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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
212415.a1 212415.a \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, -1, 1, -31376, 316532]$ \(y^2+y=x^3-x^2-31376x+316532\) 10.2.0.a.1
212415.b1 212415.b \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $2.605292455$ $[0, -1, 1, -89686, 17066496]$ \(y^2+y=x^3-x^2-89686x+17066496\) 6.2.0.a.1
212415.c1 212415.c \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $23.21584696$ $[0, -1, 1, -4077523060, 100218711667248]$ \(y^2+y=x^3-x^2-4077523060x+100218711667248\) 6.2.0.a.1
212415.d1 212415.d \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $2.367436523$ $[0, -1, 1, -13050, -568114]$ \(y^2+y=x^3-x^2-13050x-568114\) 10.2.0.a.1
212415.e1 212415.e \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $4.553177492$ $[0, -1, 1, -287940, -59374582]$ \(y^2+y=x^3-x^2-287940x-59374582\) 6.2.0.a.1
212415.f1 212415.f \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -83214756, -292206608494]$ \(y^2+y=x^3+x^2-83214756x-292206608494\) 6.2.0.a.1
212415.g1 212415.g \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -3771546, -2813771950]$ \(y^2+y=x^3+x^2-3771546x-2813771950\) 10.2.0.a.1
212415.h1 212415.h \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -14109076, 20393699680]$ \(y^2+y=x^3+x^2-14109076x+20393699680\) 6.2.0.a.1
212415.i1 212415.i \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $0.196551602$ $[0, 1, 1, -9067760, 1500716564]$ \(y^2+y=x^3+x^2-9067760x+1500716564\) 10.2.0.a.1
212415.j1 212415.j \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\mathsf{trivial}$ $1$ $[0, 1, 1, -4394630, -5845018966]$ \(y^2+y=x^3+x^2-4394630x-5845018966\) 6.2.0.a.1
212415.k1 212415.k \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $8.967184803$ $[1, 1, 1, -3017421, -2023108032]$ \(y^2+xy+y=x^3+x^2-3017421x-2023108032\) 20.2.0.a.1
212415.l1 212415.l \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $3.601733857$ $[1, 1, 1, -1961, -34252]$ \(y^2+xy+y=x^3+x^2-1961x-34252\) 20.2.0.a.1
212415.m1 212415.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -866667656, 9819989573078]$ \(y^2+xy+y=x^3+x^2-866667656x+9819989573078\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$
212415.m2 212415.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -67562426, 71772930074]$ \(y^2+xy+y=x^3+x^2-67562426x+71772930074\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 42.6.0.a.1, 56.12.0-4.c.1.5, $\ldots$
212415.m3 212415.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 1, 1, -54180281, 153339780278]$ \(y^2+xy+y=x^3+x^2-54180281x+153339780278\) 2.6.0.a.1, 12.12.0-2.a.1.2, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 84.24.0.?, $\ldots$
212415.m4 212415.m \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -2563436, 3588989564]$ \(y^2+xy+y=x^3+x^2-2563436x+3588989564\) 2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.5, 28.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$
212415.n1 212415.n \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $4.048666220$ $[1, 1, 1, -27770016, 56331265878]$ \(y^2+xy+y=x^3+x^2-27770016x+56331265878\) 20.2.0.a.1
212415.o1 212415.o \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -501761, 130638458]$ \(y^2+xy+y=x^3+x^2-501761x+130638458\) 2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?
212415.o2 212415.o \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, 18864, 7979208]$ \(y^2+xy+y=x^3+x^2+18864x+7979208\) 2.3.0.a.1, 140.6.0.?, 238.6.0.?, 340.6.0.?, 2380.12.0.?
212415.p1 212415.p \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\mathsf{trivial}$ $3.283102055$ $[1, 1, 1, -17796626, 28952797124]$ \(y^2+xy+y=x^3+x^2-17796626x+28952797124\) 20.2.0.a.1
212415.q1 212415.q \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.346667853$ $[1, 1, 1, -14373710, -16192114828]$ \(y^2+xy+y=x^3+x^2-14373710x-16192114828\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0.h.1, 120.24.0.?, $\ldots$
212415.q2 212415.q \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $3.173333926$ $[1, 1, 1, -4815035, 3850514912]$ \(y^2+xy+y=x^3+x^2-4815035x+3850514912\) 2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.6, 476.24.0.?, 7140.48.0.?
212415.q3 212415.q \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/4\Z$ $6.346667853$ $[1, 1, 1, -4744230, 3975386610]$ \(y^2+xy+y=x^3+x^2-4744230x+3975386610\) 2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 952.24.0.?, 3570.6.0.?, $\ldots$
212415.q4 212415.q \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.586666963$ $[1, 1, 1, 3610760, 15902772080]$ \(y^2+xy+y=x^3+x^2+3610760x+15902772080\) 2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 238.6.0.?, 476.24.0.?, $\ldots$
212415.r1 212415.r \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $3.405285588$ $[1, 1, 1, -2974105, 963200300]$ \(y^2+xy+y=x^3+x^2-2974105x+963200300\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?
212415.r2 212415.r \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $6.810571177$ $[1, 1, 1, 636950, 112435742]$ \(y^2+xy+y=x^3+x^2+636950x+112435742\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.?
212415.s1 212415.s \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $4.047628972$ $[1, 1, 1, -693997585, 6535068232412]$ \(y^2+xy+y=x^3+x^2-693997585x+6535068232412\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?
212415.s2 212415.s \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.095257944$ $[1, 1, 1, 43819670, 461061462350]$ \(y^2+xy+y=x^3+x^2+43819670x+461061462350\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.?
212415.t1 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.439857846$ $[1, 1, 1, -30588055, 65101484720]$ \(y^2+xy+y=x^3+x^2-30588055x+65101484720\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$
212415.t2 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.219928923$ $[1, 1, 1, -1912030, 1016304050]$ \(y^2+xy+y=x^3+x^2-1912030x+1016304050\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$
212415.t3 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.439857846$ $[1, 1, 1, -1558005, 1404740280]$ \(y^2+xy+y=x^3+x^2-1558005x+1404740280\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$
212415.t4 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.439857846$ $[1, 1, 1, -1133175, -464766618]$ \(y^2+xy+y=x^3+x^2-1133175x-464766618\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$
212415.t5 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $2.109964461$ $[1, 1, 1, -141905, 9456950]$ \(y^2+xy+y=x^3+x^2-141905x+9456950\) 2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$
212415.t6 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.219928923$ $[1, 1, 1, -71100, -7224708]$ \(y^2+xy+y=x^3+x^2-71100x-7224708\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$
212415.t7 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $8.439857846$ $[1, 1, 1, -295, -314140]$ \(y^2+xy+y=x^3+x^2-295x-314140\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$
212415.t8 212415.t \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.054982230$ $[1, 1, 1, 495340, 71652062]$ \(y^2+xy+y=x^3+x^2+495340x+71652062\) 2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$
212415.u1 212415.u \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $9.565052894$ $[1, 0, 0, -200565302071, 32108194182955526]$ \(y^2+xy=x^3-200565302071x+32108194182955526\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?
212415.u2 212415.u \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $4.782526447$ $[1, 0, 0, 12663884624, 2265106317334055]$ \(y^2+xy=x^3+12663884624x+2265106317334055\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.?
212415.v1 212415.v \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.159888188$ $[1, 0, 0, -10291, 195446]$ \(y^2+xy=x^3-10291x+195446\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.?
212415.v2 212415.v \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $1.079944094$ $[1, 0, 0, 2204, 23015]$ \(y^2+xy=x^3+2204x+23015\) 2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.?
212415.w1 212415.w \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $9.790938252$ $[1, 0, 0, -23875741, -44903895730]$ \(y^2+xy=x^3-23875741x-44903895730\) 2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.3, 56.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$
212415.w2 212415.w \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $2.447734563$ $[1, 0, 0, -7590591, 7482033180]$ \(y^2+xy=x^3-7590591x+7482033180\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.3, 136.12.0.?, $\ldots$
212415.w3 212415.w \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $4.895469126$ $[1, 0, 0, -1572166, -622377925]$ \(y^2+xy=x^3-1572166x-622377925\) 2.6.0.a.1, 20.12.0-2.a.1.2, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 140.24.0.?, $\ldots$
212415.w4 212415.w \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $1$ $\Z/2\Z$ $9.790938252$ $[1, 0, 0, 197959, -57000000]$ \(y^2+xy=x^3+197959x-57000000\) 2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.3, 68.12.0-4.c.1.2, $\ldots$
212415.x1 212415.x \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $2$ $\mathsf{trivial}$ $0.235366987$ $[1, 0, 0, -61580, 5889477]$ \(y^2+xy=x^3-61580x+5889477\) 20.2.0.a.1
212415.y1 212415.y \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $2$ $\Z/2\Z$ $26.37525410$ $[1, 0, 0, -328110665, 2287529094402]$ \(y^2+xy=x^3-328110665x+2287529094402\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 60.12.0.h.1, $\ldots$
212415.y2 212415.y \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $2$ $\Z/2\Z$ $6.593813525$ $[1, 0, 0, -81072020, -280968402975]$ \(y^2+xy=x^3-81072020x-280968402975\) 2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 168.48.0.?, 240.48.0.?, $\ldots$
212415.y3 212415.y \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $26.37525410$ $[1, 0, 0, -21170990, 33302733267]$ \(y^2+xy=x^3-21170990x+33302733267\) 2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 60.24.0.c.1, 120.48.0.?, $\ldots$
212415.y4 212415.y \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $2$ $\Z/2\Z\oplus\Z/2\Z$ $6.593813525$ $[1, 0, 0, -5239865, -4074872208]$ \(y^2+xy=x^3-5239865x-4074872208\) 2.6.0.a.1, 4.24.0-4.b.1.2, 120.48.0.?, 168.48.0.?, 280.48.0.?, $\ldots$
212415.y5 212415.y \( 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) $2$ $\Z/4\Z$ $6.593813525$ $[1, 0, 0, 495340, -332077425]$ \(y^2+xy=x^3+495340x-332077425\) 2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 238.6.0.?, 240.48.0.?, $\ldots$
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