 7140.12.0.?
85680.o1 85680.o \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $8.093981825$ $[0, 0, 0, -27165963, -46367463238]$ \(y^2=x^3-27165963x-46367463238\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 28.12.0-4.c.1.2, 40.12.0.ba.1, $\ldots$
85680.o2 85680.o \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.046990912$ $[0, 0, 0, -7570443, 7320342458]$ \(y^2=x^3-7570443x+7320342458\) 2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 28.12.0-2.a.1.1, 60.24.0-20.a.1.2, $\ldots$
85680.o3 85680.o \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $2.023495456$ $[0, 0, 0, -7386123, 7726251962]$ \(y^2=x^3-7386123x+7726251962\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.1, 40.12.0.ba.1, $\ldots$
85680.o4 85680.o \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $1$ $\Z/2\Z$ $8.093981825$ $[0, 0, 0, 9075957, 35029939898]$ \(y^2=x^3+9075957x+35029939898\) 2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$
85680.p1 85680.p \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $2$ $\Z/2\Z$ $0.886761960$ $[0, 0, 0, -363, 1962]$ \(y^2=x^3-363x+1962\) 2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.?
85680.p2 85680.p \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $2$ $\Z/2\Z$ $3.547047843$ $[0, 0, 0, 57, 198]$ \(y^2=x^3+57x+198\) 2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.?
85680.q1 85680.q \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -42130443, 99361032122]$ \(y^2=x^3-42130443x+99361032122\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 30.24.0-6.a.1.4, $\ldots$
85680.q2 85680.q \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -41471643, 102795706442]$ \(y^2=x^3-41471643x+102795706442\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 30.24.0-6.a.1.3, $\ldots$
85680.q3 85680.q \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -2591643, 1606618442]$ \(y^2=x^3-2591643x+1606618442\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 60.48.0-60.s.1.13, $\ldots$
85680.q4 85680.q \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, 2106357, 6525683642]$ \(y^2=x^3+2106357x+6525683642\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 60.48.0-60.s.1.14, $\ldots$
85680.r1 85680.r \( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) $0$ $\Z/2\Z$ $1$ $[0, 0, 0, -70608, -7172737]$ \(y^2=x^3-70608x-7172737\) 2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 84.48.0.?, $\ldots$
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