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Results (33 matches)

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Label Class Conductor Rank Torsion CM Regulator Weierstrass coefficients Weierstrass equation mod-$m$ images
214774.a1 214774.a \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, -286465, 54175536]$ \(y^2+xy+y=x^3-286465x+54175536\) 2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?
214774.a2 214774.a \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 1, 20355, 3979784]$ \(y^2+xy+y=x^3+20355x+3979784\) 2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?
214774.b1 214774.b \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -436584328, -3511048479960]$ \(y^2+xy=x^3-x^2-436584328x-3511048479960\) 2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.?
214774.b2 214774.b \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -27286448, -54855321664]$ \(y^2+xy=x^3-x^2-27286448x-54855321664\) 2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.?
214774.c1 214774.c \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -335116838, 2361336581300]$ \(y^2+xy=x^3-x^2-335116838x+2361336581300\) 2.3.0.a.1, 58.6.0.a.1, 92.6.0.?, 2668.12.0.?
214774.c2 214774.c \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -20933158, 36942879924]$ \(y^2+xy=x^3-x^2-20933158x+36942879924\) 2.3.0.a.1, 46.6.0.a.1, 116.6.0.?, 2668.12.0.?
214774.d1 214774.d \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -6602387, -6528145163]$ \(y^2+xy=x^3-x^2-6602387x-6528145163\) 2.3.0.a.1, 4.6.0.e.1, 56.12.0.bp.1, 92.12.0.?, 116.12.0.?, $\ldots$
214774.d2 214774.d \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, -1, 0, -412627, -101936331]$ \(y^2+xy=x^3-x^2-412627x-101936331\) 2.3.0.a.1, 4.6.0.e.1, 28.12.0.n.1, 46.6.0.a.1, 92.12.0.?, $\ldots$
214774.e1 214774.e \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $5.049626839$ $[1, -1, 0, -3492662822, 79448898174964]$ \(y^2+xy=x^3-x^2-3492662822x+79448898174964\) 2.3.0.a.1, 4.6.0.e.1, 56.12.0.bp.1, 92.12.0.?, 116.12.0.?, $\ldots$
214774.e2 214774.e \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $10.09925367$ $[1, -1, 0, -218279782, 1241569017780]$ \(y^2+xy=x^3-x^2-218279782x+1241569017780\) 2.3.0.a.1, 4.6.0.e.1, 28.12.0.n.1, 46.6.0.a.1, 92.12.0.?, $\ldots$
214774.f1 214774.f \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $9.824729852$ $[1, -1, 0, -122827, -1380285]$ \(y^2+xy=x^3-x^2-122827x-1380285\) 2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?
214774.f2 214774.f \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $4.912364926$ $[1, -1, 0, 30583, -183687]$ \(y^2+xy=x^3-x^2+30583x-183687\) 2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.?
214774.g1 214774.g \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $7.132935680$ $[1, -1, 0, -2614417, -1626420675]$ \(y^2+xy=x^3-x^2-2614417x-1626420675\) 2.3.0.a.1, 28.6.0.c.1, 232.6.0.?, 1624.12.0.?
214774.g2 214774.g \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $3.566467840$ $[1, -1, 0, -159857, -26538467]$ \(y^2+xy=x^3-x^2-159857x-26538467\) 2.3.0.a.1, 14.6.0.b.1, 232.6.0.?, 1624.12.0.?
214774.h1 214774.h \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $1.883729000$ $[1, 0, 1, -7682, -2573468]$ \(y^2+xy+y=x^3-7682x-2573468\) 3.4.0.a.1, 69.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 8004.16.0.?
214774.h2 214774.h \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $5.651187001$ $[1, 0, 1, 69023, 68854228]$ \(y^2+xy+y=x^3+69023x+68854228\) 3.4.0.a.1, 69.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 8004.16.0.?
214774.i1 214774.i \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -20760351, 36389760005]$ \(y^2+xy=x^3+x^2-20760351x+36389760005\) 2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?
214774.i2 214774.i \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -1123871, 725985029]$ \(y^2+xy=x^3+x^2-1123871x+725985029\) 2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?
214774.j1 214774.j \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -91575793864, -10666469383011780]$ \(y^2+xy=x^3+x^2-91575793864x-10666469383011780\) 2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.?
214774.j2 214774.j \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 1, 0, -5714978244, -167185610877568]$ \(y^2+xy=x^3+x^2-5714978244x-167185610877568\) 2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.?
214774.k1 214774.k \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $2$ $\Z/2\Z$ $6.943004778$ $[1, 0, 0, -194683, 730005]$ \(y^2+xy=x^3-194683x+730005\) 2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.?
214774.k2 214774.k \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $2$ $\Z/2\Z$ $6.943004778$ $[1, 0, 0, 48657, 97321]$ \(y^2+xy=x^3+48657x+97321\) 2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.?
214774.l1 214774.l \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -21032522, -37126217180]$ \(y^2+xy=x^3-21032522x-37126217180\) 2.3.0.a.1, 58.6.0.a.1, 644.6.0.?, 18676.12.0.?
214774.l2 214774.l \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $0$ $\Z/2\Z$ $1$ $[1, 0, 0, -1396042, -504181980]$ \(y^2+xy=x^3-1396042x-504181980\) 2.3.0.a.1, 116.6.0.?, 322.6.0.?, 18676.12.0.?
214774.m1 214774.m \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\mathsf{trivial}$ $2.763312422$ $[1, 1, 1, -53969, -4861137]$ \(y^2+xy+y=x^3+x^2-53969x-4861137\) 116.2.0.?
214774.n1 214774.n \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $1.910170663$ $[1, -1, 1, -211369191, 1133595237887]$ \(y^2+xy+y=x^3-x^2-211369191x+1133595237887\) 2.3.0.a.1, 232.6.0.?, 644.6.0.?, 37352.12.0.?
214774.n2 214774.n \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $0.955085331$ $[1, -1, 1, -208914631, 1162304753471]$ \(y^2+xy+y=x^3-x^2-208914631x+1162304753471\) 2.3.0.a.1, 232.6.0.?, 322.6.0.?, 37352.12.0.?
214774.o1 214774.o \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $26.89172853$ $[1, -1, 1, -6112181686, -183924205348939]$ \(y^2+xy+y=x^3-x^2-6112181686x-183924205348939\) 2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.5, 184.24.0.?, 322.6.0.?, $\ldots$
214774.o2 214774.o \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/4\Z$ $6.722932132$ $[1, -1, 1, -382984726, -2858362494155]$ \(y^2+xy+y=x^3-x^2-382984726x-2858362494155\) 2.3.0.a.1, 4.12.0-4.c.1.1, 56.24.0-56.z.1.13, 92.24.0.?, 1288.48.0.?
214774.o3 214774.o \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $13.44586426$ $[1, -1, 1, -382011366, -2873743918219]$ \(y^2+xy+y=x^3-x^2-382011366x-2873743918219\) 2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.3, 92.24.0.?, 644.48.0.?
214774.o4 214774.o \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $6.722932132$ $[1, -1, 1, -23814886, -45137954955]$ \(y^2+xy+y=x^3-x^2-23814886x-45137954955\) 2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$
214774.p1 214774.p \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $11.13156615$ $[1, 1, 1, -9005707, -4702410761]$ \(y^2+xy+y=x^3+x^2-9005707x-4702410761\) 2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.?
214774.p2 214774.p \( 2 \cdot 7 \cdot 23^{2} \cdot 29 \) $1$ $\Z/2\Z$ $5.565783075$ $[1, 1, 1, -4556817, 3691754891]$ \(y^2+xy+y=x^3+x^2-4556817x+3691754891\) 2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.?
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