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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
77658.a1 77658.a \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -106014302, 420096575550]$ \(y^2+xy=x^3+x^2-106014302x+420096575550\) 8.2.0.a.1
77658.b1 77658.b \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $2.520147775$ $[1, 1, 0, -7434, -188706]$ \(y^2+xy=x^3+x^2-7434x-188706\) 7224.2.0.?
77658.c1 77658.c \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.338730372$ $[1, 1, 0, 763599, 404326269]$ \(y^2+xy=x^3+x^2+763599x+404326269\) 8.2.0.a.1
77658.d1 77658.d \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -302715, 64113021]$ \(y^2+xy=x^3+x^2-302715x+64113021\) 3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.?
77658.d2 77658.d \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 6885, 446877]$ \(y^2+xy=x^3+x^2+6885x+446877\) 3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 129.8.0.?, 1032.16.0.?
77658.e1 77658.e \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $6.065968750$ $[1, 1, 0, -1780625, -1732344849]$ \(y^2+xy=x^3+x^2-1780625x-1732344849\) 8.2.0.a.1
77658.f1 77658.f \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $3.155469519$ $[1, 1, 0, -7735, 258709]$ \(y^2+xy=x^3+x^2-7735x+258709\) 168.2.0.?
77658.g1 77658.g \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $10.31169403$ $[1, 1, 0, -5835482, 2712971028]$ \(y^2+xy=x^3+x^2-5835482x+2712971028\) 7224.2.0.?
77658.h1 77658.h \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -18159067, -29695274777]$ \(y^2+xy=x^3+x^2-18159067x-29695274777\) 7224.2.0.?
77658.i1 77658.i \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $9.631325662$ $[1, 1, 0, -10685409, -13672229067]$ \(y^2+xy=x^3+x^2-10685409x-13672229067\) 8.2.0.a.1
77658.j1 77658.j \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, 843106, -25321833228]$ \(y^2+xy=x^3+x^2+843106x-25321833228\) 8.2.0.a.1
77658.k1 77658.k \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -47624731, -25636634723]$ \(y^2+xy=x^3+x^2-47624731x-25636634723\) 7224.2.0.?
77658.l1 77658.l \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $5.774504485$ $[1, 1, 0, -179391, -26875323]$ \(y^2+xy=x^3+x^2-179391x-26875323\) 7224.2.0.?
77658.m1 77658.m \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -83195793, -124567320555]$ \(y^2+xy=x^3+x^2-83195793x-124567320555\) 2.3.0.a.1, 84.6.0.?, 172.6.0.?, 3612.12.0.?
77658.m2 77658.m \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, 18573167, -14758612715]$ \(y^2+xy=x^3+x^2+18573167x-14758612715\) 2.3.0.a.1, 84.6.0.?, 172.6.0.?, 1806.6.0.?, 3612.12.0.?
77658.n1 77658.n \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 0, -129468, -795639600]$ \(y^2+xy=x^3+x^2-129468x-795639600\) 8.2.0.a.1
77658.o1 77658.o \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -3077390585, -39130754228068]$ \(y^2+xy+y=x^3-3077390585x-39130754228068\) 7224.2.0.?
77658.p1 77658.p \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -20320549, 31362358928]$ \(y^2+xy+y=x^3-20320549x+31362358928\) 7224.2.0.?
77658.q1 77658.q \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z$ $2.517429648$ $[1, 0, 1, -1577236, 746391350]$ \(y^2+xy+y=x^3-1577236x+746391350\) 2.3.0.a.1, 28.6.0.c.1, 172.6.0.?, 1204.12.0.?
77658.q2 77658.q \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z$ $5.034859297$ $[1, 0, 1, 12904, 36552854]$ \(y^2+xy+y=x^3+12904x+36552854\) 2.3.0.a.1, 14.6.0.b.1, 172.6.0.?, 1204.12.0.?
77658.r1 77658.r \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.935917014$ $[1, 0, 1, -9731326, -19297327048]$ \(y^2+xy+y=x^3-9731326x-19297327048\) 3.8.0-3.a.1.1, 168.16.0.?
77658.r2 77658.r \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/3\Z$ $5.807751042$ $[1, 0, 1, 1002119, 465091886]$ \(y^2+xy+y=x^3+1002119x+465091886\) 3.8.0-3.a.1.2, 168.16.0.?
77658.s1 77658.s \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 1, -667528, 209397374]$ \(y^2+xy+y=x^3-667528x+209397374\) 7224.2.0.?
77658.t1 77658.t \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -2485095, -1508072162]$ \(y^2+xy+y=x^3-2485095x-1508072162\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$
77658.t2 77658.t \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -1690025, 837384338]$ \(y^2+xy+y=x^3-1690025x+837384338\) 2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 172.12.0.?, $\ldots$
77658.t3 77658.t \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -192335, -11506354]$ \(y^2+xy+y=x^3-192335x-11506354\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 56.96.1.bp.2, 172.24.0.?, $\ldots$
77658.t4 77658.t \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $[1, 0, 1, -155355, -23561834]$ \(y^2+xy+y=x^3-155355x-23561834\) 2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 56.96.1.by.1, $\ldots$
77658.t5 77658.t \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -7435, -545482]$ \(y^2+xy+y=x^3-7435x-545482\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$
77658.t6 77658.t \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 713675, -88698406]$ \(y^2+xy+y=x^3+713675x-88698406\) 2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 56.48.0.bc.1, $\ldots$
77658.u1 77658.u \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $22.10810922$ $[1, 0, 1, -10885102, -13820663008]$ \(y^2+xy+y=x^3-10885102x-13820663008\) 7224.2.0.?
77658.v1 77658.v \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.062547991$ $[1, 1, 1, -245133987, 1477145848257]$ \(y^2+xy+y=x^3+x^2-245133987x+1477145848257\) 3.4.0.a.1, 9.12.0.a.1, 129.8.0.?, 168.8.0.?, 387.24.0.?, $\ldots$
77658.v2 77658.v \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $6.187643973$ $[1, 1, 1, -3035172, 2012723757]$ \(y^2+xy+y=x^3+x^2-3035172x+2012723757\) 3.12.0.a.1, 129.24.0.?, 168.24.0.?, 2709.72.0.?, 7224.48.1.?, $\ldots$
77658.v3 77658.v \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $18.56293191$ $[1, 1, 1, -289407, -58581513]$ \(y^2+xy+y=x^3+x^2-289407x-58581513\) 3.4.0.a.1, 9.12.0.a.1, 129.8.0.?, 168.8.0.?, 387.24.0.?, $\ldots$
77658.w1 77658.w \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $2.710215021$ $[1, 1, 1, -11875241, 9175768247]$ \(y^2+xy+y=x^3+x^2-11875241x+9175768247\) 7224.2.0.?
77658.x1 77658.x \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $1.194093876$ $[1, 1, 1, -361, -2785]$ \(y^2+xy+y=x^3+x^2-361x-2785\) 7224.2.0.?
77658.y1 77658.y \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $4.359483188$ $[1, 1, 1, -5263, 240509]$ \(y^2+xy+y=x^3+x^2-5263x+240509\) 3.4.0.a.1, 129.8.0.?, 168.8.0.?, 7224.16.0.?
77658.y2 77658.y \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $13.07844956$ $[1, 1, 1, 542, -5623]$ \(y^2+xy+y=x^3+x^2+542x-5623\) 3.4.0.a.1, 129.8.0.?, 168.8.0.?, 7224.16.0.?
77658.z1 77658.z \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -27116548, -54361200571]$ \(y^2+xy+y=x^3+x^2-27116548x-54361200571\) 2.3.0.a.1, 28.6.0.c.1, 172.6.0.?, 1204.12.0.?
77658.z2 77658.z \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\Z/2\Z$ $1$ $[1, 1, 1, -1674308, -871435195]$ \(y^2+xy+y=x^3+x^2-1674308x-871435195\) 2.3.0.a.1, 14.6.0.b.1, 172.6.0.?, 1204.12.0.?
77658.ba1 77658.ba \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z$ $18.44414336$ $[1, 1, 1, -1713137, -863480797]$ \(y^2+xy+y=x^3+x^2-1713137x-863480797\) 2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 172.24.0.?, 7224.48.0.?
77658.ba2 77658.ba \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z$ $18.44414336$ $[1, 1, 1, -899577, 321565491]$ \(y^2+xy+y=x^3+x^2-899577x+321565491\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 84.12.0.?, $\ldots$
77658.ba3 77658.ba \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $9.222071683$ $[1, 1, 1, -122997, -9257589]$ \(y^2+xy+y=x^3+x^2-122997x-9257589\) 2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 172.24.0.?, 3612.48.0.?
77658.ba4 77658.ba \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/4\Z$ $18.44414336$ $[1, 1, 1, 24923, -1033237]$ \(y^2+xy+y=x^3+x^2+24923x-1033237\) 2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 344.24.0.?, 1806.6.0.?, $\ldots$
77658.bb1 77658.bb \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 1, 1, -27096209, 54277404599]$ \(y^2+xy+y=x^3+x^2-27096209x+54277404599\) 7224.2.0.?
77658.bc1 77658.bc \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z$ $0.210263672$ $[1, 0, 0, -44995, 1562561]$ \(y^2+xy=x^3-44995x+1562561\) 2.3.0.a.1, 84.6.0.?, 172.6.0.?, 3612.12.0.?
77658.bc2 77658.bc \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\Z/2\Z$ $0.420527345$ $[1, 0, 0, 10045, 186561]$ \(y^2+xy=x^3+10045x+186561\) 2.3.0.a.1, 84.6.0.?, 172.6.0.?, 1806.6.0.?, 3612.12.0.?
77658.bd1 77658.bd \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $0$ $\mathsf{trivial}$ $1$ $[1, 0, 0, -239387295, 63254608711641]$ \(y^2+xy=x^3-239387295x+63254608711641\) 8.2.0.a.1
77658.be1 77658.be \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $2$ $\mathsf{trivial}$ $0.121454249$ $[1, 0, 0, 456, 318528]$ \(y^2+xy=x^3+456x+318528\) 8.2.0.a.1
77658.bf1 77658.bf \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $0.076542586$ $[1, 0, 0, -5779, 171425]$ \(y^2+xy=x^3-5779x+171425\) 8.2.0.a.1
77658.bg1 77658.bg \( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) $1$ $\mathsf{trivial}$ $5.353747411$ $[1, 0, 0, -9821, 372579]$ \(y^2+xy=x^3-9821x+372579\) 7224.2.0.?
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